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xz_007 [3.2K]
3 years ago
12

Lana bought a sports car for $75,700. If the value of her car decreases 4.3% annually.

Mathematics
1 answer:
Andrei [34K]3 years ago
7 0

Given:

The initial value of the car = $75,700

Decreasing rate = 4.3%

To find:

The value of r in the exponential DECAY formula.

Solution:

The exponential decay formula is:

y=a(1-r)^t

Where, a is the initial value, r is the rate of decay on decimal and t is the time period.

The initial value of the car is $75,700 and its value decreases 4.3% annually. So,

a=75,700

r=\dfrac{4.3}{100}

r=0.043

The required exponential decay formula is:

y=75,700(1-0.043)^t

Therefore, the value of r in the exponential decay formula is 0.043.

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Your brother is 1/5 your age. Your sister is 9 years older than your brother. Your sister is 11 years old. Write and solve an eq
Papessa [141]
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The answer is 10

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5 0
3 years ago
PRE CALCULUS
Mumz [18]
Start with the parent function f(x) = x³

Notice the function f(x) = (x - 4)³ that a value '4' is subtracted from 'x' ⇒ This means the function f(x) is translated four units to the right.

Then the function f(x) = ¹/₂ (x - 4)³, the function (x - 4)³ is halved vertically ⇒ Half the y-coordinate

Then the function f(x) = ¹/₂ (x - 4)³ + 5 that a value '5' is added to ¹/₂ (x - 4)³ ⇒ This means the function f(x)  is translated five units up

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3 0
3 years ago
You need to rent a bowling lane. On Friday nights, you have two options. Option A is a $20 lane rental plus $3 per game. Option
ExtremeBDS [4]

For 5 games, the cost will be equal for each option.

Step-by-step explanation:

Given,

Lane rental of offer A = $20

Per game charges = $3

Let,

x be the number of games.

A(x) = 3x + 20

Lane rental is $35 for maximum 10 games.

B(x) = 35

For the cost to be same;

A(x) = B(x)

3x+20=35\\3x=35-20\\3x=15

Dividing both sides by 3

\frac{3x}{3}=\frac{15}{3}\\x=5

For 5 games, the cost will be equal for each option.

Keywords: function, division

Learn more about functions at:

  • brainly.com/question/10772025
  • brainly.com/question/10879401

#LearnwithBrainly

6 0
3 years ago
Researchers investigated whether insomnia is related to education status. Adults living in a certain region were selected to par
Degger [83]

Answer:

A) 8 treatments

  1. Normal​ sleeper, high school dropout
  2. Normal​ sleeper, high school graduate
  3. .Normal​ sleeper, college graduate
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  5. Chronic​ insomnia, high school graduate
  6. Chronic​ insomnia, high school dropout
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B) 8 treatments

Step-by-step explanation:

<u>A) determine the number of treatments for this study </u>

The number of treatments for this study can be determined as : 2 * 4 = 8 treatments

and they are :

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B) eight (8 ) treatments

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3 years ago
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