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zhannawk [14.2K]
3 years ago
12

Rachel has $100 in her savings account and deposits an additional $25 per week. joanna has $350 in her account and is saving $5

per week. after how many weeks will the two girls have the same amount of money?

Mathematics
1 answer:
mixer [17]3 years ago
4 0
This is the answer to this problem

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Write a simplified expression to find the perimeter of a square with a side length of 3y units.
Murrr4er [49]

Answer:

Perimeter= 12y units

3y(4) = 12y

Step-by-step explanation:

3y + 3y + 3y + 3y= 12y

4 0
2 years ago
This is a Differential Equations problem, I only need help on part 1 from question five. I need steps as well, thank you.
jolli1 [7]

Answer:

a) y(t) =  \sqrt{2t + 1 }

b) 1.5 hours after thickness will be 2 inches.

Step-by-step explanation:

\frac{dy}{dt}  =  \frac{1}{y}   \\   \\ ydy = dt  \\ \\ integrating \: both \: sides \\   \\  \int y \: dy =  \int 1 \: dt \\  \\  \frac{ {y}^{2} }{2}  = t + c \\  \\  {y}^{2}  = 2t + 2c \\  \\ y (t)=  \sqrt{2t + 2c} ...(1) \\  \\ a)  \:  \: \: plug \: t = 0 \: in \: (1) \\  \\  y (0)=  \sqrt{2(0) +2 c} \\  \\ y (0)=  \sqrt{0 +2 c} \\  \\ 1 =  \sqrt{2c}  \:  \: ( \because \: y (0)=1) \\  \\  2c = 1   \:  \implies \: c =  \frac{1}{2} \\  \\ plug \: c = \frac{1}{2} \: in \: (1) \\  \\ y(t) =  \sqrt{2t + 2 \times  \frac{1}{2} } \\  \\  \huge \:  \red {y(t) =  \sqrt{2t + 1 } } \\  \\b) \:  \:  plug \: y(t) = 2 \: in \: above \: equation \\  \\ 2 =  \sqrt{2t + 1}  \\  \\ 4 = 2t + 1 \: \\  (squaring \: both \: sides) \\  \\ 4 - 1 = 2t \\  \\ 2t = 3 \\  \\ t =  \frac{3}{2}  \\  \\ t = 1.5 \: hours \\

6 0
2 years ago
Help please i don’t know how to do it
nekit [7.7K]

Answer:

x + 3y = 15

Step-by-step explanation:

Line is passing through the points (3, \:4) = (x_1,\:y_1)\:and\: (9, 2)=(x_2,\:y_2)

Slope of line (m)= (2 - 4)/(9 - 3) = -2/6 = -1/3

Equation of line in point-slope form is given as:

y-y_1 =m(x-x_1)

Plugging the values of x_1,\: y_1\: and \: m in the above equation we find:

y-4 =-\frac{1}{3}(x-3)

\implies 3y-12 =-x+3

\implies x+ 3y =12+3

\implies \huge {\orange{\boxed{x+ 3y = 15}}}

This is the required equation of line in the form \red{\bold{ax + by = c}}

5 0
2 years ago
Tree pruning company A charges a one-time $100 equipment fee and charges $50 for each tree that it prunes. Tree pruning company
kobusy [5.1K]
The total cost that a customer should incur in its dealings with company A should be, 
                              c = 50t + 100
For company B
                              c = 60t + 80
Equating these two charges
                               c = 50t + 100 = 60t + 80
Thus, the answer is the fourth choice. 
8 0
3 years ago
Read 2 more answers
Which of the following statements are true about the equation below?
dangina [55]
The correct answer is 5
8 0
3 years ago
Read 2 more answers
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