You deposit the same amount of money in a bank account each month. You deposit a total of $660 in 1 year. How many months does it take for you to deposit $2310?

Answer:

[tex]d = \sqrt[2]{34}[/tex]

Step-by-step explanation:

We are solving for the segment of AB. Note that it is a line segment, so there will be end points, those being A(-4, 5) & B(2, -5).

Use the following distance formula:

[tex]distance[/tex] [tex](d) =[/tex] [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - x_{2})^2 }[/tex]

Let:

Point B(2 , -5) = (x₁ , y₁)

Point A(-4 , 5) = (x₂ , y₂)

Plug in the corresponding numbers to the corresponding variables.

[tex]d =[/tex] [tex]\sqrt{(-4 - 2)^{2} + (5 - (-5))^{2} }[/tex]

Simplify. Remember to follow PEMDAS. First, solve the parenthesis, then the powers, then add, and then finally square root.

[tex]d = \sqrt{(-6)^{2} + (5 + 5)^{2} } \\d = \sqrt{(-6 * -6) + (10)^2} \\d = \sqrt{(36) + (10 * 10)} \\d = \sqrt{36 + (100)} \\d = \sqrt{136}[/tex]

Simplify:

[tex]d = \sqrt{136} = \sqrt{2 * 2 * 2 * 17} = \sqrt[2]{17 * 2} = \sqrt[2]{34}[/tex]

[tex]d = \sqrt[2]{34}[/tex] is your answer.

~

Answer:

Length is 5, width is 3.

Step-by-step explanation:

The formula for the perimeter of a rectangle is:

[tex]P=2l+2w[/tex]

Where P is the perimeter, l is the length, and w is the width.

With the original length and width, the perimeter is 16, thus:

[tex]16=2l+2w[/tex]

Now, if we double the length, the 2l will become 4l. Also, the perimeter will change to 26. Thus:

[tex]26=4l+2w[/tex]

Now, we have a system of equations. We can solve it using elimination. Multiply everything by -1 in the first equation:

[tex]16=2l+2w\\-16=-2l-2w[/tex]

Now, add the equations:

[tex]-16=-2l-2w\\26=4l+2w[/tex]

-16 plus 26 is 10. -2l plus 4l is 2l. The 2w cancel. Thus:

[tex]10=2l[/tex]

Divide both sides by 2:

[tex]l=5[/tex]

So, the original length was 5.

To find the original width, substitute 5 back into the first equation:

[tex]16=2(5)+2w[/tex]

Multiply:

[tex]16=10+2w[/tex]

Subtract 10 from both sides:

[tex]2w=6[/tex]

Divide both sides by 2:

[tex]w=3[/tex]

So, the original width was 3.

And we're done!

Checking:

Originally, our length was 5 and 3. This means that the perimeter is 2(5+3)=2(8)=16 which is correct.

After we double our length, our length will be 10. This means that the new perimeter is 2(10+3)=2(13)=26. So, our answers are correct!

Let's assume that length be L and width be B.

Perimeter of rectangle is given by,

Perimeter = 2( L + B)

So,

⇒ 16 cm = 2 ( L + B )

⇒ 8cm = L + B _______( Say equation 1)

Now, we are given that when length is doubled perimeter is 26.

So,

⇒ 26 cm = 2 ( 2 L + B )

⇒ 13 cm = 2 L + B

⇒ 13 cm = L + L + B

Now use equation-1

⇒13 cm = L + 8cm

⇒13 cm - 8 cm = L

⇒5 cm = L

Therefore length is 5cm.

Now substitute this value in equation 1

⇒L + B = 8 cm

⇒5cm + B = 8 cm

⇒B = 8 cm - 5 cm

⇒B = 3 cm

Therefore breadth is 3 cm.

Answer:

a

Step-by-step explanation:

PLEASE HELP 15 points

Answer:

please add a picture or the rest pf the question and i might be able to help thank you :)

Step-by-step explanation:

Step-by-step explanation:

for a perpendicular,

make x the subject.

8x=11-3y

x=11/8 +3/8

for a perpendicular, the gradient

x= -1/m

x= (-1/11/8) - (-1/3y/8)

x= 8/3y -8/11.

therefore the gradient (m) = 8/3y -8/11.

Answer:12

Step-by-step explanation:6+(5+1)

5+1=6

6+(6)=12

Answer:

The answer is 24

Step-by-step explanation:

Answer:

Rational

Step-by-step explanation:

4.5656565656... can be turned into a fraction. The number is a repeating decimal. Repeating decimals are rational numbers.

4.5656565656... = [tex]4\frac{56}{99}[/tex]

Hope this helps.

