3 years ago

0.004 of all math majors at a certain university double major in music. Express this decimal as a percent.

Mathematics

1 answer:

RUDIKE [14]3 years ago

3 0

I think the answer is 4%

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Molly has a $2500 down payment saved for this purchase, and the dealer’s $1500 Cash Allowance will come straight off her total.

babunello [35]

Answer: $\$\ 1000$

Step-by-step explanation:

Given

Molly down payment $=\$\ 2500$

Dealer's allowance $=\$\ 1500$

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Since $a(t)=-4\sin2t$ and $v(0)=7$ , we get

$\displaystyle\int_0^ta(u)\,\mathrm du=\int_0^t-4\sin2u\,\mathrm du=2\cos2u\bigg|_0^t=2\cos2t-2$

$\implies v(t)=2\cos2t+5$

Similarly, the position function is obtained via

$x(t)=x(0)+\displaystyle\int_0^tv(u)\,\mathrm du$

We know $v(t)$ and we're told that $x(0)=0$ , so

$\displaystyle\int_0^tv(u)\,\mathrm du=\int_0^t(2\cos2u+5)\,\mathrm du=\sin2u+5u\bigg|_0^t=\sin2t+5t$

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