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Gre4nikov [31]
3 years ago
9

Total sales: $20,250 commission rate: 3.9% HELP

Mathematics
1 answer:
vova2212 [387]3 years ago
5 0

Answers:

Price        Tax Rate        Tax

$299         4%                 $11.96

$6,750      7%                 $472.5

$76.50      5.2%              $3.98

$18.32       3.9%              $0.71

$5.95        6.2%              $0.37

$13.89       4.3%              $0.60

$768.43    3.7%              $28.43

$6.49        5.8%              $0.38

$23.86      7.1%               $1.69

$12.98      3.9%              $0.51

Explanation;

Sales tax is computed as the product of the price times the tax rate in % divided by 100:

Sales tax = price × tax rate / 100

Here is each compute:

$299 × 4% = $299 × 4/100 = $11.96

$6,750 × 7% = $6,750 × 7/100 = $ 472.50

$76.50 × 5.2% = $76.50 × 5.2/100 =  $3.98

$18.32 × 3.9% = $18.32 × 3.9/100 = $0.71

$5.95 × 6.2% = $5.95 × 6.2/100 = $0.37

$13.89 × 4.3% = $13.89 × 4.3/100 = $0.60

$768.43 × 3.7% = $768.43 × 3.7/100 = $28.43

$6.49 × 5.8% = $6.49 × 5.8/100 = $0.38

$23.86 × 7.1% = $23.86 × 7.1/100 = $1.69

$12.98 × 3.9% = $0.51

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Answer:

Part A. At least 6 hours

Part B.  In less than 2.5 hours Elijah will be behind Mercedes

Part C.  In more than 2.5 hours Elijah will be ahead Aubrey

Step-by-step explanation:

D = distance

v =speed

t = time

Formula connecting D, v and t:

D=v\cdot t

Part A.

Steve's speed: v=3.5\ mph

Distance: at least 21 miles

Time: unknown, so

3.5\cdot t\ge 21\\ \\35t\ge 210\ [\text{Multiplied by 10}]\\ \\t\ge \dfrac{210}{35}\\ \\t\ge \dfrac{30}{5}\\ \\t\ge 6

It would take Steve at least 6 hours to walk at least 21 mi on Day 1.

Part B.

Mercedes's speed: v_M=2.4\ mph

Elijan's speed: v_E=3.2\ mph

Elijan's Distance walked: D_E miles

Mercedes's Distance walked: D_M miles

Time: x hours

Mercedes is 2 miles ahead, so

D_E=3.2x\\ \\D_M=2.4x+2

Elijan will be behind when

D_E

In 2.5 hours Elijan will catch up Mercedes, and in less than 2.5 hours Elijah will be behind Mercedes.

Part C.

Aubrey's speed: v_M=3\ mph

Elijan's speed: v_E=3.2\ mph

Elijan's Distance walked: D_E miles

Aubrey's Distance walked: D_A miles

Time: x hours

At the beginning of Day 3, Elijah starts walking at the marker for Mile 42,  and Aubrey starts walking at the marker for Mile 42.5.

D_E=42+3.2x\\ \\D_A=42.5+3x

Elijan will be ahead of Aubrey when

D_E>D_A\\ \\42+3.2x> 42.5+3x\\ \\3.2x-3x>42.5-42\\ \\0.2x>0.5\\ \\2x>5\ [\text{Multiplied by 10}]\\ \\x>\dfrac{5}{2}\\ \\x>2.5\ hours

In 2.5 hours Elijan will catch up Aubrey, and in more than 2.5 hours Elijah will be ahead Aubrey.

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Find the median of the values:<br> 8, 13, 6,-1, 10, 0, -3, 5, 7,1
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Answer:

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It will be:

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You will get the numbers:

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So the answer is 5.5.

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