Sam and Mathew went to Taco Bell for lunch Sam ordered 2 tacos and 3 burritos while Matthew ordered 3 tacos and 5 burritos Sam’s
2 answers:
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To solve the problem we need to know about depreciation.
<h2>Formula of Depreciation</h2>The formula of depreciation is given as,
where,
A is the value of an object after t years of time,
P is the value of the object at the beginning, and
r is the rate of depreciation.
The value of the car after 11 years is $4,603.81.
<h2>Explanation</h2>Given to us
- Cost of Car at the beginning, p = $20,000
- Rate of depreciation, r = 12.5%
- Time, t = 11 years
Substituting the values in the formula of depreciation,
Value of the car after 11 years =
Hence, the value of the car after 11 years is $4,603.81.
Learn more about Depreciation:
Answer:
Step-by-step explanation:
Given
Represent the temperature in Tucson with T and that in Minneapolis with M.
From the first statement, we have:
From the second, we have:
or
--- i.e. both are opposite numbers
Required
Find T
To calculate T, substitute -T for M in
This gives:
Collect Like Terms
Make T the subject
Hence, the temperature in Tucson is
Answer:
The length of the diagonal = 3.6 feet
Step-by-step explanation:
* Lets change the story problem to equation to solve it
- Diagonal in a rectangle is the line which joining two
opposite vertices in it
- The diagonal , the length and the width formed together right
angle triangle where the diagonal is the hypotenuse of the
triangle and the length, the width are the two legs of the
right angle
- The length of the diagonal d is √(l² + w²) ⇒ Pythagoras theorem
∴ d² = l² + w²
- The diagonal is 2 feet more than the width
∴ d = w + 2
- The length is twice the width
∴ l = w
* Lets substitute the value of d and l in the equation of Pythagoras
∴ (w + 2)² = (2w)² + w² ⇒ solve the bracket
∴ w² + 4w + 4 = 4w² + w² ⇒ collect them in one side and add like term
∴ 4w² + w² - w² - 4w - 4 = 0 ⇒ add the like term
∴ 4w² - 4w - 4 = 0 ⇒ divide all term by 4
∴ w² - w - 1 = 0 ⇒ solve the quadratic using the formula
- In ax² + bx + c = 0
∵ a = 1 , b = -1 , c = -1
∴
-The value of the width is 1.6 feet
∴ The length = 1.6 × 2 = 3.2 feet
∴ The length of the diagonal = 2 + 1.6 = 3.6 feet