Construct a triangle out of the points then find the midpoint of each side
So hmmm let's see
she has a monthly income of 120 from investments, now, there are 12 months in a year, so her yearly income from investments are 120*12 or
$1440
she plays on a band, and makes 200 a week, now, there are 52 weeks in a year, so her yearly income from band playing is 200 * 52, or
$10400
her total annual income is 49696, now, if we subtract the band and investment income, we'd be left over with only what comes from her job payrate
so 49696 - 1440 - 10400 is 37856
so, she makes from her job, $37856 annually
now, she only works 28 hours weekly, how much is that yearly? well, 52 weeks in a year, she works 28*52 hours a year, let us divide 37856 by that
37856 ÷ ( 28 * 52) well, it ends up as 26
so, her hourly payrate is $26 per hour
now, she wants to ask for a raise, to make 51880 annually
well, if we check the difference of 51880 and 49696, that'd leave us with the difference in pay, or the raise annual amount
51880 - 49696 = 2184
ok, so she wants $2184 annually more from her work
how much is that in the hours she works annually? well 2184 ÷ ( 28 * 52)
Answer:
1. 4 nights
2. $154
Step-by-step explanation:
1. The airfare is a fixed cost, and the cost of staying at the hotel for n nights is 98 * n. So, we add this up: 478 + 93n. This cost can be <em>no more than</em> 850 because that's Jenna's budget limit. So, we have:
478 + 93n ≤ 850
Subtract 478 from both sides:
93n ≤ 372
Divide by 93:
n ≤ 4
The maximum number of nights is 4 nights.
2. Abigail currently has $45 and she needs m more dollars in order to achieve her goal of <em>at least</em> $199. Seeing "at least", we know that we need to use the ≥ sign:
45 + m ≥ 199
Subtract 45 from both sides:
m ≥ 154
Abigail still needs at least $154.
Hope this helps!
X-intersection is (-36,0)
Y-intersection is (0,-9)