Answer:
$912
Step-by-step explanation:
First, find the tax.
Multiply the tax rate by the price.
tax rate * price
The tax rate is 14% and the price is $800.
14% * 800
Convert 14% to a decimal. Divide 14 by 100 or move the decimal places 2 spaces to the left.
14/100=0.14
14.0–> 1.4 —> 0.14
0.14 * 800
Multiply
112
The tax is $112.
Now find the total bill.
Add the tax and the price.
tax + price
The tax is $112 and the price is $800.
$112 + $800
Add
$912
The final bill is $912.
Answer:
D. Pythagorean
Step-by-step explanation:
Given the identity
cos²x - sin²x = 2 cos²x - 1.
To show that the identity is true, we need to show that the left hand side is equal to right hand side or vice versa.
Starting from the left hand side
cos²x - sin²x ... 1
According to Pythagoras theorem, we know that x²+y² = r² in a right angled triangle. Coverting this to polar form, we have:
x = rcostheta
y = rsintheta
Substituting into the Pythagoras firnuka we have
(rcostheta)²+(rsintheta)² = r²
r²cos²theta+r²sin²theta = r²
r²(cos²theta+sin²theta) = r²
(cos²theta+sin²theta) = 1
sin²theta = 1 - cos²theta
sin²x = 1-cos²x ... 2
Substituting equation 2 into 1 we have;
= cos²x-(1-cos²x)
= cos²x-1+cos²x
= 2cos²x-1 (RHS)
This shows that cos²x -sin²x = 2cos²x-1 with the aid of PYTHAGORAS THEOREM
Answer:
The original selling price would be $ 515.87 ( approx )
Step-by-step explanation:
Let x be the original selling price ( in dollars ),
After marking down 10%,
New selling price = x - 10% of x = x - 0.1x = 0.9x
Again after marking down 30%,
Final selling price = 0.9x - 30% of 0.9x
= 0.9x - 0.3 × 0.9x
= 0.9x - 0.27x
= 0.63x
According to the question,
0.63x = 325
Hence, the original selling price would be $ 515.87.
Answer:
5x+14y+9z
Step-by-step explanation:
combine 8x and -3x to get 5x
combine 5y and 9y to get 13y
combine -4z and 13z to get 9z
Answer:
Slope = 
Step-by-step explanation:
We can define the slope as the "change in y values" divided by the "change in x values".
By change in, we mean, 2nd point MINUS the first point values.
The points given is:
(1,4) & (-1,-1)
<u>Change in y value:</u>
-1 - 4 = -5
<u>Change in x value:</u>
-1 -1 = -2
Slope is -5/-2 = 5/2
There is no answer choice. The correct answer is 5/2
