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Paladinen [302]
3 years ago
9

Allison plays basketball and last season she made a total of 87 shots (two- or three- point shots). Her points total was 191. Ho

w many three-points shots did she make
Mathematics
1 answer:
yarga [219]3 years ago
4 0

Answer:

17

Step-by-step explanation:

Let the number of 2 point shots be t.

Let the number of 3 point shots be h.

Allison made 87 shots and scored 191 total points. This implies two things:

t + h = 87 ________(1)

2t + 3h = 191 ______(2)

Let us eliminate t by multiplying (1) by 2 and subtracting from (2):

=> 2t + 3h = 191

 -  <u>2t + 2h = 174</u>

     <u>          h  = 17 </u>

<u />

Therefore, she made 17 three point shots.

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A town has 5000 people in year t = 0. Calculate how long it takes for the population P to double once, twice, and three times, a
UNO [17]

Answer:

Step-by-step explanation:

At the time t = 0, population of the town = 5000

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By plugging in the values in the equation,

10000 = 5000 + 500t

500t = 10000 - 5000

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Population will be = 10000×2 = 20000

Now we plug in the values in the equation again

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t = \frac{15000}{500}

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Population of the town = 20000×2 = 40000

Now we plug in the values in the equation,

40000 = 5000 + 500t

500t = 40000 - 5000

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t = \frac{35000}{500}

t = 70 years

b). If the population growth is 5%.

Then the growth will be exponential represented by

T_{n}=T_{0}(1+\frac{r}{100})^{t}

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T_{0} = Initial population

t = time in years

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Population after t years = 10000

10000=5000(1+\frac{5}{100})^{t}

(1.05)^{t}=\frac{10000}{5000}

(1.05)^{t}=2

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log(1.05)^{t}=log2

tlog(1.05) = log2

t = \frac{log2}{log1.05}

t = 14.20 years

For double twice,

Population after t years = 20000

20000=5000(1+\frac{5}{100})^{t}

(1.05)^{t}=\frac{20000}{5000}

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Take log on both the sides

log(1.05)^{t}=log4

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Population after t years = 40000

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(1.05)^{t}=\frac{40000}{5000}

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Take log on both the sides

log(1.05)^{t}=log8

tlog(1.05) = log8

t = \frac{log8}{log1.05}

t = 42.620 years

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Answer:

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