Answer:
0.05x+0.25y=8.75; the y intercept represents that if she found 0 nickels she must have found 35 quarters.
Step-by-step explanation:
1. Solve for y:
0.25y= 8.75-0.05x (subtract 0.05x on both sides)
y= (8.75-0.05x)/0.25 (divide by 0.25 on both sides)
2. Since the y intercept can be found when x equals 0, plug in 0 for x into the equation.
y=(8.75-0.05(0))/0.25
y= 8.75/0.25
y=35
Answer: 36 years
Step-by-step explanation:
Exponential equation to represent growth:-
, where A is the initial value , r is the rate of growth and t is the time period.
Given : A rare coin appreciates at a rate of 5.2% a year. If the initial value of the coin is $500.
i.e. Put A= 500 and r= 0.052 in the above formula.
The amount after t years:
Inequality for value cross $3,000 mark:
Divide both sides by 500
Taking log on both sides , we get
Hence, it will take approx 36 years to cross the $3,000 mark.
This can be solved using trigonometric functions. The distance x serves as one leg of a triangle, and makes an angle q with the hypotenuse. The distance from the tip of the rocket to the ground make up the other leg of the triangle. So solving this:
tan q = y / x
Where: y = distance from the tip of the rocket to the ground
Therefore, y = x tan q
Among the choices, the correct answer is C.
Answer:
1405.8 pence fare
Step-by-step explanation:
First we have to change meters into km by dividing the distance by 1000
here we have:
Fare: 9 pence
Distance: 100m/1000 = 0.1 km
when it was
0.1 km -----------> 9 pence fare
if 1 km ------------> 9/0.1 fare
if 15.62 ------------> 9*15.62/0.1
15.62 km ----------> 1405.8 pence fare.
<span> The difference between the observed </span>value<span> of the dependent variable (y) and the predicted </span>value<span> (ŷ) is called the </span>residual<span> (e). When x is equal to 3, the value of y from the best fit line would be 0.8. Therefore, the residual would be -1 - 0.8 = -1.8. Option A is the correct answer.</span>
