D is the correct answer to the equation.
The answer is 100 degrees Celsius.
Part A:
Let the length of one of the sides of the rectangle be L, then the length of the other side is obtained as follow.
Let the length of the other side be x, then
Thus, if the length of one of the side is x, the length of the other side is 8 - L.
Hence, the area of the rectangle in terms of L is given by
Part B:
To find the domain of A
Recall that the domain of a function is the set of values which can be assumed by the independent variable. In this case, the domain is the set of values that L can take.
Notice that the length of a side of a rectangle cannot be negative or 0, thus L cannot be 8 as 8 - 8 = 0 or any number greater than 8.
Hence the domain of the area are the set of values between 0 and 8 not inclusive.
Therefore,
Answer:
$73.60
$345
simple interest = amount deposited x time x interest rate
600 + (600 x 0.055 x 5) = $765
600 + (600 x 0.055 x 5) > $2000
$765 $2000
He would not have $2000 in 5 years
Step-by-step explanation:
Total cost of items purchased = $75 + (2 x $8.50) = 92
If there is a 20% discount, he would pay (100 - 20%) 80% of the total cost =
0.8 x $92 = $73.60
commission earned = percentage commission x amount of sales
10% x $3450
= 0.1 x 3450 = 345
Amount he would have in his account = amount deposited + simple interest
simple interest = amount deposited x time x interest rate
600 x 0.055 x 5 = $165
Amount in his account in 5 years = $165 + 600 = $765
He would have less than $2000 in his account. he would have $765
Answer:
y = 5^x
Step-by-step explanation:
y= b*(a)^x + c
c could = 1 but then you would not have an exponential function. c = 0 because the graph follows the x axis up until x = -2. Suppose c = 1. The the graph would follow y = 1 up until x = - 2
When x = 0, y = 1 which means that b. If b is anything but 0 or 1 then the y intercept would be stretched to a different place. If be = 0 then y would = 0.
So the graph is of the form y = a^x
Now when x = 0 the graph, the y intercept is y = a^0 or y = 1 So the y intercept is (0,1)
Now the next point is thing to solve for is a.
When x = 1, y = 5 (read the graph)
y = a^x
5 = a^1
5 = a because a^1 is a.
Answer
y = 5^x.
5 = a^1