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DIA [1.3K]
3 years ago
9

Todd wants to buy a new video game for $43.31. He has $55.50. The sales tax is 8.5% of the total purchase. Does Todd have enough

money to purchase the game?
Mathematics
1 answer:
sammy [17]3 years ago
7 0

Answer:

  yes

Step-by-step explanation:

We can estimate* that the total price including tax of the game will be less than ...

  $43.31 +10% of 43.31 = $43.31 +4.33 = $47.61

Todd easily has enough to pay for the game, including tax.

_____

You can work this more exactly a couple of ways.

  1. Price + tax = 1.085×$43.31 = $46.99 . . . less than Todd's budget

  2. Most Todd can afford: $55.50/1.085 = $51.15 . . . more than the game price

_____

* For estimating purposes, we like to use numbers that are easy to compute with. 10% is one such number, as it only requires moving the decimal point.

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An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in California. Suppose that
sergiy2304 [10]

Answer:

(22.0297, 23.3703)

Step-by-step explanation:

Given that an economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in California.

Let X be per capita income (in thousands of dollars) for a major city in California.

Mean = 22.7

n = 183

Population std dev = 6.3

Since population std dev is known we can use Z critical value.

Std error = \frac{6.3}{\sqrt{183} } \\=0.4657

Z critical =1.44

Marginof error = ±1.44*0.4657=0.6706

Confidence interval 85%

=(22.7-0.6703, 22.7+0.6703)\\= (22.0297, 23.3703)

7 0
3 years ago
A tunnel is 30 yards long and 15 yards wide. The height of the tunnel walls is 5 yards before the curve of the cylinder-shaped c
Karolina [17]
The tunnel is made of two shapes and we can find the volume of each.
Cuboid volume=15×5×30=2250 cu yds.
Half cylinder volume=π(7.5)²30/2=843.75π=2649.38 cu yds.
Total volume=4899.38 cu yds.
4 0
3 years ago
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What can 45/8 be simplified down to?
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Complete the ordered pair for the equation y = - 7x + 8.
Snowcat [4.5K]

Answer:y+7x=8

Step-by-step explanation:y=-7x+8

7x needs to be on the variable side

y+7x=8

5 0
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What is the equation of this line in slope-intercept form (-1,5) and (1,-3)?
Harrizon [31]
Slope intercept means
y=mx+c
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4 0
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