The equation for the first club is:
y = 5x + 20 (where x is the number of hikes you go on)
The equation for the second club is:
y = 7x
By "economical", it means which club gives the best deal (meaning you not having to spend too much money). If we want to make the first club economical, we want to find how many hikes it takes to make the second club more expensive.
Let's make the two equations equal each other:
5x + 20 = 7x
Subtract 5x from both sides:
20 = 2x
Divide by 2:
x = 10
10 hikes is when the cost for each club is the same. Anything over that, then, makes the first club economical.
So, the answer would be:
x > 10
The expression for the money deposited in the bank is 500 + 40m and it will take 7 months to get the required amount.
The compound interest is a form of interest where the rate of interest is applied on the amount obtained after every interval of time.
(A) The balance of Raj's account is given as $500.
And, the money deposited every month is $40.
Suppose, the number of months be m.
Then, the following expression can be written for money in account as,
500 + 40m.
(B) The equation for the given case can be written as,
500 + 40m = 780
⇒ 40m = 280
⇒ m = 7
Hence, the required expression is 500 + 40m number of months required is 7.
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Given a stock of 624 eggs and knowing 1 dozen equals 12 eggs, there are 52 dozen eggs in the store.
The subject of this question pertains to Mathematics, specifically a real world application of division. In the given query, a grocery store only sells eggs by the dozen, meaning twelve eggs. The store has in stock, 624 eggs. The task is therefore to determine how many dozens make up this total number of eggs available.
To find the answer, we divide the total number of eggs by the number of eggs in one dozen. That is 624 (total number of eggs) divided by 12 (number of eggs in a dozen). This equals 52 dozens. Thus, the grocery store has 52 dozens of eggs in stock.
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