2x+10+2=6x-12
4x = 24
x= 6
An example of a number you're looking for is 8.625
Answer:
The hotel at Qakertown charged $5000 before tax while the hotel at Doleystown charged $5,500 before tax
Step-by-step explanation:
In this question, we have a musical band that visited two different towns which hotel charge different amounts at different tax rate. We are now given the total amount in taxes and now asked to calculate what is charged in each of the towns.
Let’s proceed!
Since we do not know the amount charged in each of the towns, let the amount charged at the hotel at Quakertown be $x and the amount charged at the hotel at Doleytown be $y.
Doley charged $500 more then what is charged at Quaker.
Mathematically;
y = 500 + x •••••••••••••••(I)
Let’s now work with the taxes;
Tax rate at Doley is 6% or say 0.06; the amount of tax paid at Doley is thus 0.06y
Tax rate at Quaker is 3% or say 0.03; the amount of tax paid at Quaker is thus 0.03x
Mathematically;
0.06y + 0.03x= 480 •••••••••(ii)
We can substitute i into ii
0.06(500 + x ) + 0.03x = 480
30+ 0.06x + 0.03x = 480
30 + 0.09x = 480
0.09x = 480 - 30
0.09x = 450
x = 450/0.09
x = $5,000
y = 500 + x
y = 500 + $5000 = $5,500
<h3>
Answer:</h3>
$3,717.14
<h3>
Step-by-step explanation:</h3>
Compound interest is the interest on the principal funding as well as the interest itself.
Compound Interest Formula
Compound interest can be solved by plugging known values into a formula.
In this formula, the variables stand for different values.
- A = total amount
- P = principal amount
- r = rate as a decimal
- n = times compounded per time period
- t = time
So, for this question, we can plug in the values we are given and solve for P.
Identifying Known Values
First, let's find the exact numbers we are going to plug in.
- 6000 is the final amount we want, so A = 6000.
- 6%, the rate, is 0.06 as a decimal, so r = 0.06.
- Since interest is compounded each month per year, n = 12.
- The total time is 8 years, so t = 8.
Solving For P
Now we can plug all of these values in.
First, simplify the values within the parentheses and in the exponent through arithmetic.
Next, divide both sides by 
*Note that the answer has been rounded to the nearest hundredth.
This means that you would need to deposit $3,717.14 into the account to have $6,000 in 8 years.
Answer:
700
Step-by-step explanation:
Since t represents the amount of years after the opening and you want to know the amount of employees working there on opening day you can plug in 0 for t.
n=700(.2)^.5(0)
n=700
