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2 years ago

The graphs of y = 3x and y = 3^x are shown below.

Mathematics

2 answers:

iren2701 [21]2 years ago

8 0

Options are not clear but y=3^x grows faster than y=3x

Bess [88]2 years ago

7 0

Answer:

The function y = 3^x is growing faster than y = 3x.

Step-by-step explanation:

The growth rate of any function is calculated by finding its limit at infinity.

So, we need to calculate the limit of the function when x approaches to infinity.

Also, As x approaches infinity the order followed by the functions according to their growth rate is :

Factorial < Exponential < Polynomial < 1

Now, the function y = 3x is polynomial and the other function y = 3^x is exponential.

So, in comparison with the above sequence : The function y = 3^x is growing faster than y = 3x.

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2 years ago

If you take out a $15,000 loan for a period of 36 months at a 5.4% annual interest rate, how much of your first monthly payment

Tems11 [23]

Answer:

The amount that will go towards the balance is 385.71.

Step-by-step explanation:

The information provided is:

P = Principal of loan = $15,000

r = interest rate = 5.4% p.a. = $\frac{0.054}{12}= 0.0045$

n = number of periods = 36

The amount of the monthly payment that will go towards the balance is:

Amount towards the balance = EMI - Interest

First compute the Equated monthly installments (EMI) as follows:

$EMI=\frac{P\times r\times (1+r)^{n}}{(1+r)^{n}-1} \\=\frac{15000\times0.0045\times(1+0.0045)^{36}}{(1+0.0045)^{36}-1} \\=\frac{79.3125}{0.175}\\=453.21$

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The amount that will go towards the balance is,

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m=motorcycles

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