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
matrenka [14]
3 years ago
13

A company will need ​$45000 in 5 years for a new addition. To meet this​ goal, the company deposits money in an account today th

at pays 7​% annual interest compounded quarterly. Find the amount that should be invested to total ​$45,000 in 5 years?
Mathematics
1 answer:
alina1380 [7]3 years ago
7 0
The general formula is
A = P ( 1 + \frac{I}{100}) ^ t

Where:
P = principal that becomes A in t years at the rate I% compound interest per annum.

Here the rate is 7% per annum (12 months)
So I is 1.75% per quarter (3 months)
So t will also be in quarters.

Put:
A = 45000
I = 1.75
t = 20 (since there are 20 quarters in 5 years)(5 years * 4 quarters per year)

45000 = P* \frac{1.75}{100} ^{20}
P = \frac{45000} {1.0175^{20} }
= \frac{45000}{1.41477819576}
≈$31807.12

Thus, the amount that should be invested is $31,807.12

You might be interested in
Explain the process of finding the product of two integers
kompoz [17]
If you have two negatives they cancel each other out and make a positive. The  same if you have to positives the product will be positive. If you have a negative and a positive you multiply the numbers and bring down the negative. Same if you have a positive and a negative. Only two negatives cancel each other out, same with positives. For example -4(-5)(-1) you would use order of operations, 4 and the 5 cancel each other out and you multiply 20 by -1 which is -20 since you bring down the negative.

4 0
3 years ago
Read 2 more answers
Show your work: convert 1/8 into a decimal
lukranit [14]

answer : 0.125

explanation: it’s actually really easy all you have to do is

take the fraction and divide it like :

1/8 = 1 divided by 8 = 0.125
3 0
2 years ago
I need help with this.
likoan [24]

a quick clarification and then some.

Profit is what's leftover after the cost is subtracted from the revenue, or namely, if you sell a product for some amount, say 10, and you sold 100 of those, so you made 10*100 or 1000, that's the revenue or the income coming in, however, in making the product you had to cover some expenses, like if it's clothing, well, you have to buy the garment and saw it, have premises and machines to make the clothing and so on, all that's expenses, and since it's out of pocket money, is Cost, if you subtract that Cost from the 1000 in Revenue, what's leftover, that surplus is Profit.

this company sells "p" units, each at $855, so their Revenue will just be 855p, expenses or Cost is a fixed amount of $6780, so the profit comes from their difference.

on a given month, they sold 250, namely p = 250, so their Revenue is just 250*855 = 213750 bucks, however, we need to remove the Costs of 6780, 213750 - 6780 = 206970, that's our Profit.

now, the CEO takes a bite of 15% of that

\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{15\% of 206970}}{\left( \cfrac{15}{100} \right)206970}\implies 31045.5

5 0
3 years ago
What is the sum of the polynomials?
lesya [120]

Add the like terms:

8x2+x2=9x2

-9y2-3y2=-12y2

-4x-7x=-11x

Combine each term:

9x2-12y2-11x

Hope this helps!!

5 0
3 years ago
He paid $5.83 to make each shirt and sold each shirt at a marked-up price.
Naddika [18.5K]

we know he made a profit of 1834 for 200 shirts, let's divide those to see how much profit per shirt

\cfrac{1834}{200}\implies \cfrac{917}{100}\implies 9.17

so he made a profit of 9.17 per shirt, now profit is surplus value, value beyond the cost, we know its cost was 5.83 per shirt, so if we take 5.83 to be 100%, how much is 9.17 off of it in percentage?

\begin{array}{ccll} amount&\%\\ \cline{1-2} 5.83&100\\ 9.17&x \end{array}\implies \cfrac{5.83}{9.17}=\cfrac{100}{x}\implies 5.83x=917 \\\\\\ x=\cfrac{917}{5.83}\implies x \approx 157.29

7 0
2 years ago
Other questions:
  • Please answer this correctly
    8·1 answer
  • suppose you had d dollars in your bank account. you spent $12 but have at least $51 left. how much money did you have initially?
    10·2 answers
  • Calculate the volume of each rectangular prism using the information that is provided.
    10·1 answer
  • Which is greater, the greatest whole number with 4 digits or the least whole number with 5 digits
    6·2 answers
  • Find the value of X in the figure. With written equation.
    5·1 answer
  • Please help I'm dying ​
    8·1 answer
  • PLEASE HELP!!!fast!!!!!!
    14·2 answers
  • Evaluate a-b if a=10 and b=-7​
    11·1 answer
  • wrote this expression on the board: 2 12 ÷ 34 She asked her students to write a word problem that could be solved using the expr
    13·1 answer
  • Complete the function table.<br> Input (n) | Output (n + 5)<br> -2<br> 4<br> 2
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!