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Elenna [48]
3 years ago
9

Parsons Bank offers two​ checking-account plans. The No Frills plan charges 35cents per check whereas the Simple Checking plan c

osts ​$ 6per month plus 15cents per check. For what number of checks per month will the Simple Checking plan cost​ less?
Mathematics
2 answers:
Monica [59]3 years ago
7 0

Hey your answer.... Plz mark me as BRAINLIEST..

Answer:

For more than 35 checks the simple checking plan cost less.

Step-by-step explanation:

Let for x number of checks per month will the simple checking plan cost less.

Given,

In no frill checking plan,

Per month charges = $ 0,

Charges for per check = 40 cents = $ 0.40,

Thus, the cost for x checks in a month = 0 + 0.40x = 0.40x

In simple checking plan,

Per month charges = $ 7,

Charges for per check = 20 cents = $ 0.20,

Thus, the cost for x checks in a month = 7 + 0.20x

Hence, we can write,

0.40x > 7 + 0.20x

0.20x > 7

x > 35

Therefore, for more than 35 checks the simple checking plan cost less.

Mnenie [13.5K]3 years ago
4 0

Answer:

No frills = $0.25(x)

simple = $6 + $0.05(x)

set equal to each other

0.025(x) = 6 + 0.05(x)

rearrange like terms together

0.025(x) - 0.05(x) = 6

0.020(x) = 6

x =300

Simple plan will be cheaper once you use more than 300 checks

Step-by-step explanation:

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pishuonlain [190]

Answer:

1. 2(3x−2)(2x−3)

2. 3(3x+1)(2x+5)

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5. 5(3x+1)(2x−5)

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9. 2(7x−3)(2x−3)

10. 4(5x−11)(2x+1)

11. 5(x−2)(x+12)

12. (x−1)(x−8)

15. x=1 or x=4

Step-by-step explanation:

1. Factor 12x2−26x+12

12x2−26x+12

=2(3x−2)(2x−3)

2. 3(3x+1)(2x+5)

3. Factor 16x2−36x−10

16x2−36x−10

=2(4x+1)(2x−5)

4. Factor 16x2+64x+28

16x2+64x+28

=4(2x+1)(2x+7)

5. Factor 30x2−65x−25

30x2−65x−25

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6. Factor 18x2−33x−21

18x2−33x−21

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7. Factor 45x2−3x−18

45x2−3x−18

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8. Factor 28x2−78x+20

28x2−78x+20

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x2−9x+8

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Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get -9

Multiply together to get 8

Can you think of the two numbers?

Try -1 and -8:

-1+-8 = -9

-1*-8 = 8

Fill in the blanks in

(x+_)(x+_)

with -1 and -8 to get...

(x-1)(x-8)

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

(x−2)(x−3)=2

Step 1: Simplify both sides of the equation.

x2−5x+6=2

Step 2: Subtract 2 from both sides.

x2−5x+6−2=2−2

x2−5x+4=0

Step 3: Factor left side of equation.

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Step 4: Set factors equal to 0.

x−1=0 or x−4=0

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Sorry I wasn't able to do 13 and 14 but hope this helps! :)

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2 years ago
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