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
Troyanec [42]
4 years ago
10

3200 dollars is placed in an account with an annual interest rate of 8.25%. To the nearest tenth of a year, how long will it tak

e for the account value to reach 9600 dollars?
Mathematics
1 answer:
frozen [14]4 years ago
6 0

It takes 24 years for the account value to reach the $9600.

<u>Step-by-step explanation:</u>

<u>From the given data, it can be determined that :</u>

  • Amount = $9600
  • Principal = $3200
  • Rate = 8.25% = 0.0825

Number of years should be calculated.

<u>To find the interest :</u>

Amount = Principal + Interest

Therefore, the interest can be calculated by the formula,

Interest = Amount - Principal

⇒ 9600 - 3200

⇒ 6400

The interest needed is 6400.

<u>To find the number of years required to reach this interest :</u>

Use the formula for simple interest,

Simple interest = Pnr /100

where,

  • P is the principal
  • n is the number of years
  • r is the rate

Substitute all the given values in the simple interest formula,

Simple interest = 3200 × n × 0.0825

6400 = 264 n

n = 6400 / 264

n = 24.2 which is approximately 24 years.

Therefore, it takes 24 years for the account value of 3200 dollars to reach 9600 dollars.

You might be interested in
A company invests $10,000 in a mutual fund account that earns a fixed
olga55 [171]

Answer:

a(t)=10000+1.08t

Step-by-step explanation:

t

1

2

3

Alt)

10,800.00

11,664.00

12,597.12

5 0
3 years ago
A researcher collects data on the relationship between the amount of daily exercise an individual gets and the percent body fat
fredd [130]

Answer: approximately 24

Step-by-step explanation:

We need to plot a regression line.

So we fit a model using the regression of Y on X, that an equation that predict Y for a given X using:

(Y -mean(Y ))= a(X-meanX)...........1

Where the formular of a is given the attachment.

N= the of individuals = 5

Y = amount of fat

X = time of exercise

mean(X )= sum of all X /N

= 131/5 = 26.2

mean(Y) = sum of all Y/N

= 104/5 = 20.8

a = N(SXY) - (SX)(SY)/ NS(X²) -(SX)²......2

SXY = Sum of Product X and Y

SX= sum of all X

SY = Sum of all Y

S(X²)= sum of all X²

(SX) = square of sum of X

a = -0.478

Hence we substitute into 1

Y-20.8 = -0.478 (X-26.2)

Y -20.8 = -0.478X - 12.524

Y = -0.478X + 33.324 or

Y = 33.324 - 0.478X (model)

When X = 20

Y = 33.324 - 0.478 × 20

Y = 33.324 - 9.56

Y = 23. 764

Y =24(approximately)

Carefully meaning of formula used in attachment to the solution they are the same.

4 0
3 years ago
Which of the following is in Integrity but not a whole number A -9.6 B -4 ​
abruzzese [7]

Answer:

B. -4.

Step-by-step explanation:

3 0
3 years ago
Sam said the square root of a rational number must be a rational number. Jenna disagreed. She said that it is possible that the
ratelena [41]

Jenna is correct because the square root of a rational number can still be irrational.

Take for example the square root of 2. It is an irrational number than goes 1.41421...

If you multiply just the first however many digits of the result by itself, you will never end up with a perfect 2, because the square root is irrational.

4 0
3 years ago
What is the sum of all integers between 19 and 77 squared rooted?
Alex Ar [27]
4<√19<5 
8<√77<9
so the quality numbers are 5,6,7,and 8
5+6+7+8=26 
so the answer is 26
4 0
3 years ago
Other questions:
  • ASAPJasper works as an inspector at a factory that makes polo shirts. He has found that the theoretical probability of a shirt t
    10·1 answer
  • How to find the volume of a rectangular prism
    15·2 answers
  • How long is line UW?
    12·1 answer
  • Jacob brought 6 3/4 carrot cakes to share with the 26 students in his class did Jacob bring enough for each students to have 1/4
    8·1 answer
  • What is the constant in the expression?
    14·2 answers
  • Please help I'll give 40 points
    12·1 answer
  • Find the equation of the linear function represented by the table below in slope-
    5·2 answers
  • Help plz I need it it’s hard
    11·1 answer
  • A professional basketball team won 48 games and lost 32. what fraction of the games did the team win?
    8·2 answers
  • Find each sum or difference. (W^2 - 4w-1)+(-5+5w^2 - 3w)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!