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Lerok [7]
3 years ago
8

A rectangular folder has a perimeter of 30 inches and an area of 54 square inches. What are the dimensions of the folder?

Mathematics
1 answer:
-Dominant- [34]3 years ago
3 0
We know, perimeter = 2(l + w)
So, 2(l + w) = 30
2l + 2w = 30
Divide the equation 2, 
l + w = 15

Now, Area = l * w
l * w = 54

Substitute the value of l from previous equation, 
(15-w) * w = 54
15w - w² = 54
w² - 15w + 54 = 0
w² - 6w - 9w + 54 = 0
w(w - 6) -9(w - 6) = 0
(w-6)(w-9) = 0
w = 6 or 9

In short, Your Dimensions would be: 6 × 9 in

Hope this helps!
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How do you solve this problem <br> 7= ln(x+5)
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Answer:

x = 1091.63315843
<span>
Setting Up:

7 = ln ( x + 5 )

ln translates to "log" with an "e" as the base or subscript ( a small "e" at the bottom right of the "g" in log).

You take the base of the log and put it to the power of "7" ( "7" is the natural log of ( x + 5 ) in this problem ).

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e^7 = x + 5

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A school production sold 480 tickets, including 325 tickets to adults. The rest were sold to
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4. If your company purchases an annuity that will pay $50,000/year for 10 years at a 11% discount rate, what is the value of the
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Answer:

The value of the annuity is $326,852.3766.

Step-by-step explanation:

Here is the required formula to find the present value of annuity:

We can find the present value of annuity:

PV = P + P (\frac{1-(1+r)^{-(n-1)} }{r})

Here:

            P = $50,000

            n = represents the number of number of periods

            r = 0.11

PV = 50,000 + 50,5000 (\frac{1-(1+0.11)^{-(10-1)} }{0.11})

PV = $326,852.3766

The value of the annuity is $326,852.3766 i.e. PV = $326,852.3766.

Keywords: discount rate,  present value of annuity

Learn more about present value of annuity from brainly.com/question/13218793

#learnwithBrainly

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