The product of two negative numbers is positive is your answer
Answer:
see the attachment for a table
Step-by-step explanation:
A. The table is shown in the attachment. The solution to h(t) = g(t) is at a value of t that lies between 6 and 7. At t=6, h(t) > g(t). At t=7, h(t) < g(t). Since both functions are continuous, they must have equal values somewhere between t=6 and t=7. (Intermediate value theorem.)
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B. The solution means the cannon balls will have the same height at a value of t between 6 and 7.
The applicable formula is;
A = P(1+r)^nt
Where
A = Accumulate amount
P = Initial invested amount
r = Annual interest rate
n = Number of payments in a year
t = Time in years
First part of the question: Accumulated amount after 18 years
Substituting;
A = 1000(1+0.01)^12*18 = $8,578.61
Since the car costs $15,000 and the amount in the bank after 18 years is $8,578.61, Anthony wouldn't be able to afford the car.
Second part of the question: The amount which should have been deposited for Antony to afford the car after 18 years
15,000 = P (1+0.01)^12*18
15,000 = P*8.5786
P = 15,000/8.5786 = $1,748.54
Therefore, for Antony to afford the $15,000 after 18 years, the mum should have deposited $1,748.54.
Answer:
1. 228 parents
Step-by-step explanation:
I will do number 1 for you. I'll let you or someone else do the others.
Let 10x = no. of girls
5x = no. of boys
4x = no. of parents
Now, 10x + 5x + 4x = 1083
19x = 1083
x = 57
(10)(57) = 570 girls
(5)(57) = 285 boys
(4)(57) = <u>228 parents</u>
1083 total
