Answer:
Check Explanation
Step-by-step explanation:
In finance, the rule of 70 estimates how long incomes take to double.
(Number of years it takes for income to
double) = 70/(annual percentage growth rate)
a) At 2.8%
N = (70/2.8) = 25.0 years
It will take 25.0 years for incomes to double.
b) At 4.6%
N = (70/4.6) = 15.2 years
It will take 15.2 years for incomes to double.
c) At 6.3%
N = (70/6.3) = 11.1 years
It will take 11.1 years for incomes to double.
d) At 7.8%
N = (70/7.8) = 9.0 years
It will take 9.0 years for incomes to double.
e) At 8.9%
N = (70/8.9) = 7.9 years
It will take 7.9 years for incomes to double.
By taking a quotient between the number of packages and the rate at which James works, we conclude that he will need 467 hours.
<h3>
how many hours will it take James to wrap 3,736 packages?</h3>
We know that James wraps at a rate of 8 packages in one hour. Then to get the time in which he can wrap a number N of packages, we need to take the quotient between N and 8.
In this case, N = 3,736.
Taking the quotient we get:
3,736/8 = 467
This means that in 467 hours he will wrap the 3,736 packages.
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Answer:
see explanation
Step-by-step explanation:
If the ratios of the 3 pairs of corresponding sides of the 2 triangles are equal , then the triangles are similar (SSS postulate )
the3 ratios of the 2 triangles , left to right are all equal to
Then the triangles are similar by the SSS postulate
the corresponding angles of similar triangles are congruent, then
∠ c = 60°
Also both triangles have 3 congruent sides and are therefore equilateral triangles with all angles equal to 60°, so
c = 60°
Answer:
Step-by-step explanation:
Convert mixed fraction to improper fraction.
Find LCM of the denominators and find equivalent fraction.
Now, subtract
LCM of 9 and 5 = 45
Step-by-step explanation:
Since we are told that 10 is a zero,
(x−10) must be a factor:
F(x)=2x3−14x2−56x−40
F(x)=(x−10) (2x2+6x+4)
F(x)=2(x−10)(x2+3x+2)
F(x)=2(x−10)(x+2)(x+1)
So the other two zeros are
x = -2 and x= −1