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3 years ago

Tuition is $29,637. increase is 5.1%. what is new cost?

Mathematics

1 answer:

Veseljchak [2.6K]3 years ago

6 0

Answer:

31,148.48

Step-by-step explanation:

29,637*.051= 1,511.48

29,637+1,511.48=31,148.48

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A driver has three ways to get from one city to another. There is an 80 % chance of encountering atraffic jam given he is on rou

lukranit [14]

Answer:

The probability is 0.64

Step-by-step explanation:

What we want to calculate here is conditional probability.

Let P(A )= Probability of using route A = 50% = 0.5

Let P( B )= probability of using route B = 25% = 0.25

Let P (C )= probability of using route C = 25% = 0.25

Let T be the probability that he will be in a traffic Jam

The probability that he will be in a traffic Jam if he uses route A = 80%

Mathematically this is written as P( T | A) which is read as probability of T given A

so P( T | A) = 0.8

Same way for B and C which can be written as follows;

P( T | B) = 60% = 0.6

P( T | C) = 30% = 0.3

Now, what do we want to calculate?

He is in a traffic Jam, and we want to find the probability that he used route A. This means we want to find P(A) given T which can be written mathematically as P ( A | T)

We can find this using the other parameters and especially the equation below;

P ( A | T) = P(A) • P( T| A) / {P(A) • P ( T | A) + P(B)• P(T| B) + P(C) • P(T|C)

P( A | T) = (0.5 * 0.8)/ ( 0.5)(0.8) + (0.25)(0.6) + (0.25)(3) = 0.4/(0.4 + 0.75 + 0.075) = 0.4/0.625 = 0.64

4 0

2 years ago

I got c which is 100 but I don’t know how jerry got A

Anna007 [38]

Choice C is the correct answer because

$\frac{(6+2)^3-12}{5}\\\\\frac{(8)^3-12}{5}\\\\\frac{512-12}{5}\\\\\frac{500}{5}\\\\100\\\\$

So in short, $\frac{(6+2)^3-12}{5}=100\\\\$

------------------------------------------

The mistake Jerry likely made was that he only cubed the 2 and didn't realize the 6 was part of that cubing process. It seems he didn't add first and decided to cube before adding.

This is probably what steps Jerry did

$\frac{6+2^3-12}{5}\\\\\frac{6+8-12}{5}\\\\\frac{14-12}{5}\\\\\frac{2}{5}\\\\$

But as mentioned, those steps are incorrect because the 6 is part of the cubing operation. In other words, Jerry should have added the 6+2 first before cubing afterward (due to PEMDAS determining the order of operations).

Or you could think of it like this

$\frac{(6+2)^3-12}{5}\\\\\frac{(6+2)(6+2)(6+2)-12}{5}\\\\\frac{(8)(8)(8)-12}{5}\\\\\frac{512-12}{5}\\\\\frac{500}{5}\\\\100$

4 0

2 years ago

Use the graph to estimate the height of a jugglers ball that has been in the air for 1.5 seconds

strojnjashka [21]

Answer:

The height of a jugglers ball that has been in the air for 1.5 seconds is 6.5 feet

Step-by-step explanation:

we are given height equation as

$h=-16t^2+25t+5$

where

h is the height in feet of a Juggler's ball after t seconds

now, we can plug t=1.5

$h=-16(1.5)^2+25(1.5)+5$

we can solve for h

$h=42.5-16\cdot \:1.5^2$

$h=42.5-36$

$h=6.5$

So,

The height of a jugglers ball that has been in the air for 1.5 seconds is 6.5 feet

5 0

3 years ago

Which expression represents the phrase, "half the sum of 10 and a number"? 12x+10

Nonamiya [84]

I think it is 12(10+x)

4 0

3 years ago

A bag of rice has a mass of 3.18 pounds. Find its mass in kilograms

Paha777 [63]

1 pound = 0.453592 Kilograms
Mass of the rice in pounds = 3.18 pounds
3.18 pounds = (3.18*0.453592) Kilograms
= 1.442424 Kilograms
The mass of the rice in kilograms is 1.442424 Kilograms.

7 0

3 years ago

Tuition is $29,637. increase is 5.1%. what is new cost?​

Tuition is $29,637. increase is 5.1%. what is new cost?