Answer:
The time it will take Natalie to pick the forty bushels alone is 10 hours
Step-by-step explanation:
The time it takes Kali to pick forty bushels of apples alone = 15 hours
The time it takes Kali and Natalie to pick forty bushels = 6 hours
The rate at which Kali picks bushels = 40/15 bushels per hour = 8/3 bushels per hour
Let x represents the rate at which Natalie picks bushels, we have;
8/3 × 6 + x × 6 = 40
x × 6 = 40 - 8/3 × 6 = 24
x = 24/6 = 4
Therefore;
The rate at which Natalie picks the bushels of apples = 4 bushels/hour
The time it will take Natalie to pick the forty bushels alone = (40 bushels)/(4 bushels/hour) = 10 hours.
<h3>
Answer: 164.7 square inches</h3>
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Explanation:
The area of a parallelogram is equal to the base times height
area = base*height
area = 13.5*12.2
area = 164.7
This is pretty much identical to a rectangle's area formula. This is because a rectangle is a special type of parallelogram (one with all four angles at 90 degrees).
Answer:
(B) -9
Step-by-step explanation:
g(x) = 2x² - 11x
To find g(1), we substitute x = 1 into g(x).
g(x) = 2x² - 11x
g(1) = 2(1)² - 11(1) = 2 - 11 = -9
Answer:
"To the nearest year, it would be about 9 years"
Step-by-step explanation:
11c)
This is compound growth problem. It goes by the formula:
Where
F is the future amount
P is the present (initial) amount
r is the rate of growth, in decimal
t is the time in years
Given,
P = 20,000
r = 8% = 8/100 = 0.08
F = double of initial amount = 2 * 20,000 = 40,000
We need to find t:
To solve exponentials, we can take Natural Log (Ln) of both sides:
Using the rule shown below we can simplify and solve:
We can write:
To the nearest year, that would be about 9 years
15.66 is what I got in my calculator if you turn %65 into .65
