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
vladimir2022 [97]
3 years ago
8

$20000 is invested in an account that earned 6% p.A. Compounding yearly for 3 years. The interest rate then went up to 8% p.A. F

or the next 4 years. After this period the amount of money in the account would be?
Mathematics
1 answer:
GuDViN [60]3 years ago
4 0

\bf ~~~~~~ \textit{Compound Interest Earned Amount \underline{for the first 3 years}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$20000\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per annum, thus once} \end{array}\dotfill &1\\ t=years\dotfill &3 \end{cases}

\bf A=20000\left(1+\frac{0.06}{1}\right)^{1\cdot 3}\implies A=20000(1.06)^3\implies \boxed{A=2382.032} \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~ \textit{Compound Interest Earned Amount \underline{for the next 4 years}}

\bf A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2382.032\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per annum, thus once} \end{array}\dotfill &1\\ t=years\dotfill &4 \end{cases}

\bf A=2382.032\left(1+\frac{0.08}{1}\right)^{1\cdot 4}\implies A=2382.032(1.08)^4\implies \boxed{A\approx 3240.73} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{amount for this period}}{2382.032+3240.73}\implies 5622.762

You might be interested in
A certain university recently calculated the number of days that its students took to complete their master's degrees. It took 1
mixer [17]

Answer:

c) 700

Step-by-step explanation:

Add 800 and 600, and then divide by the number of number, or in this case, two. This should give you 700.

8 0
2 years ago
The sum of three consecutive even integers is 102. Find the largest of the three integers.
marissa [1.9K]

Answer to the question is..

32,34,36

largest is 36

7 0
3 years ago
Mary Beth would like to buy a more fuel-efficient vehicle instead of driving her mom's gas-guzzler. Assuming she can find a car
ozzi

Answer:

2x as much

Step-by-step explanation:

First write as an equation:

<u>3000/32*3.75 =</u>

3000/16*3.75

Then that equals:

0.5

So that means her mom's car would be half as efficent as the new one

8 0
3 years ago
BRAINLIEST!!!!! HELPPP ME YALLLL
Elden [556K]

Answer:

No solution

Step-by-step explanation:

Hope this helped

3 0
2 years ago
Which of the following are mathematical sentences? Check all that apply.
Paraphin [41]
A, C, E

any mathematical expression that then includes an equal sign becomes a sentence or equation
5 0
3 years ago
Read 2 more answers
Other questions:
  • What is the vertex of the graph of the function below y=x^2-8x+12
    9·2 answers
  • How do I find the area ?
    15·1 answer
  • In matrix theory, many of the familiar properties of the real number system are not valid. If a and b are real numbers, then ab
    11·1 answer
  • There are 16 books on a shelf. 7 of these books are new. (a) What is the ratio of new books to used books? (b) What is the ratio
    12·2 answers
  • What is the rational number between 1/16 and 1/12?
    11·1 answer
  • (Please look at the NUMBERS below the picture)
    7·1 answer
  • What is the inequality represented by this graph? (pls help its worth 30 points and ill give brainliest if ur correct :D)
    6·1 answer
  • The first term of an arithmetic progression is 80 and the common difference is -3. what is the greatest possible sum of the firs
    8·1 answer
  • La suma de tres números enteros consecutivos es 156 halla los números
    8·1 answer
  • Explain how soil is a system by yourself dont use internet<br> brainliest if u have self explanation
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!