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miskamm [114]
3 years ago
5

John Gray bought a basic car for $32,750.00, with options that cost $375.00. There's a 6% sales tax in his state and a combined

$50.00 license and registration fee. What was John's total cost?
A. $35,162.50
B. $35,165.50
C. $35,140.00
D. $33,175.00
Mathematics
2 answers:
Andreas93 [3]3 years ago
6 0
$32,750 + $375 = 33125
$33,125 * .06= 1987.50
$33,125+$1987.50= $35,112.50
$35,112.50+$50=$35,162.50

A. $35,162.50
rjkz [21]3 years ago
3 0

Basic car $8,250.00 + extras $324.00 = $8,574. 6% tax on $8,574 = 8,574/100*6 = $514.44 $50.00 license and registration fee must be added. John's total cost = 8,574 + 514.44 + 50 = $9,138.44.

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I honestly don’t understand
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3 years ago
Drag and drop the appropriate term into each box to simplify the expression. 3 (5m + 2) = 3. 15 hs -2 2 3 5 6 7 10 15 21 30 5​
ElenaW [278]

The value of m from the equation is -1/5

<h3>Solving equations and expression</h3>

Given the equation below expressed as;

3(5m + 2) = 3

Expand

3(5m) + 3(2) = 3

15m + 6 = 3

Subtract 6 from both sides

15m + 6 - 6 = 3 - 6

15m = -3

Divide both sides by 15

15m/15 = -3/15

m = -1/5

Hence the value of m from the equation is -1/5

Learn more on equation and expression here: brainly.com/question/723406

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6 0
1 year ago
An oil refinery is located on the north bank of a straight river that is 2 km wide. A pipeline is to be constructed from the ref
hichkok12 [17]

Answer:

P is exactly 3km east from the oil refinery.

Step-by-step explanation:

Let's d be the distance in km from the oil refinery to point P. So the horizontal distance from P to the storage is 3 - d and the vertical distance is 2. Hence the diagonal distance is:

\sqrt{(3 - d)^2 + 2^2} = \sqrt{(3 - d)^2 + 4}

So the cost of laying pipe under water with this distance is

800000\sqrt{(3 - d)^2 + 4}

And the cost of laying pipe over land from the refinery to point P is 400000d. Hence the total cost:

800000\sqrt{(3 - d)^2 + 4} + 400000d

We can find the minimum value of this by taking the 1st derivative and set it to 0

800000\frac{2*0.5*(3-d)(-1)}{\sqrt{(3 - d)^2 + 4}} + 400000 = 0

We can move the first term over to the right hand side and divide both sides by 400000

1 = 2\frac{3 - d}{\sqrt{(3 - d)^2 + 4}}

\sqrt{(3 - d)^2 + 4} = 6 - 2d

From here we can square up both sides

(3 - d)^2 + 4 = (6 - 2d)^2

9 - 6d + d^2 + 4 = 36 - 24d + 4d^2

3d^2-18d+27 = 0

d^2 - 6d + 9 = 0

(d - 3)^2 = 0

d -3 = 0

d = 3

So the cost of pipeline is minimum when P is exactly 3km east from the oil refinery.

3 0
3 years ago
You select a card at random from the cards that make up the word replacement without replacing the card,you choose a second card
serious [3.7K]

Answer:

34/55

Step-by-step explanation:

Find the probability of the opposite; not a single vowel chosen.

So, the consonants are 7, so 7/11 times 6/10, which is 21/55.

Then, just 1 - 21/55 to get 34/55

6 0
3 years ago
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Answer:

I'm not sure if there is enough information here. If you are asking how many books or bookmarks she can buy, you'll need a total amount of money :).

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