Carl placed $2,600 in a savings account that compounds interest annually at a rate of 0.5%. How much will he have in the account after 7 years

Answers

Answer 1

Answer:

$2,691

Step-by-step explanation:

Interest (I) = Principal x Rate x Time

Total Amount (A) = Interest + Principal

I = 2600(.005)(7)

I = 91

A = 2600 + 91

A = 2691


Related Questions

167<6+7(2+7r)
what is it please help

Answers

Answer:

3 < r

Step-by-step explanation:

167<6+7(2+7r)

distribute the 7 to the 2 and 7r

7 * 2 = 14 and 7 * 7r = 49r

167 < 6 + 14 + 49r

combine like terms: 6 + 14 = 20

167  < 20 + 49r

subtract 20 from both sides

147 < 49r

divide both sides by 49

3 < r

What are the factors of the trinomial 3x^2 + 16x + 5? Show your work analytically

Answers

Answer:

3x+1 and x+5 are the factors

Step-by-step explanation:

Here's the slide-and-divide method to find the factors:

[tex]3x^2+16x+5[/tex]

[tex]\frac{3x^2}{3}+16x+5(3)[/tex]

[tex]x^2+16x+15[/tex]

[tex](x+1)(x+15)[/tex]

[tex](3*x+1)(x+\frac{15}{3})[/tex]

[tex](3x+1)(x+5)[/tex]

solutions of the quadratic $x^2 + 7x - 18 = 0.$

Answers


(x^2+7x-18) can be factored into (x+9)(x-2). Set each part equal to zero and solve for x.

x+9=0 => x=-9
x-2=0 => x=2

I’m guessing the dollar signs aren’t supposed to be there.

The solution of the quadratic equation x² + 7x - 18 = 0 will be 2 and negative 9.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.

The quadratic equation is given below.

x² + 7x - 18 = 0

Factorize the quadratic equation, then we have

x² + 7x - 18 = 0

x² + 9x - 2x - 18 = 0

x(x + 9) - 2(x - 9) = 0

(x + 9)(x - 2) = 0

x = 2, -9

The arrangement of the quadratic condition x² + 7x - 18 = 0 will be 2 and negative 9.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

there are 6 cups of sugar in 5 batches of cookies. how many cups are in 1 batch

Answers

Answer:

1.2 cups

Step-by-step explanation:

6 cups / 5 batches = 1.2 cups/batch

Select the correct expression

r less than 52

Answers

Answer:

no because r is a varible that dont have number

The correct expression of  r less than 52 is r<52.

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is r less than 52

We have to write in the form of inequality

A relationship between two expressions or values that are not equal to each other is called 'inequality.

The less than represents the relationship between r and 52

In the given expression r is the variable

r<52 is the required expression or inequality

Hence, the correct expression of  r less than 52 is r<52.

To learn more on Expressions click:

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Use the diagram to answer the question that follows.


What is the image of C under the translation described by the translation rule (x, y) + (x +4,
y - 10)?

D

B

E

A

Answers

Answer:

B

Step-by-step explanation:

So we are at C:

We need to find the dilation:

First we add 4 to x (meaning we move the point C 4 points to the right)

Then we need to subtract 10 to y (meaning we move the point C 10 points downwards)

This will give you your point:

Which is B

Hope this helps!

At a delicatessen there were 20 different kinds of cheese and 30 kinds of meats. What is the ratio of cheese to meats at this delicatessen?

Answers

Answer:

2:3

Step-by-step explanation:

Simply divide each by 10

20/10=2

30/10=3

and your ratio is 2:3

Match the example on the left with the corresponding property on the right.
3(x - 2) = 3x - 6
Commutative
3+ (4 + 5) = (3 + 4) + 5
Associative
- 4x - 8 = – 2(2x + 4)
Distributive
4.5.6=6.4.5
(2.3). 7 = 2 · (37)

Answers

3(x - 2) = 3x - 6 ---> Distributive

3+ (4 + 5) = (3 + 4) + 5 ---> Associative

- 4x - 8 = – 2(2x + 4) ---> Distributive

4.5.6=6.4.5 ---> Commutative

(2.3). 7 = 2 · (37) ---> Associative

3x - y = 23
2x + 3y = 8​

Answers

Answer: x = 11

Step-by-step explanation:

You didn't state what you needed for these problems so I'm going to assume you need to solve for X.

