Answer:
y = 2x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = 2, so
y = 2x + c ← is the partial equation
To find c substitute (- 3, 1) into the partial equation
1 = - 6 + c ⇒ c = 1 + 6 = 7
y = 2x + 7 ← equation in slope- intercept form
Answer:
Step-by-step explanation:
Front and back
Givens
base = 6 feet
height = 2
Formula
Area = 1/2 B * h
Area = 1/2 * 6 * 2
Area = (2) 1/2 * 12
Area = 12 square feet for both front and back
Base
The base is a rectangle. A rectangle has the formula of Area = L*w
Givens
L = 10 feet
W = 6 feet
Area = 10 * 6 = 60
Left roof
The left roof is also a rectangle. Area = L*w
Givens
L = 10 feet
W = 3 feet
Area = 3 * 10 = 30 feet^2
Right Roof
The right roof is a rectangle. Area = L*w
Givens
L = 10 feet
w = 4 feet
Area = 4 * 10 = 40 ft^2
Total area
Total Area = right roof + left roof + Base + front and back
Total Area = 40 + 30 + 60 + 12
Total Area = 142 feet ^2
Answer:
b. 3.775
Step-by-step explanation:
The question is worded incorrectly since the sum of the first 100 counting numbers is actually greater than the sum of the first 50 counting numbers.
The sum of any set of consecutive numbers of size 'n' is given by:
Where A1 is the first number on the set and An is the last number.
The sum of the first 100 counting numbers (1 through 100) is:
The sum of the first 50 counting numbers (1 through 50) is:
The difference between those two values is:
Therefore, the sum of the first 100 counting numbers is 3,775 greater than the sum of the first 50 counting numbers.
This is the formula for compounded interest.
P is the principal investment,
r is the rate (6%=0.06)
n is the number of times compounded per year (n=12 is monthly, n=2 is twice per year)
T is the number of years past
And A is the amount of money after t years with a rate r compounded n times per year staring at P amount
Final answer:
n is the number of times per year the interest is compounded.
Hope I helped, and sorry it took this long for you to get an answer.
Answer:
6400 fans will be pleased.
Step-by-step explanation:
Out of 150 fans, 120 were pleased. Assuming the same ratio, out of 8000 fans, 8000x120/150 = 6400 will be pleased.
