The equation and the table show the cost,y, for different sports programs as functions of the number of classes, x.

Answers

Answer 1

Based on the table and equation given:Gymnastics is less expensive when the classes is 1.Ice-skating is less expensive when the classes is 3 or 4.

How to Apply Equations and Tables?Given that y represents the cost, and x represents the number of classes, to complete the statements, the table is given for Gymnastics while the equation, y = 18x + 20 is given for Ice-skating program.Since the table already shows the cost for each specific number of classes for Gymnastics, find that of Ice-skating program for 1, 2, 3, and 4 classes.

For 1 class, substitute x = 1 into y = 18x + 20:

y = 18(1) + 20

y = $38

For 2 class, substitute x = 2 into y = 18x + 20:

y = 18(2) + 20

y = $56

For 3 class, substitute x = 3 into y = 18x + 20:

y = 18(3) + 20

y = $74

For 4 class, substitute x = 4 into the equation y = 18x + 20:

y = 18(4) + 20

y = $92

From the above, we can conclude that, Gymnastics is less expensive when the classes is 1.

Ice-skating is less expensive when the classes is 3 or 4.

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Related Questions

Which graph represents the solution to the inequality −0.96 is greater than or equal to the product of a number and 0.3?

number line with closed circle on point negative 9.3 and arrow shaded to the right
number line with open circle on point negative 9.9 and arrow shaded to the left
number line with closed circle on point negative 3.2 and arrow shaded to the left
number line with closed circle on point negative 3.2 and arrow shaded to the right

Answers

The graph that represents the solution to the inequality −0.96 is greater than or equal to the product of a number and 0.3 number line with a closed circle on point negative 3.2 and arrow shaded to the left

What is the graph?

Generally, To solve this inequality, we can start by multiplying both sides by the reciprocal of 0.3, which is 3. Doing so gives us the inequality:

−0.96 * 3 >= x * 0.3 * 3

Simplifying the right side gives us:

−0.96 * 3 >= x * 0.9

Then we can simplify both sides further:

−2.88 >= x * 0.9

Dividing both sides by 0.9 gives us:

−3.2 >= x

The solution to this inequality is all values of x that are less than or equal to -3.2.

The graph of this inequality would be a number line with a solid dot at -3.2, and a solid line extending to the left of -3.2, as shown below:

(graph with number line and solid dot at -3.2, and solid line extending to the left)

This graph represents the solution to inequality.

Answers

Answer:

The transformations applied to the parent function k(x)=x| to obtain f(x)= -1/2|x+3/-1 are reflection in the y-axis, vertical stretching by a factor of 1/2, and a horizontal shift of 3 units to the right.

Step-by-step explanation:

To obtain f(x) from k(x), we first reflect k(x) in the y-axis, which changes the sign of the function and flips it over the x-axis. This gives us -k(x). Next, we vertically stretch the graph of -k(x) by a factor of 1/2. This makes the graph of -k(x) taller and narrower. Finally, we shift the graph of -k(x) 3 units to the right. This moves the entire graph 3 units to the right on the x-axis. The resulting function is f(x)=-1/2|x+3/-1.To understand why these transformations were applied, it's helpful to consider the effect of each transformation on the graph of k(x)=x|. Reflecting in the y-axis flips the graph over the x-axis and changes the sign of the function, so it becomes -k(x). Vertical stretching by a factor of 1/2 makes the graph of -k(x) taller and narrower. Finally, shifting the graph of -k(x) 3 units to the right moves the entire graph 3 units to the right on the x-axis. This results in the graph of f(x)=-1/2|x+3/-1.

Answer:

(Assuming it is k(x) = |x| and f(x) = -1/2|x+3| -1

Scale vertically by a factor of -1/2

Shift left 3

Shift down 1

Step-by-step explanation:

The -1/2 is multiplied by everything, so it scales the graph vertically by -1/2. The -1 is again, everything(as opposed to just modifying the x), so it shifts the graph down by 1.

The + 3 is a little more confusing. Basically, x would have to be x-3(which is shifting the graph left) in order to retain the same x-value(to make the equation true) for the same value. This is the same for y, but we usually isolate y so it doesn't come up as often. If we add 1 to both sides, we get [tex]f(x) + 1= -1/2|x+3|[/tex], and for the same reasoning the graph would shift down 1 even though it is f(x) + 1, because for the same x-value the y-value would need to be 1 less to make the equation to hold true.

