Answer:
93 feet
Step-by-step explanation:
Let us first find the time it takes to reach the maximum height. We can do this by differentiating the height function to get velocity:
dh(t)/dt = v(t) = -32t + 72
The maximum height will occur when the velocity becomes 0. Therefore, the time it takes to reach maximum height is:
0 = -32t + 72
32t = 72
t = 72/32 = 2.25 seconds
Therefore, the maximum height of the pumpkin is:
h(2.25) = -16(2.25)^2 + 72(2.25) + 12
h(2.25) = -81 + 162 + 12
h = 93 feet
The value of the expression 585-187 is 398
<h3>How to evaluate the expression?</h3>
The difference expression is given as:
585 - 187
The first step has already been given as:
187 - 2 = 185
For the next step, we have:
585 - ___ = 400
When the above equation is completed, we have:
585 - 185 = 400
Recall that the first step is to subtract 2 from 187.
So, the next step would be:
400 - 2 = 398
Hence, the value of the expression 585-187 is 398
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Answer:
$1440.23
Step-by-step explanation:
The formula for calculating future value of a sum compounded at specified times =
FV = PV x (1 + r/m)^nm
FV = Future value
P = Present value
R = interest rate
N = number of years
m = number of compounding
$1100 x ( 1 + 0.045 /12) ^12x6 = $1440.23
If Marcy would want to have 2 bags with the equal amount of sauce from a 9.98 pound bag of sauce, then all she needs to do is to divide the total amount of sauce, which is 9.98, by 2 bags. So if she would do this, then the equation will be 9.98/2. The answer to this problem would be 4.99 pounds of sauce per bag. This makes since because 4.99 pounds (in the first bag) + 4.99 pounds (in the second bag) will make up 9.98 pounds which is the total amount of sauce Marcy has.
That answer will be 7.
Explanation:
=1-3+9
=10-3
=7
