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Correct question :
The average speed that a tsunami (a large tidal wave) travels is represented
by the function where s is the speed (in miles per hour) that the tsunami is traveling and d is the average depth (in feet) of the wave.
a. Find the inverse of the function.
b. Find the average depth of the tsunami when the recorded speed of the wave is 250 miles per hour.
Answer:
a)
b) 312.5 ft
Step-by-step explanation:
Given:
Average speeds,
a) To find the inverse of the function.
s² = 200d
200d = s²
Therefore, inverse of the function =
b) average depth when speed is 250 miles per hour.
Average depth = d
Therefore, let's use the formula :
d = 312.5 feet
The average depth when speed is 250 miles per hour is 312.5 ft
We have been given that miss Roxanne is 25 years old and she puts 1800 dollars per quarter that returns 6% interest.
(a) We need to figure out how much will be in the account when she turns 65 years old. When she turns 65 years old, the number of years during which she made deposits would be 40. Since she made quarterly deposits. She made a total of 160 deposits. We can now figure out the final amount in the account using future value of annuity formula.
We have the values P=1800, r=6/4% = 1.5% = 0.015 and n=160.
Therefore, the amount in the account would be:
Therefore, miss Roxanne will be 1179415.39 dollars in her account when she turns 65 years old.
(b) In this part we need to figure out the total amount she deposited.
The total amount she deposited would be .
(c) We can find the interest earned by subtracting her contribution from the answer of part (a).
Interest earned =