Answer: $943.11
<u>Step-by-step explanation:</u>
Compound Interest formula is: 
where
- A is the Accrued amount (total earned)
- P is the Principal (amount initially invested)
- r is the interest Rate (convert percent to a decimal)
- t is the Time (number of years)
It is given that; P = 800 r = 4.2% (0.042) t = 4
A = 800(1 + 0.042)⁴
A = 800(1.042)⁴
A = 943.106 → A = 943.11 (rounded to the nearest penny)
Sarah invested $800 for four years at an interest rate of 4.2% and accrued $943.11
In the given system of equations, the value of x is 7.334 and the value of y is 7.714
<h3>Solving system of linear equations</h3>
From the question, we are to solve the given system of linear equations
The given system of linear equations is
3x + 7y = 76 ------------ (1)
9y + 5y = 108 ------------ (2)
From equation (2), solve for y
9y+ 5y = 108
14y = 108
y = 108/14
y = 7.714
Substitute the value of x into equation (1), to determine the value of x
3x + 7y = 76
3x + 7(7.714) = 76
3x + 53.998 = 76
Subtract 53.998 from both sides of the equation
3x + 53.998 - 53.998 = 76 - 53.998
3x = 22.002
Divide both sides of the equation by 3
3x/3 = 22.002/3
x = 7.334
Therefore,
x = 7.334 and y = 7.714
Learn more on Solving system of linear equations here: brainly.com/question/13729904
#SPJ1
Answer:
it will be 0.44%
Step-by-step explanation:
Answer:
y = 2x
Step-by-step explanation:
Answer:
The length of the chord is 16 cm
Step-by-step explanation:
Mathematically, a line from the center of the circle to a chord divides the chord into 2 equal portions
From the first part of the question, we can get the radius of the circle
The radius form the hypotenuse, the two-portions of the chord (12/2 = 6 cm) and the distance from the center to the chord forms the other side of the triangle
Thus, by Pythagoras’ theorem; the square of the hypotenuse equals the sum of the squares of the two other sides
Thus,
r^2 = 8^2 + 6^2
r^2= 64 + 36
r^2 = 100
r = 10 cm
Now, we want to get a chord length which is 6 cm away from the circle center
let the half-portion that forms the right triangle be c
Using Pythagoras’ theorem;
10^2 = 6^2 + c^2
c^2 = 100-36
c^2 = 64
c = 8
The full
length of the chord is 2 * 8 = 16 cm
