Nina made two investments: Investment \text{A}Astart text, A, end text has a value of \$50$50dollar sign, 50 at the end of the first year and increases by 8\%8%8, percent per year. Investment \text{B}Bstart text, B, end text has a value of \$60$60dollar sign, 60 at the end of the first year and increases by \$3$3dollar sign, 3 per year. Nina checks the value of her investments once a year, at the end of the year. What is the first year in which Nina sees that investment \text{A}Astart text, A, end text's value exceeded investment \text{B}Bstart text, B, end text's value

6 years

Explanation:

Future value of investment A :

The formula for calculating future value:

FV = P (1 + r)^n

FV = Future value  

P = Present value  

R = interest rate  

N = number of years

Future value of investment B : 60 + (3 x number of years)

In year I, future value of :

Investment A = 50(1.08) = 54

Investment B = 60 + 3 = 63

in year 1, the value of investment B exceeds that of investment A

In year 2, future value of :

Investment A = 50(1.08^2) = 58.32

Investment B = 60 +( 3 x 2)  = 66

In year 2, the value of investment B exceeds that of investment A

In year 3, future value of :

Investment A = 50(1.08^3) = 62.99

Investment B = 60 +( 3 x 3)  =69

In year 3, the value of investment B exceeds that of investment A

In year 4, future value of :

Investment A = 50(1.08^4) = 68.02

Investment B = 60 +( 3 x 4)  =72

In year 4, the value of investment B exceeds that of investment A

In year 5, future value of :

Investment A = 50(1.08^5) = 73.47

Investment B = 60 +( 3 x 5)  =75

In year 5, the value of investment B exceeds that of investment A

In year 6, future value of :

Investment A = 50(1.08^6) = 79.34

Investment B = 60 +( 3 x 6)  = 78

In year 6, the value of investment A exceeds that of investment B

b. a single paragraph.

a paragraph is a series of sentences that are organized and make sense, and are all related to a single topic . almost every piece of writing you do that is longer than a few sentences should be organized into paragraphs. this is because paragraphs show a reader where the subdivisions of an essay begin and end, and thus the reader see the organization of the essay into subjects in order to be able to understand its main points.