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
10-
15 + 15 = 30
11 + 11 = 22
30 + 22 = 52
52 + 9 = 61
11-
11 + 10 + 16 = 37
Answer: Your answer will be B)
Step-by-step explanation: Since both terms are perfect cubes, we can factor using the sum of cubes formula which is a^3 + b^3 = (a + b)(a^2 - ab + b^2) where a = 5x and b = 3y^6. Our factored equation would look like 4(5x + 3y^6)(25x^2 - 15xy^6 + 9y^12) with the factors being 4, (5x + 3y^6), and (25x^2 - 15xy^6 + 9y^12)
-5x-16=9x+x-1 First, you want to combine like terms on each side.
-5x-16=10x-1 Then, you want to cancel out alike terms.
+5x +5x
-16=15x-1 Continue...
+1 +1
-15=15x Divide each side by the number in front of x to get x alone.
----- -----
15 15
x=-1
Answer:
105 × 95
(100+5) × (100-5)
(100)² - (5)²
10000 -25
9975
Step-by-step explanation:
