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marishachu [46]
3 years ago
13

Tony has $120. he spent 30% of the money to purchase clothes and 10% of the money to purchase food. how much money does tony hav

e left?
Mathematics
1 answer:
Oksana_A [137]3 years ago
7 0
Tony has $72 dollars left.
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For what value of constant c is the function k(x) continuous at x = 0 if k =
nlexa [21]

The value of constant c for which the function k(x) is continuous is zero.

<h3>What is the limit of a function?</h3>

The limit of a function at a point k in its field is the value that the function approaches as its parameter approaches k.

To determine the value of constant c for which the function of k(x)  is continuous, we take the limit of the parameter as follows:

\mathbf{ \lim_{x \to 0^-} k(x) =  \lim_{x \to 0^+} k(x) =  0 }

\mathbf{\implies  \lim_{x \to 0 } \ \  \dfrac{sec \ x - 1}{x}= c }

Provided that:

\mathbf{\implies  \lim_{x \to 0 } \ \  \dfrac{sec \ x - 1}{x}= \dfrac{0}{0} \ (form) }

Using l'Hospital's rule:

\mathbf{\implies  \lim_{x \to 0} \ \  \dfrac{\dfrac{d}{dx}(sec \ x - 1)}{\dfrac{d}{dx}(x)}=  \lim_{x \to 0}   sec \ x  \ tan \ x = 0}

Therefore:

\mathbf{\implies  \lim_{x \to 0 } \ \  \dfrac{sec \ x - 1}{x}=0 }

Hence; c = 0

Learn more about the limit of a function x here:

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5 0
2 years ago
NEED HELP ASAP PLEASE WITH EXPLANATION PLEASE
KonstantinChe [14]

Answer:

(1) 20%

Step-by-step explanation:

→ Find the difference in price

200 - 160 = 40

→ Divide difference by original price

40 ÷ 200 = 0.2

→ Multiply the answer by 100

0.2 × 100 = 20%

7 0
3 years ago
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I believe a qualitative prediction requires a prediction with out any numerical data to support it while a quantitative predictions require a prediction supported by numerical data.

A real world example of this is in chemistry during a lab.  qualitative data is based off of observation with out numerical data such as a color change.  quantitative data is based off of observation with numerical data such as the mass changes.

(quantitative prediction is decision from data based on percentages, probabilities, and so on while qualitative predictions are based off of given information).
I hope this helps and let me know if you need further explaining.
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4 years ago
suppose that $20,000 is invested at an interest rate of 3.2%. what would be the amount in the account in 5 years if invested
otez555 [7]

Answer:

it is D

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