Sasha borrows $100 at 12% simple interest, to be paid back in 3 months. How much does she pay back
1 answer:
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We can find this by creating a function to represent how many lawns she's mowed.
The 46x represents the profit of 46 dollars per month for each lawn mowed and the -343 is the cost of fuel per month to remove it from profit. We now need to set this function to 800, and solve for x.
Because she can't mow part of a lawn, we need to round to a whole number. Our options are to round down to 25 or round up to 26. Lets start with the lower number first, and see if the profit for that many lawns is over 800.
Because 25 is over 800 dollars, we don't need to calculate 26. Therefore, she needs to mow at least 25 lawns to make a profit of at least 800 dollars a month.
The 46x represents the profit of 46 dollars per month for each lawn mowed and the -343 is the cost of fuel per month to remove it from profit. We now need to set this function to 800, and solve for x.
Because she can't mow part of a lawn, we need to round to a whole number. Our options are to round down to 25 or round up to 26. Lets start with the lower number first, and see if the profit for that many lawns is over 800.
Because 25 is over 800 dollars, we don't need to calculate 26. Therefore, she needs to mow at least 25 lawns to make a profit of at least 800 dollars a month.
Answer:
In total, permutations of three items can be selected from a group of six distinct elements.
In particular, there are ways to order three distinct items.
.
Step-by-step explanation:
The formula gives the number of ways to select and order
items from a group of
distinct elements.
To select and order three items from a group six distinct elements, let and
. Apply the formula:
.
In other words, there are unique ways to select and order three items (select a permutation of three items) from a group of six distinct elements.
Consider: what's the number of ways to order three distinct items? That's the same as asking: how many ways are there to select and order three items from a group of three distinct elements? Let and
. Apply the formula for permutation:
.
To find the permutations, start by selecting one element as the first of the list. A tree diagram might be helpful. Refer to the attachment for an example.
