Ask question

Ask question

All categories

3 years ago

9

At one gym, there is a $12 start-up fee, and after that each month, m, at the gym costs $20. At another gym, each month at the g

ym costs $22. After how many months will the cost of both gyms be the same? =

1 answer:

Nutka1998 [239]3 years ago

6 0

6 weeks
Because 132/22=6 and 132-12/20=6

You might be interested in

Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initial-value problem y' = x2y − 1 2 y

irina [24]

Answer:

Therefore the value of y(1)= 0.9152.

Step-by-step explanation:

According to the Euler's method

y(x+h)≈ y(x) + hy'(x) ....(1)

Given that y(0) =3 and step size (h) = 0.2.

$y'(x)= x^2y(x)-\frac12y^2(x)$

Putting the value of y'(x) in equation (1)

$y(x+h)\approx y(x) +h(x^2y(x)-\frac12y^2(x))$

Substituting x =0 and h= 0.2

$y(0+0.2)\approx y(0)+0.2[0\times y(0)-\frac12 (y(0))^2]$

$\Rightarrow y(0.2)\approx 3+0.2[-\frac12 \times3]$ [∵ y(0) =3 ]

$\Rightarrow y(0.2)\approx 2.7$

Substituting x =0.2 and h= 0.2

$y(0.2+0.2)\approx y(0.2)+0.2[(0.2)^2\times y(0.2)-\frac12 (y(0.2))^2]$

$\Rightarrow y(0.4)\approx 2.7+0.2[(0.2)^2\times 2.7- \frac12(2.7)^2]$

$\Rightarrow y(0.4)\approx 1.9926$

Substituting x =0.4 and h= 0.2

$y(0.4+0.2)\approx y(0.4)+0.2[(0.4)^2\times y(0.4)-\frac12 (y(0.4))^2]$

$\Rightarrow y(0.6)\approx 1.9926+0.2[(0.4)^2\times 1.9926- \frac12(1.9926)^2]$

$\Rightarrow y(0.6)\approx 1.6593$

Substituting x =0.6 and h= 0.2

$y(0.6+0.2)\approx y(0.6)+0.2[(0.6)^2\times y(0.6)-\frac12 (y(0.6))^2]$

$\Rightarrow y(0.8)\approx 1.6593+0.2[(0.6)^2\times 1.6593- \frac12(1.6593)^2]$

$\Rightarrow y(0.6)\approx 0.8800$

Substituting x =0.8 and h= 0.2

$y(0.8+0.2)\approx y(0.8)+0.2[(0.8)^2\times y(0.8)-\frac12 (y(0.8))^2]$

$\Rightarrow y(1.0)\approx 0.8800+0.2[(0.8)^2\times 0.8800- \frac12(0.8800)^2]$

$\Rightarrow y(1.0)\approx 0.9152$

Therefore the value of y(1)= 0.9152.

4 0

3 years ago

Find the equation of the linear function represented by the table below in slope-intercept form.

Lostsunrise [7]

1/2 37373722828292837372829191

5 0

2 years ago

Factor 2x(squared)-9x-18?

Finger [1]

Here: =(2x+3)(x-6) =2x²-12x+3x-18 =2x²-9x-18 So the answer is (2x+3)(x-6)

7 0

3 years ago

The square of a certain negative number is equal to five more than one-half of that number. What is the number?

Goryan [66]

The answer is -2 yes das right

5 0

2 years ago

SOMEONE PLEASE HELP ME

notka56 [123]

Area of deck= 2(20w)+4(w^2)+2(50w)d
456=2(20w)+4(w^2)+2(50w)

456=40w+4w^2+100w

456=4w^2+140w

114=w^2+35w

0=w^2+35w-114

find what 2 numbers multiply to get 114 and add to get 35 and factor

-3 and 38

0=(w-3)(w+38)

set each to zero

w-3=0

w=3

3 0

3 years ago