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DENIUS [597]
3 years ago
9

Cedric purchased a new refrigerator and stove at Home Depot for $3,729 on a deferred payment plan with no down

Mathematics
1 answer:
lesya [120]3 years ago
8 0

Answer:

correct option is d. $242.81

Step-by-step explanation:

given data  

APR = 25.5% = \frac{25.5}{12}     = 2.125  

paid = $3,729

solution

we get here finance charge on the 1st month by multiplying 3,729 and now adding it to existing balance

so we get finance charge for the second and third months similarly as

APR ÷ 100 = \frac{2.125 }{100}  = 0.02125

so 1st  

= $3,729 × 0.02125  

= 79.25  

and  

$3,729  + $79.25 = $3808.24  

so for next  

= $3808.24 × 0.02125  

= 80.93

and  

$3808.24  + $80.93 = $3889.17  

so for next  

= $3889.17  × 0.02125  

= 82.64  

and  

$3889.17 + $ 82.64  = $3971.81

so  

finance charge =  3971.81 - 3729  

finance charge = 242.81  

so correct option is d. $242.81

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Answer:

1)

Minimum is a 4th Degree

2)

Positive; Even

3)

x=-4, -1\text{ Odd Multiplicity}\\x=3\text{ Even Multiplicity}

Step-by-step explanation:

Part 1)

The minimum degree of our function will be 4.

Looking at the graph, we know that the graph crosses the x-axis at -4 and -1. Since it <em>crosses through</em> the x-axis at these two points, these two factors must have an odd multiplicity.

So, it can be anything 1, 3, 5, 7, etc.

However, we will choose the lowest one, 1.

Next, we know that the graph <em>bounces off</em> at 3.

So, it must have an even multiplicity. In other words, 2, 4, 6, 8, etc.

We choose the lowest one, 2.

Therefore, the minimum degree of our function will be 1+1+2 or 4.

Part 2)

The degree of our polynomial is (and will always be) even. Therefore, both ends of the graph will go in the same direction.

Recall the simplest even polynomial, the parent quadratic function. When the leading coefficient is positive, both of the ends go straight up.

This applies to all polynomials with even degrees.

Therefore, since the arms of the graph is going straight up towards positive infinity, the leading coefficient of our graph must be positive.

Part 3)

This is similar to Part 1.

We can see that the graph touches the x-axis at -4, -3, and 1. So, the zeros of the function is: x=-4, -1, 3

We know that it<em> passes through</em> x=-4 \text{ and } x=-1 . So, these two factors must have an odd multiplicity.

However, since the graph <em>bounces off</em> x=3, this factor must have an even multiplicity.

And we're done!

7 0
3 years ago
It takes Natalie five hours to tar a roof. Imani can tar the same roof in ten hours. How long would it take them if they worked
tresset_1 [31]

Answer:

C. 3.33 hours

Step-by-step explanation:

Use the algebra work equation:

\frac{1}{tb} = \frac{1}{t1} + \frac{1}{t2}, where tb is the time to work together, t1 is the time it takes one person, and t2 is the time it takes the other person

Plug in the values we know:

\frac{1}{tb} = \frac{1}{5} + \frac{1}{10}

\frac{1}{tb} = \frac{4}{20} + \frac{2}{20}

\frac{1}{tb} = \frac{6}{20}

20 = 6tb

3.33 = tb

So, it would take them 3.33 hours when working together.

5 0
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Dominik [7]

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An elephant needs to drink at least 40 gallons of water each day. A drinking tank contains 4 gallons of water. The elephant has
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Answer:

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Step-by-step explanation

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6 0
3 years ago
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