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
kotegsom [21]
3 years ago
12

A person invests $4000 at 2% interest compounded annually for 4 years and then invests the balance (the $4000 plus the interest

earned) in an account at 8% interest for 7 years. Find the value of the investment after 11 years.
(Hint: You need to break this up into two steps/calculations. Be sure to round your balance at the end of the first 4 years to the nearest penny so you can use it in the second set of calculations.)
Mathematics
1 answer:
faltersainse [42]3 years ago
7 0
\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$4000\\
r=rate\to 2\%\to \frac{2}{100}\to &0.02\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &4
\end{cases}
\\\\\\
A=4000\left(1+\frac{0.02}{1}\right)^{1\cdot 4}\implies A=4000(1.02)^4\implies A\approx 4329.73

then she turns around and grabs those 4329.73 and put them in an account getting 8% APR I assume, so is annual compounding, for 7 years.

\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$4329.73\\
r=rate\to 8\%\to \frac{8}{100}\to &0.08\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &7
\end{cases}
\\\\\\
A=4329.73\left(1+\frac{0.08}{1}\right)^{1\cdot 7}\implies A=4329.73(1.08)^7\\\\\\ A\approx 7420.396

add both amounts, and that's her investment for the 11 years.
You might be interested in
3 pizzas for $24.99_______________ cost of each pizza
Lena [83]

Answer:

$8.33

Step-by-step explanation:

24.99 ÷ 3 = 8.33

3 0
2 years ago
Read 2 more answers
The perimeter of a rectangular field is 296 yards. if the length of the field is 79 yards, what is its width?
Len [333]
Perimeter of rectangle is 2L + 2W
perimeter is 296
length of field is 79

Solve
2L + 2W = 296
2(79) + 2W = 296
158 + 2W = 296
2W = 296 - 158 = 138
W = 138/2 = 69 yards
8 0
3 years ago
Your brother is 13 your age. Your sister is 6 years older than your brother. Your sister is 10 years old. Write and solve an equ
Bogdan [553]
The brother is 4 years old
6 0
3 years ago
Part B: Using the information in Part A, interpret the meaning of the quotient in terms of the two fractions given.​
Vsevolod [243]

Part A: How many 2/3 foot pieces can Wendy cut from the 5 and 1/3 feet of ribbon? Show your work. (5 points)

Part B: Using the information in Part A, interpret the meaning of the quotient in terms of the two fractions given. (5 points)

Essay Submission

Part A: 5 1:3 = 53=15+1=16:3 16:3 / 2:3=16:33:2=48:6 6/48=8(6*8=48)

Part B: Thats How I got my quotient by dividing 48 and 6

I think this if what you are looking for.

hope it helps.

7 0
2 years ago
The product of a number and negative four is negative twenty-eight. What is the number?
Katyanochek1 [597]

Answer:

The number is 7. If you divide -28 by -4 you get 7, 7×-4=-28

6 0
3 years ago
Other questions:
  • Which of the following statements are true based on the diagram?
    9·1 answer
  • Two expressions equivalent to 4n-5
    13·1 answer
  • Lorene's employer pays her $8.50 per hour plus an additional $45 per week. Lorene would like to earn enough money to purchase a
    11·1 answer
  • Which angles are coterminal with −6π5 ? Select each correct answer. 14π/5 −16π/5 −π/5 −11π/5
    6·2 answers
  • a foreman must order enough sod to cover a dirt area 36 feet wide by 28 feet long. each piece of sod is 3 feet long and 12 inche
    7·1 answer
  • The table shows the charges for using an internet service. Nicholas use the internet service for 16 hours and 40 Minutes last mo
    10·1 answer
  • What is the unit rate of 28 miles in 4 hours?
    14·2 answers
  • X-(-5)=-4<br><br> What does x equal
    13·2 answers
  • Help please, I dont know what to put.<br><br> SLOPES!
    14·2 answers
  • Simplify -5-x+4x-4 <br><br> ...............
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!