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Over [174]
3 years ago
11

What is te measure of DCE

Mathematics
1 answer:
frutty [35]3 years ago
6 0

SIMPLE math 120+(2x+30)+x=180

150+2x+x=180

150+3x=180

3x=30

x=10

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An actor invests some money at 7%, and $24000 more than four times the amount at 8%. The total annual interest earned from the i
natita [175]

Answer:

  • $70,000 at 7%
  • $304,000 at 8%

Step-by-step explanation:

<u>Given</u>:

  Total interest earned on two investments is $29,220.

  An amount is invested at 7%.

  $24,000 more than 4 times that amount is invested at 8%.

<u>Find</u>:

  The amount invested at each rate.

<u>Solution</u>:

  Our strategy will be to define a variable representing the amount invested at 7%, use that variable to write an expression for the amount invested at 8%, then write an equation for the total return on the investments.

Let x represent the amount invested at 7%. Then (24,000+4x) will be the amount invested at 8%. The total interest earned will be ...

  interest on 7% account + interest on 8% account = total interest

  0.07x + 0.08(24000+4x) = 29220

  0.39x + 1920 = 29220 . . . . . . . . . . . simplify

  0.39x = 27300 . . . . . . . . . . . . . . . . . .subtract 1920

  x = 27300/0.39 = 70000 . . . . . . . . . divide by the coefficient of x

  24,000 +4x = 24,000 +280,000 = 304,000 . . . . amount invested at 8%

He invested $70,000 at 7% and $304,000 at 8%.

<u><em>Check</em></u>

The answer must satisfy ...

  7% interest + 8% interest = 29,220

  0.07×70,000 +0.08×304,000 = 4,900 +24,320 = 29,220 . . . . as required

_____

<em>Comment on 6-step method</em>

We have tried to hit the highlights. Your steps appear to be ...

  1. Identify the given information (Given)
  2. Identify the question you are asked to answer (Find)
  3. Identify the useless information in the problem statement (is none)
  4. Decide on a strategy. Make a model or drawing. (model equation shown)
  5. Solve and show work (Solution)
  6. Explain why the answer makes sense (Check)
6 0
3 years ago
Please I need answer right now pleasssseee<br>only C<br>C. -3×(-2/3)²​
Bezzdna [24]

Answer:

-4/3

Step-by-step explanation:

-3 x (-2/3)²

= -3 x (4/9)

= -4/3

6 0
3 years ago
12% of 72 is what number ?
valina [46]
The best thing to do here is to find 1%, then multiply this by 12.
72/100= 0.72
0.72*12= 8.64
Therefore, 12% of 72 is 8.64
Hope this helps :)
6 0
3 years ago
Read 2 more answers
What is 2x² - 3y/2y²-3y where x is -4 and y is - 6​
marysya [2.9K]
The answer is 34, just plug the numbers in
3 0
3 years ago
I WOULD LOVE IF SOMEONE CAN ANSWER THIS QUESTION FOR ME!
postnew [5]

Answer:

32 cm^3

Step-by-step explanation:

The cube is 4 across by 4 high by 2 wide

4*4*2 = 32 cm^3

7 0
3 years ago
Read 2 more answers
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