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olga_2 [115]
3 years ago
5

Julie and Tom each earn money at thier part time job.

Mathematics
1 answer:
Fudgin [204]3 years ago
5 0
And then they bought food
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An actor invests some money at 9​% simple​ interest, and ​$24,000 more than three times the amount at 10​% simple interest. The
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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

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8 0
3 years ago
If f'(x)=2/x and f(sqrt(e))=5, then f(e)=
docker41 [41]
f'(x)=\dfrac2x
\implies f(x)=\displaystyle\frac2x\,\mathrm dx=2\ln|x|+C

f(\sqrt e)=5\implies 5=2\ln|\sqrt e|+C
\implies 5=\dfrac22\ln e+C
\implies C=4
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3 years ago
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