Answer:
A cookie store sells 6 varieties of cookies. It has a large supply of each kind. How many ways are there to select 15 cookies if at most 2 can be sugar cookies?
Answer:
Intial Value: f(t) = 2 , Exponential Growth
Step-by-step explanation:
To find the initial value, all we have to do is find the value of f(t) at t = 0
In this case the given equation becomes

from the law of indices we know that any number with the power 0 is equal to 1 (except 0 with the power 0)

hence the above equation becomes

so the initial value is 2.
To find out whether this is exponential growth or exponential decay we need to see whether the base value of the power t is less than 1 or greater than 1, i.e. from

is
> 1 or
< 1
if the value is greater, then with each increment in power, the total value will increase while if it is less than 1 then with each increment in power the total value will decrease.
Hence since
> 1 then this is an exponential growth
Using the quadratic formula, plug a=2, b=3, and c=4 into the formula because the equation given can not be factored.
x= -3(+/-) radical (3^2-4*2*2)/2(2)
therefore, x= (-3+ radical 7 i) / 4
x= (-3- radical 7 i )/ 4.
the answer choice is 1.
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It is 4.69 days or 112 hours
Answer:
writing this down numerically gives us
3x+2=5x-1
(x-the number)
to solve...
add 1 to each side
3x+3=5x
subtract 3x from each side
3=2x
2x=3
divide by 2 to get x
x=3/2
x=1.5