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
a local park is shaped like a square with sides 6 meters long. A circular splash fountain is being placed in the middle of the p
DENIUS [597]

Answer: 624 Square meters

Step-by-step explanation:

6 0
3 years ago
Are the ratios 1:2 and 7:20 equivalent?
stealth61 [152]

Answer:no

Step-by-step explanation:

3 0
3 years ago
The answers to these questions please
vfiekz [6]

Answer:

Q10 is 13.64 cm3

Q 11 is 221 cm3

Step-by-step explanation:

volume is cross sectional area times height for Q 10

volume is length times width times height for Q 11

5 0
3 years ago
Find angle 1, if angle 2 = 56 and m LJKL = 145
Alexandra [31]

Answer: NEED PICTURE TO ANSWER, we dont know if it a square or if its a rectangle, sry

Step-by-step explanation:

3 0
2 years ago
A function is created to represent the costs of living per person in the family. What restrictions would be made to the domain?
Flauer [41]
The domain will be x>0 because their cannot be negative people or negative cost of living per person.
4 0
3 years ago
Other questions:
  • Which exponential expression represents the numerical expression 7⋅7⋅7⋅7?
    6·1 answer
  • Why does a negative times a negative equal a positive proof?
    11·2 answers
  • Evaluate the function for x = -4n.
    6·2 answers
  • I WILL GIVE POINTS....
    7·2 answers
  • A large balloon is tethered to the ground using a 95-foot cable. The wind is pushing the balloon so that the
    13·1 answer
  • 1.
    10·1 answer
  • Jamel wants to buy a PS 5. He found it for $500
    9·1 answer
  • Which equation matches the function described by the table?
    12·1 answer
  • Write the standard form of an equation with p=3sqrt2, theta=135.
    10·1 answer
  • Select all ratios equivalent to 24:21.<br> 7:3<br> 16:14<br> 15:7
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!