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melisa1 [442]
3 years ago
7

A textbook search committee is considering 18 books for possible adoption. The committee has decided to select 4 of the 18 for f

urther consideration. In how many ways can it do so?
Mathematics
1 answer:
8090 [49]3 years ago
6 0
This is a combination problem, since order does not matter. Specifically, it is an 18- choose - 4. 
₁₈C₄ = 18! ÷ (4!(18-4)!
= 18! ÷ (4! (14!))               The 14! cancels out in the numerator/denominator
= 18 x 17 x 16 x 15 ÷ (4 x 3 x 2)
= 3,060

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Logan wants to have $130,000 to pay for a surgery on his retractable forearm claws in 30 months. If he can invest money in an ac
dangina [55]

Answer: $107,836.69 or about $107,837 (to the nearest dollar)

Step-by-step explanation:

Formula to the  accumulated amount received after investing principal amount (P) at rate of interest (r) compounded monthly for t months :

A=P(1+\dfrac{r}{12})^{t}

As per given , A = $130,000

r= 7.5% = 0.075

t= 30 months

Now,

130000=P(1+\dfrac{0.075}{12})^{30}\\\\\Rightarrow 130000=P(1+0.00625)^{30}\\\\\Rightarrow 130000=P(1.00625)^{30}\\\\\Rightarrow 130000=P \times1.20552661036\\\\\Rightarrow\   P=\dfrac{130000}{1.2055266}=107,836.69

Hence he need to invest $107,836.69 .

8 0
4 years ago
Which quadrilaterals are considered parallelogram
Elenna [48]

Answer: Rectangle, Rhombus, Square

Step-by-step explanation:

6 0
3 years ago
Help me and I give you
Murljashka [212]
Im pretty sure its b im soo sorry if im wrong.
7 0
3 years ago
Please HELP!! ILL GIVE BRAINLEST! QUCIK PLEASE HELP!!
Elena-2011 [213]

Answer:

d. linear; $25/hour

Step-by-step explanation:

From looking at the graph, we have that renting for 2 hours costs $50, for 4 hours costs $100, for 6 hours costs $150, and for 8 hours costs $200. To find out whether the quantities described in the table are linear, we have to see if there is a constant rate of change of price.

For hour 2 to hour 4, we can see that the price increases by $50. This is the same for hour 4 to hour 6 and hour 6 to hour 8. For every 2 hour time interval, the price increases by $50. Therefore, there is a constant rate of change and the quantities described in the table are linear.

Now we have to find the constant rate of change per hour. We know that the price increases by $50 every 2 hours, so, by dividing both the hours and price increase by 2, the price increases by $25 per hour. So the constant rate of change is $25/hour.

Linear. $25/hour

Answer choice d.

I hope you find my answer and explanation to be helpful. Happy studying.

6 0
3 years ago
A fireman is heading towards a forest fire and needs to know how far away the fire is. The person in the fire tower can determin
hjlf

Answer: 3.82 miles

Step-by-step explanation:

According to the shown figure, we can imagine the scene as a <u>right triangle</u>, where the tower is located at the right angle, and the fireman and the forest fire located at each of the other two vertices.

So, since we are dealing with a right triangle we can use the Pithagorean Theorem, in order to find the distance from the fireman to the fire d, which is also the hypotenuse.

d^{2}= (2.1 miles)^{2} +(3.2 miles)^{2}

d=\sqrt{(2.1 miles)^{2} +(3.2 miles)^{2}}

Finally:

d=3.82 miles

7 0
4 years ago
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