Answer: $151377.5 should be invested.
Step-by-step explanation:
The formula for continuously compounded interest is
A = P x e (r x t)
Where
A represents the future value of the investment after t years.
P represents the present value or initial amount invested
r represents the interest rate
t represents the time in years for which the investment was made.
e is the mathematical constant approximated as 2.7183.
From the information given,
A = $300000
r = 3.8% = 3.8/100 = 0.038
t = 18 years
Therefore,
300000 = P x 2.7183^(0.038 x 18)
300000 = P x 2.7183^(0.684)
300000 = 1.9818P
P = 300000/1.9818
P = $151377.5
David uses 2 cups of Apple juice for every 1 cup of cranberry juice.
Answer:
there is nothing there
Step-by-step explanation:
Answer:
We conclude that:
- The number of people who ordered the chicken dinner = 1
- The number of people who ordered the steak dinner = 5
Step-by-step explanation:
Given that
- Some order the chicken dinner for $14
- some order the steak dinner for $17.
- Let 'n' be the number of people who ordered the chicken dinner.
- Let '6-n' be the number of people who ordered the steak dinner.
Thus, the equation becomes
Divide both sides by -3
and
Therefore, we conclude that:
- The number of people who ordered the chicken dinner = 1
- The number of people who ordered the steak dinner = 5
24987.2 meters cubed.
Step-by-step explanation:
A Hemisphere is 1/2 of a sphere, so let's find the volume of a sphere and then cut it in half.
The volume of a sphere is V= (4/3)πr3
The diameter is double the size of the radius, so we can find r, the radius, by dividing the diameter,
45.7m, by 2. So r = 22.85 meters
so the volume of the sphere is (4/3)π(22.85 meters)3, which is 49974.35787 meters cubed.
Since we're actually looking for the Hemisphere, we can divide this volume in half to get the volume of the hemisphere as 24987.17894 meters cubed.
And because the answer must be to 1/10th of a cubic meter, that means we only want one decimal point. So we round to 24987.2 meters cubed.
