PLEASE HELP ASAP

Mathematics

1 answer:

xxTIMURxx [149]2 years ago

6 0

Answer:

The average rate will be: -4

Hence, option A is correct.

Step-by-step explanation:

Given the interval

0 ≤ x ≤ 2

From the graph, it is clear that:

at x₁ = 0, f(x₁) = 3

at x₂ = 2, f(x₂) = -5

Using the formula to determine the average rate of change:

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]

= [-5 - 3] / [2-0]

= -8 / 2

= - 4

Therefore, the average rate will be: -4

Hence, option A is correct.

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$10,000 at an annual rate of 7%, compounded semi-annually, for 2 years

forsale [732]

Answer:

$\$13,107.96$

Step-by-step explanation:

Since interest is compounded semi-annually (half a year or 6 months), in a spawn of 2 years, the interest will have been compounded 4 times. As given in the problem, each time the interest is compounded, the new balance will be 107% or 1.07 times the amount of the old balance.

Therefore, we can set up the following equation to find the new balance after 2 years:

$\text{New balanace}=10,000\text{ (old balance)}\cdot 1.07\cdot 1.07\cdot 1.07\cdot 1.07,\\\text{New balanace}=10,000\cdot 1.07^4=\boxed{\$13,107.96}$