Answer:
![u = 8.27](https://tex.z-dn.net/?f=u%20%3D%208.27)
Step-by-step explanation:
![cross \: multi pling \: you \: have](https://tex.z-dn.net/?f=cross%20%5C%3A%20multi%20pling%20%5C%3A%20you%20%5C%3A%20have)
<h3>
7×13=11U </h3><h3>
making U subject of formula you have </h3><h3>
91= 11U </h3><h2>
therefore U = 91/11= 8.97 </h2>
Answer:
B. $25,069
Step-by-step explanation:
An interest of 6% per year, compounded monthly it means that he earns 6/12% = 0.5% of what he has invested every month.
If he invests x money what he will have the first month will be :
Money = x*(1+0.005)
The next month:
Money' = Money*(1+0.005) = x *(1+0.005)(1+0.005) = x* (1+0.005)^2
Therefore in this type of interest the formula is:
Money = x*(1+r)^n
Where:
x is the money invested the first time
r is the interest
n is the number of periods
For this problem:
x = what you have to find
r = 0.005
n = 3 years (1 period is 1 month) then the period is 36 months
Money = 30000
Replacing:
30000 = x * (1+0.005)^36
x = 25,069
Answer:
a) 15 feet
b) 192 feet
Step-by-step explanation:
Please see attached picture for full solution.
In the pattern, the values are increasing by 22 each time so for the 117th term you take 57 + 22 = 79
So, 117= 79
1/5 + 1/3·x > 1/2·x - 1/4
1/3·x - 1/2·x > - 1/4 - 1/5
2/6·x - 3/6·x > - 5/20 - 4/20
- 1/6·x > - 9/20
1/6·x < 9/20
x < 54/20
x < 27/10
x < 2.7