-10k = 20 Please help I really dont understand.

Mathematics

1 answer:

algol [13]3 years ago

6 0

Answer: Divide each term by − 10 and simplify.

k = −2

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Eden opened a credit card at a department store with an APR of 19.07% compounded monthly. What is the APY on this credit card?

notsponge [240]

APR = Annual Percentage Rate; APY = Annual Percentage Yield.
This is a tough question!!

To get the APY we use the compounding formula (A = P(1+r/n)^nt) and put $1 in for the principal and see what our final amount is at 19.07% after a year.

A = 1(1+.1907/12)^12

A= 1.0159^12

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gizmo_the_mogwai [7]

$\tan x-5=0$
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Now before taking the inverse tangent of both sides, recall that

$\tan x=\tan(x\pm\pi)=\tan(x\pm2\pi)=\cdots=\tan(x\pm n\pi)$

where $n$ is any integer. This means that when taking the inverse tangent of $\tan x$ , instead of just $x$ , we would end up with

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So after doing so in the equation above, we're left with

$x\pm n\pi=\arctan5\implies x=\arctan5\pm n\pi$

As $n$ can be any integer, including negative integers, we can simply write

$x=\arctan5+n\pi,\,n\in\mathbb Z$