Feel free to message me/comment on this answer if you would like more clarification/why it is "backwards" or anything else about my answer.

I hope this helps!

Do the expressions (-2)(3) and (2)(-3) have the same value? Show your thinking .

Answers

Both expressions have the same value no matter if the number is changed.
(-x)(y) = -xy
(x)(-y) = -xy

Until this happens:
(-x)(-y) = xy

Abracadabra I think this is it

Using a given zero to write a polynomial as a product of linear factors: Real zeros
For the polynomial below, -1 is a zero.
g(x)=x³ + 3x² - 7x − 3
Express g(x) as a product of linear factors.
g(x) =

Answers

We can not write the polynomial g(x) as a product of linear factors.

What is polynomial?

Using mathematical operations like addition, subtraction, multiplication, and division, a polynomial is an expression made up of variables, constants, and exponents (No division operation by a variable).

Given:

g(x)=x³ + 3x² - 7x − 3 and x = -1 is a zero of g(x).

Since, if x = a is a zero of the polynomial then (x - a) is a factor of polynomial.

Here (x - (-1)) = (x + 1) is a factor of g(x).

First to check x = -1 is a zero of polynomial or not.

Plug x = -1 in g(x).

g(-1) = (-1)^3 + 3(-1)^2 - 7(-1) - 3

g(-1) = -1 + 3+ 7 - 3

g(-1) = 6

g(-1) ≠ 0

Hence, we can not write the polynomial g(x) as a product of linear factors.

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To qualify for the next marathon, a runner's time must be less than 314 hours. Indicate whether or not each runner will qualify for the next marathon.

who will qualify?

Answers

Answer:

(It's weird how I answered this question for someone else 12 minutes ago.)

There was no data provided but due to simple research i have conducted the following data

Qualifiers are in bold, italics and underlined.

Step-by-step explanations:

Chio- 3 1/5

Kevin- 3.2

Ojas- 3 8/30

Sydney- 3 13/60

Qualifiers: Chico, Kevin

let me know if this is incorrect data

HELP

Q1: e + -10.67 + 553⅝² - e × 8⅘⁴

Q2: 95⅚⁵ + -8⅚ + 1⅜

Q3: e⁸ + ⅓² × π × π³

Q4: φ⁸ ÷ 80 - 1⅗ + -108⅔

Answers

Answer:

Step-by-step explanation:

Two similar triangles have perimeters in the ratio of 2:7. The smaller
triangle has sides measuring 6 inches, 7 inches, and 8 inches. How long, in
inches, is the longest side of the larger triangle?
A) 18
B) 21
C) 28
D) 56
E) 74

Answers

A)это точно правильно

Answer for brainlist and hearts 19 points and show every step

Answers

To view the representation of graph of check the attached image.

What is called graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things.

Given that ;

Stewart's overdue assignment = 36

Per day he complete 4 overdue assignments.

To find : In how many days he complete all the overdue assignments

To complete 36 overdue assignments = 36/4

= 9 days

Therefore, In 9 days he complete all the overdue assignments

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a student scores 68 on a geography test and a 249 on a mathematics test. the geography test has a mean of 80 and a standard deviation of 10. the mathematics test has a mean of 300 and a standard deviation of 34. if the data in both tests are distributed equally, which test did the student do better one?

Answers

The student did better in the test of Geography.

What is Standard Deviation ?

The standard deviation is a measure of the amount of variation or dispersion of a set of values.

To solve this question, we will use the z-score formula to find the w test in which the student scored better. The z-score formula is;

z = (x - μ)/σ

Now, for Geography we have given :

Test score (x) = 68

Mean (μ) = 80

Standard deviation (σ) = 10

Thus, the z-score here will be :

z = (68 - 80)/10

z = -1.2

Similarly, for Mathematics we have given :

Test score (x) = 249

Mean (μ) = 300

Standard deviation (σ) = 34

Thus, the z-score here will be :

z = (249 - 300)/34

z = -1.5

Since the z-score for Geography is less than that of Mathematics, thus, we can conclude that the Geography test is the one in which the student scored better.

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Mackenzie ha ome red, yellow and blue marble. She ha 3200 more red marble than yellow marble. She ha 3840 more blue than yellow. She give 1490 blue marble away. How many more red marble than blue marble doe he have left?

Answers

We know that there are 850 more red marbles left than blue marbles by solving equations.

What are equations?

The equals sign is used in mathematical equations to indicate that two expressions are equal.

