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
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Answer:
The interest rate for the given investment is 18%.
Step-by-step explanation:
We are given that,
The function representing the investment model is,
.
It is required to find the interest rate for the investment.
Since, the function can be re-written as,

i.e. 
So, on comparing with the formula for compound interest i.e.
, where 'r' is the interest rate.
We have that,
The interest rate for the given investment is 0.18 i.e. 18%.
Answer:
about 89.27 inches
Step-by-step explanation:
This is a right triangle question
c^2 = a^2 + b^2
c^2 = 15^2 + 88^2
c^2 = 225 + 7744
c^2 = 7969
Take the square root of both sides
c = 89.2692556259
c ≈ 89.27 inches