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
8090 [49]
3 years ago
15

Ted invests $1077 in a savings account with a fixed annual interest rate of 9% compounded three times per year. What will be the

account balance after ten years? Please HELP! Im timed on it!
Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
3 0

Answer: $2,614.16

Step-by-step explanation:

Initially, he has $1077.

We know that this has a fixed annual interest rate of 9% compounded three times per year.

(remember that 9% is 0.09 in decimal form)

Then in one year, this interest is compounded in 3 times.

So we actually apply 0.09/3 3 times.

So if in year zero, Ted has $1077.

after 1 year, Ted will have:

M = $1077*(1 + 0.09/3)^3

Where the power of 3 is because this interest rate is applied 3 times.

Now, after another year Ted will have:

M = $1077*(1 + 0.09/3)^3*(1 + 0.09/3)^3 = $1077*(1 + 0.09/3)^(2*3)

We already can see the pattern here, after N years,

M(N) = $1077*(1 + 0.09/3)^(3*N)

The account balance after 10 years can be computed by evaluating the above equation in N = 10.

M(10) = $1077*(1 + 0.09/3)^(3*10) = $2,614.16

You might be interested in
Find the volume.!!.!
zhuklara [117]

Answer:

The image is blurry for me

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
The function g(x) = –|x| is a transformation of the absolute value parent function. Which graph shows g(x)? Apex​
Ymorist [56]

Answer:

A

Step-by-step explanation:

Apex

7 0
3 years ago
PLEASE HELP ASAP!!!!!!
sammy [17]

Answer:

g(x)=f(x+3)+5

Step-by-step explanation:

8 0
3 years ago
If the density of a full can is 1.1g/cc what is it’s mass?
podryga [215]
Density  = mass / volume
volume of 1 can =  12 * 40  = 480 cm^3
 1.1 = mass / 480

mass = 528 grams Answer
6 0
3 years ago
What is the value of the number in the thousandths place 7.819
kvasek [131]
9 is in the thousandths place
5 0
2 years ago
Read 2 more answers
Other questions:
  • I need the answer ASAP
    11·1 answer
  • Julia finds that she can mail a 10 pound package for $5.10 and a 15 pound package for $8.85.What is the constanrt of proportiona
    5·1 answer
  • Vivian solved an equation. she showed all her steps and got the correct answer. what kind of reasoning did vivian use to solve t
    12·1 answer
  • VERY URGENT HAVE A TEST TO TAKE
    5·1 answer
  • Exponential functions grow by equal factors over equal intervals. If a column of Δy was added to prove this relationship, what w
    6·2 answers
  • Hey, can someone solve this for me? <br><br> 5(x+1)= 4(x-1)+x
    10·1 answer
  • What is the axis of symmetry of -2x^2+12x-3
    11·1 answer
  • Please help me with this question.<br> How can proportional reasoning help solve a problem?
    11·1 answer
  • A pair of shorts are £15 in a 40%. What was the non-sale price
    10·1 answer
  • If ab = 5 and a² + b² = 25, then (a + b)2 =?​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!