A plumber charges a base fee of $60, and then each hour of work costs $15. Yesterday Joe hired the plumber to fix his sink, at a
1 answer:
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Multiply 520 students by 20% (0.20).
520 * 0.20 = 104
Multiply 104 students by 12.5% (0.125).
104 * 0.125 = 13
13 students were on the wrestling team.
dimes (d) = n + .80, nickels (n) = n
Make the dimes and nickels add up to $1.40 in an equation.
(n + .80) + n = 1.40
Combine like terms.
2n + .80 = 1.40
Subtract .80 from both sides.
2n = 0.60
Divide both sides by 2.
n = 0.30
Divide this by 0.05 (how many nickels are in a dollar).
0.30/0.05 = 6
d = n + 0.80 ⇒ 0.30 + 0.80 = 1.10
Divide this by 0.10 (how many dimes are in a dollar).
1.10/0.10 = 11
There are 6 nickels and 11 dimes in the bank.
Answer:
Step-by-step explanation:
We have been given two functions as and
. We are asked to show that both functions are inverse of each other algebraically and graphically.
Let us find inverse function of as:
Interchange x and y values:
Using log property , we will get:
Using log definition; If , then
, we will get:
Therefore, we can see that function is inverse of function
.
We can see that both functions are symmetric about line , therefore, both functions are inverse of each other.
