Compound interest means that the interest earned each year is added to the principal meaning that future interest is earned from the original amount + past interest.
In this case, it is NOT compounded meaning that we just have to find how much interested is earned in a year and multiply it by 5 years.
8% of $460 is 460*0.08 = 36.8
36.8*5 = 184
The answer is C) $184.00
Answer:
By a quick online search, i found two tape diagrams:
13) You: -
Friend: - -
So you have one block, and your friend has two.
We know that you work for 3 hours, this means that your only block must represent 3 hours.
And all the blocks represent the same amount of time, then each one of the two blocks of your friend also represents 3 hours.
Then in total, he tutored for 3 hours + 3 hours = 6 hours.
14) You: -
Friend: - - - - -
In this case, you still have only one block, but now your friend has 5.
Using the same reasoning as above, we can conclude that each block represents 3 hours, and your friend has 5 of them, this means that he tutored for:
5*3 hours = 15 hours
Answer:
x^2 + -2 sqrt(7) x + 7
Step-by-step explanation:
Expand the following:
(x - sqrt(7))^2
(x - sqrt(7)) (x - sqrt(7)) = (x) (x) + (x) (-sqrt(7)) + (-sqrt(7)) (x) + (-sqrt(7)) (-sqrt(7)):
x x - sqrt(7) x - sqrt(7) x - (-sqrt(7) sqrt(7))
(-1)^2 = 1:
x x - sqrt(7) x - sqrt(7) x + (sqrt(7))^2
x x = x^2:
x^2 - sqrt(7) x - sqrt(7) x + sqrt(7)^2
Cancel exponents. (sqrt(7))^2 = 7:
x^2 - sqrt(7) x - sqrt(7) x + 7
Combining like terms, sqrt(7) x (-1) + sqrt(7) x (-1) = -2 sqrt(7) x:
Answer: x^2 + -2 sqrt(7) x + 7
Y = 4x - 9 and y = x-3 so the two right sides (4x-9 and x-3) must be equal
4x-9 = x-3
Let's solve for x
4x-9 = x-3
4x-9+9 = x-3+9 ... add 9 to both sides
4x = x+6
4x-x = x+6-x ... subtract x from both sides
3x = 6
3x/3 = 6/3 ... divide both sides by 3
x = 2
If x = 2, then y is...
y = 4*x - 9 = 4*2-9 = 8-9 = -1
which can also be found by
y = x-3 = 2-3 = -1
So overall x = 2 and y = -1
We have the ordered pair (x,y) = (2,-1)
Answer:
Width of the room = 5 meters
Step-by-step explanation:
the rectangular living room is calculated as length * width
The area is given to be equal to 40 sq. meters (area = 40 sq. meters)
Let the width = x meters
Length = X+3 meters
Area = Length * Width
40 = X * (X+3)
40 = X^2 + 3X
We solve this quadratic equation
So x = 5 or x= -8
Width cannot be negative, so we reject x =-8
So x = 5 is the answer
