Natalie invested $1,200 in an account paying an interest rate of 6.4% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to
the nearest dollar, would be in the account after 17 years?

FV=$3,445

Step-by-step explanation:

FV=PV(1+i)^n (FV: Future value, PV: Present value)

i=0.064

n=17

FV=1200(1+0.064)^17

FV=3444.9975

FV=$3445.00

3562

Step-by-step explanation:

A=Pe ^rt

P=1200. R=0.064. T=17

A= 1200e^ 0.064 (17)

A=1200e ^1.088

A=3561.9977628

A≈ 3562

^^according to delta math

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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) is the negative form of f(x)? because whenever its the negative form it reflects its self over the x axis. idk if this is right though.

step-by-step explanation: