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Burka [1]
1 year ago
14

A certain forest covers an area of 2000 km2. Suppose that each year this area decreases by 4.75%. What will the area be after 7

years?Use the calculator provided and round your answer to the nearest square kilometer.
Mathematics
1 answer:
klasskru [66]1 year ago
7 0

SOLUTION

The given area of the forest is 2000 square kilometers

The rate of decrease is given as 4.75%

The given time is 7 years

The formula for decay is

y=a(1-r)^t

Substituting values gives

y=2000(1-0.0475)^7

Solve for y

\begin{gathered} y=2000(0.7113) \\ y=1423 \end{gathered}

Therefore the new area of the forest is 1423 square meters.

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8 0
3 years ago
If the monthly electrical utility bills of all customers for the Far East Power and Light Company are known to be distributed as
Y_Kistochka [10]

Answer:

A) About $195.00

Step-by-step explanation:

In a normal distribution, the interval (mean - 3*standard deviation, mean + 3*standard deviation) account for about 99.7% of the values. In this case mean + 3*standard deviation = $87.00 + 3*$36.00 = $195.00. So, it 's expected that this amount of money would be the largest individual customer bill.

4 0
3 years ago
Write an equivalent exponential equation for the following three problems.
Naily [24]

<u>Answer with step-by-step explanation:</u>

We are given three different expressions and we are to write an equivalent exponential equation for them.

We know that the standard form of a logarithmic expression is given by:

y = log_a ( x ) which is equivalent to the exponential form  x = a ^ y.

1. log _ {10} (0.1) = -1 ---> 10^{-1}=0.1

2. log _ {3} 9 = 2 ---> 3^2=9

3. log _ 5 ( \frac { 1 } { \sqrt { 5 } } ) = -\frac { 1 } { 2 } ---> 5^{-\frac{1}{2} }=\frac{1}{\sqrt{5} }

8 0
3 years ago
f(x) = x2 – 3x – 2 is shifted 4 units right. The result is g(x). What is g(x)?g(x) = (x + 4)2 – 3x – 2 B. g(x) = (x + 4)2 – 3(x
arlik [135]

Hello from MrBillDoesMath!

Answer:

Choice C

Discussion:

We interrupt this Question by a special commercial announcement..... Consider the simpler case of f(x) = x^2. If we shifted this curve 4 units to the right, then the point x is mapped to x-4.  (f(0) = 0 on the original curve; now f(x-4) = 0 when x =4. So shifting to the right replaces x by x-4.) Now back to our regular TV programming....

Shifting f(x) = x^2 -3x - 2 four units to the right produces

g(x) = f(x-4) = (x-4)^2 -3(x-4) -2

This is choice C.

Thank you,

MrB

7 0
3 years ago
Write the explicit rule for the given the sequence: 125, 25, 5, ...
skelet666 [1.2K]

Answer:

an=a1(r)^(n-1)

a1=first erm

r=common ratio

firs term is -5

we times each term by 5 to get next term so r=5

is the explicit formula

hope this helped

4 0
3 years ago
Read 2 more answers
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