Answer:
The account balance after 4 years will be $2,420.
Explanation:
First we need to add Bob and Judy's amount to find the total amount that will be deposited. (1260+975)=2,235.
Now we will break up the annual interest into monthly interest because it will be compounded monthly. 2/12=0.166.
Then we will break up the 4 years into months also because the interest is compounded monthly. 4*12=48
Now we use the formula for compound interest
Final amount = Principal*(1+R)^N
Principal = 2,235
R= 0.166% or 0.00166
N= 48
We put these values into our formula
2,235*(1+0.00166)^48
=2,420
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Answer:
p = 59.11 dollars
Explanation:
Given
Price: p(x) = 8eˣ (0 ≤ x ≤ 2)
Revenue; R = x*p = 8xeˣ
p = ? when R be at maximum
We can apply
dR/dx = d(x*p)/dx = 0
⇒ d(8xeˣ)/dx = 8*(1*eˣ + x*eˣ) = 0
⇒ eˣ*(1 + x) = 0 ⇒ x = - 1
as x = - 1 ∉ [0, 2]
then, we have
p(0) = 8e⁰ = 8
R = 0*8 = 0
If x = 1
p(1) = 8e¹ ≈ 21.74
R = 1*21.74 = 21.74
If x = 2
p(2) = 8e² ≈ 59.11
R = 2*59.11 = 118.22
Implies that, R(x) is maximum at x = 2.
Thus, the price that maximize the revenue of the company is 59.11 dollars.
Answer:
$1200
Explanation:
Gross Domestic Product (GDP) is the total market value of all of the final goods and services produced in a country over a particular period of time.
The contribution to GDP can be determined by adding the value created by each of the economic agents involved in the creation of the final goods and services
Arthur = 100 = 100
Bob = 300 - 100 = 200
Camille = 700 -300 = 400
Donita = 1200 - 700 = 500
Total Value 100 +200 +400 +500 = $1200.
You will observe that it is the same as the value of the final good i.e dress. In the production process, other goods involved are referred as intermediate goods
