Answer:
Rita paid 47,500 dollars for the purchase price.
Step-by-step explanation:
We are given the sales tax on a new car is directly proportional to the purchase price of the car which means there is is something k such that
when you multiply it to the sales tax you get the purchase price.
Let's set this equation:
y=kx
Let y represent the purchase price and x the sales tax.
The second sentence tells us that (x,y)=(1500,30000).
We can plug this into y=kx to find the constant k. (Constant means it stays the same no matter what the input and output is).
So we have:
30000=k(1500)
300 =k(15) I went ahead and divided previous equation by 100.
Now divide both sides by 15:
300/15=k
Simplify:
20=k
So the equation to use the answer the question is
y=20x
where y is purchase price and x is sales tax.
So we want to know the purchase price on a car if the sales tax is 2375.
So replace x with 2375:
y=20(2375)
y=47500
Answer:
<u>x = 30°</u>
Step-by-step explanation:
2sinx - 1 = 0
2sinx = 1
sinx = 1/2
<u>x = 30°</u>
Answer:
- 37
Step-by-step explanation:
5 • 2 • ( - 4 ) + 6 ÷ 2
= 5 • 2 • ( - 4 ) + [ 6 ÷ 2 ]
= 10 • ( - 4 ) + 3
= - 40 + 3
= - 37
Answer:
h(x) = -16x² + 192x + 208
784ft
6 sec
13 sec
Step-by-step explanation:
a)
h(x) = -16x² +vx + h
here v represent velocity
represent initial height of launch
h(x) = -16x² + 192x + 208
b)
h(x) = -16x² + 192x + 208
here a = -16
b = 192
c = 208
x = -b/2a
= -192/2(-16)
= 6
plug this value in the equation
h(x) = -16(6)² + 192(6) + 208
= 784ft
e)
Plug h(x)=0 in the equation
0 = -16x² + 192x + 208
divide equation by -16
x² - 12x - 13 = 0
Factors
1x * -13x = -13
1x - 13x = -12
Factorised form
x² - 12x - 13 = 0
x² + x - 13x - 13 = 0
x(x+1) -13(x+1) = 0
(x+1)(x-13) = 0
x = -1
x = 13
Since time can not be negative so we will reject x = -1
Answer:
-18y=1
Step-by-step explanation:
Sorry if this is wrong, I was just guessing...
