Answer:
12 cookies per hour.
Step-by-step explanation:
rate of change=(change in cookies)/(change in time)
We are told that change in cookies is 12 and change in time is 1, so the rate of change is 12/1=12 cookies/hour or
The answer is B) 4sqrt(2)i
<h2>
Answer:</h2>
Account B will yield more.
<h2>
Step-by-step explanation:</h2>
Savings account A and savings account B both offer APRs of 5%
But savings account A compounds interest annually, while savings account B compounds interest monthly.
Lets check which account will yield more :
<h2>
Account A.</h2>
Lets take p = 10,000
r = 5% or 0.05
n = 1
t = 1
Compound interest formula is :
Substituting values in formula;
= $10500
<h2>
Account B:</h2>
Lets take p = 10,000
r = 5% or 0.05
n = 12
t = 1
Compound interest formula is :
Substituting values in formula;
= $10510
We can see that account B gives more yield as compared to account A. When an account is compounded monthly, we earn interest on interest. This is why we yield more.
Therefore, account B will yield more.
Answer with explanation:
Let the length of rectangular fence = x meters
Let the width of the rectangular fence = y meters
Thus
Now Let the total cost to construct the fence be 'C' can be obtained if we construct the shorter side with material with cost $12 per foot
Using value of x from the equation i into equation ii we get
hence to minimize the cost we differentiate both sides with respect to 'y' and equate the result to zero thus we get
Thus
Thus value of length = 11.114 feet and value of width = 18.894 feet.
The unknown side lengths are
Large triangle 10
Medium triangle 2
Small triangle 12/5 or 2.4
Step-by-step explanation:
EFD to ABC is 0.4 or 2/5
EFD to GHI is 0.24 or 6/25
ABC to GHI is 0.6 or 6/10