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Tomtit [17]
3 years ago
6

Pietro made 20 baskets during a basketball game. the number of 3 point shots was two more than half the number of 2 point shots

how many of each type of shot did he make how many total points did he get
Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
4 0
To answer this item, we let x be the number of 2-point shot made by Pietro. With this representation, the number of 3-point shots made was 0.5x + 2. Adding the two expression is supposed to give us 20. Then, the answer would be,
                                        x + (0.5x + 2) = 20
The value of x is 12. Therefore, Pietro made 12 2-point shots and 8 3-point shots. 
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So for this case the answer would be 13.347 years, the population will be 28.3 million and ye year would be 2000+13.347 and that would be approximately in 2014

Step-by-step explanation:

For this case we assume the following model:

A(t)= 23.1 e^{0.0152 t}

Where t is the number of years after 2000/

Part a

For this case we want the population for 2000 and on this case the value of t=0 since we have 0 years after 2000. If we rpelace into the model we got:

A(t=0)= 23.1 e^{0.0152(0)}=23.1e^0 =23.1

So then the initial population at year 2000 is 23.1 million of people.

Part b

For this case we want to find the time t whn the population is 28.3 million.

So we need to solve this equation:

28.3= 23.1 e^{0.0152(t)}

We can divide both sides by 23.1 and we got:

\frac{28.3}{23.1}= e^{0.0152t}

Now we can apply natural log on both sides and we got:

ln(\frac{28.3}{23.1})= 0.0152 t

And then for t we got:

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So for this case the answer would be 13.347 years, the population will be 28.3 million and ye year would be 2000+13.347 and that would be approximately in 2014

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