4 years ago

Which function shows an increasing rate of growth? Please show all the works :)

Mathematics

1 answer:

MariettaO [177]4 years ago

5 0

Answer:

$\text{2.}\quad h(x)=99(1.05)^x$

Step-by-step explanation:

An increasing rate of growth can be achieved by a polynomial function of degree greater than 1, or by an exponential function with a base value greater than 1.

The only function that matches either description is the exponential function ...

$h(x)=99(1.05)^x$

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2 years ago

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3 years ago

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kipiarov [429]

Given:

$\log_{a}(3) = 0.477,\log_{a}(5) = 0.699$

To find:

The value of $\log_{a}(0.6)$ .

Solution:

We need to find the value of:

$\log_{a}(0.6)$

It can be written as

$\log_{a}(0.6)=\log_a\left(\dfrac{6}{10}\right)$

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$\log_{a}(0.6)=\log_a(3)-\log_a(5)$ $[\because \log \dfrac{a}{b}=\log a-\log b]$

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$\log_{a}(0.6)=0.477-0.699$

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