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3 years ago

What is an equation of the line that passes through the points (-6, -3) and (-3, -5)?

Mathematics

1 answer:

RUDIKE [14]3 years ago

7 0

find the gradient = change in y/change in X

-5 - -3/-3 - -6

= -2/3

take any two point say -3,-5 and equate to the gradient

Y - 5 /X - 3 = -2/3

cross multiply

3y - 15 = -2x + 6

3y = -2x +6 + 15

3y = -2x + 21

y = -2/3x +7

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Which of the following is the x-intercept for 3y - 4x = 8?

expeople1 [14]

The answer is E because 3 x 0 - 4 x -2 = 8

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3 years ago

Aria paid $75,000 for her house. Its property value increased by 2.2% per year. When Aria sold her house after eleven years, how

astra-53 [7]

Answer:

When Aria sold her house after eleven years it worth was <u>$95,300</u>.

Step-by-step explanation:

Given:

Aria paid $75,000 for her house. Its property value increased by 2.2% per year.

Now, to find the worth of Aria house when sold after eleven years.

Let the amount of house after eleven years be $x.$

Amount Aria paid for her house (A) = $75,000.

Rate of property increased per year (r) = 2.2%.

Time (t) = 11 years.

Now, to get the amount of house after eleven years we put formula:

$x=A\times (1+\frac{r}{100})^{11}$

$x=75000\times (1+\frac{2.2}{100})^{11}$

$x=75000\times (1+0.022)^{11}$

$x=75000\times (1.022)^{11}$

$x=75000\times 1.2704$

$x=95280.$

<em>The amount of house after eleven years to the nearest hundred dollars is $95,300.</em>

Therefore, when Aria sold her house after eleven years it worth was $95,300.

3 0

3 years ago

By what percentage will an amount gro in 10yeare if it is invested at 5% p.a. compounded monthly

lora16 [44]

Answer:

64.7%

Step-by-step explanation:

To solve this problem we use compounded interest formula.

$a = p(1 + (r \div n))^{nt}$

a = amount

p = principle

r = interest rate

n = number of times compounded in a period

t = time period

$a = 1000(1 + (.05 \div 12)^{12 \times 10}$

a = 1647.01

1647.01-1000 = 647.01

647.01/1000 = 0.64701

0.64701*100% = 64.7%

4 0

2 years ago

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Vika [28.1K]

Answer:

2 1/3!

Step-by-step explanation:

If you are subtracting fractions that both have a common denominator, think of it like this. so, if you are confused with whole numbers, why not make it improper? multiply the bottom number by the big number next to it, and add the top 2, which should give you 8/3. then subtract 1/3, which is 7/3, and if you simplify it, it should give you 1 1/3! :D

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2 years ago

Kristen bought a package of 8 chocolate cookies. Each cookie weighed 0.6 ounces. How much did the 8 cookies weigh all together?

Lubov Fominskaja [6]

Answer:

4.8oz

Step-by-step explanation:

7 0

3 years ago

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