Answer:

x=36

Step-by-step explanation:

-4(-x-1)+2x+3=43

or, 4x+4+2x+3=43( when there is - sign in multiply the sign will be +)

or, 4x+2x+4+3=43( arranging the like terms)

or, 6x+7=43( adding both numbers)

or, 6x=43-7(when there is + sign in one side if it will go to another side it will be -sign)

or, 6x=36(substracting the numbers)

or, x=36/6(when there is multiply in one side there will be divide)

or, x=6

Hope it is helpful for you

Answer:

59

Step-by-step explanation:

1. -35

2. +9

3. -23

4. +3

5. +5

6. -7

7. +125

8. -18

Add them all up in a calculator and you get 59

Answer:

t=-3.7

Step-by-step explanation:

5 (t+3)=-3.5

solving the bracket we have;

5t+15=-3.5

collect like terms

5t=-3.5-15

5t=-18.5

divide both sides by 5;

t=-3.7

The value of t in the given algebraic expression is; t = -2.3

We are given the equation;

5(t + 3) = 3.5

Using distributive property on the left hand side, we have;

5t + (5 × 3) = 3.5

5t + 15 = 3.5

Using subtractive property of equality, subtract 15 from both sides to get;

5t + 15 - 15 = 3.5 - 15

5t = -11.5

Divide both sides by 5 to get;

5t/5 = -11.5/5

t = -2.3

Read more at; https://brainly.com/question/23202310

Answer:

Surface Area would be 200² inches.

Step-by-step explanation:

SA=2(12*9)+2(9*2)+2(12*2)

SA=2(108)+2(18)+2(24)

SA=216+36+48

SA=200² in.

Answer:0.00007=7×10−5

Step-by-step explanation:

Answer:

D'(1, - 1 )

Step-by-step explanation:

Assuming the dilatation is centred at the origin, then multiply the coordinates of D by [tex]\frac{1}{2}[/tex] , that is

D(2, - 2 ) → D'([tex]\frac{1}{2}[/tex] (2) , [tex]\frac{1}{2}[/tex] (- 2) ) → D'(1, - 1 )

Answer:

13a+1

Step-by-step explanation:

Answer:

13A + 1  Hope this helped:)

I think the answer is 3$ because if you divide each item by the price you get 1 3 and 5 3 is more likely to be the middle so that would be your average price the unit rate of each of the items is dividing the price by the number of items to get the price of one item or your unit rate.

Answer:5 12/25

Step-by-step explanation:

48-24-12

over

100-50-25

Answer:

i think underroot 29 is a midpoint of this two unit

Answer:

B(-6,7)

mid point (1,5)

Step-by-step explanation:

A=-2,-3  M (-4,2) is the midpoint between A and B

x of M=(xA+xB)/2

-4=-2+xB/2

-4(2)=-2+xB

yM=(yA+yB)/2

2=(-3+yB)/2

2(2)=-3+yB

yB=4+3

midpoint (xa+xb/2 , ya+yb/2)

(-1+3/2 ,4+6/2)

(1,5)

Answer:

x=84

Step-by-step explanation:

1/7x +3=15

1/7x=15-3

1/7x=12

divide by 1/7

X=84

Answer/Step-by-step explanation:

Given the function, [tex] g(z) = 5z + 2.1 [/tex], the table can be completed by substituting the given value of z as follows:

Question 2: z = -7

[tex] g(-7) = 5(-7) + 2.1 [/tex]

[tex] g(-7) = -35 + 2.1 [/tex]

[tex] g(-7) = 32.9 [/tex]

Question 3: z = -8

[tex] g(-7) = 5(-8) + 2.1 [/tex]

[tex] g(-7) = -40 + 2.1 [/tex]

[tex] g(-7) = 37.9 [/tex]

Answer:

140 laps and 7,000 idk on this tho

Step-by-step explanation:

Answer:

Water flows through a pipe at a rate of about 502 milliliters per hour.

Step-by-step explanation:

1 Pint is equal to 473.176 Milliliter

There are 8,760 Hous in a Year

---------------------------------------------

9,300 Pints is about 4,400,541 Milliliters

4,400,541 divided by 8,760 is 502.344863014

Thats about 502 Milliliters

:)

Answer:

549.5

Step-by-step explanation:

The formula for the Volume of a right cylinder is V= π r² h. First you are going to substitute the 5 with the r and the 7 with the h. V= (3.14)5²(7). 5²= 25.

3.14 (25)=78.5

78.5 (7)=549.5

Answer is 549.5

Answer:

Arithmetic

Step-by-step explanation:

  Because arithmetic sequences are sequences where the values have a constant change. But Geometric sequences are when the ratois of the values have constant change.

Hope This Helped :)

Answer:

K

Step-by-step explanation:

As per diagram, the intersection of the line JL and plane R is the point K

Correct option is the last one

Answer:

She will owe approximately $8,427.40 after three years.

Step-by-step explanation:

The compound interest formula is

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

where A is the final amount; P is the principal, or initial, amount; r is the interest rate, as a decimal; n is the number of times the interest is applied per year; and t is the amount of time, in years.

By substituting the values in and assuming that the interest is compounded every year, we get:

A = 8,000(1 + 0.0175)^((1)(3))

8,000(1.0175)^3

8,000(1.05342411)

8,427.40.

Answer:

[tex]\huge\boxed{y=-x+9}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

From the graph we have the y-intercept (0, 9) → b = 9.

Substitute it to the equation of a line:

[tex]y=mx+9[/tex]

From the graph we have the x-intercept (9, 0) → x = 9, y = 0.

Substitute to the equation:

[tex]0=9m+9[/tex]          subtract 9 from both sides

[tex]-9=9m[/tex]         divide both sides by 9

[tex]-1=m\to m=-1[/tex]

Finally:

[tex]y=-1x+9[/tex]