Answer:
see explanation
Step-by-step explanation:
The tangent segments are equal so you set them equal to each other and solve.
7) 3x-6 = x + 10 8) 4x + 2 = 2x + 8
The 2 is in the tenths place, therefore we look at the number after to determine what to do with it. The number after is an 8 therefore we must round the two up to a 3. Therefore the answer is 310.3
Answer:
(4, 9) and (-10, -8)
Step-by-step explanation:
Answer:
Step-by-step explanation:
A trapezoid area is a rectangle area plus one or two trianagles areas on each end
Area of a trapezoid =( base 1 x height) + ((1/2)(base 2 - base 1) x height)
solve for height
factor out the height
Area = height [ base 1 + 1/2(base 2 - base 1)]
divide both sides by [ base 1 + 1/2(base 2 - base 1)]
Area / [(base 1 + 1/2(base 2 - base 1)] = height
plug and chug
68 / ( 7 + (1/2)(27 - 7) = height
height = 68 / (7 + (1/2)(20))
= 68 / 17
= 4 ft <-------------- FINAL ANSWER
Answer:
Amount borrowed from friend = 4000
From Bank = 8000
From insurance = 3200
Step-by-step explanation:
Given that:
Amount borrowed = $15200
Let amount borrowed from friend = x
x at 5% = 0.05x
From Bank = 2x at 8% = 0.08*2x = 0.16x
From insurance = 15200 - (x + 2x) at 4%
From insurance = 15200 - 3x at 4% ; (15200 - 3x)* 0.04 = 608 - 0.12x
Interest paid in first year = $968
Simple interest = principal * rate * time
968 =
968 = (0.05x + 0.16x + 608 - 0.12x)
968 - 608 = 0.05x + 0.16x - 0.12x
360 = 0.09x
x = 360 / 0.09
x = 4000
Hence,
Amount borrowed from friend = 4000
From Bank = 2x = 4000 * 2 = 8000
From insurance = 15200 - (4000 + 8000) = 3200