Answer:
Step-by-step explanation:
<u>Given:</u>
- Investment P = $20000
- Time t = 7 years
- Interest rate r = 5.5% = 0.055
a. <u>compounded semiannually, n = 2</u>
b. <u>compounded quarterly, n = 4</u>
c. <u>compounded monthly, n = 12</u>
d. <u>compounded continuously</u>
Answer:
a ![A = 30 + 0.45 n](https://tex.z-dn.net/?f=A%20%3D%2030%20%2B%200.45%20n)
b ![A = 90.3](https://tex.z-dn.net/?f=A%20%3D%2090.3)
c 0 customers
Step-by-step explanation:
Given
![Base\ Amount = 30](https://tex.z-dn.net/?f=Base%5C%20Amount%20%3D%2030)
per customer
Solving (a): Amount (A) on n customers
This is calculated as:
![A = Base\ Amount + Rate * n](https://tex.z-dn.net/?f=A%20%3D%20Base%5C%20Amount%20%2B%20Rate%20%2A%20n)
![A = 30 + 0.45 * n](https://tex.z-dn.net/?f=A%20%3D%2030%20%2B%200.45%20%2A%20n)
![A = 30 + 0.45 n](https://tex.z-dn.net/?f=A%20%3D%2030%20%2B%200.45%20n)
Solving (b): Amount on 134 customers
In this case: n = 134
So:
![A = 30 + 0.45 * 134](https://tex.z-dn.net/?f=A%20%3D%2030%20%2B%200.45%20%2A%20134)
![A = 30 + 60.3](https://tex.z-dn.net/?f=A%20%3D%2030%20%2B%2060.3)
![A = 90.3](https://tex.z-dn.net/?f=A%20%3D%2090.3)
Solving (c): Customers at noon.
At noon, the amount is 30.
So:
![A = 30 + 0.45 n](https://tex.z-dn.net/?f=A%20%3D%2030%20%2B%200.45%20n)
![30 = 30 + 0.45n](https://tex.z-dn.net/?f=30%20%3D%2030%20%2B%200.45n)
Collect like terms
![0.45n = 30 - 30](https://tex.z-dn.net/?f=0.45n%20%3D%2030%20-%2030)
![0.45n =0](https://tex.z-dn.net/?f=0.45n%20%3D0)
![n = 0](https://tex.z-dn.net/?f=n%20%3D%200)
Answer:
3 of the DVDs were documentaries.
Step-by-step explanation:
We know that at first, there were 15 DVDs in total.
Now, we need to find how much 1/5 of 15 DVDs were equal to.
1/5 of 15 is equal to the number 3.
So, that means our answer is 3 of the DVDs are documentaries.
Hope this helps.
WidthAnswer:
Step-by-step explanation: