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bezimeni [28]
2 years ago
12

the number of state parks in california is 36 more than one third the number of state parks in florida. there are 85 state parks

in california. which of the following equations would you use to find the number of state parks in florida? note: f represents the number of state parks in florida. 3(f − 36) = 85 1 over 3f 36 = 85 quantity f minus 36 all over 3 equals 85 quantity f plus 36 all over 3 equals 85
Mathematics
1 answer:
lukranit [14]2 years ago
7 0
85 = 36 +  \frac{1}{3} f
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Sunny_sXe [5.5K]

Answer:

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b) Wind capacity will pass 600 gigawatts during the year 2018

Step-by-step explanation:

The world wind energy generating capacity can be modeled by the following function

W(t) = W(0)(1+r)^{t}

In which W(t) is the wind energy generating capacity in t years after 2014, W(0) is the capacity in 2014 and r is the growth rate, as a decimal.

371 gigawatts by the end of 2014 and has been increasing at a continuous rate of approximately 16.8%.

This means that

W(0) = 371, r = 0.168

(a) Give a formula for W , in gigawatts, as a function of time, t , in years since the end of 2014 . W= gigawatts

W(t) = W(0)(1+r)^{t}

W(t) = 371(1+0.168)^{t}

W(t) = 371(1.168)^{t}

(b) When is wind capacity predicted to pass 600 gigawatts? Wind capacity will pass 600 gigawatts during the year?

This is t years after the end of 2014, in which t found when W(t) = 600. So

W(t) = 371(1.168)^{t}

600 = 371(1.168)^{t}

(1.168)^{t} = \frac{600}{371}

(1.168)^{t} = 1.61725

We have that:

\log{a^{t}} = t\log{a}

So we apply log to both sides of the equality

\log{(1.168)^{t}} = \log{1.61725}

t\log{1.168} = 0.2088

0.0674t = 0.2088

t = \frac{0.2088}{0.0674}

t = 3.1

It will happen 3.1 years after the end of 2014, so during the year of 2018.

7 0
2 years ago
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Answer:

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Step-by-step explanation:

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Now

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The price of a sandwich is £2.5 and the price of a croissant is £2

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