Answer: Joey is faster
Step-by-step explanation: Because in 1 hour Joey is run 4 mile but in 1 hour Chandler is run 2 mile
Answer:
Step-by-step explanation:
Let the rent be x
<u>Discounted rent </u>
<u>Increase applied</u>
<u>Final rent:</u>
- (x - 50) + 10% = (x - 50)*1.1
<u>We know this is equal to x + 5% = 1.05x, comparing now</u>
- 1.1(x - 50) = 1.05x
- 1.1x - 1.05x = 55
- 0.05x = 55
- x = 55/0.05
- x = $1100
Answer:
5%
Step-by-step explanation:
The question showing a growing function that commonly used in compound interest calculation. The formula for compound interest is:
A = P (1 +r) ^ t
A= amount of the balance after a period of t
P= principal, the initial money deposit
r= rate
t= time
The percent of balance increase should be represented by the rate(r). In this equation, the principal will be 130, (1+r) will be 1.05, and time will be x.
The value of rate (r) will be:
(1+r) = 1.05
r= 1.05-1= 0.05 = 5%
Answer: Choice C) 124 square cm
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Explanation:
Let's calculate the area of the trapezoid shown
b1 and b2 are the parallel bases; h is the height of the 2D trapezoid
b1 = 2
b2 = 5
h = 1.5
A = h*(b1+b2)/2
A = 1.5*(2+5)/2
A = 1.5*7/2
A = 10.5/2
A = 5.25
The area of one 2D trapezoid is 5.25 sq cm
There are two of these trapezoids that form the base faces of the trapezoidal prism. So the total base area is 2*5.25 = 10.5 sq cm
Keep this value (10.5) in mind. We'll use it later.
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Now onto the lateral surface area (LSA)
It turns out that the formula for the LSA is
LSA = p*d
where
p = perimeter of the trapezoid shown
d = depth or height of the 3D trapezoid (I'm not using h as it was used earlier)
This formula works for any polygonal base. It doesn't have to be a trapezoid.
In this case the perimeter is,
p = 1.7+2+2.65+5
p = 11.35
So
LSA = p*d
LSA = 11.35*10
LSA = 113.5
Add this LSA to the base area found earlier
10.5+113.5 = 124
The total surface area is 124 square cm
Answer:
(9,-1)
(I assume you meant to put 3(x-4)^2=75.)