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3 years ago

(3) The equation that represents graph (b) is _____

Mathematics

1 answer:

patriot [66]3 years ago

7 0

The graph is a graph of an exponential function passing through point (-1, 2). i.e. 2 = a^-1 = 1/a which implies that a = 1/2. Hence, the equation that represents graph (b) is y = (1/2)^x

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What is the greatest decimal in hundredths that can be rounded to 14.5? What is the least

olga55 [171]

Answer:

14.45 and 14.54

Step-by-step explanation:

Rule for rounding:

Round up if number is between 5 and 9
Round down if number is between 0 and 4

What numbers in hundredths can be rounded to 14.5?

14.45 to 14.49

and

14.50 to 14.54

From above we see that:

The greatest decimal is 14.54
The least decimal is 14.45

7 0

3 years ago

Average rate of change

Nana76 [90]

The average rate of change has a relationship with slopes. In this way, we can write the slope of a line as follows:

$Slope=\frac{Change \ y}{Change \ x}$

To find the Average Rate of Change (ARC), we need to compute the following:

$ARC=\frac{s_{2}-s_{1}}{y_{2}-y_{1}}=slope \\ \\ where: \\ \\ s_{2}: Number \ of \ students \ in \ 2011 \\ s_{1}: Number \ of \ students \ in \ 2001 \\ \\ y_{2}: Year \ 2011 \\ y_{1}: Year \ 2001$

So:

$ARC=\frac{305-775}{2011-2001}=-47$

As you can see we have a negative sign. This means that the enrollment at the college has been decreasing at a rate of 47 students per year.

8 0

3 years ago

Slope of (-3, 1) (3, -1)

grigory [225]

Answer:

Undefined

Explanation:

The slope is undefined because when you apply the slope formula to find the slope of m it turns out undefined.

8 0

3 years ago

An amount of 45,000 is borrowed for 12 years at 4.25% interest, compounded annually. If the loan is paid in full at the end of t

alukav5142 [94]

Answer:

The answer to your question is $79,749, to the nearest dollar.

Step-by-step explanation:

45 thousand dollars at 4.5 percent compounded annually for 13 years?

After one year the loan would accrue 4.5% interest, which is 0.045 times $45,000 dollars. Added to the base ($45000) this is (1 + 0.045)* $45,000, or $47,025. (Just over two thousand dollars interest.)

After two years we do this again with the new base, so it is $47,025 times (1.045), or $45,000 times (1.045) times (1.045) which can be written:

45000(1.045)2=49141.125 dollars.

You can see where this is going, I hope. After the thirteenth year we get:

45000(1.045)13≏79,748.8243759089 dollars.

7 0

3 years ago

A snowstorm began at noon, and snow had fallen at a constant rate per hour. If the depth of the snow was 21 inches at 5 o’clock

Anna007 [38]

Answer:

Anywayd dont delete my answer no more

Step-by-step explanation:

5 0

3 years ago