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
Marysya12 [62]
3 years ago
13

A women invests 37,000, part at 8% and the rest at 91/2 annual interest. If the 91/2% investment provides 627.50 more income tha

n the 8% investment, how much is invested at each rate?
Mathematics
1 answer:
Anni [7]3 years ago
8 0

Answer: the amount invested at 8% is $16500

the amount invested at 9.5% is $20500

Step-by-step explanation:

Let x represent the amount invested at 8%.

Let y represent the amount invested at 9.5%.

A women invests 37,000, part at 8% and the rest at 91/2 annual interest. It means that

x + y = 37000

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time in years

I = interest after t years

Considering the 8% investment,

T =1 year

P = $x

R = 8%

Therefore

I = (x × 8 × 1)/100

I = 0.08x

Considering the 9.5% investment,

T =1 year

P = $y

R = 9.5%

Therefore

I = (y × 9.5 × 1)/100

I = 0.095y

If the 91/2% investment provides 627.50 more income than the 8% investment, it means that

0.095x - 0.08x = 627.5 - - - - - - -1

Substituting x = 37000 - y into equation 1, it becomes

0.095y - 0.08(37000 - y) = 627.5

0.095y - 2960 + 0.08y = 627.5

0.095y + 0.08y = 627.5 + 2960

0.175y = 3587.5

y = 3587.5/0.175

y = 20500

x = 37000 - y = 37000 - 20500

x = 16500

You might be interested in
Find the nonpermissible replacement for y in<br> this expression.<br> y + 9<br> y+7
BigorU [14]

Answer:

idk

Step-by-step explanation:

3 0
2 years ago
Which line is parallel to y=-4x+3?
Oxana [17]

Answer:

Step-by-step explanation:

x = 0

y = -4 (0) + 3

y = 3

(0,3) is a solution.

x-axis is parallel

6 0
2 years ago
Read 2 more answers
Solve for the variable m. m-n=5
dolphi86 [110]

if you wanna solve for m you have get m by him self.

m-n = 5

m-n+n = 5+n

m = 5+ n

there is your answer. hope it is heplful

6 0
3 years ago
The surface area of a rectangular prism with length l, width w, and height h is given by the expression 2lw+2lh+2wh. Write an eq
Yuki888 [10]

Answer:

2(lw+lh+wh)

Step-by-step explanation:

2(lw+lh+wh) using distributive property

4 0
2 years ago
Help me please thanks​
horrorfan [7]

Answer:

325m = c

Step-by-step explanation:

Each meeting room has 325 chairs.

Since we don't know how many meeting rooms there are, the number is replaced with the variable, m.

An equation is a problem with an equals sign so you need to put what it would equal.

Since you don't know how many meeting rooms there are you use the variable, c which represents the total number of chairs.

8 0
2 years ago
Other questions:
  • 2x + 10 = 90<br> What’s is the answer
    9·2 answers
  • Jesse buys a box of assorted granola bars. It includes these flavors:9 chocolate chip
    14·2 answers
  • Oof please help last question (maybe)-
    7·2 answers
  • 0.81 metre subtract from 180 centimetre
    10·1 answer
  • The sum of two numbers is 22. Three times one number increased by five is the same as twice the other number decreased by four.
    10·1 answer
  • I HAVE NO IDEA - Please show your work and full explanation! <br><br> Thanks !
    5·2 answers
  • Sneakers cost $63, the sales tax rate is 7.5% what is the total cost if the sneakers to the nearest cent
    9·1 answer
  • (05.02)
    8·1 answer
  • Mndsndfbabndfbsdjfbhsadfbnnsd
    8·1 answer
  • 54 is 90% of what number?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!