Each month elizabeth budgets $760 for fixed expenses, $620 for living expenses, and $80 for annual expenses. her annual net income is $32,580. which sentence best describes her monthly budget?

a. it shows a deficit of $1255
b. it shows a surplus of $1255
c. it shows a surplus of $1460
d. it is balanced

Option 'C' is correct.

Step-by-step explanation:

Since we have given that

Amount she spent on fixed expenses = $760

Amount she spent on living expenses = $620

Amount she spend for annual expenses = $80

Total expenditure will be

Her annual net income = $32580

So, Her monthly net income will be

So, we can see that her income is more than her expenses.

So, she yield surplus.

Surplus = Revenue - Expenditure

Hence, It shows a surplus of $1255.

Hence, Option 'C' is correct.

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.