9514 1404 393
Answer:
$974.28
Step-by-step explanation:
The formula for the account balance is ...
A = P(1 +r)^t
Subtracting the principal gives the amount of interest.
I = P((1 +r)^t -1)
i = $8500(1.0275^4 -1) ≈ $974.28
You would earn $974.28 in interest over that time period.
For values of h very close to 0, which function best approximates (tan(x+5)-tan x) / h
Answer:
[tex]sec^2(x)[/tex]
Step-by-step explanation:
This just means, what is the derivative of tan(x)The function that best approximates the given situation is sec²x.
We have to find
[tex]\lim_{h \to\00} \frac{tan(x+h)-tan x}{h}[/tex]
Since the given expression reduces to 0/0 form when we apply the limits
So, let us apply the L'hospital rule
What is the L'hospital rule to find a limit?L'Hospital's Rule tells us that if we have an indeterminate form 0/0 or ∞/∞ all we need to do is differentiate the numerator and differentiate the denominator and then take the limit.
So, after differentiating the numerator as well as the denominator of the given expression with respect to h we get
[tex]\lim_{h \to\00} \frac{sec^2(x+h)-0}{1}[/tex]
[tex]= lim_{h \to\00} \frac{sec^2(x+0)}{1}\\\\= sec^2x[/tex]
Therefore, the function that best approximates the given situation is sec²x.
To get more about limits visit:
https://brainly.com/question/23935467
Find the slope of the line that passes through (1,3) and (8,9)
Answer: 6/7 is the slope
Step-by-step explanation: 9-3/8-1
y2-y1/X2-X1
will give brainliest!!
Paula has a special puzzle in which all the pieces fit together in any way. There is no goal picture. Instead, the goal of the puzzle is to make different patterns and pictures using the pieces. If Paula has 35 unique puzzle pieces and she plans to use all of them, how many possible pictures can she create?
Answer:
Sure this is a question from probability
Possible 2^n can be use
2^35 =3.432597387 × 10^10
Step-by-step explanation:
I'm not sure
Paula can create number of possible ways of pictures are 35!.
What is a permutation?A permutation is defined as a mathematical process which determines the number of different arrangements in a set of objects when the order of the sequential arrangements.
Given that Paula has 35 unique puzzle pieces
So, the method of organizing possible pictures can she create dependent on each other to succeed.
There is an arrangement process
It is equal to the permutation of 35 numbers
⇒ ³⁵P₃₅
The formula of ⁿPₓ = n!/(n-x)!
⇒ 35!/(35-35)!
⇒ 35!/0! [∵ 0! = 1]
⇒ 35!
Hence, Paula can create number of possible ways of pictures are 35!.
Learn more about permutation here:
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Solve the following equation for x.
-4x = 28
Answer:
The answer is x=-7
Step-by-step explanation:
hope that helps
To find the x divide both side by -4
-4x = 28
-4x/-4=28/-4
x= -7
What is the factored form of this expression?
8x^3 - 8x^2 - 30x=
Write an equation of the line graphed below in slope-intercept form.
The equation of the line is y = (2/3)x -1
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
From the given graph, we have two points (0, 1) and (3,3)
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
y - 1= (3 -1 ) / (3 -0) x (x -0)
y = (2/3)x -1
The equation of the line is;
y = (2/3)x -1 {equation 1}
Slope intercept form of a line is
y = mx + b {equation 2} ,
where m is the slope and b is the y-intercept.
On comparing the equation (1) and (2) we get
It means,
Slope = 2/3
y-intercept = -1
Therefore, the equation of the line is y = (2/3)x -1
To learn more about the slope;
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Please help,thank you
Answer:
No, It is not a function!
Step-by-step explanation:
For a party, the family bought 24 pizzas for $12.50 each and 36 bottles of soda for $1.20 each. How much did the family spend on pizza? Fill in the blank with the numerical answer only. The family spent $_______ on pizza.
For a party, the family bought 24 pizzas for $12.50 each and 36 bottles of soda for $1.20 each. How much did the family spend on soda? Fill in the blank with the numerical answer only. The family spent $_______ on soda.
For a party, the family bought 24 pizzas for $12.50 each and 36 bottles of soda for $1.20 each. How much did the family spend in all? Fill in the blank with the numerical answer only. The family spent $_______ in all. *
PLZ PLZ PLZ HELP I WILL GIVE BRAINLIEST PLZ HELP AND READ ALL QUESTIONS REMEMBER GOD IS GOOD.
