Sarah took out a $30,000 loan at a 4% interest rate to put a new pool in her backyard. If the interest is compounded quarterly, write a function to model this situation. How much interest will she have paid after 12 years?

Answers

Answer 1

Answer: $48,366.78

Step-by-step explanation:

3000(1+0.04/4) 4t

Answer 2

The function is A = 30,000(1+0.04/4)^(4t) and the compound interest is $18,366.78 if the interest is compounded quarterly.

What is compound interest?

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

Here P = $30,000

r = 4% = 0.04

n = 4

t = 12

The function of this situation:

[tex]\rm A = 30,000(1+\dfrac{0.04}{4})^{4t}[/tex]

Plug t = 12 in the above function.

[tex]\rm A = 30,000(1+\dfrac{0.04}{4})^{4\times12}[/tex]

A = $48,366.78

So compound interest CI = 48,366.78 - $30,000

CI = $18,366.78

Thus, the function is A = 30,000(1+0.04/4)^(4t) and the compound interest is $18,366.78 if the interest is compounded quarterly.

Learn more about the compound interest here:

brainly.com/question/26457073

#SPJ2


Related Questions

twice a number x, minus 17

Answers

Answer:

2x - 7

Step-by-step explanation:

Twice a number x means x times 2, which can be written as 2x

Minus 17 from 2x

Help please 10 points

Answers

Answer:   it's the third one and the first one

Step-by-step explanation:

Find, to the nearest foot, the length of the diagonal of a square whose side is 10 feet.
Draw a square to help solve the problem. (Remember to round answer to the nearest
foot, no decimals)

Answers

the length of the diagonal is 14 feet

please help me with this problem been stuck on it for about 15 mins and getting stressed out ​

Answers

Step-by-step explanation:

[tex]given \: \\ ({a}^{5} )^{5} \\ = {a}^{5 \times 5} \\ = {a}^{25} \\ hope \: it \: will \: help[/tex]

how do you find the x and y intercepts from a table

Answers

The first step is to find the slope which is (y2-y1)/(x2-x1) and you can use any of these points. Next write the equation is point slope form which is y-y1=m(x-x1) using the slope and one of the points. Then you can simplify to write this is slope-intercept form and solve the x and y intercepts as given.

Carlos vendio su carro por unprecio en el cual perdia el 12% de 22000000¿en cuanto lo habia comprado

Answers

carlos vendio su carro por un precio en el cual perdia 12% del precio en que lo compro.si lo vendio a un precio de $22.000.000. en cuanto lo habria comprado

Responder:

$ 24640000

Explicación paso a paso:

Pérdida en venta = 12%

Monto de venta = $ 22,000,000

Dejar ; Importe de la compra = x

Monto de la compra :

(1 + porcentaje de pérdida) * monto de venta

(1 + 12%) * 22.000.000

(1 + 0,12) * 22 000 000

1,12 * 22 000 000

= 24640000

How is the graph of y = - 4x2 – 5 different from the graph of y = -4x2?
A. It is shifted 5 unit(s) down.
C. It is shifted 5 unit(s) up.
B. It is shifted 5 unit(s) left.
D. It is shifted 5 unit(s) right.

Answers

Answer:

C. It is shifted 5 unit(s) up.

Step-by-step explanation:

The y-intercept of the first equation is –5. The y-intercept of the second equation is 0. This means that it moves up by 5 units.

Look at the image below for better understanding:

what is the exact decimal equivalent of 7/16 SHOW YOUR WORK
1.473
0,4375
4.375
4.374

Answers

oh this is pretty simple if u look at it. it’s 0.4375, because the fraction isn’t complete meaning that it is less than 1

Pls i have less time Evaluate the expression for k = –4.

–6 + 21k =

Answers

Answer:

is -90

Step-by-step explanation:

−6+(21)(−4)

=−6+−84

=−90

question 5. need asap please and thank you

Answers

Answer:

I believe changing -3/4 steepen the slope. For example, y=-1x+2

What is the range of the function represented by the graph?

On a coordinate plane, points are at (0, 1), (1, 2), (2, 3), (3, 4).
{0, 1, 2, 3}
{1, 2, 3, 4}
1 less-than-or-equal-to y less-than-or-equal-to 4
0 less-than-or-equal-to x less-than-or-equal-to 3

Answers

Answer:

{1,2,3,4}

Step-by-step explanation:

cant be zero, also got it right on edge 2020

Answer:

{1,2,3,4}

Step-by-step explanation:

7-4[3-(4y-5)]
distributive property

Answers

Answer: =16y−25

Step-by-step explanation:

Distribute:

=7+(−4)(3)+(−4)(−4y)+(−4)(5)

=7+−12+16y+−20

Combine Like Terms:

=7+−12+16y+−20

=(16y)+(7+−12+−20)

=16y+−25

Hope this will help you

❗️HELP ASAP❗️
Which pair of angles is congruent??
F. 21 and 22
G. 21 and 24
H. 24 and 23
I. 24 and 22

Answers

I think the answer is G.

