Harry’s dog weighs 2 7/8 pounds what is his weight in decimal form

Determine what type of model best fits the given situation:

lyudmila [28]

Let value intially be = P

Then it is decreased by 20 %.

So 20% of P = $\frac{20}{100} \times P = 0.2P$

So after 1 year value is decreased by 0.2P

so value after 1 year will be = P - 0.2P (as its decreased so we will subtract 0.2P from original value P) = 0.8P-------------------------------------(1)

Similarly for 2nd year, this value 0.8P will again be decreased by 20 %

so 20% of 0.8P = $\frac{20}{100} \times 0.8P = (0.2)(0.8P)$

So after 2 years value is decreased by (0.2)(0.8P)

so value after 2 years will be = 0.8P - 0.2(0.8P)

taking 0.8P common out we get 0.8P(1-0.2)

= 0.8P(0.8)

$=P(0.8)^{2}$ -------------------------(2)

Similarly after 3 years, this value $P(0.8)^{2}$ will again be decreased by 20 %

so 20% of $P(0.8)^{2} \frac{20}{100} \times P(0.8)^{2} = (0.2)P(0.8)^{2}$

So after 3 years value is decreased by $(0.2)P(0.8)^{2}$

so value after 3 years will be = $P(0.8)^{2} - (0.2)P(0.8)^{2}$

taking $P(0.8)^{2}$ common out we get $P(0.8)^{2}(1-0.2)$

$P(0.8)^{2}(0.8)$

$P(0.8)^{3}$ -----------------------(3)

so from (1), (2), (3) we can see the following pattern

value after 1 year is P(0.8) or $P(0.8)^{1}$

value after 2 years is $P(0.8)^{2}$

value after 3 years is $P(0.8)^{3}$

so value after x years will be $P(0.8)^{x}$ ( whatever is the year, that is raised to power on 0.8)

So function is best described by exponential model

$y = P(0.8)^{x}$ where y is the value after x years

so thats the final answer

3 0

3 years ago

If I am in Vermont, then I am in the North.

raketka [301]

The correct answer is D.

This is because a converse statement switches the places of the hypothesis and conclusion.

6 0

3 years ago

-7/8 - (-h) = -7/12<br> solve for h<br> pls show work

Westkost [7]

Answer:

The answer is 7/24.

Step-by-step explanation:

I attached a picture, but I'll try to walk through it here.

1) A negative and a negative makes a positive, so h becomes positive.

2) I added 7/8 to both sides, in order to "isolate the variable", which simply means to get h by itself, on one side of the equation (you'll likely hear it said both ways).

3) I multiplied 7/8 by 3/3, and multiplied -7/12 by 2/2. This is known as a common denominator, which in this case is 24. You can only add and subtract fractions that have a common denominator.

4) Multiply both of the fractions to get 21/24 + (-14/24). "Adding a negative" is the same thing as subtracting.

5) 21 - 14 = 7, and since our denominators are the same, the answer is 7/24.

You can confirm the answer by substituting, or "plugging" 7/24 into your original equation, in place of h.

6 0

3 years ago

Rick has 1/4 of a footlong sub left from yesterday. He ate 2/3 of the leftover sandwich as a snack. What fraction of the entire

denis-greek [22]

Answer:

1/6

Step-by-step explanation:

1/4 = .25

2/3 = .6666...

.25(.6666...) = 1.6665...

1/6 = 1.666666

1/6 is the close enough answer bc the others would def not be it

1/3 = .3333....

3/7 = .428571428571

11/12 = 9.16666...

Hope this helps dude ! ^-^

5 0

2 years ago

The area of a triangular prism is 18inches squared. We know the height is 9.5in. What is base a, b, and c?

ivanzaharov [21]

Answer: step by step calculation, formula & solved example

problem to find the area for the given values of base b, & height h of triangle in

inches (in), feet ... Learn how we & our partners collect & use data. ... (1/2) x Base

x Height substitute the values = (1/2) x 18 x 12 = 108 cm2. The area of a triangle

8 0

3 years ago