1st Equation:

3x - y = 23 --> y = 3x - 23

2nd Equation:

2x + 3y = 8 --> (3y = 8 - 2x)/3 = y = 8/3 - 2x/3

Set Equations = to Each other

3x - 23 = 8/3 - 2x/3 --> 3x - 2x/3 = 8/3 + 23

9x/3 - 2x/3 = 8/3 + 69/3 --> 7x/3 =77/3

7x/3 X 3/7 = 77/3 X 3/7

x = 11

If you need to solve for y as well plug the x value back into the original equation and solve.

IF ANYONE CAN ANSWER THESE 2 QUESTIONS I WILL GIVE YOU BRAINLIEST AND LOVE YOU FOREVER. SERIOUSLY, ILL NEVER FORGET U <3

Answers

Answer:

3. 314 student and 226 adult

4. x = 6.5, y = -0.5

Step-by-step explanation:

3. First we will take our information and make a system of equations:

[tex]2.4a+1.25s=934.9[/tex]

[tex]a+s=540[/tex]

[tex]a[/tex] is the number of adult tickets sold and [tex]s[/tex] is the number of student tickets sold.

From the second equation we can rearange it to be:

[tex]a=540-s[/tex]

Then we can plug in our new value of [tex]a[/tex] to our first equation

[tex]2.4(540-s)+1.25s=934.9[/tex]

[tex]1296-2.4s+1.25s=934.9[/tex]

[tex]1.15s=361.1[/tex]

[tex]s=314[/tex]

We can then find [tex]a[/tex] by plugging in s to our second equation

[tex]a+314=540[/tex]

[tex]a=226[/tex]

4. It is mostly solved already. We can take the value of y from the first equation and plug it into the second to get:

[tex]3x -5(-5x+32)=22[/tex]

[tex]3x+25x-160=22[/tex]

[tex]28x=182[/tex]

[tex]x=6.5[/tex]

Then plug our value of x into the first equation to get:

[tex]3(6.5)-5y=22[/tex]

[tex]19.5-5y=22[/tex]

[tex]5y=-2.5[/tex]

[tex]y=-0.5[/tex]

PLEASE HELP I WILL GIVE BRAINLIEST IF YOU ARE CORRECT
Which of the following is a function equivalent to
f(x)=3(1.2)4x ?

Group of answer choices

f(x)=3(2.01)x


f(x)=3(2.07)x


f(x)=3(4.8)x

f(x)=12(1.2)x

Answers

Answer:

f(x)=12(1.2)x

Step-by-step explanation:

help ita due in 5 mins

Trapezoid GHIJ is located in the coordinate plane at points
G(0,0),H(−1,2),I(3,2),and J(2,0).
Three transformation scenarios are described.

1. Reflect GHIJ in the x-axis and then reflect that image in the y-axis.

2. Rotate GHIJ 90º counterclockwise about the origin and then translate that image 2 units up.

3. Dilate GHIJ by a scale factor of
1
2
centered about the origin and then translate that image 2 units to the left.

Which transformation(s) produce an image that is congruent to the given figure?


Number 1 only

Number 1 only

Numbers 1 and 2

Numbers 1 and 2

Numbers 2 and 3

Numbers 2 and 3

Numbers 1, 2, and 3

Numbers 1, 2, and 3

Answers

A rigid transformation is one in which the distance between pairs of points

are preserved, and the image and preimage have the same dimensions.

The transformations that will produce an image that is congruent to the given figure is; Number 1 and 2.

Reasons:

The vertices of the trapezoid GHIZ are G(0, 0), H(-1, 2), I(3, 2), and J(2, 0)

The given transformations are;

1. GHIJ is reflected in the x-axis and the image is reflected in the y-axis

The above transformation is a double reflection.

2. GHIJ is rotated about the origin 90° counterclockwise. The resulting

image is translated up 2 units.

