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3 years ago

A 5 pound tub of cottage cheese at n dollars per pound costs $10.25 .

Mathematics

1 answer:

Marat540 [252]3 years ago

3 0

Answer:

5n = $10.25

Step-by-step explanation:

We know that the tub is 5 pounds, and costs $10.25. We also know that n is in dollars per pound. Dollars per pound can be written as the product of dollars, divided by pounds, so we can plug that in being n = $10.25/5, next we want to make the equation contain an integer on both sides and not contain any fractions, so we multiply both sides by 5, resulting in 5n = $10.25

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3 years ago

A salesperson's weekly paycheck is 10% more than a second salesperson's paycheck. The two paychecks total $1075. Find the amount

Ksivusya [100]

Originally without the 10% extra, both have 100%. since the question stated that the first salesperson have 10% more, the percentage of his paycheck will be a total of 110%. on the other hand, the second salesperson will have only 100%. the question then stated that when both oaychecks are added together, it will give a total of $1075.

110% + 100% represents $1075
210% represents $1075

so now you need to find what is 1 %
1% represents $(1075/210)

the first salesperson have 110%, so you
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the first salesperson paycheck is $563.10

the second salesperson paycheck 100%. so you....
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3 years ago

If $25,000 is borrowed with an interest of 8.0% compounded annually, what is the total amount of money needed to pay it

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Answer:

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3 years ago

Read 2 more answers

A parabola has a focus of F(2, -0.5) and a directrix of y=-1.5 P(x,y) represents any point on the parabola, while D(x, -1.5) rep

prohojiy [21]

The sketch of the parabola is attached below

We have the focus $(a,b) = (2, -0.5)$
The point $P(x,y)$
The directrix, c at $y=-1.5$

The steps to find the equation of the parabola are as follows

Step 1
Find the distance between the focus and the point P using Pythagoras. We have two coordinates; $(2, -0.5)$ and $(x,y)$ .
We need the vertical and horizontal distances to find the hypotenuse (the diagram is shown in the second diagram).
The distance between the focus and point P is given by
$\sqrt{ (x-a)^{2}+ (y-b)^{2} }$

Step 2
Find the distance between the point P to the directrix $c$ . It is a vertical distance between y and c, expressed as $y-c$

Step 3
The equation of parabola is then given as
$\sqrt{ (x-a)^{2}+ (y-b)^{2} }$ = $y-c$
$(x-a)^{2}+ (y-b)^{2}= (y-c)^{2}$ ⇒ substituting a, b and c
$(x-2)^{2}+ (y--0.5)^{2} = (y--1.5)^{2}$
$(x-2)^{2}+ (y+0.5)^{2}= (y+1.5)^{2}$ ⇒Rearranging and making $y$ the subject gives

$y= \frac{ x^{2} }{2} -2x+1$

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4 years ago