Answer:
0.286
Hope that helps!
Step-by-step explanation:
Given:
Amount = Rs. 9,144
Time = 3 years.
Rate of simple interest = 9%
To find:
The principal value.
Solution:
The formula for simple interest is:

Where, P is principal, r is the simple rate of interest, and t is the number of years.
Putting
in the above formula, we get



We know that,



Divide both sides by 1.27, we get


Therefore, the principal value is Rs. 7200.
Answer:
250 ft.
Step-by-step explanation:
It seems that you are learning the side-splitter theorem right now. If a line is parallel to one side of the triangle and intersects the other two sides, it divides the side proportionally. From the picture we can tell that the streets are parallel, with a line of intersection. Therefore, we can create the following equation of proportionality:

Now that we have this equation, we can use the <u>butterfly method</u> to solve for x. We <u>cross multiply</u>:

Now, all we have to do is <u>isolate</u> the variable to find x:

Therefore, the distance of Orange Ave between the 3rd St. and 4th St. is 250 ft.
<em>I hope this helps! Please let me know if you have any further questions :)</em>
Answer:
49
Step-by-step explanation:
If the smaller number is
x
, then the larger number is
2
x
−
3
Explanation:
(
x
)
+
(
2
x
−
3
)
=
75
3
x
−
3
=
75
3
x
=
78
x
=
26
The numbers are 26 and 49.
Answer: 15
Step-by-step explanation:
First step is to find the slope of the line given
y = -x - 2
y = mx + c where m is the slope of the line so the slope of the line is -1
If 2 lines are perpendicular to one another, the product of the slopes is -1 so the slope of the perpendicular line is -1/-1 = 1
y = 1x + c or y = x + c
As the line passes through the coordinate (-5,10), we can substitute the x and y value of the coordinates into the equation
10 = -5 + c
c = 15
So the equation of the line is y = x + 15