3. GHIJ is dilated by a scale factor of [tex]\mathbf{\frac{1}{2}}[/tex], with the center of dilation at the

origin. The resulting image is translated 2 units left.

Required:

The transformations that produce an image that is congruent to the given figure:

Solution:

Two figures are congruent if they have the same size and shape.

With the given figure being the trapezoid GHIJ, we have that a

transformation that will give an image that is congruent to the preimage

which is the trapezoid GHIJ is a rigid transformation.

Rigid transformations are;

ReflectionRotationTranslation

The combinations of transformation given within the scenario that consists

of only rigid transformations are scenario 1 and scenario 2.

Therefore, the correct option is; Numbers 1 and 2.

Learn more about rigid transformation here:

https://brainly.com/question/1801406

Choose the statement that is true. WILL MARK BRAINLIEST
A.) For a normal distribution, 68% of the distribution is within 3 standard deviations.
B.) For a normal distribution, 95% of the distribution is within 3 standard deviations.
C.) For a normal distribution, 99.7% of the distribution is within 3 standard deviations.
D.) For a normal distribution, 100% of the distribution is within 3 standard deviations.

Answers

Answer:

option A is correct

hope it helps :)

Step-by-step explanation:

The Standard Deviation Rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean. It states that

68% of data falls within the first standard deviation from the mean.

95% fall within two standard deviations.

99.7% fall within three standard deviations.

Therefore, looking at the options, the true statement id

A) For a normal distribution, 99.7% of the distribution is within 3 standard deviations.

Solve for x when 4x+16/12=x-4

Answers

Answer:

In short, Your Answer would be either 1 or 7

Step-by-step explanation:

|4x + 12| = 16

As it is in modulus function, it could be either +ve or -ve

4x+12 = 16   OR   4x - 12 = 16

4x = 16-12    OR   4x = 16 + 12

4x = 4           OR   4x = 28

x = 4/4     OR  x = 28/4

Find the value of x to the nearest tenth. Show all
the work

Answers

Answer:

x is 15.0

Step-by-step explanation:

We can use pythagorus theorum to find the missing side of the triangle.

a² = b² + c²

a² is the longest side of the triangle, so a= 8.

b² (or you can even take c²) is one of the two sides, so b= 3

We have to find  c². So make c² the subject of the equation.

c² = a² - b²

c² = 8² - 3²

c² = 64 - 8

c² = 56

∴ c = [tex]\sqrt{56}[/tex] = 7.48 (in 2 decimal place / 3 significant figures)

Now we can assume that c is half of x.

So x = 7.48 + 7.48 = 14.96

∴ x = 15.0 (to the nearest tenth).

Which is an equation of the line through the origin and (-5,6)?
A. y=-5/6x
B. y=-6x
C. y=-5x
D. y=- 6/5x

Answers

Answer:

y=-6/5x

Step-by-step explanation:

Which value of x makes the equation 2(x-9)-2x=-3(3+7) true?

Answers

Answer:

No solution

Step-by-step explanation:

What has a slope of -1/2 and an x intercept of -8

Answers

Answer:

y=(-1/2)(x)-8

Step-by-step explanation:

Since they give the slope and y intercept, you can literally plug it into the equation:

y=mx+b

where m is slope and b is y interecept.

Therefore, we get

y=(-1/2)(x)-8

help with this problem pls

Answers

Answer:6_1/4

Step-by-step explanation:

They are different by a multiple of 3, for example, 3_1/4 * 3 = 9_3/4, etc.

This means that you just have to divide 18_3/4 bu 3, which is 6_1/4

help! ignore pencil work! any comment with a link or answer that dosnt relate or i found out later that thats the wrong answer will be deleted! PLEASE SHOW WORK

Answers

Answer: x = 13, Angle ABE = 51°

Step-by-step explanation:

Since angle ABC is 90° and angle EBC is 39°, subtract them.

90° - 39° = 51°

This means that angle ABE equals 51°. Plug in 51° as the y in the equation y = 3(x+4).

51 = 3 (x + 4)

Multiply 3 by x and 4.

51 = 3x + 12

Subtract both sides by 12.

