The numbers as powers of 5 are 5^-1, 5^-2, 5^-3 and 5^0
<h3>How to rewrite the numbers as a power of 5?</h3>
The numbers are given as:
• 0.2
• 0.04
• 125^-1
• 15^0
<u>Number 1: 0.2</u>
Express as fraction
1/5
Apply the power rule of indices
5^-1
<u>Number 2: 0.04</u>
Express as fraction
1/25
Express 25 as 5^2
1/5^2
Apply the power rule of indices
5^-2
<u>Number 3: 125^-1</u>
Express as fraction
1/125
Express 125 as 5^3
1/5^3
Apply the power rule of indices
5^-3
<u>Number 4: 15^0</u>
Evaluate the exponent
15^0 = 1
Express 1 as 5^0
15^0 = 5^0
Hence, the numbers as a power of 5 are 5^-1, 5^-2, 5^-3 and 5^0
Read more about exponents at
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Answer:
P(10) = 26237[1 + 0.024]^10
Step-by-step explanation:
From the information given :
Initial population, P0 = 26, 237
Annual growth rate, r = 2.4%
Number of Years, n = 10
The general exponential growth relation is give as :
P(x) = P0(1 + r)^n
Where ;
P(x) = population after x years
P0 = Initial population
r = growth rate
n = number of years
P(10) = 26237[1 + 0.024]^10
3 + 1.75m
This represents 1.75 per mile plus a one time 3 charge.
Another way this can be written is
(1.75m + 6) - 3
This is a less efficient way, but represents the same. It is 1.75 per mile, this is plus 6, therefore we add the -3 outside the parenthesis so it evens out to +3 as the base charge.
Example: Lets say its 3 miles.
3 + 1.75 (3) = 8.25
(1.75 (3) + 6) - 3 = 8.25
