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3 years ago

7

what is the equation, in slope-intercept form, of the line that is perpendicular to the line y – 4 = –(x – 6) and passes through

the point (−2, −2)?

1 answer:

Anna11 [10]3 years ago

4 0

Y-4=-1(x-6)
-2-4= -1(-2-6)
-6 = -1(-8)
-6 = 8

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777dan777 [17]

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3 years ago

suppose that you have 3000$ to invest. which investment yields the greater return over a 10 year period: 8.04% compounded daily

Ksenya-84 [330]

Answer: Option A: 8.04% compounded daily

<u>Step-by-step explanation:</u>

$A = P\bigg(1+\dfrac{r}{n}\bigg)^{nt}\qquad where\\\\\bullet A = \text{accrued amount (principal plus interest earned)}\\\bullet P = \text{principal (amount invested)}\\\bullet r = \text{rate (in decimal form)}\\\bullet n=\text{number of times compounded in one year}\\\bullet t=\text{time (number of years)}\\\\\\Option\ A:\\A = \text{unknown}\\P=3000\\r=8.04\%\rightarrow 0.0804\\n=\text{daily}\rightarrow 365\\t=10\\\\A=3000\bigg(1+\dfrac{0.0804}{365}\bigg)^{365\times 10}\\\\.\ =\$ 6,702.79$

$Option\ B:\\A = \text{unknown}\\P=3000\\r=8.1\%\rightarrow 0.081\\n=\text{quarterly}\rightarrow 4\\t=10\\\\A=3000\bigg(1+\dfrac{0.081}{4}\bigg)^{4\times 10}\\\\.\ =\$ 6,689.37$

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4 years ago

Which number line shows the solution to the inequality 8x – 9 < –41?

lora16 [44]

Answer:

A

Step-by-step explanation:

In the inequality, you want to simplify it to get x on one side, and the numeric values on the other.

So, moving 9 to the other side, you get, 8x<-32

Then, you can divide by 8 on both sides to get x alone.

You get, x<-4.

From this, we can see that it should be an open dot at -4, and pointing to the left.

So, the correct number line is A.

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2 years ago