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
agasfer [191]
3 years ago
6

A total of $8000 is invested: part at 8% and the remainder at 12%. How much is invested at each rate if the annual interest is $

650?
Mathematics
1 answer:
inna [77]3 years ago
4 0

Answer:

8% = $7750

12% = $250

Step-by-step explanation:

I P R. T.

8% X .08 .08X

12% 8000-X .12 .12(8000-X)

.08X + .12(8000-X) = 650

.08X + 960 - .12X = 650

<u> </u><u> </u><u> -960 </u><u> </u><u> </u><u> -960</u>

.08x - .12x = -310

<u>-.04x</u><u> </u><u>=</u><u> </u><u>-310</u>

-.04x -.04x

X = 7750

Verify:

X = 7750

8000 - X = 250

250 + 7750 = 8000

You might be interested in
You have won the lottery and will receive 20 annual payments of $10,000 starting today. If you can invest these payments at 8.5%
xxTIMURxx [149]

Answer:

$102,677.20

Step-by-step explanation:

The present value of an annuity due is determined by the following expression:

PV = P+P*(\frac{1-(1+r)^{-n+1}}{r})

Where 'P' is the amount of each payment received, 'r' is the interest rate on the investment and 'n' is the number of yearly payments.

With 20 annual payments of $10,000 at a rate of 8.5%, the present value is:

PV = 10,000+10,000*(\frac{1-(1+0.085)^{-20+1}}{0.085})\\PV = 10,000+ 10,000*(9.26772)\\PV=\$102,677.20

The present value of your winnings is $102,677.20.

8 0
3 years ago
Let f(x) = 4x + 3 and g(x) = -2x + 5. Find fog 5
Oxana [17]

Answer:

-17

Step-by-step explanation:

first find g(5) = -2(5)+5 = -5

then f(-5) = 4(-5)+3 = -17

6 0
3 years ago
Read 2 more answers
Which table represents a direct variation function?
leonid [27]
3 i think it might be

8 0
3 years ago
Read 2 more answers
What is the length of AB?<br> 14 unite<br> 12 unite<br> 10 unite<br> 6 units
Sloan [31]

the answer willllll be 6 units

5 0
3 years ago
ALGEBRA II // MODULE 1
natita [175]

Answer:

1. x = 3

2.x = 6

3. x = 5

I hope this helps you :D

3 0
3 years ago
Other questions:
  • If a manufacturer reduces the number of in the job accidents from an average of 20 a month to an average of 6 a month. What is t
    11·1 answer
  • Find the angle of x and y
    6·1 answer
  • The average reading speed of students completing a speed-reading course is 435 words per minute (wpm). If the standard deviation
    9·1 answer
  • I don't understand this ;-;
    12·2 answers
  • The vertices of a hyperbola are located at (3, −6) and (3, 6). The foci of the same hyperbola are located at (3,−10) and (3, 10)
    12·1 answer
  • A number r divided by 82
    12·1 answer
  • A local Starbucks is tracking the purchases made by its customers. On Saturday 60% of the customers who purchased donuts also pu
    13·2 answers
  • How do you graph y=−x−2.
    8·2 answers
  • Solve . -2 (11 - 4j) = 14<br> (Solve for J)
    12·1 answer
  • I NEED THIS ASAP I HAVE TROUBLE WITH IT PLEASEEEEEEEEEEE!!!!!!!!
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!