Answer:
$13,793
Step-by-step explanation:
Kate purchased a car for $23,000. It will depreciate by a rate of 12% a year. What is the value of the car in 4 years. *
The formula for Depreciation rate =
y = a(1 - r) ^t
Where
y = Value of the car after t years
a = Initial value of the car = $23,000
t= time in years = 4 years
r = Depreciation rate = 12% = 0.12)
y = $23000 (1 - 0.12)⁴
y = $13792.99328
Approximately = $13,793:
The correct answer is: [D]: " 7.2 units" .
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Explanation:
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Use the Pythagorean theorem:
a² + b² = c² ;
in which: "6 units" and "4 units" equal the lengths of the right angle (formed by the rectangle); and "c" is the length of the diagonal of the rectangle, or the "hypotenuse", of the right triangle formed by the rectangle; We wish to solve for "c" ;
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6² + 4² = c² ; Solve for "c" ;
↔ c² = 6² + 4² ;
= (6*6) + (4*4) ;
= 36 + 16 ;
= 52 ;
c² = 52 ;
Take the "positive square root" of each side of the equation; to isolate "c" on one side of the equation; and to solve for "c" ;
√(c²) = √52 ;
c = √52 ;
At this point, we know the 7² = 49 ; 8² = 64 ; so, the answer is somewhere between "7" and "8" ; yet closer to "7" ; so among the answer choices given;
The correct answer is: [D]: " 7.2 units" .
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However, let use a calculator:
c = √52 = 7.2111025509279786 ; which rounds to "7.2" ;
which corresponds to:
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Answer choice: [C]: " 7.2 units" .
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We know that the width of the garden is = 
feet = 6.75 feet
and Perimeter of the garden is = 37.5 feet
Also, we know that for a rectangular space perimeter = 2 * (l + w)
⇒ 37.5 = 2 * (l + 6.75)
⇒ 37.5 = 13.5 + 2*l
⇒ 24 = 2*l
⇒ l = 12 feet
Now, we need to determine how much square feet of mulch is required, hence we need to calculate the area of the garden
Area = l * w
⇒ Area = 12 * 6.75
⇒ Area = 81 square feet
Hence, they require 81 square feet of mulch
Answer:
y = 2x - 5
Step-by-step explanation:
She originally had $320 in her savings. 48 times 100= 4,800. 4,800 divided by 15=320.
