1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ololo11 [35]
3 years ago
8

An account grows at an annual interest rate of r⁡​ ⁣, so it grows by a factor of x=1+r⁡​ ⁣⁣ ​⁡ each year. The function A(x)=800x

4 +350x 3 +500x 2 +600x⁣ ​⁡ gives the amount in the account after 4 years when the growth factor is x⁡​ ⁣⁣ ​⁡. What is the total amount in the account if the interest rate for the account is 3% each year? How much money was put into the account at the beginning?
Mathematics
1 answer:
Paladinen [302]3 years ago
3 0

Given:

Annual interest rate = r⁡​%

Growth factor : x = 1 + r⁡​

The below function gives the amount in the account after 4 years when the growth factor is x⁡​ ⁣⁣.

A(x)=800x^4+350x^3+500x^2+600x

To find:

The total amount in the account if the interest rate for the account is 3% each year and initial amount.

Solution:

Rate of interest = 3% = 0.03

Growth factor : x = 1 + ⁡0.03 = 1.03

We have,

A(x)=800x^4+350x^3+500x^2+600x

Substitute x=1.03 in the given function, to find the total amount in the account if the interest rate for the account is 3% each year.

A(1.03)=800(1.03)^4+350(1.03)^3+500(1.03)^2+600(1.03)

A(1.03)=800(1.12550881)+350(1.092727)+500(1.0609
)+618

A(1.03)=900.407048+382.45445+530.45+618

A(1.03)=2431.311498


A(1.03)\approx 2431.31


Therefore, the total amount in the account is 2431.31 if the interest rate for the account is 3% each year.

For initial amount the rate of interest is 0.

Growth factor : x = 1 + ⁡0 = 1

Substitute x=0 in the given function to find the initial amount.

A(1)=800(1)^4+350(1)^3+500(1)^2+600(1)

A(1)=800+350+500+600

A(1)=2250

Therefore, 2250 was put into the account at the beginning.

You might be interested in
On a coordinate plane, a line goes through (0, negative 3) and (2, 2). A point is at (2, negative 3).
Ulleksa [173]

Answer:

5/2,     5/2,     -3= (5/2)(2)+b,     -8,     y=(5/2)x-8

Step-by-step explanation:

6 0
3 years ago
How many times could 6 go into 6
saveliy_v [14]
6 can only go into 6 once
7 0
3 years ago
14 What are the solutions to the equation 3(x − 4)² = 27?
Marat540 [252]

Answer:

(1) 1 and 7

Step-by-step explanation:

Hello!

We can solve by isolating the variable.

<h3>Solve</h3>
  • 3(x - 4)² = 27
  • (x - 4)² = 9
  • √(x - 4)² = √9
  • (x - 4) = ± 3
  • x = 4 ± 3

There are two solutions, 1 and 7.

The answer is option 1: x = 7, x = 1.

4 0
2 years ago
The Pic. Shows it. Please show the steps.<br> Will MARK BRAINLIEST
sashaice [31]

Answer: There is no picture!!??

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A school spent $2,587.50 on agendas for its 1,150 students. what is the unit price per agenda
damaskus [11]

For this you can just use a calculator and divide 2587.5 by 1150.

You should get $2.25 for the unit price. Hope this helped ^-^

7 0
3 years ago
Other questions:
  • I just don't understand how to do number 37.
    12·1 answer
  • Help Please! Given the function f(x) = 5x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3. Part A: Find t
    7·1 answer
  • 1) Two numbers are in the ratio 5: 6. If 8 is added to each of the numbers, they will be in the ratio 7: 8. Find the numbers.
    5·1 answer
  • Find the coordinates of the midpoint of the segment with the given pair of endpoints. J(6, 6); K(2, –4)
    14·1 answer
  • A student is asked to find a polynomial f(x) of degree four with the zeros 2, -3, 0, and -7. What factors would the student mult
    5·1 answer
  • When you shift a function, you are _______ it
    5·2 answers
  • The sides of a triangle are x, x+7, and 2x-8. If the perimeter of the triangle is 47, what is x
    12·1 answer
  • What will be the VAT amount on purchase
    5·1 answer
  • 1. What are the roots of this equation? x2 + 4x + 8 = 0 A. –1 + i B. –4 +1 C. –2 + 21 D. -1 + 4​
    7·1 answer
  • 19 of 22
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!