Answer:
$12000 at 5%
$27000 at 6.5%.
Step-by-step explanation:
Let x represent amount invested at 5% and y represent amount invested at 6.5%.
We have been given that a combined total of 39000 is invested in two bonds. We can represent this information in an equation as:
We are also told that the annual interest rate is 2355.00. We can represent this information in an equation as:
Upon substituting equation (1) in equation (2), we will get:
Therefore, an amount of $12,000 is invested at 5%.
Upon substituting in equation (1), we will get:
Therefore, an amount of $27,000 is invested at 6.5%.
Answer:
(4,3), (−4,8), (−4,3)
(2.5,−4), (0,0), (0,−4)
Step-by-step explanation:
On plotting on graph all form right angled triangle.
Dimension of all triangles and tanФ
- Base=2 Height=5 tanФ 2.5
- Base=5 Height=3 tanФ 1.6
- Base=8 Height=5 tanФ 1.6
- Base =2.5 Height=4 tanФ 1.6
[Here base and height can be interchanged if needed]
Ratio of perpendicular and base of last two triangle is equal.
First two are not congruent to any of other triangle but 3rd and 4th triangle are congruent .
Their coordinates are:
(4,3), (−4,8), (−4,3)
(2.5,−4), (0,0), (0,−4)
Answer:
x-intercept = 3 ; y-intercept = -5
Step-by-step explanation:
Lets rearrange the equation into the form y = mx + b:
5x - 3y = 15
-3y = 15 - 5x
Divide by -3:
y = 5x/3 - 5
Here we know that b (-5) is the y-intercept, and we can find the x-intercept by starting at the y-intercept and using the slope till we get the x-intercept. Or you can set y = 0 and solve for x, either way you get x-intercept = 3.
Answer:
y = 
x - 2
Step-by-step explanation:
Given parameters:
Coordinates = p(4,0)
Equation of the line -x+2y=12
Solution:
A line parallel to the given line will have the same slope as it is;
-x+2y=12
2y = x + 12
y = x + 
Since this conforms to y = mx + c where;
x and y are the coordinates
m is the slope
c is the intercept
Our slope is
The equation of the line is
y = mx + c
let us find c;
c = y - mx
c = 0 - ( x 4)
c = -2
Now the equation of the line parallel to the line given is;
y = x - 2
Answer:
Your answer is C.
Step-by-step explanation:
