Answer:
rule: f(n) = n³
missing numbers: 125, 216, 343, 512, 729
Step-by-step explanation:
Your familiarity with the cubes of small integers helps you recognize each of these numbers is a cube. Their sequence is the sequence of cubes of increasing natural numbers.
1 = 1·1·1 = 1³
8 = 2·2·2 = 2³
27 = 3·3·3 = 3³
64 = 4·4·4 = 4³
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The rule is ...
f(n) = n³
The cubes of 5 through 9 will complete the set of numbers ...
1, 8, 27, 64, 125, 216, 343, 512, 729
Answer:
The y-intercept is the point (0,-8)
see the attached figure
Step-by-step explanation:
we have
we know that
The y-intercept is the value of the function f(x) when the value of x is equal to zero
so
For x=0
therefore
The y-intercept is the point (0,-8)
see the attached figure to better understand the problem
Using the simple interest formula, it is found that the APR for the loan is of 4.472%.
<h3>What is the simple interest formula and when it is used?</h3>Simple interest is used when there is a single compounding per time period.
The amount of money after t years in is modeled by:
In which:
The parameters for this problem are:
A(t) = 6 x 511.18 = 3067.08, A(0) = 3000, t = 0.5.
We solve the equation for r to find the APR.
1 + 0.5r = 1.02236
r = (1.02236 - 1)/0.5
r = 0.04472.
More can be learned about simple interest at brainly.com/question/25296782
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