The length of a rectangle is 3 less than twice the width. Write a function rule for the perimeter in terms of w, the width

Mathematics

2 answers:

Vlad [161]3 years ago

4 0

let's translate this word problem into math

the length (L) is (=) 3 less than (-3) twice the width (2*W).

L=-3+2W

we want to find the perimiter

the perimiter, P is P=2(L+W)

if we subsitute -3+2W for L from our first equation into our perimiter equation, we get

P=2(-3+2W+W)

P=2(-3+3W)

P=-6+6W

P=6W-6

so P(W)=6W-6 is the function of the perimiter in terms of the width

Nitella [24]3 years ago

3 0

l = 2w-3

P = 2(l+w)

substitute in for l

P = 2(2w-3 +w)

combine like terms

P = 2(3w-3)

P = 6w-6

P(w) = 6(w-1)

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a company is offering a job with a salary of $30,000 for the first year and a 5% raise each year after that. if the 5% raise con

Ber [7]

First year is 30,000.
Earn 5% raise every year.
Growth factor is 1.05 this sounds a lot like a geometric ratio.

An = A1 × r^(n-1)Sn = A1 × (1 - r^n) / (1-r)n = 40
A1 = 30,000
A40 = $30,000 * 1.05^39 = $201,142.53

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The individual yearly calculations are shown below: