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
Katarina [22]
3 years ago
14

Trent invests $8700 in two different accounts. The first account paid 4 %, the second account paid 8 % in interest. At the end o

f the first year he had earned $540 in interest. How much was in each account
please i need it
Mathematics
1 answer:
Mnenie [13.5K]3 years ago
4 0

a = amount invested at 4%

b = amount invested at 8%

we know the total amount invested is 8700, so if he invested "a" already, the second amount must be b = 8700 - a.

\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{4\% of a}}{\left( \cfrac{4}{100}\right)a\implies 0.04a}~\hfill \stackrel{\textit{8\% of b}}{\left( \cfrac{8}{100} \right)b\implies 0.08b} \\\\[-0.35em] ~\dotfill

\bf \stackrel{\textit{sum of the percentages}}{0.04a+0.08b}~~=~~\stackrel{\textit{yield for 1 year}}{540}\implies 0.04a+0.08\left(\boxed{8700-a} \right) = 540 \\\\\\ 0.04a-0.08a+696=540\implies -0.04a+696=540\implies -0.04a=-156 \\\\\\ a= \cfrac{-156}{-0.04}\implies \blacktriangleright a = 3900 \blacktriangleleft~\hfill b = 8700-3900\implies \blacktriangleright b = 4800 \blacktriangleleft

You might be interested in
3x + 3y =15 and x = -3y -1
saul85 [17]

Answer:

  (x, y) = (8, -3)

Step-by-step explanation:

You can substitute for x in the first equation:

  3(-3y -1) +3y = 15

  -6y = 18 . . . . . add 3 and simplify

  y = -3 . . . . . . . divide by -6

  x = -3(-3) -1 = 8 . . . . find x using the second equation

The solution to this system of equations is (x, y) = (8, -3).

4 0
3 years ago
Write the number equal to 2 tens 15 ones
Crazy boy [7]
Well 2 tens are 20 and 15 ones are 15 so 2 tens and 15 ones are 35 as an answer. 
4 0
3 years ago
I will give brainliest
alexandr402 [8]

Answer: Angle CDG, I think.

Step-by-step explanation:

The definition of Corresponding Angle is: On the same side of the transversal. One is interior and the other is exterior.

Since ADE is interior, then the other angle must be exterior.

6 0
3 years ago
A company makes video games. The price of a video game is modeled by the function p(x) = 30x + 2, where x is the number of years
atroni [7]

The answer is option C "multiplication." You have the function p(x) = 30x + 2 and x equals the number of years since the company started producing games which has this equation also s(x) = 500x + 250 in order to find the revenue from their video games the company should use the multiplication on the polynomials.

Hope this helps!


4 0
3 years ago
Read 2 more answers
Students in Mrs. Doyle's classes use 3/4 of a bottle of hand sanitizer every week. Which expression can be used to find how many
vampirchik [111]

Answer:

A. 12 x 3/4

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Other questions:
  • Someone else helpp! I need help with this.​
    8·1 answer
  • Express 754,96 correct to one significant figure and to one decimal place
    8·1 answer
  • Find the difference: 28y − 16y
    14·2 answers
  • Help ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    5·1 answer
  • What’s the correct solution to 2x^2+8x=x^2-16
    8·1 answer
  • How many times does 9 go in to 8
    15·1 answer
  • What is the measure of B?
    13·2 answers
  • 0.34 round to the nearest hundredth
    8·1 answer
  • Trthhhhjvbbjjjjj<br>Ghhhhhjjjbn
    12·1 answer
  • For a test, please and thank you!
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!