An equation is a claim that demonstrates the equality of two mathematical expressions, according to algebra.

For instance, the word "equal" separates the formulas 3x + 5 and 14, which together form the equation 3x + 5 = 14.

So, a number of red marbles more than blue marbles is:

Mackenzie has 3200 more red than yellow marbles.
y + 3200 = r

Additionally, she has 3840 more blue than yellow marbles.

y + 3840 = b

Assume Mackenzie has one yellow marble, then.

1 + 3200 = 3201 red marbles

1 +3840 = 3841 blue marbles

She will have left over 2351 blue marbles after giving away 1490

3841 - 1490 = 2351

She now has 3201 red marbles and 2351 blue marbles.

r - b =?

3201 - 2351 = 850

Therefore, we know that there are 850 more red marbles left than blue marbles by solving equations.

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What is an angle that is supplementary to BGD

Answers

Answer:

DGE and BGA

Step-by-step explanation:

Supplementary angles are two angles whose measures add up to 180°

so BGD + DGE = 180 or BGD + BGA = 180

so both DGE and BGA are supplementary to BGD

A science club has 13 members. The club bought b bumper stickers to split among its members. Write an expression that shows how many bumper stickers each member will get.

Answers

Answer: b/13

Step-by-step explanation:

Divide b by 13 to get b/13

help pleaseee dlkwekemmwnd right now

Answers

By using the property of congruency of triangles,

[tex]\angle[/tex]Y [tex]\cong[/tex] [tex]\angle[/tex]X has been proved

What is congruency of triangles?

Two triangles are said to be congruent if the corrosponding angles are equal and the corrosponding sides are equal.

There are different axioms of congruency. They are

SSS axiom, SAS axiom, AAS axiom, ASA axiom, RHS axiom

Z is the midpoint of XY [Given]

WZ [tex]\perp[/tex] XY [Given]

[tex]\angle[/tex]WZX [tex]\cong \angle[/tex]WZY [90° each]

XZ [tex]\cong[/tex] YZ [Z is the midpoint of XY]

WZ [tex]\cong[/tex] WZ [Reflexive property of congruency]

[tex]\Delta[/tex] WXZ [tex]\cong \Delta[/tex] WYZ [SAS axiom]

[tex]\angle[/tex]Y [tex]\cong[/tex] [tex]\angle[/tex]X [Corrosponding parts of congruent triangles are congruent]

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Samon opened a bank account with 1. 25% imple interet. The total amount of interet Samon will earn after 20 year i $812. 50. What i the interet for one year?

Answers

162.5 is the simple interest for one year.

What does the term "simple interest" mean?

The principal of a loan or the initial deposit into a savings account serves as the foundation for simple interest.

Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.

P = $812.50

T = 1 Year

S.I. = ?

R = 20

According to question,

S.I. = P * R* T/100

= 812.50 * 20 * 1/100

= 16250/100

= 162.5

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Which decimal is equivalent to 2/27

Answers

Answer:

0.07407407

Step-by-step explanation:

divide 2 by 27

Answer:

0.0740

Step-by-step explanation:

just divide 2 by 27

In the following expression, both A and B are variables that can take positive values.

(A+7)*2^B

Which of these actions will cause the expression's value to increase?
Choose 2 answers:

Answers

Answer:

its 3/5 and 9/5

Step-by-step explanation:

HOPE IT HELP :D

At a local restaurant, Tony earns $12.50 per hour with a 13% deduction for taxes and social security. His
overall earnings are modeled by the expression, 12.5-0.13(12.5x), where a represents the number of
hours Tony worked.
Tony deposits 38% of his overall wages into his savings account. How many hours will he need to work to save
$1,000?

Answers

The total number of hours Tony will he need to work to save amount $1,000 is 242 hours.

Explain the term deductions on salary?Payroll deductions are sums of money taken out of an employee's overall pay to cover taxes, garnishments, and perks like health insurance. Income tax may be one of these with holdings, which make up the difference in gross pay or net pay. tax on social security.

The given data for the question is-

Tony makes $12.50 per hour at a nearby restaurant after a 13% tax and social security deduction.The equation 12.5x - 0.13(12.5x), where an is the total number of hours Tony worked, is used to model his overall earnings.38% of Tony's total pay goes into the savings account.

