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fomenos
3 years ago
7

Add and simplify 9/10 + 1/9

Mathematics
1 answer:
arlik [135]3 years ago
3 0

Answer:

1

Step-by-step explanation:

81/90 + 9/81 = 90/90 = 1

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3 years ago
richard's annual take home pay is $34200. what is the maximum amount that he can spend per month paying off credit cards and loa
Umnica [9.8K]

Given is :

The annual income of Richard = $34200

Hence, his monthly income becomes = \frac{34200}{12} = $2850

So, the maximum amount that he can spend per month paying off credit cards and loans and not be in danger of credit overload can be a maximum of 20% of this income.

So, 20% of 2850 is = $570

Hence, approximately $570 can be spent a month.

As, the question has no options to choose from, but the question is complete in itself, so this is the best possible answer.

4 0
3 years ago
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An on-demand printing company has monthly overhead costs of $1,900 in rent, $450 in electricity, $80 for phone service, and $230
kotegsom [21]

Answer:

$40

It means that when an infinite number of pages are printed in a month then the fixed cost will be negligible.

Step-by-step explanation:

Given that:

Monthly overhead costs in rent = $1900

Costs in electricity = $450

Costs for phone service = $80

Costs for advertising and marketing = $230

Printing cost per thousand pages = $40

If number of pages printed are x thousand then cost of printing for x thousand pages = $40x

Average cost to print x thousand pages can be given as:

(Total fixed cost + Total cost of printing x thousand pages) divided by x

\dfrac{2660+40x}{x}

Now, it is given that an infinite number of pages are printed in a month, and we have to find the value that average cost would approach to.

\lim_{x \to \infty} (\dfrac{2660+40x}{x})

Let us solve the above limits.

\Rightarrow \lim_{x \to \infty} (\dfrac{2660}x+\dfrac{40x}{x})\\\Rightarrow \lim_{x \to \infty} (\dfrac{2660}x)+40\\\Rightarrow 40+\lim_{x \to \infty} (\dfrac{2660}x)

When

x\rightarrow \infty\Rightarrow \frac{2660}{x} \rightarrow 0

Putting the value in the limits, we get:

Average cost per thousand pages month would approach to \rightarrow \$40

It means that when an infinite number of pages are printed in a month then the fixed cost will be negligible.

3 0
3 years ago
Need help please with these questions
Korolek [52]

Answer:

33) $8440

34) $67,964.62

Step-by-step explanation:

33) The interest on 1 for 270 days is ...

... I = Prt = 1×0.09×(270/360) = 0.0675

so the proceeds from a loan with a face value of 1 will be

... 1 - 0.0675 = 0.9325

We want to find the face value of a loan with proceeds of $7870.30, so we need to solve the equation ...

... $7870.30 = P×0.9325

... P = $7870.30/0.9325 = $8440

34) The discount is computed from ...

... I = Prt = 70,000×0.063×(24/52) ≈ 2035.38

Then the amount Smith will pay for the T-bill is ...

... $70,000 -2035.38 = $67,964.62

7 0
4 years ago
What is the perimeter of a triangle with vertices located at (-1, 4), (2, 7), and (1, 5), rounded to the nearest hundredth? A. 7
Pavel [41]
We are given with the points (-1,4), (2,7) and (1,5) as the sides of the triangle. The area of the triangle can be determined by determining first the length of the sides. Via distance formula, the sides are 3 sqrt 2, sqrt 5 and sqrt 5. The perimeter thus is equal to 8.71 units
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3 years ago
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