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1 year ago

Is it possible to combine multiple discounts that are less than 100% off so that an item is 100% off and essentially free?

1 answer:

5 0

Sort of, say you take 99% off of something that is $100. You will end up paying $1. Then if you take another 99% off, you wil pay $0.01. Takig another 99% off will give you $0.001, but money only goes to two decimal points, so its free from a money standpoint, but there is still a cost.

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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Arada [10]

If $y=3x^2+30x+71$ , then
$y=3(x^2+10x)+71=3(x^2+2\cdot5x+25-25)+71$
$y=3((x+5)^2-25)+71=3(x+5)^2-75+71=3(x+5)^2-4$ . So, in the first gap you can write 5 and in the second you can write -4.
Since $(x+5)^2\ge 0$ , the minimum value of y is when $(x+5)^2=0$ . The solution of the last equation is x=-5 and then y=-4 -- these are numbers, which you can write in the third and fourth gaps.

5 0

1 year ago

Read 2 more answers

While Brendan is vacationing with his family at the cabin, they take a motorboat on the river. The motorboat travels

taurus [48]

Part 1: The speed of the boat traveling downstream is $(18+w)$ miles per hr.

The speed of the boat traveling upstream is $(18-w)$ miles per hr.

Part 2: The speed of the current is 4 miles per hour.

Explanation:

Part (1): The motorboat travels 18 miles per hour in still.

Let w represents the speed of the current.

When the boat travels downstream, the speed of the current will get added to the speed of the boat.

Thus, the expression can be written as $(18+w)$ miles per hr

Hence, the speed of the boat traveling downstream is $(18+w)$ miles per hr.

When the boat travels upstream, the speed of the current will get subtracted to the speed of the boat.

Thus, the expression can be written as $(18-w)$ miles per hr.

Hence, the speed of the boat traveling upstream is $(18-w)$ miles per hr.

Part (2): The boat travels 49 miles upstream in the same time it takes to travel 77 miles downstream.

The distance formula is given by $distance $=$ speed $\times$ time$

Substituting, we have,

$49=(18-w)t\\49=18t-wt$ ---------------(1)

$77=(18+w)t\\77=18t+wt$ ---------------(2)

Solving using elimination method,

$49=18 t-w t\\77=18 t+w t\\-------\\126=36t$

Dividing both sides by 36, we have,

$t=3.5$

Substituting $t=3.5$ in $49=18 t-w t$ , we get,

$49=18(3.5)-w (3.5)\\$

$49=63-3.5w\\$

$-14=-3.5w\\$

$4=w$

Thus, the speed of the current is $w=4$ miles per hour.

5 0

2 years ago

What is the value of x? Enter your answer, as a decimal, in the box. x= A right triangle with vertices labeled as A, B, and C. S

____ [38]

x=3.95

Explanation

From the given information we find that the triangle is right angled at C. CB is the base,AC is the height and AB is the hypotenuse.

Given that D is the hypotenuse of the hypotenuse AB.

BC=6

BD=4.2

AD=x

the height and the base of the triangle is given.

Using pythagoras theorem, we can find the hypotenuse AB.

$AB=\sqrt{AC^2+CB^2} \\=\sqrt{5^2+6^2} \\=\sqrt{25+36} \\=\sqrt{61} \\$

D is the midpoint of AB

therefore AD=AB/2= $\sqrt{61}/2$

=3.905

x=3.905 cm

6 0

2 years ago

Jim Ryan, an owner of a Burger King restaurant, assumes that his restaurant will need a new roof in 7 years. He estimates the ro

Lelu [443]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\to &\$9000\\
P=\textit{original amount deposited}\\
r=rate\to 6\%\to \frac{6}{100}\to &0.06\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, thus four}
\end{array}\to &4\\
t=years\to &7
\end{cases}
\\\\\\
9000=P\left(1+\frac{0.06}{4}\right)^{4\cdot 7}\implies 9000=P(1.015)^{28}\implies \cfrac{9000}{1.015^{28}}=P$

6 0

2 years ago

Marie bought 1/2 gallon of milk, which she finished after 6 days. If she drank the same amount of milk each day, how many gallon

Rama09 [41]

Gallons per day.......gallons / day.....so u put the gallons over the number of days, then divide

(1/2) / 6 = 1/2 * 1/6 = 1/12 of a gallon per day <==

3 0

2 years ago

Read 2 more answers