Jennifer makes keychains and sells them online. She makes a profit if $3.00 per key chain but she has to pay $5.00 to PayPal for
2 answers:
<u>Answer:</u>
number of key chains Jennifer needs to sell > 123.3
<u>Step-by-step explanation:</u>
We are given that Jennifer makes key chains and sells them online with a profit of $3.00 per key chain and has to pay $5.00 to PayPal for using the app.
We need to find out how many key chains Jennifer needs to sell to make a profit of at least $375.
Firstly, we will subtract $5 from $375 so we are left with $370.
Then we will divide $370 by 3 to get:
or
Therefore, number of key chains Jennifer needs to sell > 123.3.
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The equation gives the height of the ball. That is, h is the height of the ball. t is the time. Since we are looking for the time at which the height is 8 (h=8), we need to set the equation equal to 8 and solve for t. We do this as follows:
This is a quadratic equation and as it is set equal to 0 we can solve it using the quadratic formula. That formula is:
You might recall seeing this as "x=..." but since our equation is in terms of t we use "t-=..."
In order to use the formula we need to identify a, b and c.
a = the coefficient (number in front of)
= 16.
b = the coefficient of t = -60
c = the constant (the number that is by itself) = 7
Substituting these into the quadratic formula gives us:
As we have "plus minus" (this is usually written in symbols with a plus sign over a minus sign) we split the equation in two and obtain:
and
So the height is 8 feet at t = 3.63 and t=.12
It should make sense that there are two times. The ball goes up, reaches it's highest height and then comes back down. As such the height will be 8 at some point on the way up and also at some point on the way down.
This is a quadratic equation and as it is set equal to 0 we can solve it using the quadratic formula. That formula is:
You might recall seeing this as "x=..." but since our equation is in terms of t we use "t-=..."
In order to use the formula we need to identify a, b and c.
a = the coefficient (number in front of)
b = the coefficient of t = -60
c = the constant (the number that is by itself) = 7
Substituting these into the quadratic formula gives us:
As we have "plus minus" (this is usually written in symbols with a plus sign over a minus sign) we split the equation in two and obtain:
and
So the height is 8 feet at t = 3.63 and t=.12
It should make sense that there are two times. The ball goes up, reaches it's highest height and then comes back down. As such the height will be 8 at some point on the way up and also at some point on the way down.
Answer:
A)
B) 89.157 million tons.
C) In year 2017.
Step-by-step explanation:
We have been given that world poultry production was 77.2 million tons in the year 2004 and increasing at a continuous rate of 1.6% per year.
A). We know that a continuous growth function is in form , where,
a = Initial value,
k = Growth rate in decimal form.
Upon substituting our given values, we will get:
Therefore, our required function would be , where, P represents world poultry production, in million tons, as a function of the number of years, t, since 2004.
B) To find the world poultry production in the year 2013, we will substitute in above formula as:
Therefore, the world poultry production in the year 2013 would be 89.157 million tons.
C) To find the number of years it will take for world poultry production to be over 95 million tons, we will equate our function with 95 as:
Divide both sides by 77.2:
Take natural log of both sides:
Divide both sides by 0.016:
Therefore, 13 years after in 2017 world poultry production goes over 95 million tons.