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
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(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.
Answer: 173.3 feet
Step-by-step explanation:
9514 1404 393
Answer:
30 hours
Step-by-step explanation:
The relation between time, speed, and distance is ...
time = distance/speed
time = (15 km)/(0.5 km/h) = 30 h
It takes 30 hours for the lava to reach the sea.
Answer:
1. is 0.9 or 9/10. 2. is 43/36 or 1.19