9514 1404 393
Answer:
a. 0.81
b. v = 28000(0.81^n)
c. 2757.36
Step-by-step explanation:
a. The growth factor is 1 more than the growth rate. Here, the growth rate is -19% (per year), so the growth factor, the multiplier, is ...
1 -0.19 = 0.81
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b. The equation sets value equal to the original value multiplied by the growth factor to the power of the number of years:
value = (original value) × (growth factor)^n
v = 28000(0.81^n)
__
c. For n=11, this is ...
v = 28000(0.81^11) ≈ 2757.36
The value of the truck after 11 years is about $2757.
First you have to convert the numbers to the same units. Either m to cm or cm to m.
To go from meters to centimeters you multiply the number by 100.
7*100=700cm
Now you have 700cm/250cm. This needs simplified
I divided each number by 50 to get 14 and 5
14cm/5cm or 14cm:5cm
Lines are perpendicular if the slope of one is the negative reciprocal of the other. In this case the slopes are -8/3 and 8/3, so while negative they are not reciprocal. So no, the two lines intersect but are not perpendicular.
A)
The formula for direct variation is written as Y = kx, where k is the proportion you need to solve for.
Y would be the amount raised and X would be the number of attendees:
100 = k5
Divide both sides by 5:
k = 100/5
k = 20
B. the constant of variation is the value of k above which is 20
C) Using the formula from A: y = kx, replace k with 20 and x with 60 and solve for y:
y = 20 * 60
y = 1200
They will raise $1,200
2. If the relationship is proportional the ratio would be a constant number. If the relationship is non proportional the ratio would vary between the different values.
Answer:
Alright so on this type of problem you just perform the operation they ask for, which in this case is subtraction.
Your first step will be to set up the problem:
f(x) - g(x)
Next you will substitute in your values:
(2x + 1) - (x2 - 7)
The easiest way to do the subtraction problems is to distribute your negative into your second set of parenthesis, so your expression would become:
2x + 1 - x2 + 7
Then combine your like terms:
2x - x2 + 8
Lastly put your expression in standard form (highest exponent to lowest)
-x2 + 2x + 8
Hope this helped!
Step-by-step explanation:
