Khloe is going to invest in an account paying an interest rate of 7% compounded quarterly. How much would Khloe need to invest, to the nearest cent, for the value of the account to reach $340,000 in 19 years?

$90,962.66

Step-by-step explanation:

The formula for this is, where V = amount after t years:

V = P(1 + r/n)^nt   where P is the amount invested, r = the rate as a decimal fraction, n is the number of times interest compounded each year and t = the number of years.

Here, V = 340,000, r = 0.07, n = 4 , t = 19 and P is to be found.

340,000 = P(1 + 0.07/4)^(4*19)

340,000 = P( 1.0175)^76

P = 340,000 / (1.0175^76)

P =  $90,962.66

x+14

step-by-step explanation:

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have