Fee of $65
$10.50 per hour
'x' represents hours
Therefore we have:
y = 10.50x + 65
Because 10.50 is the cost per hour, and x represents hours, so we put these together. 65 is a one-time fee, so we just add it on.
Answser: first option <span>350(0.95)^x + 30x - 350
Explanation:
You can figure out the </span><span>function that shows the difference in price between option 1 and option 2 if you make a table simulating the behavior for a few months:
month price as per option 1 price as per option 2
start 350 350
1 350 - 5% (350) = 350 - 30
= 350 (0,95)
2 350 (0,95)×(0,95) =
350 (0,95)² 350 - 30(2)
3 350 (0,95)³ 350 - 30(3)
So now you can figure out the price with each option after x months:
350 (0.95)ˣ 350 - 30x
And the difference is 350 (0.95)ˣ - [350 - 30x]
Which, expanding the square brackets, is 350 (0.95)ˣ + 30x - 350 ↔ the first option.
</span>
Answer:
Measure of each angle is 90 degree.
Step-by-step explanation:
Given : If two consecutive angles of a parallelogram are congruent.
To find the measure of each angle:
There are 6 important properties of parallelograms:
- Opposite sides are congruent.
- Opposite angles are congruent
- Consecutive angles are supplementary.
- If one of the angle is right angle, then all angles are right.
- Diagonals of a parallelogram bisect each other
- Also, each diagonal of a parallelogram separates it into two congruent.
let A and D be two consecutive angle.
then, by the given condition
......[1]
From the property of parallelogram:
Consecutive angles are supplementary
Then;

From equation [1];

Combine like terms :

Divide both sides by 2 we get;

Simplify:

From the given property of parallelogram : if one of the angle is right, then all the angles in the parallelogram are right angle.
∴ 
Therefore, the measure of each angle is 
Answer:
Distance from point (0,1,1) to the given line is zero.
Step-by-step explanation:
Given parametric equations of line,
x=2t, y=5-2t, z=1+t
To find distance from (0,1,1), we have to eliminate t from above equations so that,


whose direction ratioes are (l,m,n)=(3,2,-2) and distance fro point (a,b,c)=(0,1,1) is given by,

Distance between point (0,1,1) and (1) is zero. That is point 90,1,1) is lies on the line (1).
Answer:
7.6
14.8
23.2
Step-by-step explanation:
a = 1.6, a = 4, a = 6.8
3a + 2.8 when a = 1.6
= 3(1.6) + 2.8
= 4.8 + 2.8
= 7.6
3a + 2.8 when a = 4
3(4) + 2.8
= 12 + 2.8
= 14.8
3a + 2.8 when a = 6.8
= 3(6.8) + 2.8
= 20.4 + 2.8
= 23.2