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
tresset_1 [31]
3 years ago
12

Tamara invests $8000 in two different accounts. The first account has a simple interest rate of 3% and the second account has a

simple interest rate of 2%. How much did she invest in each account if the interest earned in them in the same at the end of one year?
PLEASE Show Work/How to solve it (: ​
Mathematics
1 answer:
Paraphin [41]3 years ago
8 0

Answer:

  • $3200 at 3%
  • $4800 at 2%

Step-by-step explanation:

Interest earned is proportional to the interest rate, so if the interest earned is the same, the amounts invested must be inversely proportional to the interest rates. That is, for the 3% and 2% accounts, the ratio of money invested is 2:3.

In other words, 2/5 of the money ($3200) was invested at 3%, and 3/5 of the money ($4800) was invested at 2%.

_____

If you need an equation, you can let x represent the amount invested at the highest rate. Then 8000-x is the amount invested at the lower rate. For the interest in the two accounts to be equal, we have ...

  3%·x = 2%·(8000-x) . . . . . the amounts of interest earned are the same

  3/2·x = 8000 -x . . . . . . . . divide by 2%

  5/2·x = 8000 . . . . . . . . . . . add x and simplify

  x = 8000·(2/5) = 3200  . . . multiply by the inverse of the x coefficient

  8000-x = 8000 -3200 = 4800 . . . . the amount invested at the lower rate

Tamara invested $3200 in the 3% account and $4800 in the 2% account.

_____

She earned $96 in each account for the year.

You might be interested in
Help once again !!!!
alekssr [168]
The answer is a rotation
6 0
3 years ago
Read 2 more answers
-6.5+c=-4.12. How do you solve
Reptile [31]

Answer: c=2.38

Step-by-step explanation:

4 0
3 years ago
Which explanation best describes how to solve this problem?
Minchanka [31]
I believe it is a but i will double check and post ok

4 0
3 years ago
If it takes Mr. Williams 1/5 hour to grade each of his students’ tests, how many tests can he grade in 4 hours?
MaRussiya [10]

Answer:

1234567891011121314151617181920

7 0
3 years ago
Read 2 more answers
Ashton picked 6pounds of pecans.he wants to share the pecans equally among 5 of his neighbors.how many pounds of pecans will eac
jenyasd209 [6]
Each neighbor would get 1.2 pounds a piece 
5 0
3 years ago
Other questions:
  • Use the Factor Theorem to determine which of the following are NOT factors of 3x^4 - 5x^3 - 71 x^2 + 157x + 60 a. x - 3 c. x - 2
    8·1 answer
  • How much more intrest is owed on 900 dollars for 9 months than 6 months
    12·1 answer
  • Boar’s Head turkey costs $5.15 per pound. Mary needs to purchase 2.6 pounds for her family picnic. What is her total cost at the
    10·1 answer
  • A florist makes 4 floral arrangements that are exactly the same. He uses 4 bunches of 8 tulips and 2 bunches of 10 daisies.How
    9·1 answer
  • PLZ help thanks!!!! A shipment of 10 tons of sugar is separated into containers of equal size. If the shipment fills 3 3/4 conta
    15·2 answers
  • How do you simplify 2m²×2m³ ?​
    6·2 answers
  • What is the difference?<br><br> 10.22 – 3.651
    13·2 answers
  • One number is 3 less than another number if their sum is 49
    5·1 answer
  • WILL GIVE BRANLIEST
    6·1 answer
  • Express the radical using the imaginary unit i
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!