2 years ago

Angela invests 2,550 at 3% interest compounded annually. What will be the balance in the account after 1.5 years?

Mathematics

1 answer:

marin [14]2 years ago

6 0

answer my question then i'll answer yours

Which sentence uses a conjunctive adverb correctly?

The kite was hopelessly tangled in electrical wires, still, the little girl's father struggled to get it down.The kite was hopelessly tangled in electrical wires; still, the little girl's father struggled to get it down.

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Find the average value of the function f(t)=cos13(5t)sin(5t) f(t)=cos13⁡(5t)sin⁡(5t) on the interval [4,10].

Vilka [71]

The average value is given by

$\displaystyle\frac1{10-4}\int_4^{10}\cos^{13}5t\sin5t\,\mathrm dt$

Setting $y=\cos5t$ , you get $\mathrm dy=-5\sin5t\,\mathrm dt$ , and the integral becomes

$\displaystyle-\frac1{30}\int_{\cos20}^{\cos50}y^{13}\,\mathrm dy$
$=-\dfrac1{30}\dfrac{y^{14}}{14}\bigg|_{y=\cos20}^{y=\cos50}$
$=-\dfrac{\cos^{14}50-\cos^{14}20}{420}\approx-0.00145$