PROBLEM SOLVING You deposit $300 into an investment account that earns 12% annual interest compounded quarterly. The graph shows the balance of a savings account over time. Write the functions that represent the balances of the accounts after t years. Round the growth factor to the nearest hundredth, if necessary.
Answers
Answer:
=25
Step-by-step explanation
:[tex]\sqrt{x}[/tex] 300 with 12 and you simply get 25
The function that represents the balance after t years is FV = $300( 4)^4t. The balance of the account after four years is; $914.92.
What is the function that represents the balance after t years?The formula for calculating future value:
FV = P (1 + r)^nm
Where: FV = Future value
P = Present value
R = interest rate = 12%/4 = 3%
m = number of compounding = 4
N = number of years
Thus FV = $300( 1+ 3)^4t
FV = $300( 4)^4t
Then the account balance after 4 years;
$300( 4)^(4 x 4)
= $914.92
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Related Questions
Please help :( On the coordinate grid shown below, pentagon J is similar to pentagon K.
Which sequence of transformations could be applied to pentagon J to create pentagon K?
A. a rotation 90° counterclockwise about the origin, then a translation 3 units up and 7 units right
B. a reflection across the x-axis, then a translation 2 units up and 8 units right
C. a rotation 90° clockwise about the origin, then a translation 1 unit down and 5 units right
D. a reflection across the y-axis, then a translation 4 units right
Answers
Answer:
A. a rotation 90° counterclockwise about the origin, then a translation 3 units up and 7 units right
The sequence of transformation is "a rotation 90° counterclockwise about the origin, then a translation 3 units up and 7 units right" option (A) is correct.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
The missing figure is attached to the picture, please refer to the picture.
From the figure we can see the transformation applied on the pentagon is a 90° counterclockwise rotation around the origin, followed by a translation of Three units up and seven right
Thus, the sequence of transformation is "a rotation 90° counterclockwise about the origin, then a translation 3 units up and 7 units right" option (A) is correct.
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If I drove 15 1/2 miles in 2/5 hours, what is my average speed in miles per hour?
Answers
Answer:
(15 1/2 ) divided by 2/5= 38 3/4 miles per hour
PLEASE HELP
I NEED THIS NOW
Answers
Answer:
the 3rd one and the last one
Step-by-step explanation:
functions can't have the same y coordinate.
Evaluate the expression for f=-10 9f+39
Answers
Answer:
The answer is 129.
Step-by-step explanation:
If f = 10, we would have to multiply 9 x 10, which is 90.
Add that to 39, and you will get 129.
Hope you can understand this
Answer:
-51
Step-by-step explanation:
In addition to writing new facts for February 29, the twins also need to add another image in the middle of their flip-book animation. The animation sequence is of Dorothy's house from the Wizard of Oz as it is being carried over the rainbow by a tornado. The house in the February 28 drawing has been rotated to create the house in the March 1 drawing. Carlos believes that he can get from the February 28 drawing to the March 1 drawing by reflecting the February 28 drawing, and then reflecting it again.
A. What convinces you that the February 29 image is a reflection of the February 28 image about the given line of reflection?
B. What convinces you that the March 1 image is a reflection of the February 29 image about the given line of reflection?
C. What convinces you that the two reflections together complete a rotation between the February 28 and March 1 images?
Answers
Answer:
Its C. What convinces you that the two reflections together complete a rotation between the February 28 and March 1 images?
Step-by-step explanation:
In addition to writing new facts for February 29, you gotta do what you learned and add the houses
Selina and three of her classmates each wrote out the steps for finding an approximate percent change. They all agreed on the first and fourth step:
1. Find the positive difference between the original number and the new number.
2. ________________________
3. ________________________
4. Round the answer if necessary.
They did not agree on steps 2 and 3. Which instructions are correct for steps 2 and 3?
2. Divide the difference by the original number.
3. Multiply the quotient by 100 to change it from a decimal to a percent.
2. Divide the difference by the new number.
3. Multiply the quotient by 100 to change it from a decimal to a percent.
2. Divide the difference by the original number.
3. Multiply the quotient by 10 to change it from a decimal to a percent.
2. Divide the difference by the new number.
3. Multiply the quotient by 10 to change it from a decimal to a percent.
Answers
Answer:
2. Divide the difference by the original number.3. Multiply it by 100.
Hope this helps :)
For each fraction, decimal, or percent, write the equivalent number from the list below. 0.68, 19/50, 9/20, 80%, 0.54. A. 38% _____ B. 4/5 ______ C. 17/25_______. D. 27/50_______. E. 0.45_______
Answers
Answer:
A. 38% - 19/50
B. 4/5 - 80%
C. 17/25 - 0.68
D. 27/50 - 0.54
E. 0.45 - 45% or 9/20
Step-by-step explanation:
A. 19/50 - 38/100 - 38%
B. 4/5 - (times by 20 (the numerators and denominators)) - 80/100 - 80%
C. 17/25 - (times by 4 (the numerators and denominators)) - 0.68
D. 27/50 - 54/100 - 0.54
E. 0.45 - 45/100 - 9/20 - 45%
A cylinder has a radius of 17 millimeters. Its volume is 13,611.9 cubic millimeters. What is
the height of the cylinder?
