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
sasho [114]
3 years ago
15

Paul has $30,000 to invest. His intent is to earn 15% interest on his investment. He can invest part of his money at 8% interest

and part at 18% interest. How much does Paul eed to invest in each option to make a total 15% return on his $30,000?
A) 6% interest
B) 15% interest
Mathematics
1 answer:
jeka943 years ago
6 0

Answer:

Amount invested at 8% is $9000 and amount invested at 18% is $21000.

Step-by-step explanation:

Let amount invested at 8% be x.

Let amount invested at 18% be y.

We get the 1st equation as:

x+y=30000       ........(1)

We get the second equation as:

0.08x+0.18(y)=0.15\times30000

=> 0.08x+0.18y=4500

or getting rid of the decimal by multiplying by 100 on both sides.

8x+18y=450000          ........(2)

Multiplying (1) by 8 and subtracting from (2) we get

10y=210000  

So, y = 21000

And x+21000=30000

x = 30000-21000

So, x = 9000

Therefore, amount invested at 8% is $9000 and amount invested at 18% is $21000.

You might be interested in
Suppose a compact car uses 1 gallon of fuel for every 27 miles traveled. How would the graph for the compact car compare to the
laila [671]
You get 20 miles for every one gallon
8 0
3 years ago
Read 2 more answers
I need help with fractions :(
bearhunter [10]

Answer:

x = 0, Need the steps?

STEPS:

9x - 7 = -7 (Original Problem)

9x = 0 (Add 7 to both sides)

x = 0 (Divide both sides by 9)

8 0
3 years ago
Read 2 more answers
In a class 30 of students, 19 play an instrument and 10 play a sport. There are 8
baherus [9]

Answer:

1/30

Step-by-step explanation: There are 30 students 19 play instr, 10 play spor,

8 who do both. Their is one student that was left out so the answer is 1/30

8 0
3 years ago
Solve the system using elimination.
KIM [24]
We can't eliminate as is so we have to change something up there in the equations to get either the x values the same number but opposite signs, or the y values the same number but opposite signs.  I chose to change the y values to the same number but different signs. In the first equation y is -3y and in the second one, y is -8y. The LCM of both of those numbers is 24, so we will multiply the first equation by an 8 (8*3=24) and the second equation by 3 (3*8=24) but since they are both negative right now, one of those multiplications has to involve a negative because - * - = +. Set it up like this:
8(-10x - 3y = -18)
-3(-7x - 8y = 11)
Multiply both of those all the way through to get new equations:
-80x - 24y = -144
 21x  +24y = -33
Now the y's cancel each other out leaving only the x's:
-59x = -177 and x = 3.  Now plug that 3 into either one of the original equations to find the y value.  Either equation will work; you'll get the same answer using either one. Promise. -7(3) - 8y = 11 gives a y value of -4.  so your solution is (3, -4) or B above.
7 0
3 years ago
Read 2 more answers
Tyree and four friends go to the movies. Each person buys a movie ticket for $7, a snack for $5, and a drink for $2. Write an ex
Mandarinka [93]

Answer:

Tyree and all of his friends get 1 ticket for $7. Next they all get 1 snack for $5. Then they all get a drink for $2. So:

1=7

1=5

1=2

Then you take each person (which there are five of then) and you times all five people by 7, 5, 2.

5 x 7=35

5 x 5=25

5 x 2=10

After that you add it all together:

35 plus 25=60

60 plus 10=70

Step-by-step explanation:

your welcome

4 0
3 years ago
Read 2 more answers
Other questions:
  • Evelyn has $524.96 in her checking account. She must maintain a $500 balance to avoid a fee. She wrote a check for $32.50 today.
    6·1 answer
  • Two angles are complementary is the sum of their measures is 90 degrees. The measure of the first angle is 36 degrees more than
    5·1 answer
  • I need help on this question please and thank you!
    7·1 answer
  • Express the linear equation 3=2x in the form of ax+by+c=0 indicate the value of a,b and c
    9·1 answer
  • The set of natural numbers is: infinite finite
    6·2 answers
  • The perimeter of a rectangular meadow is 1004 m. What
    14·1 answer
  • 23. Solve for x.<br> 10<br> х<br> 12<br> 13
    13·1 answer
  • (GIVING BRAINLIEST!!!!!!)
    5·1 answer
  • Rewrite the expression using the fewest terms possible n ( 3 + 2) + 3n
    9·1 answer
  • The sum of 10 consecutive integersstarting with 11, equals the sum of 5 consecutive integers, starting with
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!