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F=P+Prt
For an investment that bears simple interest, one can predict future value 
F after 
t years if the principal or initial amount invested 
P and annual interest rate 
r are known, by using the given equation. Which of the following correctly expresses the principal amount in terms of the annual rate, number of years invested, and future value?
Choose 1 answer:
(A) 
P=(F)/(1+rt)
(B) 
P=(F)/(1-rt)
(C) 
P=(F+P)/(rt)
(D) 
P=(F-P)/(rt)

F=P+Prt F=P+P r t \newlineFor an investment that bears simple interest, one can predict future value F F after t t years if the principal or initial amount invested P P and annual interest rate r r are known, by using the given equation. Which of the following correctly expresses the principal amount in terms of the annual rate, number of years invested, and future value?\newlineChoose 11 answer:\newline(A) P=F1+rt P=\frac{F}{1+r t} \newline(B) P=F1rt P=\frac{F}{1-r t} \newline(C) P=F+Prt P=\frac{F+P}{r t} \newline(D) P=FPrt P=\frac{F-P}{r t}

Full solution

Q. F=P+Prt F=P+P r t \newlineFor an investment that bears simple interest, one can predict future value F F after t t years if the principal or initial amount invested P P and annual interest rate r r are known, by using the given equation. Which of the following correctly expresses the principal amount in terms of the annual rate, number of years invested, and future value?\newlineChoose 11 answer:\newline(A) P=F1+rt P=\frac{F}{1+r t} \newline(B) P=F1rt P=\frac{F}{1-r t} \newline(C) P=F+Prt P=\frac{F+P}{r t} \newline(D) P=FPrt P=\frac{F-P}{r t}
  1. Given Formula: We are given the formula for future value FF in terms of principal PP, annual interest rate rr, and time tt in years: F=P+PrtF = P + Prt We need to solve for PP. First, we can factor out PP on the right side of the equation. F=P(1+rt)F = P(1 + rt)
  2. Factor Out P: Next, we divide both sides of the equation by (1+rt)(1 + rt) to isolate PP.P=F(1+rt)P = \frac{F}{(1 + rt)}This gives us the expression for the principal amount PP in terms of FF, rr, and tt.

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