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strojnjashka [21]
3 years ago
6

Dinner at your grandfather's favorite restaurant now costs $25.25 and has been increasing steadily at 4% per year. How much did

it cost 35 years ago when he was courti
your grandmother?
Mathematics
1 answer:
andrew-mc [135]3 years ago
3 0
Why would my grandfather charge me to eat at his restaurant? I’m family aren’t I?
You might be interested in
Please help me with these
Alex Ar [27]
When we approach limits, we are finding values that are infinitesimally approaching this x-value. Essentially, we consider the approximate location that this root or limit appears. This is essential when it comes to taking Calculus, and finding the limit or rate of change of a function.

When we are attempting limits questions, there are several tests we attempt first.

1. Evaluate the limit by substituting the value of the x-value as it approaches the value (direct evaluation of a limit)
2. Rearrangement of the function, such that we can evaluate the limit.
3. (TRIGONOMETRIC PROPERTIES)
\lim_{x \to 0} (\frac{sinx}{x}) = 1
\lim_{x \to 0} (\frac{tanx}{x}) = 1
4. Using L'Hopital's Rule for indeterminate limits, such as 0/0, -infinity/infinity, or infinity/infinity.

For example:

1) \lim_{x \to 0}\frac{\sqrt{x} - 5}{x - 25}

We can do this using the first and second method.
<em>Method 1: Direct evaluation:</em>

Substitute x = 0 to the function.
\frac{\sqrt{0} - 5}{0 - 25}
= \frac{-5}{-25}
= \frac{1}{5}

<em>Method 2: Rearranging the function
</em>

We can see that x - 25 can be rewritten as: (√x - 5)(√x + 5)
By rewriting it in this form, the top will cancel with the bottom easily, and our limit comes out the same.

\lim_{x \to 0}\frac{(\sqrt{x} - 5)}{(\sqrt{x} - 5)(\sqrt{x} + 5)}
= \lim_{x \to 0}\frac{1}{(\sqrt{x} + 5)}}
= \frac{1}{5}

Every example works exactly the same way, and by remembering these criteria, every limit question should come out pretty naturally.
8 0
3 years ago
Use the FOIL method to find the product. (8a − 8)(4a + 1)
melomori [17]

44a - 1

Im pretty sure


7 0
3 years ago
During dance practice, Sasha drank 21⁄2 pints of water, and on the way home she drank 1⁄2 cup of water. How much water did she d
elena-14-01-66 [18.8K]
There is 2 cups in a pint

So the pints would equal 5 cups

Add the 1/2 cup.

Therefore she drank 5 1/2 cups
3 0
3 years ago
What is the percent increase from 126 points to 48 points
svetoff [14.1K]
48-126=-78
-78/126= -0.<span>619047619
-0.</span>619047619x100=<span>61.9047619%
This can be rounded to 62%

Hope this helps :)</span>
6 0
3 years ago
You buy a total of 25 burgers and tacos for $67.50. The burgers cost $3.50 each and the tacos cost $2.25 each. Find the number o
Ahat [919]

Answer: you bought 9 burgers and 16 tacos

Step-by-step explanation:

Let x represent the number of burgers that you bought.

Let y represent the number of tacos that you bought.

You buy a total of 25 burgers and tacos. It means that

x + y = 25

The burgers cost $3.50 each and the tacos cost $2.25 each. The total cost of the burgers and tacos that you bought is $67.50. It means that

3.5x + 2.25y = 67.5- - - - - - - - - - - - 1

Substituting x = 25 - y into 1, it becomes

3.5(25 - y) + 2.25y = 67.5

87.5 - 3.5y + 2.25y = 67.5

- 3.5y + 2.25y = 67.5 - 87.5

- 1.25y = - 20

y = - 20/ - 1.25

y = 16

x = 25 - y = 25 - 16

x = 9

5 0
3 years ago
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