In statistics, the 68–95–99.7 rule, also known as the empirical rule, is a shorthand used to remember the percentage of values that lie within a band around the mean in a normal distribution with a width of two, four and six standard deviations, respectively; more accurately, 68.27%, 95.45% and 99.73% of the values lie .
3x-4 is the answer, you have to see that if its 3 times her nieces age it would be 3x and if its four less than that it is 3x-4
#1. Step one) we set find what we can multiply by 5 to get 20, so we divide 20 by 5.
20/5 = 4
Step two) we multiply the bottom denominator (8) by 4
8x4=32
Step three) leave the top numerator the same (20) and replace (d) with 32
Answer : 20/32
#2 step one) we divide 14 by 7
14/7 = 2
Step two) divide 10 by 2
10/2=5
Step three) replace z with 5
Answer) 7/5
#3 step one) divide 24 by 8
24/8=3
Step two) divide 21 by 3
21/3 = 7
Step three) replace (x) for (7)
Answer) 7/8
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