Answer:
(a) A = 700×1.015^t
(b) 36.2 years
Step-by-step explanation:
(a) Each year, the account value is multiplied by (1 + 1.5%) = 1.015. Repeated multiplication is signified using an exponent. In t years, when the account has been multiplied by 1.015 t times, the account value will be ...
A = $700×1.015^t
__
(b) You want to find t when A=$1200. Logarithms are involved.
1200 = 700×1.015^t . . . . use 1200 for A
1200/700 = 1.015^t . . . . . divide by 700
log(12/7) = t×log(1.015) . . . . . take logarithms
log(12/7)/log(1.015) = t ≈ 36.2 . . . . divide by the coefficient of t
It will take about 36.2 years for the account balance to reach $1200.
8 because 18+14 =32 then divide 32 by 2. Then 18-14= 4 then multiply that by 2 and you get 8. 16 -8 = 8
Answer:
8
Step-by-step explanation:
He made 80 and 72 were sold
Answer:
126 apples
Step-by-step explanation:
Let the number of apples picked by Mary=m
Cindy picks 6 times as many as Mary= 6Xm=6m
John picks 8 times as many as Mary= 8Xm=8m
Altogether they picked a total of 135 apples.
m+6m+8m=135
15m=135
m=135/15
m=9
We want to determine how many apples John and Cindy Picked.
John Picked 6m apples
Cindy Picked 8m apples
Their combined total= 6m+8m =14m
Since m=9
14m =14 X9 =126 apples
John and Cindy picked a total of 126 apples