To solve for x in an inequality is very similar to solving for x in an equation since for both you would need to isolate x.

step 1) -2x-4>8 add the 4 over to move any constants over to the +4 +4 other side.
-2x> 12

step 2) x< -6 Divide out the -2 to isolate x, however, keep in mind, when you divide or multiply over any negative number, you must also remember to flip the inquality sign.

Answer: x<-6

6 0

4 years ago

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A person places $4080 in an investment account earning an annual rate of 5.7%, compounded continuously. Using the formula

tangare [24]

We have been given that a person places $6340 in an investment account earning an annual rate of 8.4%, compounded continuously. We are asked to find amount of money in the account after 2 years.

We will use continuous compounding formula to solve our given problem as:

, where

A = Final amount after t years,

P = Principal initially invested,

e = base of a natural logarithm,

r = Rate of interest in decimal form.

Upon substituting our given values in above formula, we will get:

Upon rounding to nearest cent, we will get:

Therefore, an amount of $7499.82 will be in account after 2 years.

4 0

3 years ago

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Find the sine ratio of angle X. Hint: Use the slash symbol ( / ) to represent the fraction bar, and enter the fraction with no s

dybincka [34]

Sin A = 28/35 = 4/5 =0.8

6 0

2 years ago

sarah can complete a project in 90 minutes and her sister betty can complete it in 120 minutes if they both work on the project

alukav5142 [94]

Answer:

It will take them approximately 51.43 minutes to complete the project together

Step-by-step explanation:

This is what is called a "shared job" problem.

The best way to work on them is to start by finding the "portion" of the job done by each of the people in the unit of time.

So, for example, Sarah completes the project in 90 minutes, so in the unit of time (that is 1 minute) she completed 1/90 of the total project

Betty completes the project in 120 minutes, so in the unit of time (1 minute) she completes 1/120 of the total project.

We don't know how long it would take for them to complete the project when working together, so we call that time "x" (our unknown).

Now, when they work together completing the entire job in x minutes, in the unit of time they would have done 1/x of the total project.

In the unite of time, the fraction of the job done together (1/x) should equal the fraction of the job done by Sarah (1/90) plus the fraction of the job done by Betty. This in mathematical form becomes:

$\frac{1}{x} =\frac{1}{90} +\frac{1}{120}\\\frac{1}{x} =\frac{4}{360} +\frac{3}{360}\\\frac{1}{x} =\frac{7}{360} \\x=\frac{360}{7} \\x=51.43\,\,min$

So it will take them approximately 51.43 minutes to complete the project together.

8 0

3 years ago