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eduard
3 years ago
14

Jacob has $1,000 in a checking account and withdraws $40 each week. His account requires a minimum balance of more than $400. Wr

ite an inequality to model the number of weeks, x, that he can withdraw $40 to maintain the minimum balance requirement.
Mathematics
1 answer:
vova2212 [387]3 years ago
6 0

Answer:

1000-40x>400

Step-by-step explanation:

Let's call B the balance of Jacob's checking account. Each week he withdraws $40 from his actual balance of $1000, so if x is the number of weeks, the account's balance is

B=1000-40x

The balance must be more than $400, which means

1000-40x>400

That is the inequality to model the situation. If we wanted to know the limit for x, we can solve the inequality. Operating:

1000-400>40x

600>40X

x

Or x<15

Which means Jacob can withdraw $40 14 times at most to maintain the minimum balance requirement

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Vera_Pavlovna [14]

Answer:

The value of b is -42

Step-by-step explanation:

Parallel equations have identical or equal slopes. Given the form of the equation; y=5x+b and the point it passes through (8,-2) we determine the unknown value b by substituting x with 8 and y with -2. We solve the equation; -2 =5(8)+b to obtain b = -42

5 0
3 years ago
What is 218,742 rounded to the nearest hundred thousand?
xxMikexx [17]

Answer:

200,000

Step-by-step explanation:

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4 0
3 years ago
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8 0
3 years ago
3x + 6y = 4y - 4
gulaghasi [49]

Answer: y = 2/3x + 41/3

Step-by-step explanation:

First convert the equation into slope-intercept  

3x + 6y = 4y  - 4

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3x + 2y = -4

-3x            -3x

  2y = -3x - 4

  y = -3/2x - 2  

Perpendicular lines have a negative reciprocal for their slopes.

The negative reciprocal of -3/2  is   2/3

Now using the slope 2/3 you will use the formula  y =mx +b  and input the  slope, and the x and y coordinates of the given point, (-10,7), to solve for the y-intercept.

  7 = 2/3(-10) + b

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Since the the y-intercept is 41/3 then the equation will be , y = 2/3x + 41/3

   

4 0
3 years ago
Help.this question ha sbeen egttin on my nerves for days
pogonyaev

Answer: 8y4+25y3+60y2+10y+7

Step-by-step explanation:

(y2+3y+7)(8y2+y+1)

=(y2+3y+7)(8y2+y+1)

=(y2)(8y2)+(y2)(y)+(y2)(1)+(3y)(8y2)+(3y)(y)+(3y)(1)+(7)(8y2)+(7)(y)+(7)(1)

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=8y4+25y3+60y2+10y+7

hope this helps!:)

8 0
3 years ago
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