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ivanzaharov [21]
3 years ago
13

Part A: Joel uses the incorrect expression 0.95(190)(0.8) to calculate that the computer will cost him a total of $144.40. Descr

ibe his error and write the correct expression. * Part B: How much will Joel pay for his tablet? Show your work on a separate piece of paper and upload the picture.
Mathematics
1 answer:
notka56 [123]3 years ago
6 0

Answer:

Part A) The correct Expression : (1.05)(190)(0.8)

=> The error of Joel was that instead of adding the sales tax, he subtracted it.

Part B) $159.60

Step-by-step explanation:

<u><em>Part A:</em></u>

To calculate the computer cost, we need to find out the selling price first.

There's a discount of 20% so the selling price will be 100% - 20% = 80% =>80/100 = 0.8

<em>So, We'll multiply the cost price by 0.8</em>

=> (190)(0.8)

But, there is a sales tax of 5%

<u><em>So, the selling price with cost price will be:</em></u>

=> 100% + 5% = 105%  => 105/100 = 1.05 (We'll multiply this too with the first equation that we made above)

So, the expression will be:

=> (1.05)(190)(0.8)

The error of Joel was that instead of adding the sales tax, he subtracted it.

<u><em>Part B)</em></u>

<u><em>Joel will pay for the tablet:</em></u>

=> (1.05)(190)(0.8)  [We used the above expression]

=> $159.60

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Answer:

D. About 15.69 hours.

Step-by-step explanation:

Let x be the number of hours.

We have been given that there  were 2,000 bacteria present at the start of an experiment and the growth rate was 7% per hour.

Since number of bacteria is growing exponentially, so we will use exponential growth function to solve our given problem.

The continuous exponential growth formula is in form: y=e^{kx}, where,

e= mathematical constant,

k = Growth rate in decimal form.

Let us convert our given rate in decimal form.

7\%=\frac{7}{100}=0.07

Upon substituting our given values we will get exponential function for bacteria growth as: y=2,000*e^{0.07x}, where, y represents number of bacteria after x hours.

Since we need to figure out the number of hours it will take for there to be 6,000 bacteria, so we will substitute y= 6,000 in our function.

6,000=2,000*e^{0.07x}

Let us divide both sides of our equation by 2,000.

\frac{6,000}{2,000}=\frac{2,000*e^{0.07x}}{2,000}

3=e^{0.07x}

Let us take natural log of both sides of our equation.

\text{ln}(3)=ln(e^{0.07x})

\text{ln}(3)=0.07x

1.0986122=0.07x  

x=\frac{1.0986122}{0.07}  

x=15.69446\approx 15.69  

Therefore, it will take about 15.69 hours to be 6,000 bacteria and option D is the correct choice.




3 0
3 years ago
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stiks02 [169]
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6 0
3 years ago
Write the standard form of the line with the given information. Include your work in your final answer. Type your answer in the
AURORKA [14]

Answer:

The standard form of line is

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Step-by-step explanation:

we are given a line

slope=3

so,

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b=-2

now, we can use slope-intercept form of line

y=mx+b

now, we can plug values

y=3x-2

we can write it in standard form of line

ax+by=c

y=3x-2

we can subtract both sides by 3x

y-3x=3x-2-3x

y-3x=-2

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So, the standard form of line is

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3 0
3 years ago
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Answer is in the file below

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4 0
3 years ago
1.4 has 2 significant digits as a result of which rule? a. All nonzero numbers are significant. b. Zeros between nonzero digits
marishachu [46]

Answer:

All non zero digits count in significant digits.

(a) is correct option.

Step-by-step explanation:

Given that,

1.4 has 2 significant digits.

We know that,

Significant digits :

All non zero digits count in significant digits.

All zero which is present in between two significant digits it is also significant.

Leading zero is not count as significant.

Trailing zero is count as significant.

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Hence, All non zero digits count in significant digits.

(a) is correct option.

6 0
3 years ago
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