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pishuonlain [190]
3 years ago
8

Dana is purchasing a new car that costs $24,650. The bank is charging 4% simple interest for 6 years to finance the car. Using I

= PRT, where I represents the amount of interest, P equals the amount financed, R represents the interest rate as a decimal, and T represents the number of years the car is financed, how much interest will Dana pay?
Mathematics
1 answer:
tia_tia [17]3 years ago
4 0

Answer:

5,916

24650 \times 0.04 \times 6 = 5916

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A train heads south out of Bloomington an hour after a northbound train
ahrayia [7]

9514 1404 393

Answer:

  • northbound: 2.5 hours
  • southbound: 1.5 hours

Step-by-step explanation:

When the second train leaves the station, the trains are already 63 miles apart. The rate of increase of their separation is (57 +63) = 120 miles per hour. The remaining 243-63 = 180 miles of separation will be achieved in ...

  (180 mi)/(120 mi/h) = 1.5 h

The northbound train will have traveled 2.5 hours; the southbound train will have traveled 1.5 hours when the trains are 243 miles apart.

7 0
3 years ago
There are two games involving flipping a coin. In the first game you win a prize if you can throw between 45% and 55% heads. In
Nina [5.8K]

Answer:

d) 300 times for the first game and 30 times for the second

Step-by-step explanation:

We start by noting that the coin is fair and the flip of a coin has a probability of 0.5 of getting heads.

As the coin is flipped more than one time and calculated the proportion, we have to use the <em>sampling distribution of the sampling proportions</em>.

The mean and standard deviation of this sampling distribution is:

\mu_p=p\\\\ \sigma_p=\sqrt{\dfrac{p(1-p)}{N}}

We will perform an analyisis for the first game, where we win the game if the proportion is between 45% and 55%.

The probability of getting a proportion within this interval can be calculated as:

P(0.45

referring the z values to the z-score of the standard normal distirbution.

We can calculate this values of z as:

z_H=\dfrac{p_H-\mu_p}{\sigma_p}=\dfrac{(p_H-p)}{\sqrt{\dfrac{p(1-p)}{N}}}=\sqrt{\dfrac{N}{p(1-p)}}*(p_H-p)>0\\\\\\z_L=\dfrac{p_L-\mu_p}{\sigma_p}=\dfrac{p_L-p}{\sqrt{\dfrac{p(1-p)}{N}}}=\sqrt{\dfrac{N}{p(1-p)}}*(p_L-p)

If we take into account the z values, we notice that the interval increases with the number of trials, and so does the probability of getting a value within this interval.

With this information, our chances of winning increase with the number of trials. We prefer for this game the option of 300 games.

For the second game, we win if we get a proportion over 80%.

The probability of winning is:

P(p>0.8)=P(z>z^*)

The z value is calculated as before:

z^*=\dfrac{p^*-\mu_p}{\sigma_p}=\dfrac{p^*-p}{\sqrt{\dfrac{p(1-p)}{N}}}=\sqrt{\dfrac{N}{p(1-p)}}*(p^*-p)>0

As (p*-p)=0.8-0.5=0.3>0, the value z* increase with the number of trials (N).

If our chances of winnings depend on P(z>z*), they become lower as z* increases.

Then, we can conclude that our chances of winning decrease with the increase of the number of trials.

We prefer the option of 30 trials for this game.

8 0
3 years ago
Which factor do 64x^2+48x+9 and 64x^2 - 9 have in common?
erastovalidia [21]
<span>(8x +3) (8x-3)
</span>share the same terms
8 0
3 years ago
PLEASE HELP!! DUE SOON!!
ryzh [129]

Answer:

Do you still need help??

Step-by-step explanation:

5 0
3 years ago
Need help with problem number 6 please
butalik [34]
So to get the sides you need to cube them
(192)^1/3---->5.769
(375)^1/3---->7.21125
7.21125-5.769= 1.44225
3^(1/3)= 1.44225

Answer: A



3 0
3 years ago
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