Use 3.14 and round your answer to the nearest hundredth
millimeters
Answers
Answer:H=15.00mm
Step-by-step explanation:
At the end of a 5-year term, what is the balance of an $8,000 investment at a simple interest rate of 1. 8 percent?
Round to the nearest dollar.
$8,000
$8,720
$8,751
$9,382
PLEASE HELP ASAP!!!!!!!!!!!!!!! QUESTION 47 CONCUMER MATH
Answers
Answer:
$8,720
Step-by-step explanation:
SI = PRT where;
SI = simple interest
P = principal amount/starting amount
R = rate as a decimal/fraction
T = time in years
I = 8000 . 5 . 0.018
I = 720
8000 + 720 = 8720
7.5 miles in 1/4 hour
Answers
Answer: name? must ride 7.5 miles in 1/4 hour to achieve this target speed so gender? needs to ride an addititonal 9.8 mile per1/4 hour
Step-by-step explanation: yeah you welcome
If I have 18 employees and I want to give each employee half a cupcake how many cupcakes do I need
Answers
please helppp
Prove that:
Answers
i think the answer is 12
Step-by-step explanation:
A quadratic function y=f(x) is plotted on a graph and the vertex of the resulting parabola is (-6, 4). What is the vertex of the function defined as g(x)=f(x-2)-2
Answers
[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{vertex}{\stackrel{h}{-6}~~,~~\stackrel{k}{4}}\qquad \implies f(x)=a[x-(-6)]^2+4\implies \underline{f(x)=a(x+6)^2+4} \\\\[-0.35em] ~\dotfill[/tex]
[tex]f(x-2)=a[(x-2)+6]^2+4\implies \underline{f(x-2)=a(x+4)^2+4} \\\\\\ f(x-2)-2\implies [a(x+4)^2+4]-2\implies \underline{a(x+4)^2+2=g(x)} \\\\\\ a[x-(\stackrel{h}{-4})]^2\stackrel{k}{+2}=g(x)\qquad \stackrel{vertex}{-4~~,~~2}[/tex]
Dilate the figure with the origin as the center of dilation.
(x,y) → (1.5x, 1.5y)
Answers
Step-by-step explanation:
try this option; for more info see the attachment. New figure is painted with red colour (triangle A'B'C').
Question is in the picture:
Answers
Answer:
the answer is 224 that's my answer
Answer:
48
Step-by-step explanation:
es el porcentaje de 200 en la calculadora seria 24 x 200/100
The ratio of plain bagels to garlic bagels is 2:3. The ratio of poppy seed bagels to plain bagels is 5:2. What is the ratio of garlic bagels to poppy seed bagels?
Answers
Katrina works as an agent for "Let's Go Air". She averages fifteen passengers every twenty minutes. Stefon also works for the airline and averages fifteen passengers every twenty-five minutes. If Kathrina and Stefon work together, about how many minutes will it take to process fifteen passengers?
Answers
The equation computed shows that the number of minutes that it will take to process fifteen passengers is 11.11 minutes.
How to solve the equationSince Katrina averages fifteen passengers every twenty minutes and Stefon also works for the airline and averages fifteen passengers every twenty-five minutes, this can be represented this:
1/x = 1/20 + 1/25
1/x = 9/100
9x = 100
Divide through by 9
x = 100/9
x = 11.11 minutes
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Slope- intercept form: y= -4/3x + 2
what is the standard form?
Answers
Answer:
4x+3y=6
Step-by-step explanation:
hope this helps
help.. Each patron pays an annual fee of $36 to the library. If the library collects $20,304 from the annual fee, how many patrons are there?
Answers
Answer: 564 patrons. also omg chiaki pfp so based
The y-intercept of g(x)=3/5f(5x) is 15.
Which of the following is the y-intercept of f(x) ?
A/ 3
B/9
C/25
D/75
Answers
Answer:
C) 25
Step-by-step explanation:
A function is scaled vertically by multiplying every function value by the scale factor. For some scale factor k, the function g(x) = k·f(x) is a vertically scaled version of the function f(x).
Here, we are given ...
g(x) = 3/5·f(x)
This means the y-intercept is also scaled:
g(0) = 3/5·f(0)
f(0) = 5/3·g(0) . . . . . multiply by 5/3
f(0) = 5/3·15 = 25
The y-intercept of f(x) is 25.
