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3 years ago

Solve each literal equation for the given variable y=x+12;x

Mathematics

1 answer:

kakasveta [241]3 years ago

6 0

Answer:

Step-by-step explanation:

x + 12 = y

x = y - 12

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Amy has $1,000 in a savings account at the beginning of the fall. She wants to have at least $500 in the account by the end of t

LuckyWell [14K]

Answer:

D. $1000 - 100w \geq 500; w \leq 5$

Step-by-step explanation:

Given:

Initial amount in the bank = $1000

Money withdrawn each week = $100

Final amount should be at least $500.

Now, let the number of weeks the money is withdrawn be 'w'.

Therefore,

Money withdrawn in 'w' weeks = $\textrm{Money withdrawn each week}\times w$

Total Money withdrawn in 'w' weeks = $100w$

Now, final amount after 'w' weeks is equal to the difference between initial amount and total withdrawal amount. Therefore,

Final amount = Initial amount - Total withdrawal amount

Final amount = $1000 - 100w$

Now, final amount must be greater than or equal to $500. So,

$\textrm{Final amount}\geq500\\\\1000-100w\geq500$

Therefore, the inequality that represents the inequality for the number of weeks Amy can withdraw money is:

$1000-100w\geq500$

Now, let us solve for 'w'.

Adding -500 and 100w both sides, we get:

$1000-500-100w+100w\geq500-500+100w\\\\500\geq100w\\\\\textrm{The above inequality is reversed when taking 100w on the left side}\\\\100w\leq500\\\\w\leq\frac{500}{100}\\\\\therefore w\leq5$

Therefore, the correct option is (D).

7 0

3 years ago

660 miles on 20 gallons or 850 miles on 25 gallons which is greater

storchak [24]

The second. Hope that helps.

5 0

2 years ago

A company's year-end data shows the following amounts. Current assets $65,000 Current liabilities $25,000 Net income $7,500 Net

lozanna [386]

The company's current ratio is 2.6.

<h3>What is the current ratio?</h3>

Current ratio is an example of a liquidity ratio. Liquidity ratios are financial ratios measure a firm's ability to honour its short terms obligations.

Current ratio = current asset /current liability

$65,000 / 25,000 = 2.6

To learn more about current ratio, please check: brainly.com/question/19579866

#SPJ1

4 0

2 years ago

A video game club charges a fixed annual membership fee of $20 and $2 per video game rented. Let f(n) represent the total annual

djverab [1.8K]

The total cost for video rental, f(n), is the sum of the membership fee and the cost of renting video game. The latter is the product of cost per video game times n video games. The correct equation used to represent the total cost is,
f(n) = 20 + 2n
Since the membership is increased by 15, the new equation is,
f(n) = 35 + 2n

4 0

3 years ago

Read 2 more answers

Please help with number 1

bezimeni [28]

Answer:

19.0681

Step-by-step explanation:

Given in the question that,

angle from ted to the dog = 60° with the ground

height of ted from the ground = 16ft

To find,

distance between dog and the door of ted's building

Considering the scenario make a right angle triangle:

<h3>By using pythagorus theorem:</h3>

Tan 40 = opposite / adjacent

Tan 40 = height / distance between dog and the door

Tan 40 = 16ft / x

x = 16 / tan40

x = 19.068057

x ≈ 19.0681 (nearest to thousand)

So, the dog need to walk 19.0681ft to reach the open door directly below Ted.

7 0

3 years ago