Answer:
1) The amount the family spent on pizza is $300
2) The amount the family spent on soda is $43.2
3) The amount the family spent in all is $343.2
Step-by-step explanation:
The number of pizzas bought by the family = 24
The price of each pizza = $12.50
The number of bottles of soda the family bought = 36
The price of each bottles of soda = $1.20
1) The amount the family spent on pizza = 24 × $12.50 = $300
2) The amount the family spent on soda = 36 × $1.20 = $43.2
3) The amount the family spent in all = The amount the family spent on pizza + The amount the family spent on soda
∴ The amount the family spent on soda = $300 +$43.2 = $343.2.
Simplify the following expression: c + 3c
Answer:
4c
Step-by-step explanation:
1c+3c = 4c
Which integer represents 8ºC below 0?
8ºC below 0 is -8ºC (negative eight degrees celsius).
Below means subtract. 0 - 8 = -8.
How many 1/3 pound servings are in 4 2/3 pounds of cheese?
Answer:
14 Serving
Step-by-step explanation:
If you multiply 1/3 14 times.
they're 13 1/3 pound servings in 4 2/3 pounds of cheese
What times 2 is -9? plz help
Answer:
-4.5
Step-by-step explanation:
-9/2= -4.5
Notebooks are originally on sale for $2.00. This school year they were marked up by 15%. What's
the new price for notebooks?
Answer:
the new notebook price is
Step-by-step explanation:
10% of $2.00 is 20 cents. 5% is 10 cents. 20+10= 30. 30 cents. $2.00+30 = $2.30
awnser please thank you
Answer: [tex]y=\frac{1}{2} x+2[/tex]
Step-by-step explanation:
The format for these equations are y=mx+b. Find the slope, which is the change in y over the change in x. When you apply this formula, you get 1/2. To find the y-intercept, just count from the origin to the place the line meets the y-axis, which is 2. Putting it together, you get the equation [tex]y= \frac{1}{2}x+2[/tex]
Estimate.Show how you estimated
219÷2=
can you guys plz help me I need to find the estimate.
Answer:
110
Step-by-step explanation:
219 divided by 2 equals 109.5, so you basically just round to the nearest whole number. You should get 110, thus, your answer. Of course, you could just leave it as 109.5, but if you want it estimated, or simplified, the information above should help.
Hope this helps!
A graphic artist created the design for a rectangular poster. The design is 12 inches by 9 inches. The poster is 48 inches by 36 inches
What scale factor did the graphic artist use to create the design?
Answer:
4
Step-by-step explanation:
Step one:
given data
The design is 12 inches by 9 inches.
[tex]length = 12 in\\\\width = 9 in[/tex]
The poster is 48 inches by 36 inches
[tex]length = 48in\\\\width = 36 in[/tex]
Step two:
divide the dimension of the poster by the dimension of the design to get the scale factor
[tex]L= 48/12= 4\\\\W= 36/9= 4[/tex]
Hence the scale factor is 4
Answer:
if im wrong im sorry but i think it is 1/4
Stet is p-by-step explanation:
Tony hit 9 out of 15 pitches at baseball practice yesterday. What percentage of the pitches did Tony NOT hit?
Answer:
5%
Step-by-step explanation:
Answer:
40%
Step-by-step explanation:
using the box method,
multiply 9 × 100
= 900 and divide 900 by 15
900 ÷ 15 = 60%
60% is the amount of pitches he hit
100% - 60% = 40%
he missed 40%
What is (3x2+x-1)(x^4-2x+1)
Answer:
3x^6+x^5-x^4-6x^3+x^2+3x-1
Step-by-step explanation:
Consider the system of equations.
y = -2x + 1
3x - 2y = 5
Solve the system of equations algebraically. Show your work.
help quick Im being timed
Answer:
Point form:
(1, -1)
Equation form:
x=1, y=-1
Step-by-step explanation:
I hope the work wasnt part of the assignment cause i really have trouble showing mine.
the question is in the image below.
Answer:455.5
Step-by-step explanation:
what 1+6? idk guys really confused
lo que uno más seis. Estoy confundido. ¡¡ayuda!!
Answer:
1+6=7
Step-by-step explanation:
Consider the line y = 4x-3.
