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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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Sergio039 [100]

Answer:

\displaystyle 4.\overline{15} = \frac{137}{33}.

Step-by-step explanation:

Start by separating this decimal number into its integer part and its fraction part:

4.151515\cdots = 4 + 0.151515\cdots

The most challenging task here is to express 0.151515\cdots as a proper fraction. Once that fraction is found, expressing the original number 4.151515\cdots will be as simple as rewriting a mixed number as an improper fraction.

Let x = 0.151515\cdots. (x + 4) would then represent the original number.

Note that the repeating digits appear in groups of two. Therefore, if the digits in x are shifted to the left by two places, the repeating part will continue to match:

\begin{aligned}x = 0.&151515\cdots && \\ 100\, x = 15.& 151515\cdots \end{aligned}.

Note, that this "shifting" is as simple as multiplying the initial number by 100 (same as 10 raised to the power of the number of digits that needs to be shifted.)

Subtract the original number from the shifted number to eliminate the fraction part completely:

\begin{aligned}&(100\, x) - x \\ &= 15.151515\cdots\\  & \phantom{=}- 0.151515\cdots\\&=15 \end{aligned}.

In other words:

99\, x = 15.

\displaystyle x = \frac{15}{99} = \frac{5}{33}.

Therefore, the original number would be:

\displaystyle x + 4 = \frac{5}{33} = \frac{132 + 5}{33} = \frac{137}{33}.

4 0
3 years ago
A dairy scientist is testing a new feed additive. She chooses 13 cows at random from a large population of cows. She randomly as
mina [271]

Answer:

Step-by-step explanation:

Given that a dairy scientist is testing a new feed additive. She chooses 13 cows at random from a large population of cows. She randomly assigns nold = 8 to get the old diet, and nnew = 5 to get the new diet including the additive.

From the data given we get the following

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df = 11

Std dev for difference = 13.3689

a) Yes the two are independent.  The two sets of cows randomly chosen are definitely independent. Paired means equal number should be there and homogeneous conditions should be maintained.

b) Enclosed

c) Comparison of two means is the test recommended here.  Because independent samples are used.\

d) Test statistic= -3.1233

(because of unequal variances we use that method)

95% confidence interval =  ( -56.6676 , -3.3324 )

p value <0.05 our alpha

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3 0
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harina [27]

Answer:

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Step-by-step explanation:

70 combinations of four books can be made from eight different books.

4 0
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valentina_108 [34]
No idea hope you figure it out tho !!
maybe 3?
7 0
3 years ago
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Jackson is 5 years old. His brother Micah is 20 years older than him. Which equation represents Micah's age in comparison with J
mina [271]

Answer:

M=5+20

Step-by-step explanation:

I’m using M for representing Micah’s age.

This would represent Micah’s age because it says that Micah is 20 years older than Jackson, who is 5. Therefore, you would just need to add 5 and 20 together. Micah is 25 years old.

8 0
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