I need help on these questions PLEASE
britneyshowalter avatar

Answers

Answer 1
Answer: I think the easiest way to answer all of these is to just go ahead and find the equation of the line first. 

I'm pretty sure that by the time you reach this problem, you've learned to find
theequation of a line that passes through two given points.  You have twopoints:  (2, 100) and (5, 205).  The equation of the line through themis [ y = 35x + 30 ].

6).  The initial membership fee ... the cost for walking in the door and signing up,
before any months, is $30.  (Also the y-intercept.)

7).  The cost per month is $35.  (The slope of the line.)

8).  We already did that, up above.  [  y = 35x + 30 ].

9).  'x' in the equation is the number of months.
There are 12 months in one year.

y = 35(12) + 30 = $450


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What is the remainder for the synthetic division problem?

Answers

Answer:

Option B is correct.

Step-by-step explanation:

Solving using synthetic division

-8 | 2 14 9

The synthetic division is shown in image attached.

The remainder is: 25

The quotient is : 2x-2

So, Option B is correct.

How much money should be invested every year with 4% interest per year in order to save up $26,000 in 18 years?

Answers

Answer:

$15116.28

Step-by-step explanation:

Given data:

interest rate, r= 4%

time, t= 18 years

Final investment, A= $26000

Principle investment, P=?

As per the formula of interest

A= P (1+rt)

Putting the values:

26000= P(1+ 0.04(18))

P= 26000/(1+ 0.04(18))

P= 15116.28 !

Dominic books with 12 postcards in each book. He has 4 boxes with 20 coins in each box. If he gives 15 post cards to his friends, how many postcards and coins does he have?

Answers

How many books are there?

The awnser is 80 coins

The area of a square is 225 square centimeters. Find the length of a side. Find the length of the diagonal.

Answers

If the square's area is 225 square centimeters, that means length of it's one side is 15 centimeters, because the formula for a square's area is { a }^( 2 ) where a is length side, in our case { a }^( 2 )=225 and \sqrt { { a }^( 2 ) } =\sqrt { 225 } \n a=15. So we know that one side's length is 15 we can find the diagonal. The solution is in the picture. 

{ a }^( 2 )+{ b }^( 2 )={ c }^( 2 )\n { 15 }^( 2 )+{ 15 }^( 2 )={ c }^( 2 )\n 225+225={ c }^( 2 )\n 550={ c }^( 2 )\n \sqrt { 550 } =\sqrt { { c }^( 2 ) } \n \sqrt { 550 } =c\n 15\sqrt { 2 } =c

Final answer:

To find the length of a side of the square, take the square root of its area. The length of a side is 15 centimeters. To find the length of the diagonal, use the Pythagorean theorem. The length of the diagonal is 15√2 centimeters.

Explanation:

To find the length of a side of a square, we can take the square root of its area. The area of the square is given as 225 square centimeters, so taking the square root of that will give us the length of a side. √225 = 15 centimeters.

To find the length of the diagonal of the square, we can use the Pythagorean theorem. The diagonal forms a right triangle with the sides of the square, so we can use a^2 + b^2 = c^2, where a and b are the lengths of the sides and c is the length of the diagonal. Plugging in the values, 15^2 + 15^2 = c^2. 225 + 225 = c^2. 450 = c^2. Taking the square root of both sides, c = √450. Simplifying, c = 15√2 centimeters.

Learn more about Finding the length of a side and diagonal of a square here:

brainly.com/question/16716787

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Please help! A parallelogram has an area of 396 square centimeters and a height of 18 centimeters.What is the length of the base of the parallelogram?

Answers

The area formula for a parallelogram is base*height=area. Make an equation. You know the area and the height, so plug that into the equation, and you get x*18=396. Solve for x by dividing 396 by 18 and you get 22. So, the base is 22cm.

Simply the expression -3(x+3)2-3+3x. what is the simplified expression in standard form?

Answers

(-3x-9)× 2
-6x-18 -3 +3x
-3x -21

Answer:

TL;DR on behalf of all other answers, B

Step-by-step explanation:

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