In this problem, we need to find the length of an annuity. We already identified the interest rate, the PV, and the payments.
Using the PVA equation: PVA =C({1 – [1/(1 +r)t]} /r
$18,000 = $750{[1 – (1/1.019) t] / 0.019}
Then solve for t:
1/1.019t= 1 − {[($18,000)/($750)](0.019)}
1/1.019t= 0.544
1.019t= 1/(0.544) = 1.838
t= ln 2.193 / ln 1.019 = 32.34 months or 2.7 in years
Answer:
21
Explanation:
Given that:
The utility function U(x, y) = 
The budget line income is:
105=4x +3y
The equation MRTS is:

where;


and:


∴
Using the equation MRTS:



4x = 12y
x = 12y/4
x = 3y
Replacing the value of x into the budget line income, we have:
105 = 4x + 3y
105 = 4(3y) + 3y
105 = 12y + 3y
105 = 15y
y = 105/15
y = 7
Then, from x = 3y
x = 3(7)
x = 21
Thus, she will consume 21 gapefruits
Answer:
c. a long-term liability.
Explanation:
Short term liabilities are those liabilities which need to be paid within one year time and Long term liabilities are those liabilities which need to be paid after one year time.
In this question on December 31, Howard Corporation need to pay the principal in 19 years from now, as it it a long period, so amount of principal will be classified as a long-term liability.
Art Projects
Have you ever made a collage as a group, or painted a wall for a community project. Whenever you do something like that you are given a certain piece to do. This is division. When divided the workload becomes easy and light and when working together side by side, you are learning valuable people skills.