Answer:
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
$12000 cash
This means that 
Compounded at 4% interest annually.
This means that 
What equation will calculate the value in x years?
Answer:
The probability that a customer’s order will not be met during a month is 1.67.
Step-by-step explanation:
Given : A warehouse distributor of carpet keeps 6,000 yards of deluxe shag carpet in stock during a month. The average demand for carpet from the stores that purchase from the distributor is 4,500 yards per month, with a standard deviation of 900 yards.
To find : What is the probability that a customer’s order will not be met during a month?
Solution :
Average Mean 
Sample Mean 
Standard deviation 
The formula is given by,
Substitute the value in the formula,
The probability that a customer’s order will not be met during a month is 1.67.
Step-by-step explanation:
The domain is x. The range is y (or in this case F(x)).
Plug in the numbers in the number set to get a number set for your y.
When the domain is -2:
f(-2) = 2(-2) + 4
f(-2) = -4 + 4
f(-2) = 0
When the domain is -2, the range is 0.
(-2 , 0)
When the domain is 0:
f(0) = 2(0) + 4
f(0) = 0 + 4
f(0) = 4
When the domain is 0, the range is 4.
(0 , 4)
When the domain is 3:
f(3) = 2(3) + 4
f(3) = 6 + 4
f(3) = 10
When the domain is 3, the range is 10.
(3 , 10)
Answer:
Both angles have a measure of 134degrees, y = 27degrees.
Step-by-step explanation:
As per what is given in the problem:
There are 2 parallel lines, both are intersected by a transversal.
Remember the theorem, when two parallel lines are intersected by a transversal, then the alternate exterior angles are congruent.
The is meanse that:
3y + 53 = 7y - 55
Solve using inverse operations:
3y + 53 = 7y - 55
+55 +55
3y + 108 = 7y
-3y -3y
108 = 4y
/4 /4
27 = y
Now, substitute back in to find the value of the angle:
3y + 53
y = 27
3 ( 27 ) + 53
81 + 53
= 134
Since the angles are alternate exterior, they are congruent, hence both angles have a measure of 134degrees.
The function for conversions from Fahrenheit to Celsius is:
Celsius = (Fahrenheit - 32) x 5/9
C(76.1) = (76.1 - 32) x 5/9
= (44.1) x 5/9
= 24.5
Therefore, 76.1 degrees Fahrenheit = 24.5 degrees Celsius.