What is the domain and limit(s) of f(x)=1/x+3?
Answers
The graph below describes the journey of a train between two cities.
a) Work out the
acceleration, in km/h?,
in the first 15 mins.
b) Work out the distance
between the two cities. $60
Velocity (in km/h)
c) Work out the average
speed of the train during 20
the journey.
Answers
Answer:
[A] Acceleration in first 15 min = 200 km/h²
[B] Distance between two cities = 125 km
[C] Average Speed of journey = 62.5 km/hr
Step-by-step explanation:
To Solve:
Acceleration in first 15 min
Distance between two cities
Average speed of journey
Solve:
[A] Work out the acceleration, in km/h?, in the first 15 mins.
Each horizontal block is 1/8 hr = 7.5 min
Each vertical block is 10 km/hr
Time Velocity km/hr
0 Min ( 0 hr) 0
15 Min (1/4 hr) 50
45 Min (3/4 hr) 50
60 MIn ( 1 hr) 100
90 Min ( 3/2 hr) 100
120 Min ( 2hr) 0
Acceleration in first 15 min (1/4 hr) = (50 - 0)/(1/4 - 0) = 50/(1/4)
= 200 km/h²
Hence, Answer for [A] = 200 km/h²
[B] Work out the distance between the two cities. $60 Velocity (in km/h)
= (1/2)(0 + 50)(1/4 - 0) + 50 * (3/4 - 1/4) + (1/2)(50 + 100)(1 - 3/4) + 100 * (3/2 - 1) + (1/2)(100 + 0)(2 - 3/2)
= 25/4 + 25 + 75/4 + 50 + 25
= 125
Distance between two cities = 125 km
[C] Work out the average speed of the train during 20 the journey.
Average Speed of journey = 125/2 = 62.5 km/hr
[RevyBreeze]
pls help I just want to enjoy spring break plsssss
Answers
Answer:
homedogxD: 74 + x + 62 + 55 = 180. So x = -11
Step-by-step explanation:
This is from homedogxD but no one put it as an answer so..................
b. Find the co-ordinates of the mid-point of the line joining the points A(4,-6) and B(-2,4)
Answers
Answer:
(2, 4)
Step-by-step explanation:
correct me if im wrong if i am im sorry
Write a vocabulary term for this analogy.
A double bar graph is related to a bar graph in the same way as a(n) ___?___ is related to a box plot
Answers
whats 506 divided by 6
Answers
Answer:
84.33333333
or rounded...
84.3
or 84 if asked to be rounded to whole
Can u pls help me with this question
Answers
Answer:
[tex]-k^2+7k[/tex]
Step-by-step explanation:
Using the given equations, we must find [tex]C-B[/tex]
Start by substituting the given values into the expression:
[tex]C-B\\k-3-(k^2-6k-3)[/tex]
Now, take the terms out of the parentheses.
[tex]k-3-(k^2)-(-6k)-(-3)\\k-3-k^2+6k+3[/tex]
Please note that two negatives make a positive
[tex]k-3-k^2+6k+3[/tex]
Combine like terms:
[tex]-k^2+7k[/tex]
The cubic polynomial f(x) is such that the coefficient of x^3 is 2 and the roots of the equation f(x)=0 are -1, 3 and c. It is given that f(x) has a remainder of 8 when divided by x - 1. Find the value of c.
Answers
Answer:
1 add on both sides
subtract
2
4
4
What is the equation of the line that passes through the point (4,6) and has a
slope of 0
Answers
Solution:
We know that:
(x,y) = (4,6) ⇒ x = 4, y = 6Slope = 0Since we know the coordinates and the slope of the line, we can use point slope form to find the equation.
y - y₁ = m(x - x₁)⇒ y - 6 = 0(x - 4)⇒ y - 6 = 0⇒ y = 0 + 6⇒ y = 6Thus, the equation of the line is y = 6.
Answer/Step-by-step explanation:
Given us that;
Passes through the point (4,6)
slope of 0
Note;
The equation of a line has the form:
y - y₁ = m(x - x₁)
Solve;
Now we plug in the coordinates of the given point the line goes through, and solve:
y - 6 = 0(x - 4)
y - 6 = 0
y = 0 + 6
y = 6
Hence, equation of the line is y = 6
[RevyBreeze]
There a 10 apples 5 green ones and 2 red ones how many are golden. 20 points
Answers
Answer:
The answer is 3
Step-by-step explanation:
If there is 10 in total
. if there are 5 green apples
. and 2 red apples
there would be 3 golden apples
Problem:. 5 + 2 = 7
. 10 - 7 = 3
golden = 3
May i get brainliest
Answer:
There's 3 gold apples
Step-by-step explanation:
Pls, choose me as brainliest!