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uysha [10]
3 years ago
15

The following table gives projections of the U.S. population from 2000 to 2100.

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
3 0

The equation of best fit is f(X) = 2.91964X + 265.86364.

f(65) = 455.64024. It means that the population, in millions, after 65 years from 2000 is 455.64024.

The slope of the line is 2.91964 which means population is increasing at the rate of 2.91964 per year.

Sum of X = 550

Sum of Y = 4530.3

Mean X = 50

Mean Y = 411.8455

Sum of squares (SSX) = 11000

Sum of products (SP) = 32116

Regression Equation = y = bX + a

b = \frac{SP}{SSX} = \frac{32116}{11000} = 2.91964

a = MY - bMX = 411.85 - (2.92*50) = 265.86364

y = 2.91964X + 265.86364

f(X) = 2.91964X + 265.86364

f(65) = 2.91964\times 65 + 265.86364

f(65) = 189.7766 + 265.86364

f(65) = 189.7766 + 265.86364

f(65) = 455.64024

It means that the population, in millions, after 65 years from 2000 is 455.64024.

From the equation, f(X) = 2.91964X + 265.86364

the slope of the line is 2.91964 which means population is increasing at the rate of 2.91964 per year.

Learn more about line of best fit here:

brainly.com/question/14279419?referrer=searchResults

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Hakim saves money for one year to buy a computer.
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Answer:

$111

Step-by-step explanation:

First we need to take a look at the bank account of Hakim. Hakim initially invested $700 in the bank with a 5% simple interest annually. Since Hakim waited for an entire year before buying the computer, he will then have the extra 5% interest from the bank.

Let's first compute for how much Hakim will have in total in the bank.

A = P(1 + rt)

P = 700 Initial Investment

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A = 700(1 + (0.05 x 1))

A = 700(1 + 0.05)

A = 700(1.05)

A = 735

So now we know that Hakim has a total of $735 in his bank account.

Now let's move on to calculating the total cost of the computer. We know that the sales tax is always computed after the discounted price.

So first we find the discounted price.

x = 750

d = 20% or 0.20

Discount = 750 x 0.20

Discount = 150

Now that we have the discount of the computer, we then simply subtract the discount to the initial price.

750 - 150 = 600.

The computer will then cost $600 with the discounted price.

Now we have to find the sales tax.

Sales Tax = 4% or 0.04

Total Discounted Price = 600

600 x 0.04 = $24

Now that we have the sales tax, we simply add the sales tax to the discounted price.

600 + 24 = 624.

Now that we know how much the total cost of the computer is with the discount and sales tax, we simply subtract the total cost of the computer to Hakim's current account balance.

735 - 624 = 111

Hakim will have a total of $111 in his bank account after purchasing the computer.

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VWX and NOP are similar. If mV = 44° and mP = 66°, what is mW?
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