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hoa [83]
4 years ago
14

It costs 480 to rent an apartment on the Gold Coast for a weekend. Last year it cost $400 how would you calculate the increase

Mathematics
2 answers:
Inessa [10]4 years ago
8 0

Answer:

The increase in rent is 20%.

Step-by-step explanation:

Last year rent of an apartment on the Gold Coast for a weekend was $400.

This year it costs $480

Now we calculate the increase of rent

( 480 - 400 ) / 400  = 80 / 400 = 0.20

To convert into percentage we multiply it by 100 = 0.20 × 100 = 20%

The increase in rent is 20%.

Umnica [9.8K]4 years ago
3 0
You could write a set of equations or use the interest formula, A(t)=P(1+r/n)^nt
where p equals the principal amount, r equals the rate/ percentage of interest, n equals the compounding periods and t equals time
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A box of candy hearts contains 52 hearts, of which 19 are white, 10 are tan, 7 are pink, 3 are purple, 5 are yellow, 2 are orang
laiz [17]

<u>Answer-</u>

a. Probability that  three of the candies are white = 0.29

b. Probability that three are white, 2 are tan, 1 is pink, 1 is yellow, and 2 are green = 0.006

<u>Solution-</u>

There are 19 white candies, out off which we have to choose 3.

The number of ways we can do the same process =

\binom{19}{3} = \frac{19!}{3!16!} = 969

As we have to draw total of 9 candies, after 3 white candies we left with 9-3 = 6, candies. And those 6 candies have to be selected from 52-19 = 33 candies, (as we are drawing candies other than white, so it is subtracted)

And this process can be done in,

\binom{33}{6} = \frac{33!}{6!27!} =1107568

So total number of selection = (969)×(1107568) = 1073233392

Drawing 9 candies out of 52 candies,

\binom{52}{9} = \frac{52!}{9!43!} = 3679075400

∴P(3 white candies) = \frac{1073233392}{3679075400} =0.29



Total number of ways of selecting 3 whites, 2 are tans, 1 is pink, 1 is yellow, and 2 are greens is,

\binom{19}{3} \binom{10}{2} \binom{7}{1} \binom{5}{1} \binom{6}{2}

=(\frac{19!}{3!16!}) (\frac{10!}{2!8!}) (\frac{7!}{1!6}) (\frac{5!}{1!4!}) (\frac{6!}{2!4!})

=(969)(45)(7)(5)(15)=22892625

Total number of selection = 3 whites + 2 are tans + 1 is pink + 1 is yellow + 2 greens = 9 candies out of 52 candies is,

\binom{52}{9}=\frac{52!}{9!43!} =3679075400

∴ P( 3 whites, 2 are tans, 1 is pink, 1 is yellow, 2 greens) =

\frac{22892625}{3679075400} = 0.006


6 0
4 years ago
Sam rolls a fair dice and flips a fair coin.
wolverine [178]

Answer:

The probability that this occurs is 25%, as 3/6 (chance to roll an odd number) multiplied by 1/2 (chance to flip a head) is .25.

Step-by-step explanation:

8 0
3 years ago
Is 0.42 a rational number? Explain how you know.
kvasek [131]

Answer:

Yes, any number that can be written as a fraction is a rational number.

Step-by-step explanation:

7 0
3 years ago
What is the perimeter of the trapezoid?<br> 10 m<br> 8 m<br> 10 m<br> 18 m<br> meters
matrenka [14]

Answer:

14,400

Step-by-step explanation:

multiply all variables when doing perimeter

4 0
3 years ago
Find the endpoint of the line segment with the given endpoint and midpoint.
dlinn [17]

Answer:

(10, 2)

Step-by-step explanation:

To get from the given endpoint to the midpoint, 6 was added to x and 2 was added to y. As per the definition of a midpoint, the resulting two line segments will be congruent (first endpoint and midpoint congruent to midpoint and second endpoint). Use the same formula (x + 6, y + 2) to find the second endpoint (use the x and y of the midpoint):

(x + 6, y + 2)

(4 + 6, 0 +2)

(10, 2)

8 0
3 years ago
Read 2 more answers
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