Let the number of holes of golf you can play be x before your money runs out. I assume both the costs of playing and the income should be equal.
Let your expenses be 25 + 0.50x
Let your income be
a = 18
n = x
d = -1
Sum of income =(a + L)*n/2; L = a + (n - 1)*d
sum of income = (a + a + (x - 1)*d )*x/2
Sum of income = (2a + (x- 1)*(-1) ) * x/2
Sum of income = (2*18 + (x -1 ) (-1) ) * x / 2
Sum of income = (36 - x + 1) * x / 2
Sum of income = (37 - x )* x / 2 Now the income has to equal the expenses.
25 + 0.5x = (37 - x)*x/2 Multiply both sides by 2 and remove the brackets.
50 + x = 37x - x^2 Bring the right side over to the left.
x^2 - 36x + 50 = 0
You need help from the quadratic formula
a = 1
b = -36
c = 50
This does not come to anything nice. I'm getting x = 34.6 holes or x = 1.44.
Answer:
y=1/4x+4
Step-by-step explanation:
1. y1-y2/x1-x2 = slope
6-2/8--8
6-2/8+8
4/16
1/4 = slope
2. y=mx+b (m=slope and b= y-intercept)
y=1/4x+b
(plug in one set of coordinates for x and y)
6=1/4(8)+b
6=2+b
6-2=b
4=b
(plug in 4 as y-intercept)
y=1/4x+4
Answer:
false
Step-by-step explanation:
Answer:
i mean it can be but i would say yes and no
Step-by-step explanation:
Answer:
Most individual U.S. states collect a state income tax in addition to federal income tax. The two are separate entities. Some local governments also impose an income tax, often based on state income tax calculations. Forty-two states and many localities in the United States impose an income tax on individuals. Eight states impose no state income tax, and a ninth, New Hampshire, imposes an individual income tax on dividends and interest income but not other forms of income. Forty-seven states and many localities impose a tax on the income of corporations.[1]
State income tax is imposed at a fixed or graduated rate on taxable income of individuals, corporations, and certain estates and trusts. The rates vary by state. Taxable income conforms closely to federal taxable income in most states, with limited modifications.[2] The states are prohibited from taxing income from federal bonds or other obligations. Most do not tax Social Security benefits or interest income from obligations of that state. Several states require different useful lives and methods be used by businesses in computing the deduction for depreciation. Many states allow a standard deduction or some form of itemized deductions. States allow a variety of tax credits in computing tax.
Each state administers its own tax system. Many states also administer the tax return and collection process for localities within the state that impose income tax.
