A tennis player strikes a tennis ball from underneath her racket. The ball is sent up with a velocity of 20 m/s. how highly will
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Answer:
The value of the quantity after 87 months will be of 599.64.
Step-by-step explanation:
A quantity with an initial value of 600 decays exponentially at a rate of 0.05% every 6 years.
This means that the quantity, after t periods of 6 years, is given by:
What is the value of the quantity after 87 months, to the nearest hundredth?
6 years = 6*12 = 72 months
So 87 months is 87/72 = 1.2083 periods of 6 years. So we have to find Q(1.2083).
The value of the quantity after 87 months will be of 599.64.
<u>Understanding:</u>
The sum of a geometric series is, , with a being the start point and r is the common ratio. We can also use the following formula to make life easier
, a is your start point, r is the common ratio, and n is the number of terms, which in our case is S7.
<u>Solution:</u>
Our start point is 1, ,
The common ratio is 5, ,
And finally, the number of terms is 7, .
The answer is [A] 19531.