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
You have to plot the y intercept which is (0,3) and use the slope 1/2
Answer:
R = 25
Step-by-step explanation:
Answer:
29550
Step-by-step explanation:
1.5 percent of 30000 is 450, so subtract 450 from 30000
Answer:
Mykel can make 2.79 x 10³² different combinations
Step-by-step explanation:
We can solve this problem using combination
The formula for combination is ⁿCₐ = 
where n = total number of choices available
a = number of items being chosen
The total movies Mykel wants is 99.
Taking out the sure 66 drama movies,
Mykel is left with 99 - 66 choices = 33 choices.
The total number of choices he is left with is 66 foreign + 33 children + 44 documentaries = 143 movies
Hence, our n = 143 movies
and a = 33 choices
Hence we do, ¹⁴⁴C₃₃ = 
= 
2.79 x 10³² combinations
∴ Mykel can make 2.79 x 10³² different combinations.
