An investor was afraid that he would become like King Lear in his retirement and beg hospitality from his children, so he purchased grain "tithes," or shares in farm output, for 700 pounds. The tithes paid him 73 pounds per year for 30 years. What interest rate did the he receive on this investment?

5%

Step-by-step explanation:

A = P(1+r)^n

A is the total amount the investment yields in 30 years.

Total amount = total interest + principal = (73×30) + 700 = 2,190 + 700 = 2,890 pounds

P is the principal,it is the amount that is invested. P = 700 pounds

n is the duration of the investment. n = 30 years

2,890 = 700(1 + r)^30

(1 + r)^30 = 2890/700

(1 + r)^30 = 4.13

1 + r = (4.13)^1/30

1 + r = 1.05

r = 1.05 - 1 = 0.05 = 5%

Interest rate (r) is 5%

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