Answer:
<u>There were 6, 9, 12 and 15 children if the number of adults at the beach were 8, 12, 16 and 20.</u>
Step-by-step explanation:
After reviewing the information given for solving the question, we notice that the ratio of adults in relation with the number of children at the beach is 4:3. In that case, for finding the number of children for every specific number of adults, we do the following calculations:
1. For 8 adults: 8/4 = 2 and using the ratio 4:3, we multiply by 2 and we get that the number of children is 6.
2. For 12 adults: 12/4 = 3 and using the ratio 4:3, we multiply by 3 and we get that the number of children is 9.
3. For 16 adults: 16/4 = 4 and using the ratio 4:3, we multiply by 4 and we get that the number of children is 12.
4. For 20 adults: 20/4 = 5 and using the ratio 4:3, we multiply by 5 and we get that the number of children is 15.
<u>There were 6, 9, 12 and 15 children if the number of adults at the beach were 8, 12, 16 and 20.</u>
Answer:
6194.84
Step-by-step explanation:
Using the formula for calculating accumulated annuity amount
F = P × ([1 + I]^N - 1 )/I
Where P is the payment amount. I is equal to the interest (discount) rate and N number of duration
For 40 years,
X = 100[(1 + i)^40 + (1 + i)^36 + · · ·+ (1 + i)^4]
=[100 × (1+i)^4 × (1 - (1 + i)^40]/1 − (1 + i)^4
For 20 years,
Y = A(20) = 100[(1+i)^20+(1+i)^16+· · ·+(1+i)^4]
Using X = 5Y (5 times the accumulated amount in the account at the ned of 20 years) and using a difference of squares on the left side gives
1 + (1 + i)^20 = 5
so (1 + i)^20 = 4
so (1 + i)^4 = 4^0.2 = 1.319508
Hence X = [100 × (1 + i)^4 × (1 − (1 + i)^40)] / 1 − (1 + i)^4
= [100×1.3195×(1−4^2)] / 1−1.3195
X = 6194.84
Answer:
The number of child tickets is 53
And adult tickets sold out is 93
Step-by-step explanation:
Let the child tickets be x
And the adult tickets be y
x+y = 146 - - - - - - - 1
x= 146-y
5.3x + 9.3y= 1145.80 - - - - - 2
We can substitute x= 146-y in equation 2
5.3(146-y) + 9.3y= 1145.80 - -- 2
773.8 - 5.3y +9.3y = 1145.80
773.8+4y= 1145.80
4y= 1145.80-773.8
4y= 372
y= 372/4
y= 93
We can now substitute y= 93 in equation 1 to find x
x+ 93= 146
x= 146-93
x= 53
Hence
The number of child tickets is 53
And adult tickets sold out is 93
Answer:
heyyyyyyyyy
Step-by-step explanation:
Free pionts thx