Find the equation of the line that is perpendicular to this line and passes through the point (3, -3).
Find the equation of the line that is parallel to this line and passes through the point (3, -3).
Answer:
perpendicular line: y = -[tex]\frac{1}{4}[/tex]x - [tex]\frac{9}{4}[/tex]
parallel line: y = 4x - 15
Step-by-step explanation:
Perpendicular line:
A perpendicular line to y = 4x-3 would have a slope that is the negative reciprocal (flip the fraction and add a negative sign). The negative reciprocal of 4 is - [tex]\frac{1}{4}[/tex].
Now that we have our slope, we can plug the given point of (3, -3) into the slope-intercept equation to find b.
-3 = - [tex]\frac{1}{4}[/tex](3) + b
-3 = - [tex]\frac{3}{4}[/tex] + b
Add [tex]\frac{3}{4}[/tex] to each side of the equation to isolate b.
-[tex]\frac{9}{4}[/tex] = b
Now we can write our equation, y = -[tex]\frac{1}{4}[/tex]x - [tex]\frac{9}{4}[/tex]
Parallel Line:
A parallel line to y = 4x-3 has the same slope. To find the equation, plug the slope and given point (3, -3) into the slope intercept equation and solve for b.
-3 = 4(3) + b
-15 = b
Now you can write the equation, y= 4x -15
question: what are the equation and slope of the line shown on the grid
A. Y=-4
slope Unidentifiable
B. y=-4
slope is 0
C. X=-4
slope is unidentifiable
D. X=-4
Slope is 0
Answer:
B. y = -4. Slope is 0
can someone please help will give brainliest.
Answer:
b
Step-by-step explanation:
What is the simplest form of the expression (14.2a + 9.8b) – (13.1b – 0.2a) – (3.7a + 4.8b)?
A. 10.7a – 8.1b
B. 10.7a + 27.7b
C. 18.1a - 8.1b
D. 18.1a + 27.7b
Answer:
A) 10.7a - 8.1b
Step-by-step explanation:
(14.2a + 9.8b) - (13.1b - 0.2a) - (3.7a + 4.8b)
Combine like terms.
(14.2a + 0.2a - 3.7a) = 10.7a
(9.8b - 13.1b - 4.8b) = -8.1b
Answer:
10.7a – 8.1b
Step-by-step explanation:
Given that a minute hand travels through 360 degrees in an hour, how many degrees does it turn in only 23 minutes?
Answer:
138 degrees
Step-by-step explanation:
360 divided by 60 equals 6
every minute equals 6 degrees
23 * 6 equal 138 degrees
20 POINTS HELP NOW PLEASE
Answer:
The relation is a FUNCTION
Step-by-step explanation:
as you can see the value of domain or the x there's no repeating number at all.
Answer:
Not a function
Step-by-step explanation:
(0,3),(3,5) and (0,3),(-6,-2) hit (3,5),(-2,6)
Giving brainless and points. Don’t comment if u don’t know the answer.
Answer:
B and D
Step-by-step explanation:
1/8 = 12.5%
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Answer:
1:no 2:yes 3:no 4:yes 5:no.
Step-by-step explanation:
The first one is not equivlent the second one is equivlent and third one is not equivlent the forth one is equivlent and the fifth one is not equivlent.
Pls help ASAP this is due tmr
Answer: "add by>" ; "65>" ; "go" im pretty sure
Step-by-step explanation:
my brain
Which equation combines with the given equation solution x = 3 and y = 9? X + 2y = 21 A. 4x + 6y = 64 B. 2x + y = 36 C. 4x + y = 21 D. -3x + 4y = 33 E. 3x + 2y = 28
Answer:
C. 4x + y = 21
Step-by-step explanation:
X + 2y = 21
A. 4x + 6y = 64
B. 2x + y = 36
C. 4x + y = 21
D. -3x + 4y = 33
E. 3x + 2y = 28
x = 3
y = 9
X + 2y = 21
3 + 2(9) = 21
3 + 18 = 21
21 = 21
A. 4x + 6y = 64
4(3) + 6(9) = 64
12 + 54 = 64
66 is not = 64
B. 2x + y = 36
2(3) + 9 = 36
6 + 9 = 36
15 is not = 36
C. 4x + y = 21
4(3) + 9 = 21
12 + 9 = 21
21 = 21