If $1 is 75 yen and there is $25, multiply 25*75 to get the total amount of yen. 25*75 = 1875 yen was what he had to pay
Question: An aquarium is on sale for $59.50. If this price represents a 15% discount from the original price, what is the original price?
First, you multiply the sale price and the 15% discount
![$59.50*.15 = [tex]$8.92](https://tex.z-dn.net/?f=%2459.50%2A.15%20%3D%20%5Btex%5D%248.92)
[/tex] (To change the percent to a decimal, you take out the percentage sign and divide by 100)
Now add $59.50 to $8.92
![59.50+8.92=$68.43](https://tex.z-dn.net/?f=59.50%2B8.92%3D%2468.43)
Answer:
$68.43 (when rounded to the nearest cent)
or
$68 (when rounded to the nearest dollar)
or
$70 (when rounded to the nearest ten dollar)
The expression 4x^2-px-7 leaves a remainder of -2 when divided by (x-3). Then the value of p is 10.33
<h3><u>
Solution:</u></h3>
Given the expression is
leaves a remainder of -2 when divided by (x-3)
To find: value of p
x - 3 = 0
x = 3
Let ![g(x) = 4x^2 - px - 7](https://tex.z-dn.net/?f=g%28x%29%20%3D%204x%5E2%20-%20px%20-%207)
Hence we can say,
g(3) = -2
Substitute x = 3 in g(x) we get,
![g(3) = 4(3)^2 - p(3) - 7\\\\-2 = 4(3)^2 - p(3) - 7](https://tex.z-dn.net/?f=g%283%29%20%3D%204%283%29%5E2%20-%20p%283%29%20-%207%5C%5C%5C%5C-2%20%3D%204%283%29%5E2%20-%20p%283%29%20-%207)
On solving we get,
-2 = 4(9) - 3p - 7
-2 = 36 - 3p - 7
3p = 36 - 7 + 2
3p = 31
![p = \frac{31}{3} = 10.33](https://tex.z-dn.net/?f=p%20%3D%20%5Cfrac%7B31%7D%7B3%7D%20%3D%2010.33)
Thus the value of p is 10.33