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scZoUnD [109]
2 years ago
15

Naomi's car exponentially depreciates at a rate of 8% per

Mathematics
1 answer:
Dafna11 [192]2 years ago
7 0

The approximate original price of the car is $23032

<h3>How to determine the original price?</h3>

The given parameters are:

Rate, r = 8%

Price at 4 years old = 16,500

An exponential function is represented as:

y = a(1 - r)^x

Where a represents the initial value

This gives

y = a(1 - 8%)^x

Evaluate

y = a(0.92)^x

At 4 years old, we have:

16500 = a(0.92)^4

Divide both sides by (0.92)^4

a = 23032

Hence, the approximate original price of the car is $23032

Read more about exponential function at:

brainly.com/question/11464095

#SPJ1

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For what value of k will the lines x+2y=0, 3x-4y-10=0 and 5x+ky-7=0 are concurrent?​
konstantin123 [22]

Answer:

After solve the equations we get value of k=3

Step-by-step explanation:

We need to find value of k for which the lines x+2y=0, 3x-4y-10=0 and 5x+ky-7=0 are concurrent.

If the lines are concurrent, they pass through same point.

Let:

x+2y=0--eq(1)\\ 3x-4y-10=0--eq(2)\\ 5x+ky-7=0--eq(3)

First solving equation 1 and 2 to find values of x and y

From eq(1) we find value of x and put it in eq(2)

From \ eq(1) x+2y=0\\x=-2y\\Put x=-2y \ in \ eq(2)\\3x-4y-10=0\\3(-2y)-4y-10=0 \\-6y-4y=10\\-10y=10\\y=\frac{10}{-10}\\y=-1

After solving we get value of y=-1

Now putting in eq(1) to get value of x

x+2y=0\\x+2(-1)=0\\x-2=0\\x=2

So, Value of x= 2

Now put value of x=2 and y=-1 into eq(3) to find value of k

5x+ky-7=0\\5(2)+k(-1)-7=0\\10-k-7=0\\-k+3=0\\-k=-3\\k=3

So, After solve the equations we get value of k=3

4 0
3 years ago
What is the area of the shaded section?
Ray Of Light [21]

Answer:

270cm squared

area of shaded part rectangle is 180

are of triangle is 48 and 42 respectively you add the three to get 270

8 0
3 years ago
If the statement "If the sun is shining, then it's not raining" is assumed to be true, is its reverse, "If it's not raining, the
madreJ [45]
No, because it might be cloudy instead.

This is just like the statement, "All squares are rectangles" yet "All rectangles are squares" is not true.
3 0
3 years ago
Read 2 more answers
Please help me i have a hw
aalyn [17]

Answer:

1.B 2.H 3. A

Step-by-step explanation:

1. First, find out the percentage of people who voted for Mathematika in survey one.

The total amount of people who voted is 14+17+19, which equals 50. 17/50 people voted for Mathematika, 17/50 = 0.34.

To find out how many people out of 300 will vote for Mathematika, multiply the 0.34 by 300. 300 x 0.34 = 102, so 102 people will vote for Mathetika.

2. You use the same logic for number 2. 14+17+19+20+19+11 = 100, so 100 people voted in total. 34 people voted for Infinitus. 34/100 = 0.34. Multiply 0.34 by 750 to get 255 people will vote for Infinitus.

3. The mean = the average. To find the average, add up all of the numbers, then divide that number by the amount of numbers added together.

7+9+11+13+15 = 55

5 numbers were added together so you divide 55 by 5

55/5 = 11. The mean is 11

9+10+11+12+13 = 55

There were 5 numbers added together

55/5 = 11. Both the means were the same

4 0
3 years ago
2) Equations can have either 0, 1 or infinite number of solutions. Give an example of the following:
tino4ka555 [31]

The answer is<em> 3) An equation with infinite solutions.</em>

3 0
3 years ago
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