Answer:
9 mph
Step-by-step explanation:
-let x be the speed of current and t be time. The speed equation for both directions can then be represented as:
#Since t is equal in both, we can do away with t.
#We the divide the downstream equation by the upstream equation as:
Hence, the boat's speed in still water is 9 mph
-x - y = 8
2x - y = -1
Ok, we are going to solve this in 2 parts. First we have to solve for one of the variables in one of the equation in terms of the other variable. I like to take the easiest equation first and try to avoid fractions, so let's use the first equation and solve for x.
-x - y = 8 add y to each side
-x = 8 + y divide by -1
x = -8 - y
So now we have a value for x in terms of y that we can use to substitute into the other equation. In the other equation we are going to put -8 - y in place of the x.
2x - y = -1
2(-8 - y) - y = -1 multiply the 2 through the parentheses
-16 - 2y - y = -1 combine like terms
-16 - 3y = -1 add 16 to both sides
-3y = 15 divide each side by -3
y = -5
Now we have a value for y. We need to plug it into either of the original equations then solve for x. I usually choose the most simple equation.
-x - y = 8
-x - (-5) = 8 multiply -1 through the parentheses
-x + 5 = 8 subtract 5 from each side
-x = 3 divide each side by -1
x = -3
So our solution set is
(-3, -5)
That is the point on the grid where the 2 equations are equal, so that is the place where they intersect.
Answer:
Tax credits
State licensing fees
State taxes
Step-by-step explanation:
Tax credits- Usually referred to as a tax deduction. States such as California have an electric car tax credit to encourage transition from carbon-fueled cars to electric or hybrid cars.
State licensing fees-Cars are usually registered in the state in which they are purchased. As such you have to pay the state's licensing fee during car purchase.
State taxes-Different states have different sales tax charged on new, used or leased cars.
Answer:
6 millimeters
Explanation:
The standard deviation is the square root of the variance.
Since the variance is 36, the standard deviation would be
√36 = 6
Hello from MrBillDoesMath!
Answer:
Interest paid = $ 1,713,568.73
Monthly p[payment = $4913.25
Discussion:
From the "compound interest formula:
A = final amount
P = Initial amount (Principal)
r = yearly interest rate
n = number of years of accumulation.
In our case,
A = 350000( 1 + .052)^35 =
350000 (5.90) = (approx)
$2,063,568.73
Interest = $2,063,568.73 - 350000 = $ 1,713,568.73
There are 35 *12 = 420 months in 35 years. So the monthly payment would be ($2,063,568.73 / 420) = $4913.25
Thank you,
MrB
