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3 years ago

I need help with this question on USA Test Prep

Mathematics

2 answers:

Fynjy0 [20]3 years ago

4 0

your correct answer would be c. 3

maksim [4K]3 years ago

3 0

Answer choice C, 1.5 x 3= 4.5

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3 years ago

In which quadrant will the image FGH lie after a counterclockwise rotation of 1980 degrees? Explain how you made your prediction

Nata [24]

A 360 degrees counter-clockwise rotation will bring the triangle at the same place.

So, divide 1980 by 360 and find the remainder.

On dividing, we can find that

1980 = 5(360) + 180

A 1800 degrees rotation will rotate the triangle 5 times and will bring it in the same place.

A further 180 degrees rotation will rotate the triangle to two quadrants back and will bring it in the first quadrant.

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3 years ago

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kherson [118]

Answer:

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Step-by-step explanation:

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3 years ago

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levacccp [35]

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6 0

3 years ago

Please help with 11c!?

Contact [7]

Answer:

"To the nearest year, it would be about 9 years"

Step-by-step explanation:

11c)

This is compound growth problem. It goes by the formula:

$F=P(1+r)^t$

Where

F is the future amount

P is the present (initial) amount

r is the rate of growth, in decimal

t is the time in years

Given,

P = 20,000

r = 8% = 8/100 = 0.08

F = double of initial amount = 2 * 20,000 = 40,000

We need to find t:

$F=P(1+r)^t\\40,000=20,000(1+0.08)^t\\2=(1.08)^t$

To solve exponentials, we can take Natural Log (Ln) of both sides:

$2=(1.08)^t\\Ln(2)=Ln((1.08)^t)$

Using the rule shown below we can simplify and solve:

$Ln(a^b)=bLn(a)$

We can write:

$Ln(2)=Ln((1.08)^t)\\Ln(2)=tLn(1.08)\\t=\frac{Ln(2)}{Ln(1.08)}\\t=9.0064$

To the nearest year, that would be about 9 years

5 0

3 years ago