This is the concept of financial mathematics, the simple interest rate is given by:
S.I.=(PRT)/100
where:
P=principle=$2500
R=rate=5.5%
T=time=1 year
Hence;
S.I.=(5.5*2500.1)/100
=$137.5
Thus the total amount he had after 1 year will be:
2500+137.5
=$2,637.5
Let's bear in mind that 5 gallons with a solution of 6% bleach, contains some water plus some bleach, how much bleach? well, is just 6% of 5 gallons or namely (6/100) * 5 gallons, or 0.30 gallons.
if we use "x" gallons of water, well pure water has no bleach, so is 0% bleach, and it has a (0/100) * x or 0x gallons of bleach.
the mixture will be say "y" gallons, and is 4% bleach, so (4/100) * y is 0.04y gallons in the mixture of bleach.
Answer: If you want to find the x and y intercepts, your answer would be...
x-intercept - (-4,0)
y-intercept - (0,2)
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
I hope this helps you out! ☺
Answer: $116,000
Step-by-step explanation:
The net operating income will be the operation profit after deducting the expenses from the accrued revenue (reserve exclusive)
The revenue generated are $215,000 + $3,000
= $218,000
Expenses incurred;
$102,000
The net operating income = $218,000 - $102,000
= $116,000
Note that reserves is not used in business operation. Therefore it cannot be regarded either as revenue or expenses.
1- The circumcenter refers to the central point or focal point of the circle which experiences the three vertices of the triangle. Review that all radii of a circle are congruent, i.e. equivalent to each other. So this is the reason the circumcenter is equidistant from the vertices of the triangle. The perpendicular bisectors are used to form the circumcenter, so the concurrency of perpendicular bisector theorem also explains.
2- The picture is not given.
3-The answer is right triangle.
In a right triangle, midpoint of hypotenuse is at equal distance from all the 3 vertices. So that is focal point of the circle going through all its 3 vertices. A right-angled triangle is a triangle which have one right angle. The connection between the sides and points of a right triangle is the reason for trigonometry. The side which lies as the opposite to the right angle is known as the hypotenuse.
4- The coordinates of the circumcenter of ABC with the vertices A(0,0), B(3,0), and C(3,2) is (1.5,1)
For the given triangle, vertex A lies on starting point; Vertex B lies on x-axis; and vertex C lies on hold parallel to y-axis. ==> AB along x-axis and BC opposite to AB. So the triangle ABC is a right triangle with its vertex B = 90 deg and AC has the hypotenuse. For a right triangle its circumcentre is the midpoint of hypotenuse. Consequently here the midpoint of AC = (1.5, 1), is the circumcenter of the triangle ABC.
