Use the compound interest formula to compute the total amount accumulated and the interest earned $4500 for 3 years at 5% compounded quarterly the total amount accumulated after 3 years is $5223.40 (round to the nearest cent as needed.) the amount of interest earned is $ (round to the nearest cent as needed.)

The formula to find the compound amount if compounded quarterly :-

 , where P is the principal amount, r is the rate of interest ( in decimal) and t is the time period ( in years).

Given : P=  $4500 , r= 5%=0.05 and t= 3 years

Then, the compound amount after 3 years if compounded quarterly :-

Hence, the total amount accumulated after 3 years is $5223.40

Interest = Compound Amount - Principal amount

=$5223.40-$4500=$723.4

Hence, the  amount of interest earned is $723.4 .

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2