In recent years, the number of people in a certain country who are 100 years old or older can be estimated by the function

Mathematics

1 answer:

krek1111 [17]2 years ago

7 0

Answer:

See below for answers

Step-by-step explanation:

(a) Substitute t=2015 into the function:

p(t) = 1.32t - 2589.6

p(2015) = 1.32(2015) - 2589.6

p(2015) = 2659.8 - 2589.6

p(2015) = 70.2

So, there will be 70,200 people in 2015 who will be 100 years or older.

Substitute t=2025 into the function:

p(t) = 1.32t - 2589.6

p(2025) = 1.32(2025) - 2589.6

p(2025) = 2673 - 2589.6

p(2025) = 83.4

So, there will be 83,400 people in 2025 who will be 100 years or older.

(b) Substitute p(t)=100 into the function and solve for t:

p(t) = 1.32t - 2589.6

100 = 1.32t - 2589.6

2689.6 = 1.32t

2037.57 = t

2038 = t

Therefore, the number of people 100 years or older will reach 100,000 by 2038.

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$5000 was invested into an investment that pays 4.25% simple interest. The total value of the investment amounted to $6593.75. H

Basile [38]

Answer:

7.5 years

Step-by-step explanation:

P = $5000,

R = 4.25%,

A = $6593.75,

N =?

SI = A - P = 6593.75 - 5000 =$1593. 75

$\because \: SI = \frac{ PNR}{100} \\ \\ \therefore \: 1593.75 = \frac{5000 \times N \times 4.25}{100} \\ \\ \therefore \: 1593.75 \times 100 = 21,250 \times N \\ \\ N = \frac{159375}{21250} \\ \\ N = 7.5 \: years \:$

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