Answer:
x = 10
Step-by-step explanation:
You can try the answers to see which works. (The first one does.)
Or, you can solve for the variable:
Divide by 75
... (1/5)^(x/5) = 3/75 = 1/25
Recognize that 25 = 5^2, so ...
... (1/5)^(x/5) = (1/5)^2
Equating exponents, you have
... x/5 = 2
... x = 10 . . . . . multiply by 5
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You can also start by taking logarithms:
... log(75) +(x/5)log(1/5) = log(3)
... (x/5)log(1/5) = log(3) -log(75) = log(3/75) = log(1/25) . . . . simplify the log
... x/5 = log(1/25)/log(1/5) = 2 . . . . . simplify (or evaluate) the log expression
... x = 10 . . . . . multiply by 5
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"Equating exponents" is essentially the same as taking logarithms.
Answers:
a. -80
b. -60
c. 98
d. -54
Answer:
78 quarters
Step-by-step explanation:
I think because, I created an equation, 5x = 390 and solves to get 78
Multiply $30 by 0.15 to find the amount discounted:
30x0.15=$4.50
Now subtract 4.5 from 30 to find the final cost of the bat.
30-4.5= $25.50
<span>Without any radio advertising, the weekly profit would be about $1600.</span>
