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Nimfa-mama [501]
3 years ago
13

An actor invests some money at 9​% simple​ interest, and ​$24,000 more than three times the amount at 10​% simple interest. The

total annual interest earned from the investment is ​$38,670. How much did he invest at each​ amount? Use the​ six-step method.
Mathematics
1 answer:
Andrew [12]3 years ago
8 0

Answer:

The amount invested at 9% is $93000

The amount invested at 10% is $303000

Step-by-step explanation:

Let the amount invested at 9% interest rate be x

And the amount invested at 10% rate be y

Simple Interest from x in a year = 0.09x

Simple Interest from y in a year = 0.1y

But y = 24000 + 3x

And the sun of the interests, 0.09x + 0.1y = 38670

Now we have a simultaneous eqn

y = 24000 + 3x (eqn 1)

0.09x + 0.1y = 38670 (eqn)

Substitute y into eqn 2

0.09x + 0.1(24000 + 3x) = 38670

0.09x + 2400 + 0.3x = 38670

0.39x = 38670 - 2400

x = 36270/0.39 = $93000

y = 24000 + 3x = 24000 + 3 × 93000 = $303000

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Please help! REWARDING BRAINLIEST FOR BEST ANSWER
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At the end of eight years,

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3 years ago
In a bag there are 10p coins, 20p coins and 50p coins
Scrat [10]

Answer:

Approximately 25p (please change to pounds by yourself I'm not European, sorry).

Ok so according to my research its 100 pence to one pound. Which will mean that 25p in pounds is £ 00.25

Step-by-step explanation:

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(Sorry I couldn't change to pounds)

And I tried to explain as much as possible, you can ask if you're confused.

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kherson [118]

9514 1404 393

Answer:

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Step-by-step explanation:

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