3p-5<7
add 5 to both sides
3p<12
divide 3 to both sides
p<4
the second graph B
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Answer:</h2>
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Step-by-step explanation:</h2>
In this exercise we need to make a division and evaluate the new function at 
. so we have two functions, namely:
Therefore:
So:
1/4th of Mai’s height is equal to 2/5th of Jon’s height
Let 'x' represent Mai's height and 'y' represent Jon's height.
Therefore, 1/4th of "x" should be equal to 2/5th of "y". This gives us the following equation :
(1/4)x = (2/5)y
multiply both sides by 4/y
x/y = 4*(2/5)
x/y = 8/5
x:y = 8:5
The ratio of Mai's s height to Jon's height is 8 to 5
So this is how you will arrive to the answer:
The following formula models the value of a retirement account,
S = (A [ ( 1 + r ) ^ (t + 1) - 1] / r)
wherein:
A = number of dollars added to the retirement account (each year)
r = annual interest rate
s = value of the retirement account after t years
The question is:
If the interest rate is 11% then how much will the account be worth after 15 years if $2200 is added each year?
Round to the nearest whole number.
Solution:
The said formula contains the term t + 1 instead of the usual "t". Means that the formula applies only in the situation where the money is invested at the beginning of the year instead of the usual practice at the end
Given:
A = 2200
r = 0.11
t = 15
The accumulated amount:
F = A ((1 + r) ^ (t+1) - 1 / r
Substitute:
F = 2200 (1.11 ^ (15 + 1 ) - 1) /0.11
F = 86217.88664
If money is invested at the end of the year, then F = 80476.49, the difference being the investment of an extra 2200 over 15 years.
Answer:
7.21 units
Step-by-step explanation:
The shortest length needed to connect the house to the existing pipeline is the perpendicular distance between the location of the house (2,9) and the line y = 2/3x - 1.
The perpendicular distance (d) between a point (
) and the line Ax + By + C = 0 is given as:
The line is given by y = 2/3 x - 1; 2/3x - y - 1 = 0. The point = (2, 9)
hence A = 2/3, B = -1, C = -1, 
. Therefore:
