Part A) means that we have to find a composition of functions A and m
A(m(t))=π(9t)²=9πt²
part B)
A(m(t))=9πt²
A(m(2))=9*3.14*(2)²=113.04
Answer:
Step-by-step explanation:
9514 1404 393
Answer:
40.5 ft
Step-by-step explanation:
Solve for the time at which the balls meet, then find the corresponding height.
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The balls will meet at the height such that the two values of h are the same.
-16t^2 +56t = h = -16t^2 +156t -248
0 = 100t -248
t = 2.48
Using the first equation to find h, we have ...
h = t(-16t +56) = 2.48(-16·2.48 +56) = 40.4736
The balls meet at a height of about 40.5 feet.
Answer: the company should invest $12191 each week
Step-by-step explanation:
The amount that the company needs is $5,400,000
We would apply the periodic interest rate formula which is expressed as
P = a/[{(1+r)^n]-1}/{r(1+r)^n}]
Where
P represents the weekly payments.
a represents the amount that the company needs
r represents the rate.
n represents number of weekly payments. Therefore
a = 5,400000
There are 52 weeks in a year
r = 0.079/52 = 0.0015
n = 52 × 14 = 728
Therefore,
P = 5400000/[{(1+0.0015)^728]-1}/{0.0015(1+0.0015)^728}]
5400000/[{(1.0015)^728]-1}/{0.0015(1.0015)^728}]
P = 5400000/{2.98 -1}/[0.0015(2.98)]
P = 5400000/(1.98/0.00447)
P = 5400000/442.95
P = $12191
Answer:
21%
Step-by-step explanation:
Out of the 25 + 9 + 12 + 21 + 12 + 21 = 100 total rolls, 6 came up 21 times so the percentage is 21/100 = 21%.
I hope this helps.
Please give me brianliest!
