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3 years ago

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The $99.99 digital camera Mia purchased was on sale for 15% off. What amount did Mia get off the price? please leave an explanat

ion

1 answer:

lesya [120]3 years ago

6 0

Answer: Sale Price = $84.99 (answer). This means the cost of the item to you is $84.99. You will pay $84.99 for a item with original price of $99.99 when discounted 15%. In this example, if you buy an item at $99.99 with 15% discount, you will pay 99.99 - 14.9985 = 84.99 dollars.

Step-by-step explanation:

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The population of a certain country in 1996 was 286 million people. In addition, the population of the country was growing at a

Fudgin [204]

Answer:

A) In 2004 the population will reach 306 million.

B) In 2033 the population will reach 386 million.

Step-by-step explanation:

Given : The population of a certain country in 1996 was 286 million people. In addition, the population of the country was growing at a rate of 0.8% per year. Assuming that this growth rate continues, the model $P(t) = 286(1.008 )^{t-1996}$ represents the population P (in millions of people) in year t.

To find : According to this model, when will the population of the country reach A. 306 million? B. 386 million?

Solution :

The model represent the population is $P(t) = 286(1.008 )^{t-1996}$

Where, P represents the population in million.

t represents the time.

A) When population P=306 million.

$306 = 286(1.008 )^{t-1996}$

$\frac{306}{286}=(1.008 )^{t-1996}$

$1.0699=(1.008 )^{t-1996}$

Taking log both side,

$\log(1.0699)=\log((1.008 )^{t-1996})$

$\log(1.0699)=(t-1996)\log(1.008)$

$\frac{\log(1.0699)}{\log(1.008)}=(t-1996)$

$8.479=t-1996$

$t=8.479+1996$

$t=2004.47$

$t\approx2004$

Therefore, In 2004 the population will reach 306 million.

B) When population P=386 million.

$386 = 286(1.008 )^{t-1996}$

$\frac{386}{286}=(1.008 )^{t-1996}$

$1.3496=(1.008 )^{t-1996}$

Taking log both side,

$\log(1.3496)=\log((1.008 )^{t-1996})$

$\log(1.3496)=(t-1996)\log(1.008)$

$\frac{\log(1.3496)}{\log(1.008)}=(t-1996)$

$37.625=t-1996$

$t=37.625+1996$

$t=2033.625$

$t\approx2033$

Therefore, In 2033 the population will reach 386 million.

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3 years ago