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:
$10,870
Step-by-step explanation:
we can multiply the initial value (27500) by (1-.06), or 0.94, raised to the 15th power
27500(.94)^15 = 10,870.52
Answer:
expression 2
Step-by-step explanation:
<h2><u>Which expressions are equivalent when m = 1 and m = 4?</u></h2>
<h3><u>first expression:</u></h3>
5m -3 and 2m + 5 + m
when m = 1
5(1) - 3 = 2 and 2(1) + 5 + 1 = 8
and m = 4
5(4) -3 =23 and 2(4) + 5 + 4 = 17
<u>expression 1 IS</u><u> NOT EQUIVALENT</u><u> </u>
<h3><u>second expression :</u></h3>
3 m + 4 and m + 4 + 2 m
when m = 1
3 (1) + 4 = 7 and 1 + 4 +2 (1) = 7
and m = 4
3 (4) + 4 = 16 and 4 + 4 +2 (4) = 16
expression 2 <u>IS EQUIVALENT </u>
<h3><u>third expression :</u></h3>
2 m + 7 and 3 m - 3 + m
when m = 1
2(1) + 7 = 9 and 3(1) -3 + 1 = 1
and m = 4
2(4) + 7 = 15 and 3(4) -3 + 4 = 13
expression 3 IS <u>NOT EQUIVALENT</u>
<h3><u>fourth expression :</u></h3>
5 m + 3 and 4 m + 2 + 2 m
when m = 1
5(1)+ 3 = 8 and 4(1) + 2 +2(1) = 8
and m = 4
5(4)+ 3 = 23 and 4(4) + 2 +2(4) = 26
expression 4 is <u>NOT EQUIVALENT </u>
the expression that is <u><em>EXPRESSION 2 </em></u>
