judi is making a rope ladder. she uses 1/2 yard of rope for each step. how many steps can she make with 6 yards of rope? show your work.

Given :

James puts $3,500 into a savings account that earns 2.5% simple interest.

He does not touch that account for 3 years.

To Find :

The new balance of the account be after 3 years.

Solution :

Interest on $3500 after 3 years is :

[tex]I = \dfrac{P_o\times r\times t}{100}\\\\I = \dfrac{3500\times 2.5\times 3}{100}\\\\I = \$262.5[/tex]

So, new balance of the account after 3 years is $( 3500+262.5 ) = $3762.5  .

Hence, this is the required solution.

Answer:

y = -23f^2 + 1/2f + √3

Step-by-step explanation:

Standard form: y = ax^2 + bx + c

x = f

a = -23

b = 1/2

c = √3

–23f² + f/2 = -√3

-23f² + f/2 + √3 = 0

y = -23f^2 + f/2 + √3

y = -23f^2 + 1/2f + √3

Answer:

167%

Step-by-step explanation:

1800/300=$6 apiece

6x = 10

10/6 = x

x = 1.67, or 167%

Answer:

Step-by-step explanation:

If 8 customers entered a store over the course of 16 minutes, then;

8 customers = 16 minutes.

The rate at which the customers are entering is expressed as;

Rate = Time (in minutes)/amount of customers;

Given

Time = 16 minutes

Amount of customers = 8 customers

Rate = 16min/8customers

Rate = 2min/customer

Hence the rate at which the customers entering the store in minutes per customer is 2min/customer.

Answer:

speed=distance÷time

Step-by-step explanation:

time×speed=distance

distance =6×0.16=0.96 km

Answer:

1 5/36

Step-by-step explanation:

To add fractions, you need to have a common denominator between the two fractions.

In this case, the lowest common denominator would be 36. Convert each fraction.

5/9 = 20/36 (multiply the numerator and denominator by 4)

7/12 = 21/36 (multiply top and bottom by 3)

20/36 + 21/36 = 41/36

Then you need to simplify the fraction. 36 goes into 41 once (1), with a remainder of 5, so you would get 1 5/36.

Hope this helps!

Answer:

Spacing between the posters will be 1.75 each

Step-by-step explanation:

We are given

The length of the wall = 13ft

width of the poster = 2ft ⇒2*3=6ft for three posters

Poster's from end of the wall = 1.75*2 = 3.50ft

let the spacing be = x ⇒ 2x for two spacing between three posters

Total length of the wall = 6 + 3.50 + 2x = 13

2x + 9.50 = 13

2x = 3.50

x = 1.75ft

So the spacing between the posters will be 1.75 each

Answer: The correct answer is B) 19.5(sin35)

Step-by-step explanation:

I took the practice

Answer:

The rate is the distance divided by the time.

  60 feet in 10 seconds   =   60 ft / 10 sec   =  6 ft / sec

  42 feet in 6 seconds   =   42 ft / 6 sec   =   7 ft / sec    <--- We have a winner!

Step-by-step explanation:

to find the area of a square, take length x width.

example:

length= 2

width= 7

2 x 7= 14

Answer:

1/8 will be 0.125 as a decimal so that is greater than 0.12! so it will be this [tex]1.8 \geq 0.12[/tex]

Answer:

Step-by-step explanation:

4. 1/8   > 0.12

5. -6/7  < -5/6

6. 3/10 + (-7/10) = -4/10= -2/5

7. -4/9 - 1/9 = -5/9

Answer:

correct

Step-by-step explanation:

Answer:

3. 68.44

2.25 percent

1.86

Answer:

Step-by-step explanation:

9/12

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]Initial = 8[/tex]

[tex]Increment = 3[/tex] (every hour)

Required

Explain why it is linear

First, we need to determine the equation that represents the scenario

Let x be the number of hours worked and y be the number of figurines at x hours.