39 = 3x

Divide both sides by 3.

x = 13

y=2x + 4
y = 2(x + 2)
what is x

Answers

Answer:

I believe 1.) is x=y-4/2 and 2.) x=y-4/2 as well

Step-by-step explanation:

1.)

y=2x+4

-subtract 4 on both sides-

y-4=2x

-divide 2 on both sides-

x=y-4/2

2.)

y=2(x+2)

-distribute the 2-

y=2x+2

-subtract 2 on both sides-

y-2=2x

-divide 2 on both sides-

x=y-2/4

I dont know exactly if this is correct, but i hope it helps! :)

I really need help with this, and also if it's Substitution or linear combination and it will be really helpful if you do step by step please. ​

Answers

Answer:

-2x+y=12

Step-by-step explanation:

linear equation

Tell whether the ordered pair is a solution to the equation please show how you solve it.


(3,2); x+6y = 13

Answers

Answer:

The ordered pair is not a solution as both sides of the equation do not equal each other.  

Step-by-step explanation:

(3,2);  x + 6y = 13

(3) + 6(2) = 13

3 + 12 = 13

15 = 13

Help bell math math math

Answers

Answer:

54

Step-by-step explanation:

C=πd

π=3

d=18

C=3×18

Therefore C=54

Answer:

c=54

Step-by-step explanation:

What are the solutions of the following system?
=
[x2 + y2 = 25
2x+y=-5
(0, -5) and (-5,5)
(0, -5) and (5, -15)
(0, -5) and (-4,3)
O (0,-5) and (4, -13)
What is it?

Answers

Answer:

Third option: (0,-5) and (-4,3)

Step-by-step explanation:

x^2 + y^2 = 25

2x + y = -5

y = -5 - 2x

x^2 + (-5-2x)^2 = 25

x^2 + 25 + 20x + 4x^2 = 25

5x^2 + 20x + 25 = 25

5x^2 + 20x = 0

5x(x+4) = 0

5x=0 --> x=0

x+4=0 --> x=-4

2(-4) + y = -5

-8 + y = -5

y = 3 --> (-4,3)

2(0) + y = -5

0 + y = -5

y = -5 --> (0,-5)

Therefore, the solutions to the system of equations are (0,-5) and (-4,3)

elise gets a free tax allowance of $6000 and pays tax at 25% on the next $20 000. she pays tax at a raye of 30% on the rest. if she earns $72 000per year, how much must she pay?​

Answers

Answer:

c

Step-by-step explanation:

i know because im not g.a.y like u guys

Write the inequality that represents the solution set to the given inequality below.

−8≥x−2≥10

Group of answer choices

4≤x≤−5


−4≤x≤5


4≥x≥−5


−4≥x≥5

Answers

Answer:

-6[tex]\geq[/tex]x[tex]\geq[/tex]12

Step-by-step explanation:

I can't match it to one of your solutions but I can explain this:

-8[tex]\geq[/tex]x-2[tex]\geq[/tex]10

We can add 2 to each side to eliminate the -2 in the centre.

-6[tex]\geq[/tex]x[tex]\geq[/tex]12

Help!! And stop with the links!!!!!

Answers

Answer:

  3, 5, 2, 1, 4

Step-by-step explanation:

In step 2, parentheses are eliminated: distributive property.

In step 3, x is subtracted: subtraction property.

In step 4, 12 is added: addition property.

In step 5, the equation is divided by 17: division property.

__

The properties are listed in the order of statements ...

  3, 5, 2, 1, 4

Javi Used to ride his bike 1.65 miles to school his family recently moved and now he only has to ride his bike 1.25 miles to school what is the percent decrease in the distance that javi has to ride to school round to the nearest tenth.

Answers

Answer:

  24.2% decrease

Step-by-step explanation:

The distance Javi must ride changed by ...

  1.25 -1.65 = -0.40 . . . miles

The ratio of that to the original distance is ...

  -0.40/1.65 × 100% ≈ -24.2%

The distance decreased by 24.2%.

If you subtract 17 from my number and multiply the difference by ​-2, the result is ​-10." What is the ​number?

Answers

Answer:

22

Step-by-step explanation:

-10/-2 is 5

5+17 is 22

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