Answer:
Use the two point formula: y-y¹/x-x¹ = y²-y¹/x²-x¹ to find the equation of a line through two given points.
Answer:
(1.0025ⁿ)² + 3.7124×(1.0025ⁿ) - 5.3124 = 0
Step-by-step explanation:
Nina will have saved the enough money to pay off the remaining balance on the loan when the functions are the same. So
f(x) = g(x)
86248 - 74248(1.0025)ⁿ = 20000(1.005)ⁿ - 20000
we sum 20000 on each side of the equation
106248 - 74248(1.0025)ⁿ = 20000(1.005)ⁿ
then we divide by 2000 each side of the equation
5.3124 - 3.7124(1.0025)ⁿ = 1.005ⁿ
the square root of 1.005 is aproximately 1.0025, so
1.005 ≈ 1.0025²
5.3124 - 3.7124(1.0025)ⁿ = (1.0025²)ⁿ
Since (1.0025²)ⁿ = 1.0025²ⁿ = (1.0025ⁿ)² we can write:
(1.0025ⁿ)² + 3.7124(1.0025ⁿ) - 5.3124 = 0
Answer:It should be 49.365
Step-by-step explanation:
Answer:
Most known one: 4 sides
Step-by-step explanation:
They are closed shapes, their sides should be straight, they are strictly 2 dimensional, and finally, all quadrilaterals have 4 sides.
The $12+8 = $20 that Nancy had before brunch on Sunday was 2/3 of the money she had before her mall trip on Saturday. Then she had $30 before going to the mall. That amount was 3/4 of her weekly allowance. Her allowance was ...
... E) $40
_____
It often works well to work problems like this backward, starting with what you know at the end of the series of transactions.
Let Nancy's allowance be represented by "a". Then
... movie cost = 1/4·a
remaining amount = a - (1/4·a) = 3/4·a
... mall expense = (1/3)·(3/4·a) = (1/4)·a
remaining amount after mall = (3/4)·a - (1/4)·a = (2/4)·a = (1/2)·a
... Sunday brunch = $12
remaining amount after brunch = (1/2)·a - $12 = $8
... 1/2·a = $20 . . . . . . add $12
... a = 2·$20 = $40 . . . . . multiply by 2
