The management of a forestry company estimates that acres of forest available for logging will increase at a rate given by R(t) = 56/root t + 7 for 0 leq t leq 20, where R(t) is the rate of new acreage becoming available in thousands of acres per year, t years after the current year. How many acres of forest, Q(t), will become available for logging over the first five years? A. 46 thousand acres.
B. 148 thousand acres.
C. 296 thousand acres.
D. 92 thousand acres.

Step-by-step explanation:

If the acres of forest available for logging will increase at a rate given by

R(t) = 56/√t + 7

In order to determine the acre of forest that become available after 5 years, we will substitute t = 5 into the formula.

R(5) = 56/√5 + 7

R(5) = 56/2.236 + 7

R(5) = 25.044 + 7

R(5) =  32.044

The amount that will be available over the first five years is 32 thousand acres

the third picture

step-by-step explanation:

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.