I think this because of the fact families (like my elementary teacher used to say)
It’s like about multiplication of fact families so make it where it would have fact families with those numbers as the sums.
I hope this helps! Be safe out there.

pls help! 16 points:)


Answers

Answer: 52 degrees

Step-by-step explanation:

most likley like if correct

The correct answer is 52 degrees

Analyze the diagram below and complete the instructions that follow name to read lines in the diagram and appear to be SKEw

Answers

Answer:

the answer i think is ba and cb

4. The quadratic function f (x) = (x + 1)2 – 4 is shown on the graph below.

What is the equation for the axis of symmetry?


Answers

Answer:I DO NOT KNOW

Step-by-step explanation:FIND OUT YOURSELF LOL

Raul is flying a kite with an angle of elevation equal to 60° if the height of the kite is 300 feet then now long is the kite string.

Answers

Answer:

ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd

Step-by-step explanation:

its d

Which of the following are equivalent to 80 1/2

Answers

Answer:

Sorry but what are the answer choices?

If anything just divide or multiply 80 1/2 by any number and it will give you something equivilent

Step-by-step explanation:

2√20 is the equivalent expression of the value  [tex]80^\frac{1}{2}[/tex].

What is Number system?

A number system is defined as a system of writing to express numbers.

The given expression is [tex]80^\frac{1}{2}[/tex]

We have to find the equivalent expression of  [tex]80^\frac{1}{2}[/tex]

[tex]80^\frac{1}{2}[/tex] can be written in radical form which is √80

80 can be written as 4 times of 20

√4×20

The square root of 4 is 2

So 2√20

Hence, 2√20 is the equivalent expression of the value  [tex]80^\frac{1}{2}[/tex].

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ2

− 8/7 +(−1/2) reduced to simplest form

Answers

Answer:

simplified would be -23/14 if you wanted to answer this it would be either -1 9/14 or -1.64

Step-by-step explanation:

James has 13.7 ounces of trail mix. He shares the trail mix equally with his sister.

How much trail mix does each person get?

Answers

Answer:

6.85 ounces

Step-by-step explanation:

13.7/2people=6.85

please help.. this is so difficult..

The Martinez family ate at a restaurant.

The cost of the meal was $34.50.
The sales tax was 6% of the cost of the meal.
They left a tip of 15% of the cost of the meal plus tax.
What was the total cost of the meal, tax, and tip?

Answers

Answer:

$42.06

Step-by-step explanation:

step 1: find the 6% of 34.50; by multiplying 34.50 x 0.06 ( 0.06 = 6/100 or 6%).

34.50 x 0.06 = 2.07

Step 2: 2.07 + 34.50 = 36.57 -----Total cost of meal + 6% tax.

Step 3: find 15% of 36.57

36.57 x 0.15 = 5.4855

Step 4: 36.57 + 5.49 (rounded because money only has two decimal places)

Answer:

$42.06

(BRAINLIESTTTTT PLS ANSWERRRR DUE IN 5 MINS!!!!) Michelle and Cameron are selling popcorn for a school fundraiser. Michelle sold 10tins of cheese popcorn and 8tins of caramel popcorn for a total of $446. Cameron sold 22tinsof cheese popcorn and 11tins of caramel popcorn for a total of $803. Write a system of equations to determine the cost one tin of cheese popcorn and one tin of caramel popcorn. Show all your work.

Answers

one tin of cheese 20$ and one tin of Carmel 27$


A flagpole that is 32 feet tall casts a 67-foot shadow. What is the angle, marked with an x on the diagram, that the sun hits the flagpole? Round to the nearest degree, and enter the number only.

Answers

Answer:

64

Step-by-step explanation:

I just need to make sure my answer is correct :)

Answers

Answer:

Its positive

Step-by-step explanation:

3x - 5 = -3

3x = 2

x = 2/3

2/3 is positive

What are the coordinates of the point in the directed line segment from (-2,-8) to (5,-1) that partitions the segment into the ratio of 1 to 6?

Answers

Answer:

The coordinates of the point P  in the directed line segment from (-2,-8) to (5,-1) that partitions the segment into the ratio of 1 to 6 will be:

(x, y) = (-1, -7)

Step-by-step explanation:

Let P be the point.

As the point P is in the directed line segment from (-2,-8) to (5,-1) into the ratio of 1 to 6

i.e.

(x₁, y₁) = (-2,-8)

(x₂, y₂) = (5,-1)

Rise = y₂ - y₁ = -1 - (-8) = -1 + 8 = 7

Run = x₂ - x₁ = 5 - (-2) = 5 + 2 = 7

1 : 6 ratio means the point P lies at

[tex]\frac{1}{6+1}=\frac{1}{7}=14\%[/tex]

Thus,

rise for P = 7 × 14% = 1

run for P =  7 × 14% = 1

Thus, coordinates of P will be:

x = -2 + 1 = -1

y = -8 + 1 = -7

Thus,

The coordinates of the point P  in the directed line segment from (-2,-8) to (5,-1) that partitions the segment into the ratio of 1 to 6 will be:

(x, y) = (-1, -7)

Which of the following could be the equation of the graph shown below?
Check all that apply.
A. y = -4x+ 2
B. 3x + 2y = 6
c. 2x - y = 7
OD y = 5

Answers

Answer:

A. y = -4x + 2  and  B. 2x + 2y = 6      

Step-by-step explanation:

A. y = -4x + 2        This is correct since the displayed picture shows a negative slope. Therefore, m is negative

B. 2x + 2y = 6       This is converted to     y = -x +3   So, it is also correct

C.  2x - y = 7           This is converted to y = 2x-7      So, it is not correct

D. y = 5                   Y value would have to always be at 5  So, it is not correct

2. Noah said, "I think this line is a good fit because it passes through the leftmost point and the rightmost point." Do
you agree?

