Answer:
Annual: $302 737.50
Continuous: $332 507.52
Step-by-step explanation:
A. Compounded annually
The formula for <em>compound interest</em> is
A = P(1 + r)ⁿ
Data:
P = $45 000
r = 10 %
t = 20 yr
Calculations:
n = 20
A = 45 000(1+ 0.10)²⁰
= 45 000 × 1.10²⁰
= 45 000 × 6.727 499 95
= $302 737.50
B. Compounded continuously
The formula for <em>continuously compounded inerest</em> is
= 45 000 × 7.389 056 61
= $332 507.52
Answer:
1/3
Step-by-step explanation:
Gradient=3/9=1/3
214.5
11x22=242
11x5/2=17.5
242-17.5=214.5
Solution:
<u>Note that:</u>
- Given inequality: 3 < x + 3 < 6
<u>Solving the inequality one by one.</u>
- 3 < x + 3
- => -3 + 3 < x
- => 0 < x
- => x + 3 < 6
- => x < 6 - 3
- => x < 3
The inequality is <u>0 < x < 3.</u>
Answer:
2 more quarts of oil is needed to fill
the engine to capacity
Step-by-step explanation:
Here, we want to calculate how many more quarts of oil is required to fill the engine to capacity
We have to convert the capacity to quarts
Mathematically, 1 gallon = 4 quarts
So 1 1/4 gallon will be 5/4 * 4 = 5 quarts
So the number of quarts needed to fill the engine to capacity will be 5 quarts - 3 quarts = 2 quarts
