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3 years ago

What expressions are equivalent to 10^-5x10^2

Mathematics

1 answer:

Semenov [28]3 years ago

6 0

Answer:

Answer= D and E

Step-by-step explanation:

(for two powers multiplied together we add them)

$10^{-5}$ × $10^{2}$

= $10^{-5+2}$

= $10^{-3}$

this is the same as:

= $\frac{1}{10^{3} } =\frac{1}{1000}$ (as $x^{-y}$ is the same as $\frac{1}{x^{y} }$ )

$(\frac{1}{10})^{3}$ (as this is the same as $\frac{1}{10}$ × $\frac{1}{10}$ × $\frac{1}{10}$ which is equal to $\frac{1}{1000}$ the answer for the question)

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Find the measure of b

gogolik [260]

Answer:

Step-by-step explanation:

I have answered ur question

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3 years ago

Read 2 more answers

At an effective annual interest rate of i > 0, each of the following two sets of payments has present value K: (i) A payment

IgorLugansk [536]

Answer:

The present value of K is, $K=251.35$

Step-by-step explanation:

First of all, we need to construct an equation system, so

$(1)K=\frac{169}{(1+i)} +\frac{169}{(1+i)^{2}}$

$(2)K=\frac{225}{(1+i)^{2}} +\frac{225}{(1+i)^{4}}$

Then we equalize both of them so we can find $i$

$(3)\frac{169}{(1+i)} +\frac{169}{(1+i)^{2}}=\frac{225}{(1+i)^{2}} +\frac{225}{(1+i)^{4}}$

To solve it we can multiply $(3)*(1+i)^{4}$ to obtain $(1+i)^{4}*(\frac{169}{(1+i)} +\frac{169}{(1+i)^{2}}=\frac{225}{(1+i)^{2}} +\frac{225}{(1+i)^{4}})$ , then we have $225(1+i)^{2}+225=169(1+i)^{3}+169(1+i)^{2}$ .

This leads to a third-grade polynomial $169i^{3}+451i^{2}+395i-112=0$ , after computing this expression, we find only one real root $i=0.2224$ .

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3 years ago

How many ways can six kids line up in a single row to have their picture taken?

Elina [12.6K]

Slot method aka permuations
6 slots
1st slot: 6 options
2nd slot: 5 options (1 went to first slot)
3rd slot: 4
4th slot:3
5th slot:2
6th slot:1

multiply
6*5*4*3*2*1=720

720 ways

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3 years ago

What is a, the initial amount, for the function: f(x) = 300(1.16)*?

jeka94

<h3>Answer: 300</h3>

====================================================

Explanation:

One general template of exponential functions is

f(x) = a*(b)^x

The 'a' is the initial amount, which in this case is a = 300

----------------------

Extra info:

The b is the base of the exponential, which is b = 1.16

The value of b is helpful to determine if you have exponential growth or decay, and how much of either. Because b = 1.16 is greater than 1, it indicates exponential growth. The rate of growth is found by solving 1+r = 1.16 to get r = 0.16, which leads to 16% growth.

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3 years ago

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3 years ago