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
Alex73 [517]
3 years ago
6

Shawna invests $5,048 in a savings account with a fixed annual interest rate of 4% compounded 12 times per year. How long will i

t take for the account balance to reach $6,163.59?
Mathematics
1 answer:
Elena-2011 [213]3 years ago
3 0

Answer:

5 years

Step-by-step explanation:

In the question we are given;

  • Amount invested or principal amount as $5048
  • Rate of interest as 4% compounded 12 times per year
  • Amount accrued as $6,163.59

We are required to determine the time taken for the money invested to accrue to the given amount;

Using compound interest formula;

A=P(1+\frac{r}{100})^n

where n is the interest period and r is the rate of interest, in this case, 4/12%(0.33%)

Therefore;

6,163.59=5,048(1+\frac{0.333}{100})^n

1.221=(1+\frac{0.333}{100})^n

1.221=(1.0033)^n

introducing logarithms on both sides;

log1.221=log(1.0033)^n\\n=\frac{log1.221}{log1.0033} \\n=60.61

But, 1 year = 12 interest periods

Therefore;

Number of years = 60.61 ÷ 12

                            = 5.0508

                            = 5 years

Therefore, it will take 5 years for the invested amount to accrue to $6163.59

You might be interested in
Which is a factor of 21 <br> a6 <br> b5 <br> c4 <br> d3
aev [14]
3 because 7*3=21,...........
6 0
3 years ago
Read 2 more answers
Help? i really don’t understand :(((
horsena [70]

Answer:

whats the question

Step-by-step explanation:

6 0
3 years ago
B) Solve<br> (i)<br> 9x = 36
Vaselesa [24]

Answer:

4

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Find the area of a rectangle that has a length of (x - 5) and a width of (3x + 1).
avanturin [10]

Answer:

A=3x^2 -14x -5

Step-by-step explanation:

(x-5)(3x+1)

3x^2 +x -15x -5

3x^2 -14x -5

5 0
3 years ago
Solve for n. 15 = 0.5n
murzikaleks [220]

15 = 0.5n


15/0.5 = n


15/0.5 = 30


n = 30.

6 0
3 years ago
Other questions:
  • Which expression correctly describes the word praise "4 less than x" ?
    7·1 answer
  • <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3x%7D%7Bx%20%7B%7D%5E%7B2%7D%20-%203x%20-%2010%20%7D%20%20-%20%20%5Cfrac%7B6x%7D%
    15·1 answer
  • The area of a rectangle is 120cm and its length is 12cm .Calculate the width of the rectangle
    11·2 answers
  • Rewrite the slope-intercept form equation into standard form. y = –2x + 4 A. x + 2y = 4 B. 2x + y = 4 C. 4x + y = 2 D. 4x + 2y =
    12·2 answers
  • Lauren is tutoring students at the library on Saturday. If she is at the library for a total of 6 hours and she helps each 3 stu
    15·1 answer
  • the fastest elevators in the burn khalifa can travel 330 ft in just 10 seconds how far just elevator travel in one second​
    7·2 answers
  • Which graph shows the solution to the inequality -3x-7 ​
    13·1 answer
  • Please anyone solve this for me..No spam.​
    12·1 answer
  • Solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations.
    15·1 answer
  • How could you represent 0.614 using only 5 tenths
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!