Thus,

38%(12.5x - 0.13(12.5x)) = 1000

0.38(10.875x) = 1000

x = 2631.57/10.875

x = 241.98

x = 242

Thus, total number of hours Tony will he need to work to save

$1,000 is 242 hours.

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Question is attached

Answers

A1= a•r=1•3=3
A2=ar^2=1•3^2=9
A3=ar^3=1•3^3=27

Option D} none of the above

Answer:

D) None of the above

------------------------------------

Let the numbers be:

1, x, y, z, 81

Geometric means give us:

y² = 1*81 ⇒ y = 9

Then:

y² = xz ⇒ xz = 81

Given options give us:

A) 3*21 = 63 ≠ 81;B) 3*18 = 54 ≠ 81;C) Same as option A (must be a typo);

Since all the above options are false, the answer is option D.

What is the value of 9+21(13+5)? 287 395 387 540

Answers

The answer is C. 387

Step-by-step explanation:

9+21(13+5)

First do what is in parentheses:

9+21(13+5)

=9+21(18)

Next do 21(18) or 21 x 18:

9+21(18)

=9+378

The last step is to add:

9+378=387

The answer is C. 387

1/5(4x-2.5)=5(0.4+10)+3 1/3

Answers

The Value of x is 69.78 per given equation.

1/5(4x-2.5) = 5(0.4+10)+3 1/3

0.2(4x-2.5) = 5(0.4+10)+3.33

0.2(4x-2.5) = 5(10.4)+3.33

0.2(4x-2.5) = 52 + 3.33

0.2(4x-2.5)=55.33

4x-2.5 = 276.33

4x = 276.33+2.5

4x = 279.15

x = 69.78

So, the value of x is 69.78

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If f(x)=2x+1 and g(x)=x−5, find f(x)+g(x) to complete the polynomial

Answers

Answer:

[tex]\huge\boxed{\sf 3x -4}[/tex]

Step-by-step explanation:

Given functions:f(x) = 2x + 1g(x) = x - 5

Add both equations.

f(x) + g(x):

= 2x + 1 + x - 5

Combine like terms

= 2x + x + 1 - 5

= 3x - 4

[tex]\rule[225]{225}{2}[/tex]

Answer:

f(x) + g(x) = 3x - 4

Step-by-step explanation:

The problem is,

→ f(x) + g(x)

Let's solve the problem,

→ f(x) + g(x)

→ (2x + 1) + (x - 5)

→ 2x + 1 + x - 5

→ (2x + x) + (1 - 5)

→ 3x +(-4)

→ 3x - 4

Hence, answer is 3x - 4.

Graph the line that has a slope of
1
6
and includes the point (0,0).

Answers

Hence, the line having the slope of [tex]\frac{1}{6}[/tex] which includes the point [tex](0,0)[/tex] is [tex]y=\frac{x}{5}+c[/tex].

What is the slope of line?

The slope is always estimated by determining the ratio of the “vertical change” to the “horizontal change” between any two different points on a line.

Here given thaat the line that has a slope of [tex]\frac{1}{6}[/tex] which includes the point [tex](0,0)[/tex].

Then,

[tex]y=mx+c\\\\y=\frac{x}{5}+c\\\\x=0,y=0\\\\0=0+c\\\\c=0[/tex]

Thus,

[tex]y=\frac{x}{5}+c\\\\c=0[/tex]

Hence, the line having the slope of [tex]\frac{1}{6}[/tex] which includes the point [tex](0,0)[/tex] is [tex]y=\frac{x}{5}+c[/tex].

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Select all of the following that are quadratic functions.
x=3y²-6y+5
y+3=-2x2+5
y=2x2−8x+6
y=-7x-4
y-3x=4x³-x² +9
y = 5 x(x +9)-8
y-2x²=3x-2x²+4
DONE

Answers

Step-by-step explanation:

For this select the function with the leading term with the power of 2

1 and 6 are the only quadratic function ( BECAUSE THEY ONLY HAVE FUNCTION WITH GREATEST POWER OF 2)

1 For 7-8, given two sides of a triangle, find a range of possible lengths for the third side 7. 4 cm, 17 cm 8. 24 ft , 52 ft

Answers

The range of possible lengths for the third side is [16.52,17.46] for 1st part and [46.13,57.27] for 2nd.

What is pythagoras theorem?

The Pythagorean theorem or Pythagoras' theorem could be a elementary relation in parabolic geometry between the 3 sides of a trigon.

