Answer:
<h2>
$31,745</h2>
Step-by-step explanation:
Compound continuously:
FVn = PV x e^rn
where
PV = $20,000
r = 3.85%
n = 12 years
plugin values into the formula:
FV₁₂ = $20,000 x e ⁰°⁰³⁸⁵ ⁽¹²⁾
FV₁₂ = $31,745
Answer:
B. -7j-k-1
Step-by-step explanation:
Simplify:
1. IDENTIFY LIKE TERMS
<em>10k</em>+17-7j-18-<em>11k</em>
- <em>10k and -11k are like terms since they have the same variable.</em>
- 17 and -18 are like terms since they are regular numbers.
2. COMBINE LIKE TERMS
-7j-<em>k</em>-1
Answer: 267.947 (or 267.95) inches^3
Step-by-step explanation:
The formula for the volume of a sphere is
.
To find your radius (r), divide the diameter of 8 inches by 2. <em>The radius is 4 inches.</em>
Plug in your numbers to the volume equation to get
. The first step is to cube 4 (4*4*4) to get <em>64</em>. Now your equation is
.
Multiply 3.14 and 64 to get <em>200.96</em>. The equation is now
or
.
Multiply the numerators (4 * 200.96) and denominators (1 * 3) to get a final equation of
.
Finally, divide 803.84 by 3 to get the final answer of 267.947 in^3.