Answer:
x = 19
Step-by-step explanation:
Assuming all angle measures are in degrees, the sum of them is 180:
(3x +16) +(4x -15) +(2x +8) = 180
9x +9 = 180 . . . . collect terms
x + 1 = 20 . . . . . . divide by 9
x = 19 . . . . . . . . . .subtract 1
The value of x is 19.
Answer:
$5.83 in taxes.
Step-by-step explanation:
Discounted price of pants: 23.50 × (1 - 0.3) = 16.45
Discounted price of shirts: 16.25 × (1 - 0.25) = 12.1875
Discounted price of hats: 9.75 × (1 - 0.15) = 8.2875
2 pants, 3 shirts, and 1 hat: 16.45(2) + 12.1875(3) + 8.2875(1) = 77.75
Sales tax: 77.75 × 0.075 = 5.83125
Rounded to nearest cent: $5.83 in sales tax
Answer:
nonproportional
Step-by-step explanation:
x + 3
------- is definitely nonproportional. The reason for this is that the graph (a
8 straight line) does not pass through the
origin; it's offset by 3/8 unit up from the
origin.
slope = - 
calculate the slope m using the gradient formula
m= (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (- 3, 6)
m = 
= 
= -
Answer:
A) The annual multiplier was 1.0339; the annual increase was 0.0339 of the value.
B) 3.39% per year
C) $182,000
Step-by-step explanation:
A) Let's let t represent years since 1987. Then we can fill in the numbers and solve for r.
165000 = 100000(1 +r)^15
1.65^(1/15) = 1 +r . . . . . divide by 100,000; take the 15th root
1.03394855265 -1 = r ≈ 0.0339
The value was multiplied by about 1.0339 each year.
__
B) The value increased by about 3.39% per year.
__
C) S = $100,000(1.03394855265)^18 ≈ $182,000