The equation is determined as follows:

[tex]y = Initial\ Figurines + Increment * x[/tex]

This gives:

[tex]y = 8 + 3 * x[/tex]

[tex]y = 8 + 3x[/tex]

Reorder

[tex]y = 3x + 8[/tex]

A linear equation is of the form

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

By comparison,

[tex]y = mx + b[/tex] is equivalent to [tex]y = 3x + 8[/tex]

Hence, we can conclude that the situation is linear

Answer:

The situation can be described using the equation y = 3x + 8

The rate of change is not constant.

Step-by-step explanation:

Answer:

58.82

Step-by-step explanation:

Answer:

58.8

Step-by-step explanation:

I think it’s 58.8 sorry if it isn’t

Answer:

Domain: -inf to inf

Range: -1, inf

Step-by-step explanation:

Answer:

y=4

Step-by-step explanation:

-2(y-7)=9y-30

-2y+14=9y-30

-2y-9y=-30-14

-11y=-30-14

-11y=-44

y=4

Answer:

14

Step-by-step explanation:

You can‘t simplify 5/14 because 5 is a prime number. So, now you have to convert the 6/7 to 12/14 to match it up to 5/14. They now have a common denominator of 14.

Hope this helps! :)

mathematic that is not math

Answer:

y=-5x-13

Step-by-step explanation:

y=-5(-3)-13

Complete question :

An account grows at an annual interest rate of r , so it grows by a factor of x = 1+ r each year. The function A(x)= 800x^4 + 350x^3 + 500x^2 + 600x gives the amount in the account after 4 years when the growth factor is x.

1) What is the total amount in the account if the interest rate for the account is 3% each year?

Answer:

2,431.311498

Step-by-step explanation:

Given that:

Growth factor (x) = (1 + r) per year

If rate (r) = 3% = 0.03

x = 1 + 0.03 = 1.03

Amount in account after 4 years is given by the function :

A(x)= 800x^4 + 350x^3 + 500x^2 + 600x

Put x = 1.03 to obtain the total amount ;

A(1.03) = 800(1.03)^4 + 350(1.03)^3 + 500(1.03)^2 + 600(1.03)

= 2431.311498

Hence, total amount in account after 4 years = 2,431.311498

First to answer

Answer:

The answer is True:

Let's solve your equation step-by-step.

1/n−1 = 4/15

Step 1: Cross-multiply.

1/n−1 = 41/ 5

(1)*(15)=4*(n−1)

15=4n−4

Step 2: Flip the equation.

4n−4=15

Step 3: Add 4 to both sides.

4n−4+4=15+4

4n=19

Step 4: Divide both sides by 4.

4n/4=19/4

n=19/4

simplify:

19/4 = 4.75

4.75 in decimal for is equal to 4 3/4

Given:

Oven's temperature rose 3 degrees in [tex]\dfrac{1}{6}[/tex] of a minute.

To find:

How much will the oven heat up in 1 minute at that rate?

Solution:

According to the question,

Oven's temperature rose in [tex]\dfrac{1}{6}[/tex] of a minute [tex]=3 \text{ degrees}[/tex]

Oven's temperature rose in 1 minute [tex]=6\times 3 \text{ degrees}[/tex]

                                                             [tex]=18 \text{ degrees}[/tex]

Therefore, the oven's will heat up 18 degrees in 1 minute.

Answer:

18

Step-by-step explanation:

therefore it will be 18 degrees in 1 min

Answer:

slope is 10x

Y - intercept is 7

Step-by-step explanation:

The equation of the line whose slope is 10 and passes through the point (0, 7) is y = 10x + 7

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

We have a line that has a slope of 10 and passes through the point (0, 7).

Assume the equation of the line to be -

y = 10x + c            {since m = 10}

For the point (0, 7), we can write -

7 = 10 x 0 + c

c = 7

So, the equation of the line will be -

y = 10x + 7

Therefore, the equation of the line whose slope is 10 and passes through the point (0, 7) is y = 10x + 7

To solve more questions on straight lines, visit the link below-

brainly.com/question/29030795

#SPJ2

Answer:

n=-1

Step-by-step explanation:

Plug in m=-2 into the given equation and solve

5(-2 - n) =5n

Distribute the 5 to the -2 and -n

-10-5n=5n

Isolate the variable to one side by adding 5n to the right side of the equation.

-10=10n

Isolate the variable by dividing by 10 on both sides.

-1 = n