He price of a computer component at the QRCC bookstore is decreasing at a rate of 2.25% per year. Decide whether this decrease is linear or exponential.
Answers
Answer:
The decrease is exponential.
Step-by-step explanation:
An exponential decrease is something like:
f(x) = A*(r)^x with 0 < r < 1
A linear decrease is something like:
g(x) = -a*x + b with a > 0
First ai general formula.
If you have a quantity Q, decreased by an X%, the new quantity will be:
New Quantity = Q - Q*(X%/100%)
Now let's look at the question:
Suppose that the original price of the computer component is K
And the price as a function of the year is P(y)
Then we know that, in the year zero, the price is K.
P(0) = K
One year after, the price decreases by 2.25%
Then:
P(1) = K - K*(2.25%/100%) = K*(1 - 0.0225)
After another year, we will have another decrease of 2.25%
Then:
P(2) = K*(1 - 0.0225) - K*(1 - 0.0225)*(2.25%/100%)
P(2) = K*(1 - 0.0225)*(1 - 0.0225) = K*(1 - 0.0225)^2
We already can see the pattern, we can expect that in the year y, the price of the component will be:
P(y) = K*(1 - 0.0225)^y
This clearly is an exponential decrease.
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This school sent 16 boys.
The ratio of the number of boys it sent to the number of girls it sent was 1 : 2
The other 4 schools sent only girls.
Each of the 5 schools sent the same number of students.
Work out the total number of students sent to the conference by these 5 schools.
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The ratio of boys to girls in school A is 1:2. Therefore:
Solving for x in that equation gives us 32 girls. Therefore, School A sent 48 kids in all.
School B - E have the same numbers. Therefore, the number of students sent to the conference is
Hope that helped!
~Cam943, Moderator
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I don't know hot to explain it :D
If you need more help message me so you don't use your points!
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For a parabola
refine:
Plug in x = -1 to find the y value :
refine :
Therefore the parabola vertex is :
if a < 0 , then the vertex is a maximum value
if a > 0, then then vertex is a minimum value
a=3
Therefore
hope this helps!
Answers
answer 1 is : 144
Answer2:21.60
Answer:
144 and 21.60
Step-by-step explanation: