Answer:
$34.30
Step-by-step explanation:
He pays 7 percent to health insurance.
7 percent of 490 is 34.30. (490 x 0.07)
ALSO: question 1 answer is actually $298.90
Answer:
total profit gained = 20%
Step-by-step explanation:
profit = SP - CP = 18 - 15 = 3 naira
total profit percentage =
- ( profit / CP ) × 100
- 3 / 15 × 100
- 20%
hence her total percentage gain was 20%
Answer:
g(x) = (5x + 3)/ x - 7
Step-by-step explanation:
Let g(x) = y
y = (7x + 3)/x - 5
Make x the subject
xy - 5y = 7x + 3
xy - 7x = 5y + 3
x(y - 7) = 5y + 3
x = (5y + 3)/ y - 7
Therefore, the inverse of the function = (5x + 3)/ x - 7
Answer:
6 * p ≤ 30
p ≤ 5
The maximum number of pies she can buy is 5
Step-by-step explanation:
Let p equal the number of pies she will buy
Each pie costs 6 dollars. She will spend 6 * p
The cost must be less than or equal to 30 dollars
6 * p ≤ 30
To solve divide each side by 6
6 * p/6 ≤ 30/6
p ≤ 5
Answer:
Step-by-step explanation:
We have the function:
![h(x)=f[f(x)]](https://tex.z-dn.net/?f=h%28x%29%3Df%5Bf%28x%29%5D)
And we want to find:
So, we will differentiate function <em>h</em>. By the chain rule, this yields:
![h^\prime(x)=f^\prime[f(x)]\cdot f^\prime(x)](https://tex.z-dn.net/?f=h%5E%5Cprime%28x%29%3Df%5E%5Cprime%5Bf%28x%29%5D%5Ccdot%20f%5E%5Cprime%28x%29)
Then it follows that:
![h^\prime(1)=f^\prime[f(1)]\cdot f^\prime(1)](https://tex.z-dn.net/?f=h%5E%5Cprime%281%29%3Df%5E%5Cprime%5Bf%281%29%5D%5Ccdot%20f%5E%5Cprime%281%29)
Using the table, we acquire:
And using the table again, we acquire:
Evaluate. Hence:
