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timama [110]
1 year ago
12

Boston, Massachusetts had a population of 617,594 people during January 1 2010, and 675,647 people on January 1 2020.

Mathematics
1 answer:
tigry1 [53]1 year ago
5 0

Answer:

  • See below

Step-by-step explanation:

<u>Exponential function is:</u>

  • y = abˣ

<u>If we consider the time difference in years as x and the initial population as a, then we get:</u>

  • 675647 = 617594*b¹⁰

<u>Find the value of b:</u>

  • b¹⁰ = 675647/617594
  • b¹⁰ = 1.09399864636
  • b = 1.09399864636^(1/10)
  • b = 1.009 (rounded)

<u>The equation we got is:</u>

  • y = 617594*1.009ˣ

Here we have y- population after x years since 2010, x - the number of years since 2010 and 1.009 is the population growth rate.

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astraxan [27]

Answer:

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Step-by-step explanation:

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8 0
2 years ago
There are 48 DVDs of comedies and dramas on the shelf. If 25% of the DVDs are comedies, how many are dramas?
Mazyrski [523]

There are 36 drama DVD's

<em><u>Solution:</u></em>

Given that there are 48 DVD's of comedies and dramas on shelf

25 % of DVD's are comedies

To find: number of drama DVD's

Total number of dvd = 48

Number of comedy dvd = 25 % of 48

Let us find 25 % of 48

\rightarrow 25 \% \text{ of } 48\\\\\rightarrow 25 \% \times 48\\\\\rightarrow \frac{25}{100} \times 48\\\\\rightarrow 0.25 \times 48 = 12

Thus, number of comedy dvd = 12

Thus we get,

number of drama DVD's = Total number of dvd - number of comedy dvd

number of drama dvd = 48 - 12 = 36

Thus there are 36 drama dvd's

4 0
3 years ago
Compute the exact interest on $5,870 at 12% if the money is borrowed from June to December of the same year.
yawa3891 [41]

Answer:

The exact interest on $5,870 at 12% is $410.9

Step-by-step explanation:

From the information provided we know that

Principal amount: $5,870

Interest rate: 12% -> 0.12

Time: 7 months (From June to December)

When you know the principal amount, the rate, and the time, the amount of interest can be calculated by using the formula:

I=P\cdot r\cdot t

where P is principal, r is the rate of interest and t is the time in years.

We need to convert the 7 months into 1 year.

7 \>months \cdot \frac{1 year}{12 months} = \frac{7}{12} year

Now we can use the above formula

I=P\cdot r\cdot t=5870\cdot 0.12 \cdot \frac{7}{12} \\I = 0.12\cdot \frac{7\cdot \:5870}{12}\\I = 0.12\cdot \frac{20545}{6}\\I = \frac{2465.4}{6}\\I = 410.9

Therefore the exact interest on $5,870 at 12% is $410.9

7 0
2 years ago
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professor190 [17]

Answer:

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Step-by-step explanation:

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