LCD is least common denominator. So looking at the denominators, their factors are...
First term x^2 - 5x + 4 = (x - )( x - ). We know this because the 4 (c term)is + so both signs are the same, and both are NEGATIVE because 5 (b term) is -
= (x - 4)(x - 1) because(-1)(-4) = 4 (c term) and -1 + -4 = -5 (b term)
Answer:
<u>I will take around 1 year and 8 months to earn $ 45 of interest on this investment</u>
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Interest earned = $ 45
Investment = $ 790
Annual simple interest rate = 3.4% = 0.034
2. How much time would it take to earn $45?
Let's recall the formula for calculating the simple interest of an investment:
A = P * (1 + rt)
Replacing with the values we already have:
835 = 790 + (1 + 0.034t).
Where t is the time we want to calculate
835 = 790 + 26.86t
26.86t = 835 - 790
26.86t = 45
t = 1.68 (Rounding to the next hundredth)
<u>t ≅ 1 year and 8 months</u>
Answer:
The equations y=10x+250 and y=20x represent the situation.
Step-by-step explanation:
Given that:
Cost to rent the park = $250
Cost per person for t-shirt and snack = $10
Cost of participation = $20
y = cost
x = number of people
Cost for the organization;
y = 10x + 250
Amount generated from people's participation
y = 20x
Hence,
The equations y=10x+250 and y=20x represent the situation.
Answer:
Surface Area = 157 in^2
Step-by-step explanation:
Surface area is the area of each side added together.
Front = Trapezoid = <u>b1 + b2</u> * h <u> 5 + 9 </u> * 5 = 27.5
2 2
Back = Trapezoid = <u>b1 + b2</u> * h <u> 5 + 9 </u> * 5 = 27.5 27.5
2 2 27.5
Right = Rectangle = l * w 6.4 * 5 = 32 32
Left = Rectangle = l * w 5 * 5 = 25 25
Bottom = Rectangle = l * w 9 * 5 = 45 45
Top = Rectangle = l * w 5 * 5 = 25 <u> 25 </u>
157 in^2
Answer:
40
Step-by-step explanation:
it's 8+8+8+7+9 so it's gonna be 40