Let x denote the number of child tickets sold and y the number of adult tickets sold. The problem involves solving the following system of linear equations; x+y=132 and 5.2x+8.6y=931.2. Using technology to solve this simultaneous equation yields; x= 60, y =72

3 0

3 years ago

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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Money withdrawn each week = $100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Now, let the number of weeks the money is withdrawn be 'w'.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Money withdrawn in 'w' weeks = $\textrm{Money withdrawn each week}\times w$

Total Money withdrawn in 'w' weeks = $100w$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

A shirt is originally priced at $24.50. The shirt goes on sale for 30% the original price. How much money, in dollars to the nea

ludmilkaskok [199]

Answer:

The final cost is 1.07($17.15) = $18.35

Step-by-step explanation:

If the discount is 30%, we can find the discounted price by taking 70% of the original price (since 100% - 30% = 70%). Substitute the equivalent 0.70 to calculate the discount price: 0.70($24.50) = $17.15. This is the discounted price.

The final cost is $17.15 times 1.07, which includes the discounted price plus the 7% tax. That final cost is 1.07($17.15) = $18.35.

3 0

3 years ago