Answer:
Step-by-step explanation:
We have the following function
y = 12^x, and we need to find the inverse function.
To find the inverse function we should solve the equation for "x". To do so, first, we need to:
1. Take the logarithm in both sides of the equation:
lg_12 (y) = log _12 (12^x)
(Please read lg_12 as: "Logarithm with base 12")
From property of logarithm, we know that lg (a^b) = b*log(a)
Then:
lg_12 (y) = x*log _12 (12)
We also know that log _12 (12) = 1
Then:
x = log_12(y).
Then, the inverse of: y= 12^x is:
Answer:
A-B
Step-by-step explanation:
Answer:
LIMIT
The policy will pay for up to
$100,000 of damage to
another person's property.
The policy will pay only
$100 per incident for a
tow truck
DEDUCTIBLE
The policyholder must pay
the first $1,000 of repair
expenses before insurance
will pay for anything,
PREMIUM
The policy offers coverage
for a cost of $178 per month
The policyholder must
pay $500 semiannually
to the insurance provider
Step-by-step explanation:
LIMIT is the maximum amount an insurer will pay toward a covered claim
DEDUCTIBLE is the amount paid out of pocket toward a covered claim
PREMIUM is the amount paid regularly to keep the policy in force.
The initial height of the balloon is 10 feet which then increases by 70% to (10 ×1.7) = 17 feet, then to (17 × 1.7) =28.9 feet, and so fourth if the rate of increase is kept constant. Therefore, forming a geometric sequence such that to get any term in the sequence we use the formula ar∧(n-1), where a is the first term, r is the common ratio, and n is the term in the sequence. In this case a is 10 and r= 1.7 , to get the height in the fourth minute it means n =5 (for the first term there is 0 minutes, such that for 0 minutes n= 1)
Thus, 10 × 1.7 ∧ 4 = 83.521 feet.
Therefore, the answer is 83.521 feet
