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Oksana_A [137]
3 years ago
15

Abraham just accepted a new job at consulting firm that pays $47,500 during the first year, with an annual increase of 7% per ye

ar beginning in the second year. What can Abraham expect to earn in his fifth anniversary with the consulting firm? Round your answer to the nearest dollar
Mathematics
2 answers:
gladu [14]3 years ago
5 0

Answer:

64,125 I think

Step-by-step explanation:

7%x 5 years =35%

35% of 47, 500 is 16625

16625 + 47,500=64,125

Whitepunk [10]3 years ago
3 0

Answer:

about $66,621

Step-by-step explanation:

Since its an increase in salary, we want 0.07+1 = 1.07 (if he was losing his salary, it instead would be 0.07-1, but that's not the case here)

Then we plug it in as 47,500(1.07)^x

he's expecting what would he get in his fifth year at the firm. So let's set x = 5.

47,500(1.07)^5 = $66,621.20721 or ≈ $66,621 to the nearest dollar.

Note: This is how I'm doing it in <u>High School.</u> So if this is incorrect, I'm sorry.

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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)
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Step-by-step explanation:

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