Answer:the anewer is
Step-by-step explanation:
54.4 dollars
Answer:
$9.638.3; 21.67 years
Step-by-step explanation:
P=principal=$7,000
r=rate=6.5%=0.065
n=2(semiannually)
t=5 years
A=p(1+r/n)^nt
=$7,000(1+0.065/2)^2×5
=$7,000(1+0.0325)^10
=$7,000(1.0325)^10
=$7,000(1.3769)
=$9,638.3
How long will it take for the investment to quadruple
That means 4 times
4×$7000=$28,000
A=p(1+r/n)^nt
$28,000=$7,000(1+0.065/2)^2t
$28,000=$7,000(1+0.0325)^2t
$28,000=$7,000(1.0325)^2t
Divide both sides by $7,000
4=(1.0325)^2t
Take the log10 of both sides
log4=2t × log1.0325
0.60206=2t×0.01389
0.60206=t×2×0.01389
0.60206=0.02778t
t=0.60206/0.02778
t=21.67 years
Answer:
The crop yield decreased by 0.09 pounds per acre from year 1 to year 10
Step-by-step explanation:
The function that models the crops in pounds per acre over x years is
In year 1, the crop yield is
In year 10, the crop yield is
The average rate of change from year 1 to year 10 is given by:
We substitute the values to get:
Since the average rate of change is positive, the crop yield decreased by 0.09 pounds per acre from year 1 to year 10.