Use the rules of logarithms and the rules of exponents.
... ln(ab) = ln(a) + ln(b)
... e^ln(a) = a
... (a^b)·(a^c) = a^(b+c)
_____
1) Use the second rule and take the antilog.
... e^ln(x) = x = e^(5.6 + ln(7.5))
... x = (e^5.6)·(e^ln(7.5)) . . . . . . use the rule of exponents
... x = 7.5·e^5.6 . . . . . . . . . . . . use the second rule of logarithms
... x ≈ 2028.2 . . . . . . . . . . . . . use your calculator (could do this after the 1st step)
2) Similar to the previous problem, except base-10 logs are involved.
... x = 10^(5.6 -log(7.5)) . . . . . take the antilog. Could evaluate now.
... = (1/7.5)·10^5.6 . . . . . . . . . . of course, 10^(-log(7.5)) = 7.5^-1 = 1/7.5
... x ≈ 53,080.96
Answer:
Step-by-step explanation:
<em>Original question is attached</em>
<h3>Option 1</h3>
- C(x) = 25x + 50
- C(8) = 25*8 + 50 = $250
<h3>Option 2</h3>
- As per table, the rate of change is $30 per 2 hours.
- So 8 hours will cost
- $190 + $30 = $220
As we see the second option is cheaper so we should hire the Master Remodeling
TOTAL IS $10
If the party costs $5 and each additional person is $1 and she invites 5 more 5 X 1 = 5
OR 1 + 1 + 1 + 1 + 1
7.5 is already in decimal form.
Answer:
Make -3 a fraction
Step-by-step explanation:
3/4 x -3
3/4 x -3/1
3/4 x -12/4
-72/4 = 18
