Answer:
Step-by-step explanation:Show the steps on how you got the ansewer.
We have to calculate a monthly annuity.
Total = Monthly Amount * [(1 + rate)^(n + 1) -1] / [rate] - Monthly Amount
where "n" is the number of compounding periods per year.
and n = 4.5*12 = 54
rate = rate/n = .055 / 12 =
<span>
<span>
<span>
0.0045833333
</span>
</span>
</span>
Total = 100 * [(1<span>.0045833333)^55 -1] / [</span><span><span><span>
<span>
0.0045833333
</span>
</span>] -100
</span>
</span>Total = 100 * <span><span><span>0.2859624157
/ </span>
</span>
</span>
[<span><span>
0.0045833333
</span>] -100
</span>Total = <span>28.59624157 / </span>[<span>
0.0045833333
] -100
</span>Total =
<span>
<span>
<span>
6,239.18 -100</span>
</span></span>Total =
6,139.18
Source:
http://1728.org/annuity3.htm formula
http://1728.org/annuitym.htm calculator
Answer:
24 teaspoons of red paint would be needed.
Step-by-step explanation:
Given that the initial mixture contains 8 teaspoons of red paint and 12 teaspoons of blue paint, this mixture contains a total of 20 units of paint, of which 8 are red, that is, 8 out of 20. Therefore, the proportion of red paint is 40%, while the proportion of blue paint is 60% remaining.
Therefore, in the case of making the same mixture (with the same proportion) using 36 teaspoons of blue paint, the necessary amount of red paint is determined through the following calculation:
60 = 36
40 = X
((40 x 36) / 60) = X
1,440 = 60 = X
24 = X
Thus, 24 teaspoons of red paint would be needed.
Answer:
y = -3x + 5
Step-by-step explanation:
y = -3x + b
-1 = -3(2) + b
-1 = -6 + b
5 = b
Answer:
times 0.4
Step-by-step explanation:
The recursive formula allows a term in the sequence by multiplying the previous term by the common ratio r
Here
r =
=
= 0.4
Thus the recursive formula is
c(n) = c(n - 1) × 0.4 → with c(1) = 500 ← the first term in the sequence