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rewona [7]
3 years ago
14

In 1995, the standard bus fare in Chicago was $1.50. In 2008, the standard bus fare was $2.25. Give your answer as a percentage

value. Find the percent increase of the bus fare in Chicago.
Mathematics
1 answer:
Trava [24]3 years ago
3 0

Answer:

The bus fair is 50% increases.

Step-by-step explanation:

The percentage is the proportion of the relation to the whole.

Percentage increase is calculate as ratio of difference of original and new value to the original value. i.e.

\frac{ Percentage\ increase\ \ =\ \ new\ value - original \ value}{original\ \ value}

∴ \frac{ Percentage\ increase\ \ =\ \ 2.25 - 1.50 }{1.50}

⇒ Percentage increase = 50%

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Answer: x= 12

Step-by-step explanation:

3x+6 = 42

or, 3x = 36

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Function f is an exponential function. It predicts the value of a famous painting, in thousands of dollars, as a function of the
nalin [4]

Answer:

y=8 \cdot (\frac{5}{4})^x

f(x)=8 \cdot (\frac{5}{4})^x

or

f(x)=8 \cdot (1.25)^x

Step-by-step explanation:

We are going to see if the exponential curve is of the form:

y=a \cdot b^x, (b\neq 0).

If you are given the y-intercept, then a is easy to find.

It is just the y-coordinate of the y-intercept is your value for a.

(Why? The y-intercept happens when x=0. Replacing x with 0 gives y=a \cdot b^0=a \cdot 1=a. This says when x=0 \text{ that} y=a.)

So a=8.

So our function so far looks like this:

y=8 \cdot b^x

Now to find b we need another point. We have two more points. So we will find b using one of them and verify for our resulting equation works for the other.

Let's do this.

We are given (1,10) is a point on our curve.

So when x=1, y=10.

10=8 \cdot b^1

10=8 \cdot b

Divide both sides by 8:

\frac{10}{8}=b

Reduce the fraction:

\frac{5}{4}=b

So the equation if it works out for the other point given is:

y=8 \cdot (\frac{5}{4})^x

Let's try it.  So the last point given that we need to satisfy is (2,12.5).

This says when x=2, y=12.5.

Let's replace x with 2 and see what we get for y:

y=8 \cdot (\frac{5}{4})^2

y=8 \cdot \frac{25}{16}

y=\frac{8}{16} \cdot 25

y=\frac{1}{2} \cdot 25}

y=\frac{25}{2}

y=12.5

So we are good. We have found an equation satisfying all 3 points given.

The equation is y=8 \cdot (\frac{5}{4})^x.

4 0
3 years ago
Solve sec2theta + tantheta - 3 =0 for 0
Serhud [2]

Answer:

Ф = \frac{\pi }{4} ,\frac{5\pi}{4}

Step-by-step explanation:

It is a bit difficult to input the work here, so I uploaded an image

  • First we can use the trig identities to change sec²(Ф) to tan²(Ф) + 1
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  • Then we can factor this as a polynomial function
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True [87]

Answer:

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Step-by-step explanation:

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P=3000(1-0.11)^t

This simplifies to:

P=3000(0.89)^t

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3 years ago
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