Use a formula to calculate the amount of money you would have if you invest $3000 at a rate of 5% compounded quarterly, for 3 years. (remember y=a(1+r)^n) )

how would this value change if the rate was 1.5% compounded monthly for the same period?

At 5% compounded quarterly, the amount of $3,000 would be $3,482.

At 1.5% compounded monthly, the amount of $3,000 would be $3,138.

Step-by-step explanation:

Option 1:

Rate = r = 5%

Times = b = 4

y = a (1 + r)ⁿ

For compounded quarterly the rate of interest and Number of years will be written as follows:

y = a [1 + (r / b)]ⁿᵇ

y = $3,000 [1 + (0.05 / 4]³ ˣ ⁴

y = $3,000 [1 + 0.0125]¹²

y = $3,000 [1.0125]¹²

y = $3,000 x 1.160755

y = $3,482

Option 2:

Rate = r = 1.5%

Times = b = 12

y = a (1 + r)ⁿ

For compounded monthly the rate of interest and Number of years will be written as follows:

y = a [1 + (r / b)]ⁿᵇ

y = $3,000 [1 + (0.015 / 12]³ ˣ ¹²

y = $3,000 [1 + 0.00125]³⁶

y = $3,000 [1.00125]³⁶

y = $3,000 x 1.045998

y = $3,138

Hence As compared to Option 1, Option 2 has low rate of return by $344. Therefore Option 1 should be selected.

step-by-step explanation:

through just a quick inspection, one can see that the graph of this cubing function starts in quadrant iii and ends in quadrant i.   when x = 0, y = 3, so the y-intercept is (0, 3).

if graphs are part of the problem statement, share them.   .

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,