we have
we know that
The x-intercept is the value of x when the value of the function is equal to zero
so
in this problem
Find the roots of the function
equate the function to zero
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
Square root both sides
therefore
<u>the answer is</u>
the x-intercepts are the points 
and 
10 is the square root of only 100, so I know that the square root of 185 must be longer.
The square root of 185 is about 13.6 , so the garage must be absolutely
not any shorter than 14-ft, and 15-ft or 16-ft would be even better.
Step-by-step explanation:
To determine the future value for the 401(k), we need to determine the amount contributed annually. It is stated that the amount the employee contributes to the fund is 9% of $45,624. $45,624(0.09) = $4,106.16 The employer contributes a maximum of 3% of the employee contribution. Therefore: $45,624(0.03) = $1368.72. Therefore, the total annual contribution is $5,474.88, giving a future value of $196,302.40. For the Roth IRA, the monthly contributions are $352.45 giving a future value of $152,636.09. Therefore, the 401(k) has a greater future value by $43,666.31.
Answer: 70.6 cm
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
20x+160=10x+200
20x-10x=200-160
10x=40
x=4
