Answer:
(a) The future value after 9 years is $7142.49.
(b) The effective rate is
.
(c) The time to reach $13,000 is 21.88 years.
Step-by-step explanation:
The definition of Continuous Compounding is
If a deposit of
dollars is invested at a rate of interest
compounded continuously for
years, the compound amount is

(a) From the information given



Applying the above formula we get that

The future value after 9 years is $7142.49.
(b) The effective rate is given by

Therefore,

(c) To find the time to reach $13,000, we must solve the equation


B
the volume (V) of a sphere =
πr³
We require to know the radius r to calculate the volume
using surface area of a sphere = 4πr² = 615.752
divide both sides by 4π
r² =
= 49.0248...
take the square root of both sides
r =
≈ 7, hence
V=
× π × 7³ = 1436.76 m³ → B
Answer: 7 3/4
Step-by-step explanation:
3 1/4 + 4 2/4 = 7 3/4
If you're using 7.6 percent, then you're not using 92.4 percent (100-7.6)
To find 92.4 percent of 67.8 billion do:
67,800,000,000*.924=<span>62,647,200,000 </span>
Solving the inequality given algebraically, the solution of the inequality for the value of m is:
<u>m < -4 OR m > 3</u>
<em><u>Given the following </u></em><em><u>inequality</u></em><em><u>,</u></em>
<em><u /></em>
or
4m + 3 > 15
Let's solve algebraically for the value of m in both inequality statements given.



Or
4m + 3 > 15
- Subtract 3 from each side
4m + 3 - 3 > 15 - 3
4m > 12

m > 3
Therefore, solving the inequality given algebraically, the solution of the inequality for the value of m is:
<u>m < -4 OR m > 3</u>
<u></u>
<u></u>
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