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
kenny6666 [7]
3 years ago
12

In one year, Michael earned $6300 as a work study in college. He invested part of the money at 9% and the rest at 7%. If he rece

ived a total of $493 in interest at the end of the year, how much was invested at 7%? How much was invested 9%?
Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
7 0
He invested x at 9% and y at 7%.
The total investment was $6300, so
x + y = 6300

The 9% account earned 0.09x in interest.
The 7% account earned 0.07y in interest.
The total interest earned was
0.09x + 0.07y = 493

We have 2 equations in 2 unknowns. We solve the equations as a system of equations.

Solve the first equation for x and substitute in the second equation.

x = 6300 - y

0.09(6300 - y) + 0.07y = 493

567 - 0.09y + 0.07y = 493

-0.02y = -74

y = 3700

x + y = 6300

x + 3700 = 6300

x = 2600

He invested $2600 at 9% and 3700 at 7%
You might be interested in
Without solving an equation, determine whether 1/4% of 80 is less than, equal to, or greater than 25% of 80?
Anettt [7]

1/4= 0.25%

25%>0.25

So, 25% of 80 is more than 1/4% of 80 and 1/4% of 80 is less than 25% of 80.


3 0
4 years ago
Read 2 more answers
The values in the table represent a linear function. What is the common difference of the associated arithmetic sequence?
patriot [66]

A bc the Y numbers increase by 17 every time X increases by 1

8 0
3 years ago
Read 2 more answers
The answer to a multiplication problem is called the? The answer to a multiplication problem is called the? Follow 11 answers 11
LUCKY_DIMON [66]
No? wait what? nevermind im seeing things
4 0
3 years ago
Someone please help me on this (also show your work.) WILL MARK BRIANLlIEST!!!!!
Dafna11 [192]

Answer:

8. -8

9. 19

10. 32

Step-by-step explanation:

I will not do your entire homework sheet in one answer, but I will do a couple for you.

8. (24÷6)-(2×6)

4 - 12

-8

9. 48 ÷ 6 × 3 - 5

8 × 3 - 5

24 - 5

19

10. (35 ÷ 5) × 2 + 3 × 6

7 × 2 + 3 × 6

14 + 18

32

4 0
3 years ago
Read 2 more answers
3x^2+5x^2+3x+1=(3x-1)(x^2+A)+B
True [87]

Answer: If the question is to solve for A: A= \frac{15x+1-B}{3x-1}

If the question is to solve for B: B= 15x+1-3xA+A

Step-by-step explanation:

A: Move terms to the left.

B: Simplify both sides.

5 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following functions computes a value such that 2.5% of the area under the standard normal distribution lies in the
    9·1 answer
  • Sylvie bought 13 bagels and a container of cream cheese.Each bagel cost the same price.The cream cheese cost $2.95.Sylvie spent
    13·2 answers
  • if PQ || RS and the slope of PQ= x-1/4 and the slope of RS is 3/8 then find the value of x justify algebraically and numerically
    6·1 answer
  • Simplify the expression below.
    8·1 answer
  • 15 is equal to the difference of 7 and 2 times a number
    10·1 answer
  • Find the Distance between points A and B: A (8, 12) B: (2, 4)
    10·1 answer
  • What is the numerical coefficient of the linear term of the quadratic equation 3x2 − 9 =0?
    5·1 answer
  • What is the degree of (2x + 45)
    14·1 answer
  • Find the distance bdtween point A to AZ. round your answer to the nearest tenth. big ideas math​
    11·1 answer
  • Im not sure what the answer too this question is i could really use some help
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!