Answer:
896.64
Step-by-step explanation:
To find the final price of the laptop you take the entire price of the laptop, 1, and add the sales tax amount of .0975 to get 1.0975. You multiply this amount with the listed price to get the final amount paid, the laptop plus sales tax. $816.98 x 1.0975 = 896.6356. This rounds to 896.64
Answer:
Discount percentage is 16.4% for the customers who purchase 6- coupon book .
Step-by-step explanation:
Formula
As given
Your station charges $15.95 for an oil change.
Original charge of the oil change for 6 times = 6 × Original charge for oil change .
= 6 × 15.95
= $ 95.7
As a promotion you sell six coupons for oil changes for $80.
Discount = Original charge of the oil change for 6 times - Charge by six coupons for oil changes .
= $95.7 - $80
= $ 15.7
Putting all the values in the above
Discount percentage = 16.4%
Therefore the discount percentage is 16.4% for the customers who purchase 6- coupon book .
The question follows the special product rule of polynomials.
(a-b)(a+b) = a^2 - b^2
From the given, (3-2i)(3+2i), then the answer will be 3^2 - (2i)^2
simplifying the answer:
9 - 4i^2
Take note that i = square root of -1
Then, i^2 = -1
So, 9 - (4 * -1)
= 9 - -4
= 13.
So the answer is 13.
Factor out the common term; 3
(3(x + 1))^2 = 36
Use the Multiplication Distributive Property; (xy)^a = x^ay^a
3^2(x + 1)^2 = 36
Simplify 3^2 to 9
9(x + 1)^2 = 36
Divide both sides by 9
(x + 1)^2 = 36/9
Simplify 36/9 to 4
(x + 1)^2 = 4
Take the square root of both sides
x + 1 = √4
Since 2 * 2 = 4, the square root of 2 is 2
x + 1 = 2
Break down the problem into these 2 equations
x + 1 = 2
x + 1 = -2
Solve the first equation; x + 1 = 2
x = 1
Solve the second equation; x + 1 = -2
x = -3
Collect all solutions;
<u>x = 1, -3</u>
