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Svet_ta [14]
3 years ago
12

A car has an initial value of $20,000. The value then "depreciates" or decreases by 10% of its initial value each year. Which eq

uation below gives the value of the car, v, after y years?
A) v= 0.10y+ 2,000
B) v= 0.10y -2,000
C) v=2,000y-20,000
D) v=-2,000y+20,000
Mathematics
1 answer:
Elden [556K]3 years ago
8 0

Answer:

D) v = -2,000y + 20,000.

Step-by-step explanation:

The question gives a linear relationship between two quantities.  This means that the relationship between the initial value of the car and the amount it depreciates each year is proportional, or constant.  Since the value of the car decreases by 10% of its initial value each year, then each year the value will decrease by 10% of 20,000 or 0.10 x 20000 = $2,000.  Since we know the value is decreasing each year, this amount would be subtracted from the initial value of $20,000.  So, D) v = -2,000y + 20,000 would be the only equation that represents this scenario.  

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Sloane kicked a soccer ball at a speed of 56 feet per second. If the ball never leaves the ground, then it can be represented by
aksik [14]

Answer:

Third option: t=3.5\ seconds

Step-by-step explanation:

Given the function:

 H(t)=-16t^2 +56t

 Since the ball never leaves the ground, you need to  substitute H(t)= 0 in the function in order to determine the time the soccer ball traveled:

0=-16t^2 +56t

Factorizing, you get:

0=-8t(2t-7)

Then:

0=-8t\\\\t=0\ seconds\\\\\\\\0=2t-7\\\\7=2t\\\\t=3.5\ seconds

Therefore the time the ball traveled was:

t=3.5\ seconds

3 0
2 years ago
Perimeter is the distance around a figure or region.<br> a. true<br> b. false
makkiz [27]
A. True

The sum of the distances round the shape is the Perimeter.
3 0
2 years ago
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What kind of change occurs when a figure is translated?
vagabundo [1.1K]
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3 0
3 years ago
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Dewan’s bank account balance is -$16.75. He deposits checks totaling $23.59. What is his new balance?
Brilliant_brown [7]

Answer:

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Step-by-step explanation:

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Suppose a normal distribution has a mean of 222 and a standard deviation of 16. What is the probability that a data value is bet
valentina_108 [34]
Mean of the distribution = u = 222
Standard Deviation = s = 16

We have to find the probability that a value lies between 190 and 230.

First we need to convert these data values to z score.

z= \frac{x-u}{s}

For x = 190, 
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For x = 230
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So, we have to find the percentage of values lying between z score of -2 and 0.5

P( -2 < z < 0.5) = P(0.5) - P(-2)

From standard z table, we can find and use these values.

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