MATHEMATICS HIGH SCHOOL

A countrys population in 1991 was 147 million. In 1998 it was 153 million. Estimate the population in 2017 using exponential growth formula. Round your answer to the nearest million. P=Ae to the power kt

Answers

Answer 1
Answer:

Answer:

171 million

Step-by-step explanation:

Given the exponential growth formula expressed as P = Ae^(kt) where P is the countrys population and t is the time.

Initially in 1991, at t= 0, P = 147 million

P = Ae^(kt)\n147 = Ae^(k(0))\n147 = Ae^0\n147 = A(1)\nA = 147

If by 1998 it was 153 million, this means that the population is 153 million 7 years later i.e when t = 7, P = 153. On substituting into the formula to get the constant 'k';

P = Ae^(kt)\n153 = 147e^(k(7))\n153 = 147e^(7k)\n153/147 = e^(7k)\ne^(7k) = 1.041\nTaking \ ln \ of \ both \ sides\nlne^(7k) = ln 1.041\n7k = 0.04018\nk = 0.04018/7\nk = 0.00574

To estimate the population in 2017, to number of years from 1991 to 2017 is 26 years. Hence we are to find the value of P given t = 27, A = 147 and k = 0.00574

P = Ae^(kt)\nP = 147e^(0.00574*26)\nP = 147e^0.14924\nP = 147*1.16095\nP = 170.659

Hence the population in 2017 using exponential growth formula to the nearest million is 171 million.

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Answers

Answer:

Yes

Step-by-step explanation:

1.5(2^x)(2^1)

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jerry receives a 15% employee discount at the store where he works. if he pays $219.30 for an item, what was the original price of the item?

Answers

Given:
Employee discount 15%.
Amount paid by employee - $219.30

If the discount is 15%, then the amount paid by the employee is only 85% of the original price. Therefore, to get the original price, we do this computation.

Original price = amount paid by employee ÷ (100%-employee discount)

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Discount : $258 * 15% = $38.70

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Here's the math to solve it:
Original price = $219.30 ÷ (100% - 15%)
Original price = $219.30 ÷ 85%
Original Price = $258

Discount: $258 x 15% = $38.70

Amount paid by employee: $258 - 38.70 = 219.30

Hope this helps!

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Answers

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Answers

Answer:

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please click thanks and mark brainliest if you like :)

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Answers

Answer:

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Step-by-step explanation:

Solution

A=a+b

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