Answer:
Step-by-step explanation:
Well to find the answer you have to see wheather or not the two smaller numbers add to get the bigger number
Answer:
X= 6i
Step-by-step explanation:
We have the following equation:
y^3 - 3y^2 + X - 1 = -i (1),
where X is the missing term.
So, we know that y = 1 + i. Where i = sqrt(-1).
Substituting y = 1 + i in the equation (1):
(1 + i)^3 - 3(1 + i)^2 + X - 1 = -i
(1)^3 + 3(i)(1)^2 + 3(1)(i)^2 + (i)^3 - 3(1 + 2(1)(i) + (i)^2) + X - 1 = -i
Simplifying:
1 + 3i -3i - i - 3(1 + 2i -1) + X - 1 = -i
1 - i -6i + X - 1 = -i
-i - 6i + X = -i
- 6i + X = 0
X= 6i
So the missing term is X= 6i
Answer:
Monthly deposit= $92,51
Step-by-step explanation:
Giving the following information:
<u>I will assume an interest rate of 8% compounded monthly.</u>
Tuition= $6,000 per year.
Number of periods= 2*12= 24 months
i= 0.08/12= 0.0067
Her parents will contribute 50% for his first year's tuition.
Local scholarship= $600
<u>First, we need to determine future value:</u>
Future value= (6,000/2) - 600= $2,400
<u>Now, using the following formula, we can calculate the monthly deposit:</u>
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit
Isolating A:
A= (FV*i)/{[(1+i)^n]-1}
A= (2,400*0.0067) / [(1.0067^24) - 1]
A= $92,51
220 .............................