Answer:
Initial deposit P = 4,801 (Approx.)
Step-by-step explanation:
Given:
Amount after 4 year = 5,300
Number of year = 4 year
Rate = 2.5% = 0.025
Find:
Initial deposit
Computation:
A = P[1+r]ⁿ
5,300 = P[1+0.025]⁴
5,300 = P[1.025]⁴
5,300 = P[1.1038]
Initial deposit P = 4,801 (Approx.)
There are two opposite pairs and I am not sure if this is a select all question.
But here are the following:
B) C and F are pairs. That is -4 and 4
D) A and H are pairs. That is -8 and 8
Hope this helps!
<span>88
This problem can be solved two ways. Since the ratio of each side is 3:8, you can use that ratio to calculate the length of each side of the larger triangle and then add them up to get the perimeter. Or you can realize that the perimeter will also have the ratio 3:8 and calculate the perimeter of the smaller triangle and then use the ratio to calculate the perimeter of the larger triangle. Since I'm lazy, I'll be using the second approach.
Perimeter of smaller triangle is 8 + 11 + 14 = 33 cm.
Now we can setup an equation to calculate the perimeter of the larger triangle:
33/3 = X/8
11 = X/8
88 = X
So the perimeter of the larger triangle is 88.</span>
Answer:
The total number of combinations in which the movies can be rented such that there is at least one documentary is 27589.
Step-by-step explanation:
The total movies are given as 19 mysteries +12 documentaries=19+12=31
Now the number of total combinations such that 4 movies are rented is given as 
Now the number of total combinations with no documentary is given as

So the number of combination such that at least one movie is documentary is given as
=Total Combinations-Combinations with no documentary
=31465-3876
=27589
So the total number of combinations in which the movies can be rented such that there is at least one documentary is 27589.