Main Body:

To find range of possible lengths for the third side , we will use Pythagoras theorem : a²+b² = c²

7. 4 cm, 17 cm

4²+17²=c²

16+289=c²

305=c²

To undo the square you have to square root so

√ 305 =17.46

17² = 4²+b²

289 -16 =b²

b = √273 = 16.52

range of possible lengths for the third side is [16.52,17.46]

8. 24 ft , 52 ft

24² =576

52² =2704

2704+576=3280

√3280 =57.27

52² = 24²+b²

b²= 2704-576

b=√2128

b = 46.13

range of possible lengths for the third side is [46.13,57.27]

Hence the range of third side is found out.

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Are the polygons similar? If they are, write a similarity statement and give the scale factor.

The image consists of two quadrilaterals PQSN and AGKD. The lengths of the sides PQ = 10, QS = 7.5, SN = 15, NP = 15, AG = 12, GK = 12, KD = 8 and DA = 6. Angle P is congruent to angle K. Angle S is congruent to angle A. Angle N and G are right angles.

A. no

B. yes; POSN ~ KDAG, scale factor: 5 : 4

C. yes; POSN ~ KDAG, scale factor: 4 : 5

Answers

The polygons (quadrilaterals) are similar by the congruency of three interior angles and the equal ratios (5 : 4) of a pair of adjacent sides. The correct option is therefore

B. Yes; PQSN ~ AGKD, scale factor; 5 : 4

What are similar polygons?

Similar polygons are polygons that have the same interior angle, and proportional dimensions.

The specified parameters indicate that we have;

Polygon PQSN and AGKD are quadrilaterals

Length of sides of polygon PQSN

Length of side PQ = 10, QS = 7.5, SN = 15, NP = 15

Length of sides of polygon AGKD

AG = 12, GK = 12, KD = 8, DA = 6

The measure of the angles are;

∠K ≅∠S

∠S ≅ ∠A

∠N = ∠G = 90°

The angle sum property of a quadrilateral indicates that the measure of the fourth angle of both quadrilateral are congruent

The ratio of two adjacent sides of the quadrilaterals are;

7.5/6 and 10/8

7.5/6 = 1.25

10/8 = 1.25

Therefore;

[tex]\dfrac{7.5}{6} =\dfrac{10}{8} =1.25[/tex]

The ratio of two adjacent sides of the quadrilaterals PQSN and AGKD are therefore the same.

The three interior angles of quadrilateral PQSN are congruent to three interior angles of quadrilateral AGKD, and the ratio of two adjacent sides from each quadrilateral are the same, therefore, quadrilaterals are PQSN is similar to quadrilateral AGKD

The scale factor of dilation from quadrilateral PQSN to AGKD is 7.5 : 6 = 15 : 12 = 5 : 4

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suppose we have trained 10 different models on the exact same training data, and magically, they all achieve 95% precision. is there any possibility these models could all be combined to achieve better performance? if so, how? if not, why?

Answers

If you train 10 distinct models on the same training data, try integrating them into a voting ensemble, which will eventually produce better results.

what is voting ensemble ?

Voting is an ensemble technique for making predictions by combining the results of various models. The predictive performance of an ensemble is better than that of a single predictive model in a predictive modeling issue. This is accomplished by the model adding bias, which lowers the variance component of the prediction error

calculation

Voting ensembles frequently produce even better results, so try combining them.

The models should differ greatly for it to operate. 95 percent accuracy.

We will therefore get better results if we combine them.

If you train 10 distinct models on the same training data, try integrating them into a voting ensemble, which will eventually produce better results.

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Miles is shopping for a new computer. He finds a computer with an original price of $325. 00 but finds that it is 15% off. After paying a 7% sales tax, how much does miles spend on his new computer?.

Answers

Miles has to spend $295.3375 on his new computer.

Sales tax is applied to the price after the discount is applied because discounts are typically provided directly by the retailer and lower both the sales price and the money the retailer receives.

So Original price of Computer is $325.00

Discount with computer is 15% off.

15% of $325 is (325*15)/100 = $48.75.

Price of computer after discount = 325-48.75 =$276.25

Now sales tax will be applied on this price.

7% sales tax = 0.07

amount of sales tax = 276.25*0.07 = 19.3375

Price of Computer after sales tax = 276+19.3375 = 295.3375.

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10 post hole that are 3 feet deep and 1 foot across with a pipe down the center that is 3 inches in diameter

Answers

The total volume of all 10 holes and pipes is about 24.135 cubic feet.

