The total amount of money accrued from a principal of P dollars invested at r% simple interest for 13 years is given by P + 13 r P P + 13 r P P + 13 r P . Factor this expression.A) P ( 1 + 13 r ) P ( 1 + 13 r ) P ( 1 + 13 r ) B) 14 r P 14 r P 14 r P C) r ( P + 13 ) r ( P + 13 ) r ( P + 13 ) D) r ( 1 + 13 P ) r ( 1 + 13P) r ( 1 + 13 P ) E) P ( r + 13 ) P ( r + 13 ) P ( r + 13 )

Question

The total amount of money accrued from a principal of P dollars invested at r%  simple interest for 13 years is given by   P + 13 r P P + 13 r P P + 13 r P   . Factor this expression.A)    P ( 1 + 13 r )  P ( 1 + 13 r )  P ( 1 + 13 r )  B)    14 r P 14 r P 14 r P C)    r ( P + 13 )  r ( P + 13 )  r ( P + 13 )  D)    r ( 1 + 13 P )  r ( 1 + 13P)  r ( 1 + 13 P )  E)    P ( r + 13 )  P ( r + 13 )  P ( r + 13 )

diana prieto · Accepted Answer

Final Answer : A, Explanation :   The expression   P + 13 r P P + 13rP P + 13 r P   can be factored as follows: P ( 1 + 13 r ) P (1 + 13r) P ( 1 + 13 r ) This is the total amount of money accrued from the investment, which is equal to the principal plus the interest earned over 13 years. Therefore, the answer is choice letter A.

The total amount of money accrued from a principal of P dollars invested at r% simple interest for 13 years is given by $P + 13 r P$ . Factor this expression.

A) $P (1 + 13 r)$
B) $14 r P$
C) $r (P + 13)$
D) $r (1 + 13 P)$
E) $P (r + 13)$

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