If f (x) = StartRoot 4 x + 9 EndRoot + 2, which inequality can be used to find the domain of f(x)? StartRoot 4 x EndRoot greater

Answer:

They anticipate the following ratio:

x/20 = 160/8, where x represents the population

Next

x = 20×160/8 = 400

Answer:

(1) The necessary proportion of spirit to varnish stands at 1:3.

(2) A total of 80 ml of mineral spirit is required.

(3) The ratio of the heights to the widths of the tapestries is 3:2.

Step-by-step explanation:

(1) To achieve a mixture containing 25% mineral spirit, the blend consists of 25% spirit and 75% varnish.

Therefore,

Consequently, the proportion of spirit to varnish is 1:3.

(2) Using 240ml of varnish indicates this is 75% of the entire solution, which means the ratio of varnish to the total solution is 3:4.

Let the total solution quantity be .

Thus, .

⇒

⇒

⇒

⇒

This means the total solution amounts to 320 ml.

Now, calculating Spirit = Total solution - Varnish

⇒Spirit = 320ml-240ml

⇒Spirit = 80ml

Therefore, when using 240 ml of varnish, you will require 80 ml of mineral spirit.

(3) The dimensions of Robison's tapestries are uniform at 1.5m in length and 1m in width. Initially, to obtain whole numbers, we multiply these dimensions by 10.

Thus, the dimensions become 15m long and 10m wide.

Now, the proportion of Height to Width is 15:10

⇒

⇒

Thus, the proportion of the heights of the tapestries to their widths is 3:2.

Answer:

Total deductions available for Marc and Michelle are $24750.  

Marc and Michelle's taxable income is $47750.

Further Explanation:  

Income Tax refers to the additional fee imposed on an individual’s earnings that must be paid to the government. Taxable income is derived by aggregating all incomes and factoring in all claimable deductions from an individual’s income.  

Here’s how to calculate the overall deductions available for Marc and Michelle:  

Total Deduction Available

= The highest of Standard Deduction for MJF and Itemized Deduction + Personal and Dependency  Exemptions  

= Maximum of $12600 and $6000 + $12150 ($4050×3)  

= $12600 + $12150  

=$24750.  

Consequently, Marc and Michelle's total deductions amount to $24750.

Their Gross Income

= Marc's Salary + Michelle's Salary + Interest Yield from Corporate Bonds  

= $64000 + $12000 + $500  

= $76500.  

Total Taxable Income of Marc and Michelle

= Gross Income – Qualified Moving Expenses – Alimony Paid – Total Deductions  

= $76500 - $2500 - $1500 - $$24750  

= $47750.  

Thus, Marc and Michelle's entire taxable income is $47750.

Learn More:  

1.      Learn more about the tax on the profit from selling fixed assets  

 

2.      Learn more about personal tax  

 

3.      Learn more about the role of money  

 

Answer details:  

Grade: Senior School  

Subject: Taxation  

Chapter: Income Tax  

Keywords: Taxable income, Marc and Michelle, Deductions, salary income, earned, corporate bond interest, interest on municipal bond, standard deductions, US tax brackets.

happy to help ya:)

It can be deduced that because line JL serves as a diameter for a circle, lines JK and KL function as the tangents of that circle. A tangent is defined as "a line that touches a curve at a singular point without intersecting it." Thus, both lines contact the perimeter of circle M, confirming they are tangents.