What is Volume?

Generally, To calculate the volume of the holes, you can use the formula for the volume of a cylinder:

Volume = π * radius^2 * height

In this case, the radius of the hole is 0.5 feet (since the hole is 1 foot across and the diameter of the pipe is 3 inches, which is 0.25 feet), and the height is 3 feet. Plugging these values into the formula, we get:

Volume = π * 0.5^2 * 3 = 0.785 * 3 = 2.355 cubic feet

So each hole has a volume of about 2.355 cubic feet. To find the total volume of all 10 holes, you can simply multiply this number by 10:

Total volume = 2.355 * 10 = 23.55 cubic feet

This is the volume of the holes themselves, not including the volume of the pipes. To find the volume of the pipes, you can use the same formula, but with the radius of the pipe (which is 1.5 inches, or 0.125 feet) and the length of the pipe (which is 3 feet).

Volume = π * 0.125^2 * 3 = 0.0195 * 3 = 0.0585 cubic feet

So the volume of one pipe is about 0.0585 cubic feet. To find the total volume of all 10 pipes, you can multiply this number by 10:

Total volume = 0.0585 * 10 = 0.585 cubic feet

23.55 + 0.585 = 24.135 cubic feet.

Answers

y=2x+6+1
y=2x+7
i.e m= +2

Answer: M=2

y-intercept = (0,7)

x-intercept = (-7/2,0)

Step-by-step explanation:

The slope is already given in the equation, which is 2

M=2

y-intercept = (0,7)

x-intercept = (-7/2,0)

Noah is going to invest in an account paying an interest rate of 7% compounded continuously. How much would Noah need to invest, to the nearest hundred dollars, for the value of the account to reach $12,900 in 10 years?

Answers

The amount of money that Noah needs to invest would be = $ 6,558

What is interest rate?

An interest rate is defined as the rate at which an individual receives an interest on an invested funds over a stipulated period of time.

The interest rate (R) = 7% = 0.07 (decimal form)

The time for the investment (T) = 10 years.

The present value of the account (A) = $12,900

n compounding frequency = 1

Using the formula;

A = P (1 +r/n) ^nt

12,900 = P ( 1 + 0.07) ^ 10

12,900 = P (1.07) ^10

12,900 =P 1.96715

P = 12,900/1.96715

P =$ 6,558

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a plane ticket cost $30 per ticket max ended up haveing to spend $900 how many tickets did he buy ??? the sras curve has a positive slope since the quantity of aggregate output supplied in the short run as the aggregate price level . Will give Brainliest if correct answer!Identify each description of a quadrilateral as one of the following. I. a characteristic of parallelograms II. a condition ensuring a quadrilateral is a parallelogram III. both I and II Iv. Neither I nor II a. two pairs of congruent opposite sides b. two pairs of congruent opposite angles [III] c. two pairs of consecutive sides are congruent d. four congruent angles e. one pair of parallel sides and a pair of congruent opposite sides Was robespierre justified in using terror to control France? reasons for both yes and no please How much energy is required to heat 100g of ice at -10C to steam at 110C? What is the difference between an antisocial person and a person who has antisocial personality disorder? The United Nations development program describes climate justice as What is 467 x 6 method 200-8.(2x+7)=112(2x-123):3=33 Why is the milky way galaxy not expanding together with the rest of the universe?. Choose the best synonym for the word "gratuitously" as it is used in this excerpt from Let Sleeping Dogs Lie. What is the percent of increase from 37.5 to 73.2? Do you think it is harder for architects (people who design buildings) to protect structures against internal or external forces? Why? What is the length of OP if the scale factor of the dilated segment is 2.5?A. 10cmB. 2.5cmC. 6.5 cm D. 7.5 cm Managers and executives are commonly information ______________, because they use information created by IT developers and analysts. Evaluate the following: Logn(-n)2 = ? A school is arranging a field trip to the zoo. The school spends 835.19 dollars on passes for 45 students and 2 teachers. 2What business approach measures team performance by the success of each group member?OA. the results approachOB. the individual approachO c. the behaviors/process approachO D. the personal approachResetNext the following code checks if the value in memory address x3025 is equal to 32, and if so, it prints a message to the screen. however, it has a bug. Could someone help me with my math?? Neville says, "I add because of the wordsin all. The answer is 9 pencils." Anthony says,"I multiply because there are equal groups.The answer is 18 pencils." Who is correct?Explain.