3 years ago

CAN SOMEONE HELP (AND HELP ME UNDERSTAND)

1 answer:

5 0

Consider angle XZY in the attached figure. It is always 1/2 the measure of arc XY, no matter where Z may be located on the major arc XZY. This is true even when ZY is very short.

Now, consider what happens when Z falls on top of tangent point Y. The angle is still half the measure of arc XY, still 62°.

Selection C is appropriate.

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I apologize for any confusion caused by my choice of Z as the name of the point I added. Nothing in my explanation is intended to refer to the Z already shown in the unmodified figure.

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Caroline puts $400 into a savings account that earns 6% annually. Write a function that represents this situation, where t is th

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Answer: 19 years

Step-by-step explanation:

Given

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Rate of interest $R=6\%$

after 1-year amount becomes

$A=400\left (1+6\%\right)\\A=400\left (1+0.06\right)\\A=400\times 1.06\\A=\$424$

After n years it is

$A=400\left (1.06\right)^n$

Sum accumulated is $\$1200$

$\Rightarrow 1200=400\left(1.06\right)^n\\\Rightarrow 3=\left(1.06\right)^n\\\text{Taking log both sides}\\\Rightarrow n=\dfrac{\ln 3}{\ln 1.06}\\\\\Rightarrow n=18.85\approx 19\ \text{years}$