Answer: I'm gonna say (3,-2)
Step-by-step explanation: my best guess, bc they intersect
First change them all into either fractions or decimals. Decimals are probably easier though. 1/5 = 0.2; 12/25 = 0.48; 4/5 = 0.8
Order: 0.2, 0.35, 0.48, 0.5, 0.8
Then you change the decimals that you converted back into the fraction form
Answer: 1/5, 0.35, 12/25, 0.5, 4/5
If you are given t<span>he valley of at least 4 feet below sea level, and then let us assume that x is the distance of the valley, then the inequality is x < 4. </span>
We are asked in the problem to determine the graph that represents the reflection of f(x) = 10^x. This function is an exponential function that is also asymptotic to the y axis. Asymptotic means that a function approaches a number at the x or y axis but not necessarily touching it. In this case, the function is asymptotic to y =0. The graph of f(x) = 10^x is attached on this answer. The reflection is simply taking f(-x) as we substitute -x to x. The resuting function is f(x)= 10 ^ -x. We can see from the graphs that they mirror each other at x = 0.
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
