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
Triangle ABC is equilateral. What is the measure of angle B?
Sonbull [250]

Answer:

60

Step-by-step explanation:

Equilateral triangles- all 3 angles are 60

5 0
3 years ago
Round 4,386 to the nearest hundred​
professor190 [17]

Answer:

4,400 :)

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
6-3y+(-7y)+5.6 i really need answers
lianna [129]

Answer:

+2 • (25y + 29)/5

Step-by-step explanation:

6 0
2 years ago
Paula is located at a position of −12 feet relative to the ground. Which statement shows the distance she is from ground level?
Bess [88]
She is 12 feet below ground level
6 0
3 years ago
can anyone help tech me how to solve for tax and tip. im going to 6th grade and trying to get into the advanced group but I don'
baherus [9]

If something isn't clear or you're still confused about, let me know in the comments.

Step-by-step explanation:

Okay, here's my best try.

Suppose you have a bill for $8.45

If you are asked to add, say, 8% tax, you must calculate 8 percent of 8.45 and then add it to 8.45.

Begin by converting 8% to decimals by dividing by 100.

\frac{8}{100}=0.08 8% is 0.08 in decimal form.

To calculate a percentage of a number, you multiply the decimal percent by the number; example:

0.08(8.45) 8.45 is being multiplied by 0.08. The result is: 0.676. (this is the tax; however you have to round up to two decimal places: $0.68)

After finding the tax amount, if you are asked to add it to the bill, you have to add it to the original bill; in this case, $8.45

This would be: 0.68+8.45=9.13.

Therefore, the total bill after tax is for $9.13

----------------------------------------------------------------------------------------------------

With tips is the same thing, however, you can have 2 situations.

Situation 1: You are asked to calculate 15% tip of total bill.

In this situation, you can do the same we do to calculate tax.

Convert the percentage to decimal by dividing by 100.

\frac{15}{100}=0.15

and multiply it by the original bill.

0.15(8.45)=1.2675. Rounding up, this would be $1.27 for tip.

If you were to add it to the original bill, simply sum.

8.45+1.27=9.72

The total bill after tips is for $9.72

Situation 2: You are asked to calculate 15% tip of the total bill with a tax of 8% included.

In this situation, you must first calculate the total bill with the tax added, like we did above; we got a bill for $9.13 (Tax included)

Then you can calculate 15% tip of this new bill that has tax included.

Convert

\frac{15}{100}=0.15

Multiply by the new bill (because this is the one that includes tax)

0.15(9.13)=1.3695 Round up.... $1.37 for tips.

If you are asked to give a total amount of money including tax and tips, add this to the bill.

9.13+1.37=10.50

This bill would be for $10.50

3 0
3 years ago
Other questions:
  • If f(x) = 2x - 6 and g(x) = 3x + 9, find (f - g)(x).
    15·2 answers
  • In a survey, 600 adults in a certain country were asked how many hours they worked in the
    13·1 answer
  • The statue of Zeus at Olympia is one of the Seven Wonders of the World. On a scale model of the statue, the height of Zeus is 8
    7·2 answers
  • One day, a person went to a horse racing area. Instead of counting the number of humans an horses, he conuted 74 heads and 196 l
    6·1 answer
  • Hi I need to know the slope(m) before 11:00 I know the y-intercept(b) is -3
    14·1 answer
  • 100 Points!!!!!!!!!!!! HELP
    5·2 answers
  • What is the answer to the equation 14.95x6.5?
    5·1 answer
  • If a pool deck of 650 square feet is to be laid with concrete 3" thick, what volume of concrete will have to be poured in cubic
    8·1 answer
  • Which best explains if quadrilateral WXYZ can be a parallelogram?
    10·1 answer
  • Solve 2tan(x)cos^2(x)=1 algebraically
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!