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Nina [5.8K]
2 years ago
10

A new car is purchased for \$18,000$18,000 and over time its value depreciates by one half every 3.5 years. How long, to the nea

rest tenth of a year, would it take for the value of the car to be \$900$900?
Mathematics
1 answer:
Taya2010 [7]2 years ago
5 0

Answer:

15.1

Step-by-step explanation:

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Drag tiles to fill in the blanks to complete the expression that could be used to predict the number of winners of a game. Tiles
ziro4ka [17]

Answer:

First blank - A)Total Number of Possible Outcomes

Second blank - B)Number of Winners

Step-by-step explanation:

The exact question is as follows :

We know that,

Probability of an event is equals to Total number of Favorable outcomes divided by Total number of outcomes

So,

P(event) = Number of favorable outcomes ÷ Total Number of Possible Outcomes

As we have to predict the Number of winners of a game

So,

P(Number of winner) = Number of winners ÷ Total number of Contestants

∴ we get

P(event) = Number of favorable outcomes ÷ Total Number of Possible  Outcomes

             = Number of winners ÷ Total number of Contestants

4 0
2 years ago
What is the solution set of {x|x<-3} intersection {x|x>5}?
ziro4ka [17]
There’s no solution because x is less than 3 there is no way is greater than 5.

Hope this helps!
8 0
2 years ago
Which real numbers are zeros of the function?
monitta
<h3><u>The roots are -1/2, 0, 2, and 3.</u></h3>

Let's trying factoring this polynomial.

We can factor an x out of each term to start.

x(2x^3 - 9x^2 + 7x + 6)

We now know one of the roots is going to be zero.

Using the rational roots theorem, and the remainder theorem, we can try to find some more roots that way.

Factors of 6: 1, 2, 3, 6.

Factors of 2: 1

Possible rational roots: +/-1/2, +/-1, +/-2, +/-3/2, +/-3, +/-6

Using the remainder theorem, we can plug these values into the polynomial, and if we get a remainder of zero, we know it's a root.

-1/2(2(-1/2)^3 - 9(-1/2)^2 + 7(-1/2) + 6) = 0

Our first root is -1/2.

We can successfully factor a -1/2 out of this polynomial.

After diving the polynomial by -1/2, we're left with: 2x^2 - 10x + 12.

We can now try using the AC method to get our last two roots.

First, we can factor this polynomial to simplify it.

Divide all terms by 2.

2(x^2 - 5x + 6)

Now let's try using the AC method.

The digits -3 and -2 satisfy the criteria.

2(x - 3)(x - 2)

We now have all of our roots: 0, -1/2, 2, and 3.


6 0
3 years ago
Write the series using summation notation. Then find the sum of the series.
ivolga24 [154]

Hello, please consider the following.

\displaystyle 1+2+3+...+12=\sum_{k=1}^{k=12} {k}=\dfrac{12*13}{2}=6*13=78

For the second we will need to put on the same denominator.

\displaystyle \dfrac{1}{2}+\dfrac{1}{4}+...+\dfrac{1}{14}=\sum_{k=1}^{k=7} {\dfrac{1}{2k}}\\\\=\dfrac{1}{2}\dfrac{420+210+140+105+84+70+60}{5*7*3*2*2}\\\\=\dfrac{1}{2}\dfrac{1089}{420}\\\\=\dfrac{1089}{840}=1.296429...

Thank you.

3 0
3 years ago
Question 5
Vikentia [17]

The amount of sales (S) of statin in billions of dollars by 2017 is 34.5 billions

<h3>Linear equations</h3>

Linear equation are equation that has a leading degree of 1. Given the equation that represents Statins used to keep cholesterol in check and are a top-selling drug in the U.S.

S-1.5x = 6

where

S is the amount of sales

x is the number of years after 1998

By 2017, the total number of  years is 19 years

Substitute

S = 1.5x + 6

S = 1.5(19) + 6

S = 28.5 + 6

S = 34.5

The amount of sales (S) of statin in billions of dollars by 2017 is 34.5 billions

Learn more on linear equation here: brainly.com/question/14323743

#SPJ1

6 0
1 year ago
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