Answer:
7. -
a. 3.5 or 7/2 hours
b. 24.5
c. After 7 hours (and at the beginning when t=0)
8. -
a. 4 seconds
b. 1 second
c. 54 meters
Step-by-step explanation:
7. M(t)=-2t^2+14t
M’(t)=-4t+14
a)
-4t+14=0
4t=14
2t=7
t=7/2
b) M(7/2)=24.5
c)
M(t)=0
-2t^2+14t=0
t^2-7t=0
t(t-7)=0
t=0, 7
8.
a)
h(t)=0
-6t^2+12t+48=0
t^2-2t-8=0
(t-4)(t+2)=0
t=-2, 4
t=4
b)
h(t)=-6t^2+12t+48
h’(t)=-12t+12
h’(t)=0
-12t+12=0
12t=12
t=1
c) h(1)=54
I hope this helps; please vote brainliest!
Answer:
250 miles
Step-by-step explanation:
Your formula is d=r(t)
d=distance r=speed t=time
In this equation it is asking you how far will you travel if your speed is 50 miles per hour, and the time is 5 hours.
So, using the equation above insert the known numbers and it should look like this: d=50(5) ( distance is unknown / speed is 50 / time is 5 )
Now you can find the distance. All you do is multiply 50 times 5 which equals 250.
So the correct answer is C. 250 miles
The amount in the account after the given time if compounded semiannually is $1104.2
<h3>Compound interest </h3>
Interest is any amount added on a sum of money over a period of time. The formula for calculating the compound interest is:
A = P(1+r/n)^nt
Given
P = $1000
rate r = 0.05
time =3years
n = 2
Substitute
A = 1000(1 + 0.05/3)^3(2)
A= 1000(1.1042)
A = $1104.2
Hence the amount in the account after the given time if compounded semianually is $1104.2
Learn more on compound interest here: brainly.com/question/24924853
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Answer:
Soil bacteria convert nitrogen gas into ammonia, nitrites, and then nitrates. Nitrates are then absorbed by producers.
Step-by-step explanation:
.
You can make purchases even when you don't have cash
hope this helps
