Answer:
D) 5
Step-by-step explanation:
Answer:
t = 6 years
Step-by-step explanation:
Use the simple interest formula: i = prt, where p is the principal, r is the interest rate as a decimal fraction, and is the elapsed time, in years.
Here we want to know how long it will take for the interest alone to reach $449.40. We first solve i = prt for t, obtaining t = i/(pr).
Here, the length of time is t = ($449.40) / (0.06*$1498.00). This works out to
t = 5.9947, or approximately 6 years.
t = 6 years
Answer: The answer is ![\textup{The other root is }\dfrac{8}{3}~\textup{and}q=40.Step-by-step explanation: The given quadratic equation is[tex]3x^2+7x-q=0\\\\\Rightarrow x^2-\dfrac{7}{3}x-\dfrac{q}{3}=0.](https://tex.z-dn.net/?f=%5Ctextup%7BThe%20other%20root%20is%20%7D%5Cdfrac%7B8%7D%7B3%7D~%5Ctextup%7Band%7Dq%3D40.%3C%2Fstrong%3E%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3E%3Cstrong%3EStep-by-step%20explanation%3A%20%20%3C%2Fstrong%3EThe%20given%20quadratic%20equation%20is%3C%2Fp%3E%3Cp%3E%5Btex%5D3x%5E2%2B7x-q%3D0%5C%5C%5C%5C%5CRightarrow%20x%5E2-%5Cdfrac%7B7%7D%7B3%7Dx-%5Cdfrac%7Bq%7D%7B3%7D%3D0.)
Also given that -5 is one of the roots, we are to find the other root and the value of 'q'.
Let the other root of the equation be 'p'. So, we have

and

Thus, the other root is
and the value of 'q' is 40.
Answer:
x=3
Step-by-step explanation:
Simplifying
4(4x + -3) = 36
Reorder the terms:
4(-3 + 4x) = 36
(-3 * 4 + 4x * 4) = 36
(-12 + 16x) = 36
Solving
-12 + 16x = 36
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '12' to each side of the equation.
-12 + 12 + 16x = 36 + 12
Combine like terms: -12 + 12 = 0
0 + 16x = 36 + 12
16x = 36 + 12
Combine like terms: 36 + 12 = 48
16x = 48
Divide each side by '16'.
x = 3
Simplifying
x = 3
Answer:
$2561.99 a quarter
Step-by-step explanation:
Just add together what they pay every year, then multiply by 25.5% (because that's the quarterly premium.)
Annual cost = insurance + dental + vision
= 8900 + 772 + 375 = $10047 a year.
Quarterly cost = 25.5% of annual cost
Whenever you see of, think of multiplication!
25.5% = .255
Quarterly cost = .255 * 10047 = <u>$2561.99 a quarter</u>