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ioda
3 years ago
9

Calculate the distance between (4,9) and (-2,6) using the distance formula.

Mathematics
1 answer:
MAVERICK [17]3 years ago
6 0

Answer:

\large\boxed{d=3\sqrt5}

Step-by-step explanation:

\text{the formula of a distance between two points}\ A(x_1,\ y_1)\ \text{and}\ B(x_2,\ y_2):\\\\|AB|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\=========================\\\\\text{We have}\ (4,\ 9)\ \text{and}\ (-2,\ 6).\ \text{Substitute:}\\\\d=\sqrt{(-2-4)^2+(6-9)^2}=\sqrt{(-6)^2+(-3)^2}=\sqrt{36+9}=\sqrt{45}\\\\\sqrt{45}=\sqrt{9\cdot5}=\sqrt9\cdot\sqrt5=3\sqrt5

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Tom wishes to purchase a property that has been valued at $300,000. He has $30,000 available as a deposit, and will require a mo
Mekhanik [1.2K]

Answer: The total interest paid on the mortgage is $179550

Step-by-step explanation:

The initial cost of the property is $300000. If he deposits $30000, the remaining amount would be

300000 - 30000 = $270000

Since the remaining amount was compounded, we would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = 270000

r = 2% = 2/100 = 0.02

n = 12 because it was compounded 12 times in a year.

t = 25 years

Therefore,

A = 270000(1+0.02/12)^12 × 25

A = 270000(1+0.0017)^300

A = 270000(1.0017)^300

A = $449550

The total interest paid on the mortgage is

449550 - 270000 = $179550

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3 years ago
What is the volume of a cylinder with a base radius of 2 and height <br> 6
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Answer:

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4 0
2 years ago
Andre says I'm multiplied 4 by 5 then cubed the results select all expressions are equal Andres answer a 4×5 to the power of 3B4
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Step-by-step explanation:

Andre's statement :

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2 years ago
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2 years ago
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Cancel out 3

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Simplify 1/2(10x - 4) to 10x - 4/2

2x - 5 = 10x - 4/2

Factor out the common term; 2

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Cancel out 2

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3 years ago
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