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Alisiya [41]
3 years ago
10

Jessica has an account with a credit union. Her account earns 2.2% simple interest yearly. Exactly a year and a half ago, she op

ened her account with $900.
How much interest has she earned so far?
Mathematics
1 answer:
Sergeu [11.5K]3 years ago
6 0
Interest earned= \frac{PRT}{100}
I=\frac{900*2.2*1.5}{100}
I= <span>$ 29.70</span>
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Integrala x la a treia ori ln la a doua dx va rog
Studentka2010 [4]

I don't speak Romanian, but the closest translation for this suggests you're trying to compute

\displaystyle \int x^3 \ln(x)^2 \, dx

Integrate by parts:

\displaystyle \int x^3 \ln(x)^2 \, dx = uv - \int v \, du

where

u = ln(x)²   ⇒   du = 2 ln(x)/x dx

dv = x³ dx   ⇒   v = 1/4 x⁴

\implies \displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac12 \int x^3 \ln(x) \, dx

Integrate by parts again:

\displaystyle \int x^3 \ln(x) \, dx = u'v' - \int v' du'

where

u' = ln(x)   ⇒   du' = dx/x

dv' = x³ dx   ⇒   v' = 1/4 x⁴

\implies \displaystyle \int x^3 \ln(x) \, dx = \frac14 x^4 \ln(x) - \frac14 \int x^3 \, dx

So, we have

\displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac12 \left(\frac14 x^4 \ln(x) - \frac14 \int x^3 \, dx \right)

\displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac18 x^4 \ln(x) + \frac18 \int x^3 \, dx

\displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac18 x^4 \ln(x) + \frac18 \left(\frac14 x^4\right) + C

\displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac18 x^4 \ln(x) + \frac1{32} x^4 + C

\boxed{\displaystyle \int x^3 \ln(x)^2 \, dx = \frac1{32} x^4 \left(8\ln(x)^2 - 4\ln(x) + 1\right) + C}

3 0
2 years ago
PLEEEAAAASE HELLP!!!Tina is making a cylindrical sandbox that has a radius of 2 feet. She bought 18.84 cubic feet of sand for th
madam [21]

Answer:

Step-by-step explanation:

The answer is 1.5 ft i just took the test

8 0
3 years ago
Read 2 more answers
9. Jack is learning to save, spend, and give his money away to charities. He has determined to give 10% of his summer job earnin
Kamila [148]

Answer:

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Step-by-step explanation:

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2 years ago
Urgent math help needed will mark brainliest
iren [92.7K]

Remark

Many calculators have a key that will do this in one step. Mine is one of them. So let's start with the answer and then we'll do it the long way.

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Solution

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3*4*7 = 84 which is what you set out to show.


3 0
3 years ago
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