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aleksandrvk [35]
3 years ago
9

Find the slope of the line through each pair of points (19,9),(15,-3)

Mathematics
1 answer:
stepan [7]3 years ago
4 0
Slope (y2-y1)/(x2-x1)
(-3-9)/(15-19) = -12/-4 = 3
The slope is 3
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Mr. Tally inherited $200,000. He used a portion of the inheritance to build a house. He invested the rest of the money for one y
Ivan

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Amount inherited = $200,000

Portion used to build house = h

Invested amount = 200,000 - h

1/3 of (200,000 - h) was invested at 12%

2/3 of 200,000 - h was invested at 15%

Interest from both investment = 8400

Cost of building =?

Using the simple interest formula :

Principal(P) * rate(r) * time

If the investment was for a year:

1st investment :

(200,000 - h)/3 * 0.12 * 1 = (24000 - 0.12h) / 3 = (8000 - 0.04h)

2nd :

(200,000 - h)*2/3* 0.15 * 1 = (20,000 - 0.1h)

Summing both :

8000 - 0.04h + 20,000 - 0.1h = 8400

28000 - 0.14h = 8400

-0.14h = 8400 - 28000

-0.14h = - 19600

= 140,000

3 0
3 years ago
On a boat, a cabin's window is in the shape of an isosceles trapezoid, as shown below. What is the area of the window?
Luba_88 [7]

Answer:

The area of the window will be equal to 195 sq. inches.

Step-by-step explanation:

On a boat, a cabin's window is in the shape of an isosceles trapezoid.

The longer side parallel side is at the bottom.

The top side of the trapezoid is 10 inches and the height is 15 inches and the base of the triangle formed from the height on the right is labeled 3 inches.

So, the bottom parallel side has length of (10 + 3 + 3) = 16 inches.

Therefore, the area of the window will be equal to \frac{1}{2}(10 + 16)15 = 195 sq. inches. (Answer)

7 0
3 years ago
HELP!! 30 points!!!!
just olya [345]

Answer:32

Stby-step explanation:

3 0
3 years ago
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The function below represents the annual interest Alexander earns on a savings account. Identify the term that represents the am
lisabon 2012 [21]

Answer:

Option 4

The term that represents the amount of time that the money is accruing interest is 'x'.

Step-by-step explanation:

Given : The function below represents the annual interest Alexander earns on a savings account.

f(x)=500(1+0.02)^x

To find : Identify the term that represents the amount of time that the money is accruing interest ?

Solution :

The general annual interest formula is A=P(1+r)^t

Where, A is the amount

P is the principal

r is the interest rate

t is the time

The annual interest Alexander earns on a savings account is

f(x)=500(1+0.02)^x

Comparing with general formula,

t=x

The term that represents the amount of time that the money is accruing interest is 'x'.

Therefore, Option 4 is correct.

4 0
4 years ago
Read 2 more answers
Evaluate B^2 for B= -4. <br><br>O 8<br>O -8<br>O 16 <br>O -16​
yulyashka [42]

Answer is 16

Hope it helps

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