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
Helga [31]
1 year ago
15

Altred is saving up money for a down payment on a house. He currently has $4739, but knows he can get a loan at a lower interest

rate if he can put down $5336. If heinvests the $4739 in an account that earns 5.1 % annually, compounded monthly, how long will it take Alfred to accumulate the $5336? Round your answer to two decimal places, if necessary.
Mathematics
1 answer:
Stella [2.4K]1 year ago
5 0

Given the word problem, we can deduce the following information:

Principal amount = $4739

Future amount = $5336

Interest = 5.1 % =0.051

To determine the time to accumulate the $5336, we use the compound interest formula:

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

A=Future amount=$5336

P=Present amount=$4739

r=interest rate = 0.051

n=number of compounding periods =12

t=time in years

We also note that the number of compounding periods must be 12 since the investment is compounded monthly.

We plug in what we know:

\begin{gathered} A=P(1+\frac{r}{n})^{nt} \\ 5336=4739(1+\frac{0.051}{12})^{12t} \\ Simplify\text{ and rearrange} \\ 5336=4739(\frac{12.051}{12})^{12t} \\ 12t=\frac{\ln\frac{5336}{4739}}{\ln\frac{12.051}{12}} \\ t=\frac{\operatorname{\ln}\frac{5,336}{4,739}}{12\operatorname{\ln}\frac{12.051}{12}} \\ Calculate \\ t=2.33 \end{gathered}

Therefore, the answer is 2.33 years.

You might be interested in
What is the result of the mathematical expression below:
uysha [10]
5 is the correct answer.
6 0
2 years ago
Read 2 more answers
One more guys. Please make sure you use PEMDAS!
Alexxx [7]

Answer:

-14

Step-by-step explanation:

Replace the 2 for each k.

\frac{1}{4}2^{5} - 3k^{3} + k^{2} - k

then solve it using PEDMAS: exponents first

= -14

Avocado out!!!!!!!!

5 0
2 years ago
One more than three times a number is the same as four less than double a number
brilliants [131]

Answer:

3x + 1 = 2x - 4.  x = -5

Step-by-step explanation:

3 0
3 years ago
Markus receives the same amount of money from his grandfather
Ber [7]
5 x 1 = 5
5 x 2 = 10
5 x 3 = 15

5 x 7 = 35
7 0
2 years ago
What happens during the process of composing functions?
HACTEHA [7]
<h2>Explanation:</h2>

By composing functions, we apply one function to the result of another function. So the definition is as follows:

The \ \mathbf{composition} \ of \ the \ function \ f \ with \ the \ function \ g \ is:\\ \\ (f \circ g)(x)=f(g(x))

Therefore, what happens during the process of composing functions is that:

The \ domain \ of \ (f \circ g) \ is \ the \ set \ of \ all \ x \ in \ the \ domain \ of \ g \\ such \ that \ g(x) \ is \ in \ the \ domain \ of \ f

In other words, we send the result of g() through the result of f()

6 0
3 years ago
Other questions:
  • Help really need help with this
    9·1 answer
  • Listed below are amounts​ (in millions of​ dollars) collected from parking meters by a security service company and other compan
    14·1 answer
  • Help me please ASAP
    12·1 answer
  • The soccer team has lost 3 out of 7 games so far this season.
    11·2 answers
  • Are there any lines that cannot be written in standard form? If so which ones?
    14·1 answer
  • SoMeonE plZ hAlp me lol
    8·1 answer
  • Some animals on farms eat hay to get energy. A cow can eat 24 pounds of hay each day. Write and evaluate an expression to find h
    14·1 answer
  • Alaina needs to sell 225 boxes in order to be the top seller. She sells thin mints and samoas to all of her customers for a tota
    9·1 answer
  • oswald and paula share sweets in the ratio 7:4 if oswald recievies 49 sweets how many less does paula get​
    13·1 answer
  • Someone please tell me what the answer is<br> 4x + 1 = ?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!