Step-by-step explanation:
The problem statement says λ<1. If this is true, then the cannonball is slower than the boat, and it will never reach the boat. So I assume it's actually λ>1.
If we say t is the amount of time, then the boat travels south a distance of ut, and the cannonball travels a distance of λut.
v = λut
ut = v/λ
Using Pythagorean theorem:
d² + (ut)² > v²
d² + (v/λ)² > v²
λ²d² + v² > λ²v²
λ²d² > (λ² − 1) v²
λ² / (λ² − 1) > (v/d)²
Answer:
The income will they have left over after paying their federal income tax is <u>$64,850.00</u>.
Step-by-step explanation:
Given:
A married couple filing their federal income tax return jointly had a taxable
income of $76,300.
Now, to find according to the table the income will they left over after paying their federal income tax.
<em>So, as given in table:</em>
<em>The tax of the taxable income over $67,900 but not over $1,37,050 is $9,350 plus 25% of the amount over $67,900.</em>
As, the taxable income $76,300 falls in to the above conditions.
Now, to calculate the tax:
<em>Thus, the tax = $11450.</em>
Now, deducting the tax from the taxable income:
<em>So, the amount left = $64,850</em>.
Therefore, the income will they have left over after paying their federal income tax is $64,850.00.
Step-by-step explanation:
1st) Distribute 8 with x and 8 with -1 which will give you
8x-8=5x-35
2nd) Use opposite operation and add 8 both sides
8x-8=5x-35
+8 +8
---------------
8x=5x-27
3rd) subtract 5x from both sides
8x=5x-27
-5x= -5x
_______
3x=-27
4th) Divide 3 from both sides so -27 by 3
3x=-27
_ _
3 3
ANSWER X=-9
