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bekas [8.4K]
3 years ago
10

2 different companies offer online subscriptions. Company A charges $75 upfront and $20 per month. Company B does not charge the

upfront fee but charges $35 per month after how many months will the two companys charge the same amount
Mathematics
1 answer:
ki77a [65]3 years ago
4 0

Answer:

15 months

Step-by-step explanation:

Given that company A charges  \$75 upfront and \$20 per month and company B does not charge the upfront fee but charges \$35 per month.

Let after n months both the company charges the same amount.

Total charges by the company A=\$ (75+n\times 20) and total charges by the company B=\$ (n\times 35).

Now, from the given condition both the charges are equal, so

75+n\times 20=n\times 35 \\\Rightarrow 75= 35 n - 20 n\\\Rightarrow 75= 15 n \\\Rightarrow n= \frac {75}{5} \\\Rightarrow n= 15

Hence, after 15 months both the company charges the same amount.

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Find the solution of this system of equations.
solmaris [256]
X=5+y

Substitute the value of x in second equation
28x – 9y= -12
28 (5+y)-9y =-12
140 +28y -9y =-12
140 +19y= -12
19y = - 152
y= -8



Now let's find the value of x using y

x= 5+y
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So,
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3 years ago
Sam needs to cut a piece of sheet metal into 8 pieces. It takes him 5minutes to make each cut. How many cuts will sam make?
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3 years ago
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Of the 2,598,960 different five-card hands possible from a deck of 52 playing cards, how many would contain all black cards.
kumpel [21]

Answer: 65,780

Step-by-step explanation:

When we select r things from n things , we use combinations and the number of ways to select r things = ^nC_r=\dfrac{n!}{(n-r)!r!}

Given : The total number of playing cards in a deck = 52

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Hence, the number of different five-card hands possible from a deck of 52 playing cards such that all are black cards = 65,780

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3 years ago
Is the following relation a function?<br><br> X Y<br> 6 -1<br> -1 2<br> 4 3<br> 0 3
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A relation is said to be a function if no value in its domain is paired up with more than one value in its range.

Since x values represent the Domain of a relation and y values represent the Range of a relation, in terms of x and y we can say:

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3 years ago
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