A=3,500×(1+0.011÷12)^(12×4)
A=3,657.36
Interest earned
=3657.36-3500=157.36
Answer:
2/4
Step-by-step explanation:
Given:
The expression: (1 + x)^n
The Binomial Theorem is used to predict the products of a binomial raised to a certain power, n, without multiplying the terms one by one.
The following formula is used:
(a + b)^n = nCk * a^(n-k) * b^k
we have (1 +x)^n,
where a = 1
b = x
let n = 4
First term, k = 1
4C1 = 4
first term: 4*(1^(4-1))*x^1
Therefore, the first term is 4x. Do the same for the next three terms.
2nd term: k =2
3rd term: k = 3
4th term: k = 4
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The given function f(x) is:

And the other given function g(x) is:

g(x) in comparison with f(x) has the next transformation:
1. g(x)=f(bx): g(x)=3(0.1x)+5. This is a horizontal stretch: the x-coordinates will change as:

This is the graph of both functions:
The red-one is f(x) and the blue-one is g(x).
Then for example when the coordinates of f(x) are (1,8) for g(x) the coordinates will be:

Then, the slope of f(x) has a greater value than the slope of g(x), since the change on the x-axis is bigger in the g(x) graph for the.