Given:
A directed line segment begins at F(-8, -2), ends at H(8, 6), and is divided in the ratio 8 to 2 by G.
To find:
The coordinates of point G.
Solution:
Section formula: If a point divide a line segment with end points and
in m:n, then the coordinates of that point are
Point G divide the line segment FH in 8:2. Using section formula, we get
Therefore, the coordinates of point G are (4.8, 4.4).
The maturity value of a loan of $2500 at the simple interest rate of 4.3% that is needed to be repaid in 8 months is $2607.50.
<h3>What is simple interest?</h3>Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,
where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.
As it is given the principal amount of the loan is $2500, while the interest rate is 4.3%, therefore, after a period the interest on the loan will be,
Thus, the interest amount on the loan of $2500, is $107.5.
Now, in order to find the value of the loan we need to add the interest and the principal amount of the loan together. Therefore, the value of the loan can be written as,
The value of the loan = Principal Amount + Interest rate
= $2500 + $107.5
= $2607.50
Hence, the maturity value of a loan of $2500 at the simple interest rate of 4.3% that is needed to be repaid in 8 months is $2607.50.
Learn more about Simple Interest:
Answer: Radius = 10 cm and Arc length = 5 cm
Step-by-step explanation:
The area of a sector with radius r and central angle (In radian) is given by :-
Given : A sector of a circle has area and central angle 0.5 radians.
Let r be the radius , then we have
Thus, radius = 10 cm
The length of arc is given by :-
Hence, the length of the arc = 5 cm