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mihalych1998 [28]
1 year ago
10

an article reports attendance increased 17% this year,to 5515.what was the attendance before the increase(round your answer to t

he nearest whole number)Demi loves gummy bear so much that after returning from QFC with some gummy bears to eat 5% of the Gummi Bears he just bought the next day heat 5% of the remaining gummy bears and continues to eat another 5% each day what percent of the gummy bears will Danny have left after 6 days round your answer to the nearest whole percent
Mathematics
1 answer:
valina [46]1 year ago
4 0

Demi loves gummy bear so much that after returning from QFC with some gummy bears to eat 5% of the Gummi Bears he just bought the next day heat 5% of the remaining gummy bears and continues to eat another 5% each day what percent of the gummy bears will Danny have left after 6 days round your answer to the nearest whole percent ​

we have that

Let

x -----> original amount

so

1) eat 5% of the Gummi Bears he just bought

remaining-------> 95%

2) the next day heat 5% of the remaining gummy bears

5%=0.05

95%*(0.05)=4.75%

Remaining=95%-4.75%=90.25%

3) third day

90.25%*(0.05)=4.5125%

Remaining=90.25%-4.5125%=85.8375%

4) 4 day

85.8375%*(0.05)=4.286875%

Remaining=85.8375%-4.286875%=81.550625%

5) 5 day

81.550625%*(0.05)=4.07753125%

Remaining=81.550625%-4.07753125%=77.47309375%

6) 6 day

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A caterer charges $120 to cater a party for 15 people and $200 for 25 people.
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The equation in slope-intercept form for this function is y = 8 x

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Step-by-step explanation:

The linear equation in the form of slope-intercept is:

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A caterer charges $120 to cater a party for 15 people and $200 for

25 people.

Assume that the cost, y, is a linear function of the number of people x

We need to write an equation in slope-intercept form for this function

We need to explain that the slope represent what

We need to find how much a party for 40 people would cost

∵ The slope-intercept form of the equation is y = mx + c

∵ y is the cost and x is the number of people

∴ x = 15 and y = 120 is a point on the line

∴ x = 25 and y = 200 is another point on the line

- Now we can use them to find the slope of the line

∵ m=\frac{200-120}{25-15}=\frac{80}{10}

∴ m = 8

∴ y = 8 x + b

- To find b substitute x by 15 and y by 120 in the equation

∴ 120 = 8(15) + b

∴ 120 = 120 + b

- Subtract 120 from both sides

∴ b = 0

∴ y = 8 x

The equation in slope-intercept form for this function is y = 8 x

∵ The slope = change of y ÷ change of x

∴ The slope = cost ÷ number of people

∴ The slope represents the cost per person

The slope represents the unit cost

∵ There are 40 people

∴ x = 40

∵ The equation of the cost is y = 8 x

∴ y = 8 × 40

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∴ The cost is $320

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Learn more:

You can learn more about the linear function in brainly.com/question/4152194

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