i. After how many weeks will Jennifer and William have the same amount of money in their bank accounts?



ii. How much will be in their accounts?

Hi sorry for the late response, I know the assignment was due at 5pm today but anyway here is the answer.

System:

d= 5(0.75-t)

d= 20t

20t = 3.75 -5t

Define Variables:

d = how far Carol Skied

t = time it took Carol to go up/down

Solve:

20t = 3.75 -5t

20t + 5t = 3.75 -5t + 5t            

25t = 3.75

25t/25 = 3.75/25

t = 0.15

Now we plug in the time into the Distances:

20t = 3.75 - 5t

20(0.15) = 3.75 - 5(0.15)

3 = 3.75 - 0.75

3 = 3

Solution as Sentence:

Carol Skied 3 miles

Answer:

157.5 miles with 6 gallons

Step-by-step explanation:

105miles / 4gallons = 26.25miles per gallon

26.25miles per gallon * 6miles = 157.5 miles

Answer:1

Step-by-step explanation:

Answer:

Step-by-step explanation:

As per diagram, y = -9 for any value of x, so it is the line with equation:

Answer:

PQR and VXW

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

9514 1404 393

Answer:

  y = 5x +20

Step-by-step explanation:

We assume you want the total cost (y) of x months of membership at the dance club.

This will be the sum of the start-up fee (20) and the product of the monthly fee (5) and the number of months (x).

  y = 5x +20

Comparing this to the slope-intercept form of the equation of a line, we see ...

  y = mx + b

  m = 5

  b = 20

56.1% is the average number of people at the games increase from 2005 to 2012

percentage, a relative value indicating hundredth parts of any quantity.

Given,

The average number of people who attended football games at a stadium in 2005 is 8000.

The average number of people who attended football games at a stadium in 2012 is 12500.

The difference from average number of people from 2005 to 2012

12500-8000

Twelve thousand five hundred minus eight thousand

4500

To find the percentage of increase we need to divide change in number by original number

4500/8000

0.561

Now multiply with 100 because it is a hundredth part.

0.561×100=56.1

Hence 56.1% is the average number of people at the games increase from 2005 to 2012

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ2

Answer:

14.83 feet

Step-by-step explanation:

[tex]c^{2} =a^{2} +b^{2}[/tex]

a=[tex]\sqrt{16^{2}-6^{2} }[/tex]

a=14.83 feet

Answer:

put one number in front of the other

H(t) = -16t^2 +704t = -16(t^2 -44t)

Putting in vertex form: -16(t^2 -44t +484) + 704

h(t) = -16(t-22)^2 + 704

It takes 22 seconds to reach the maximum height, which is the vertex of the parabola at (22,704)

please mark me as the BRAINLIEST.....

Answer:

Step-by-step explanation:

Given function:

Maximum value is obtained at vertex. Using vertex formula to find the value of t at maximum height: x = -b/2a of a  quadratic formula ax² + bx + c

Answer:  (x+2)^2/x+2

= x+2 * x+2 / x+2

= x+2

Hope it helped u,

pls mark as the brainliest

^_^

Answer:

What does the "+8" mean in the expression 2x + 8?

The +8 is the 8 more advertisement orders received on Friday.

It's 8 more than x.

How many more advertisements were ordered on Friday than Thursday

8

The number of days

2

The number of advertisement ordered on Friday

x + 8

The total number of advertisement on both days

2x + 8

Answer:

A

Step-by-step explanation:

I took the test

Answer:

= 1

Step-by-step explanation:

0.4131 + 0.5868 = 0.999 --> 1

Answer:

r = 5:8

Step-by-step explanation:

5 pound to 8 people

Answer:

X1=0

Y1=-3

X2=4

Y2=1

Slope=(y2-y1)/(x2-x1)

Slope=(1-(-3))/(4-0)

Slope=4/4

Slope=1

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

100-13-38-11=38

So Jay has 38 dollars on the budget

Answer:

The answer is 10 and 37 degrees.

Step-by-step explanation:

Triangle angles add up to 180.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. thank you and have a nice day!

Answer:

Width of the rectangle = 10 feet

Length of the rectangle = 25 feet

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Let

Width of the rectangle = x feet

Length of the rectangle = 3x - 5 feet

Perimeter of the rectangle = 70 feet

Perimeter of a rectangle = 2(length + width)

70 = 2{x + (3x - 5)}

70 = 2{x + 3x - 5}

70 = 2(4x - 5)

70 = 8x - 10

70 + 10 = 8x

80 = 8x

Divide both sides by 8

x = 80 / 8

= 10

Width of the rectangle = 10 feet

Length of the rectangle = 3(10) - 5

= 30 - 5

= 25 feet

Answer:

B. -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

3r + 2 - r = -4

Step 2: Solve for r

Answer:

3

Step-by-step explanation:

15g

g=1/5

15×1/5

15/1×1/5=3

Answer:

3

Step-by-step explanation:

This is the answer because:

1) We have to substitute the value into the equation:

15(1/5)

2) Next, we have to mutiply 15 and 1/5 together since the g is just a variable that is supposed to be mutiplied with 15:

15(1/5) = 15/5 = 15 ÷ 5 = 3

Therefore, the answer is 3.

Hope this helps! :D

Answer:

The answer is "138.10"

Step-by-step explanation:

Let r also be cone base radius and h = the cone height.  

The radius for the original circle was on either side of the cone plied together = 7.  

The hypotenuse is 7, as well as a right triangle, is formed. So:

[tex]\to h^2+r^2 = 49\\\\ \to r^2 = 49-h^2[/tex]

Calculating the volume of the cone:

[tex]V = (\frac{1}{3}) \pi r^2 h \\\\[/tex]

   [tex]= (\frac{1}{3}) \pi (49 -h^2) h\\\\= (\frac{1}{3}) \pi 49h -h^3\\\\[/tex]

[tex]V'(h) = (\frac{1}{3}) \pi 49 - 3h^2\\\\[/tex]

Setting the derivative to zero and solving for h^2:

[tex]49-3h^2 = 0 \\\\ h^2 = \frac{49}{3} \\\\ r^2 = 49-\frac{49}{3} \\[/tex]

    [tex]= \frac{ 147 -49}{3} \\\\= \frac{98}{3} \\\\[/tex]

Calculating the maximum volume:

[tex]= \frac{1}{3} \pi \frac{98}{3} \frac{7\sqrt{3}}{3} \\\\= \frac{1}{3} \times 3.14 \times 32.66 \times 4.04 \\\\= \frac{1}{3} \times 3.14 \times 32.66 \times 4.04 \\\\= 138.10[/tex]

Answer:

45

Step-by-step explanation:

∡L ≅ ∡M, given  

ΔKLM is isosceles because base angles are congruent

KM ≅ KL and KM = KL

KL = 12

∡K =∡J = 60°, given

∡M = 180 -60 -60 , because sum of angles in a Δ is equal to 180°

∡M = 60

∡K =∡J =∡M =  60°

ΔKJM is is equilateral because all angles have the same measure.

KM = 12

KM = KJ = JM = 12 because the triangle is equilateral so all sides are equal

ML = 9, given

The perimeter of JKLM is the sum of the sides

P = ML +KL +KJ +MJ

P = 9 + 12 + 12 +12 = 9 +36 = 45

Answer:

well for me I think

Step-by-step explanation:

4/3×120

480/3

160