Answers

Answer:

No I do not because I think the dots on each side are not equally split so it’s not a good fit

Step-by-step explanation:

Compare -4 and -9

Greater than or less than

Answers

-4 > -9

-4 is closer to 0 than -9
it is further right on the number line
-4 would be greater because -9 is more away from 0 and -4 is closer

Apply the algorithm for dividing fractions. of 3/4 divided 1/5

Answers

Answer:

15/4

Step-by-step explanation:

Keep,Change, Flip

Answer:

15/4

Step-by-step explanation:

(3/4) / (1/5) = 3/4 * 5/1 = 3*5 / 4*1 = 15 / 4


Sarah has $25 to spend at the grocery store. She spends $18.77. How
much money does Sarah have left?

Answers

Sarah will have $6.23 left. This is so because 25 - 18.77 = 6.23. Hope this helps.

Answer:

x=$75

Step-by-step explanation:

Other Questions
HELP PLS ASAP-5 = 5/12a pls evaluate Please help me please! What was Germany's reaction to the Treaty of Paris (explain two reactions that led to WWII) What is the distance between the two points? Usethe distance formula:d= V(x2 1)? + (y2 y)? be on your best behavior is it declarative or interrogative sentence What is the formula you would use to find the area of a triangle? Explain how that formula is related to the area formula for a rectangle. Compare democratic and authoritarian systems. (BRAINLIEST) simplify 4x-7y-5n+6 . As you develop your personal marketing plan and career strategy, it is important that you look at ways to match your strengths with careers that will be rewarding financially and personally. Four common jobs that new marketing graduates begin their career in are pricing analyst, fleet manager, salesperson, and event coordinator. Each of these provides an opportunity for a great job and career in marketing. In addition, each requires specific skills that, if developed, will help make graduates in each of these roles successful. Match the specific skills to the job where they are most important. As you do so, think about how your talents and abilities might make you a perfect candidate for one or more of these jobs. Watch the video and answer CIERTO or FALSOAngelica: no me gusta montar en bicicleta Raul: Me gusta mucho leer revistasEsteban: Me gusta patinarClaudia: Me gusta pasar tiempo con mis amigosTeresa: No me gusta usar la computadora FALSOGloria: Me gusta trabajar The amount of runoff in an area depends on all of the following exceptamount of rainthe vegetationwind dropping sedimenttype of soil Write the equation, in point-slope form, that contains the point (3, -6) with a slope of 2. what would you name your band? Complete the sentences based on your understanding of the video. Daniel tiene las clases de ______ y ______. Gabriela necesita ______ y ______. La mam de Sebastin necesita ______ con el profesor de ciencias. Sebastin tiene el primer almuerzo. Es a las ______. Al pap de los chicos le gusta ______ la msica de Colombia. Quin hace los almuerzos de los chicos, la mam o el pap? Quin hace la tarea con Gabriela y Daniel, la mam, el pap o Sebastin? How do I do problems like this???? Why did Texas agree to the Compromise of 1850, which required it to sell land to the United States? A. It feared the US would revoke its statehood.B. It considered the land undesirable for settlements.C. It believed the US would claim it without payment.D. It needed money to pay its debts. convert 135 degrees into radians In the 1860's the Central Pacific Railroad company employed the chemist James Howden to make an explosive capable of blasting through the granite mountains of the Sierras. The railroad needed tunnels for their train to pass through. James Howden built a nitroglycerin producing lab on Donner Pass where he would make the explosive compound on command. Nitroglycerin has the chemical formula C3H5N3O9. When it is detonated, it decomposes into carbon dioxide, water, oxygen and nitrogen. What is the theoretical yield for moles of nitrogen gas produced upon detonation of 1.320 tons of nitroglycerin? There are 907185 grams in 1 ton and nitroglycerin has a molar mass of 227 g/mol. Do not include decimals in your answer. 2. Firm A has a 15 percent marginal tax rate and Firm Z has a 35 percent marginal tax rate. Firm A owns a controlling interest in Firm Z. The owners of Firm A decide to incur a $40,000 deductible expense that will benefit both firms. Compute the after-tax cost of the expense assuming that: a) Firm A incurs the expense. A skateboarder rides by my office every 8 minutes, and a cyclist rides by every 10 minutes. How long will it take for the skateboarder and cyclist to ride by at the same time?