The total amount of money that was spent by Noel to cash her three (3) most recent paychecks is equal to $10.99.
<h3>What is a paycheck?</h3>
A paycheck can be defined as a financial document that is issued by an employer to an employee as payment for the work done over a period of time.
<h3>How to calculate the amount spent.</h3>
From the table, we can see that the amount of money charged by the bank as check processing fee is equal to $1.99, as well as 1.99% (0.0199) of the amount being cashed by a customer.
Thus, we would compute the amount of money spent by Noel as follows:
Noel = (0.0199 × 100.53) + (0.0199 × 119.38) + (0.0199 × 122.52) + (1.39 × 3)
Noel = 2.00 + 2.38 + 2.44 + 4.17
Noel = $10.99.
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the y intercept is the constant term on the x side
-6 * -2 which is 12
we can foil this out to see that
(x-6) (x-2)
x^2 -6x -2x+12
x^2 -8x+12
so the y intercept is (0,12)
The car travelled 200 meters
20 m/s times 10 = 200 m in 10 s
The velocity of the ship = 22 ∠157° = (22 cos 157°) i+ (22 sin 157°) j
The velocity of current = 5 ∠213° = (5 cos 213°) i+ (5 sin 213°) j
So, the resultant velocity = 22 ∠157° + 5 ∠213°
= (22 cos 157°) i+ (22 sin 157°) j + (5 cos 213°) i+ (5 sin 213°) j
= (22 cos 157° + 5 cos 213°) i + (22 sin 157° + 5 sin 213°) j
= -24.444 i + 5.873 j
= 25.14 ∠166.5°
The correct answer is option (1)
<span>1) 25 knots at 166.5 degree</span>
The lengths of the other two sides of the right triangle are 12 and 13
<h3>Pythagorean theorem </h3>
From the question, we are to determine the lengths of the other sides of the triangle
From the given information,
The other sides have lengths that are consecutive integers
Thus,
If the length of the other side is x
Then,
The hypotenuse will be x + 1
By the <em>Pythagorean theorem</em>, we can write that
(x+1)² = x² + 5²
(x+1)(x+1) = x² + 25
x² + x + x + 1 = x² + 25
x² - x² + x + x = 25 - 1
2x = 24
x = 24/2
x = 12
∴ The other leg of the right triangle is 12
Hypotenuse = x + 1 = 12 + 1 = 13
Hence, the lengths of the other two sides are 12 and 13
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