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Mathematics

2 answers:

romanna [79]3 years ago

8 0

<h2>Question 1:</h2>

T(-4) = -(-4) - 2

-(-4) - 2 = <em><u>2</u></em>

nataly862011 [7]3 years ago

3 0

To evaluate a function at a given input, you have to substitute every occurrence of the variable with that particular value.

So, for the first function, you have

$T(x) = -x-2 \implies T(-4) = -(-4)-2 = 4-2 = 2$

The name of the variable is obviously irrelelvant, so the same goes for the second function:

$w(x) = 14-6x \implies w(-3) = 14-6\cdot(-3) = 14 + 18 = 32$

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Find the rate of interest required to achieve the conditions set forth:

yanalaym [24]

The Formula for the compound interest is:

$A=P(1+ \frac{r}{n})^{n*t}$

A = Amount Accumulated = $5000
P = Principal Amount = $1250
n = compound period in a year = 4
r = Interest Rate
t = Time in years = 12

Using the values in the formula, we get:

$5000=1250(1+ \frac{r}{4})^{4*12} \\ \\ 
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4=(1+0.25r)^{48} \\ \\ 
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0.25r=0.0293 \\ \\ 
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$

Thus, in order to achieve the given conditions, 11.72% interest rate is required.

3 0

3 years ago

An order for an automobile can specify either an automatic or a standard transmission, either with or without air conditioning,

Shalnov [3]

Answer:

Attached file describes the set of 16 possible orders for this experiment

Step-by-step explanation:

<em>Please see attached file for tree diagram</em>

We have to build a tree diagram to represent this solution.

At level 1 we have 2 options: automatic transmission or standard transmission

At level 2, each of the 2 level-1 options split into 2 new options: with air conditioning and without air conditioning. Therefore, at this level, we have 2 x 2 = 4 options.

And, at level 3, each of the 4 level-2 options split into 4 new color options: red, blue, black or white. Therefore, at this final level, we have 4 x 4 = 16 possible orders

Please see the attached tree diagram for a better description of this set of 16 possible orders

Download pdf

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sveta [45]

I think D is the answer beacuse all A,B, and C are incorrect.

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