A ball is thrown straight up from the height of 3 ft with a speed of 32 ft/s. It’s height above the ground after x seconds is gi

Answer:

55°

Step-by-step explanation:

The problem does not have a suitable diagram. Please check the attachment for the diagram.

Observing the diagram, it is evident that the triangle is isosceles, as it has two sides that are congruent (i.e., the same length). Since these sides are identical, the base angles are consequently also equal.

From the diagram, <EFG = <EGF

Since  <EFG  = 55°, it follows that  <EGF = y = 55°

Thus, the value of y is established as 55°

To find the solution, we will utilize the compound interest formula: 
where
represents the total amount after years
tex]P[/tex] indicates the original investment 
signifies the interest rate expressed in decimal
shows the frequency of compounding per year
indicates the duration in years

According to our problem, the initial investment is <span>$30,000 with a duration of ten years, thus </span> and . Interest is compounded annually, so . To convert the percentage interest rate into decimal, we divide it by 100%


Now, we can insert these values into our formula:



Substituting  with :


Consequently, we find that the correct answer is D. 

Finally, to determine <span>the total amount Yolanda will have after ten years, we just need to carry out the operations in our equation: 
</span>



Thus, we conclude that Yolanda will end up with $64,170.54 in her account after a decade of earning <span>at a compound interest rate of 7.9% yearly.</span>

To maintain F-1 status, it is necessary for an individual to enroll in more than 50% of their courses during the MAIN term.

Answer:

Step-by-step explanation:

Let the number of cans collected by Shane be x.

Thus, the number of cans collected by Abha is x + 178.

Given that a minimum of 2000 cans is required to be collected.

Therefore, we have the inequality,[ [TAG_19]]

Total cans by Shane + Total cans by Abha ≥ 2000.

That is,

Thus, the necessary inequality is .

The response indicates that the test comprises 10 questions worth 3 points each and 14 questions worth 5 points. If there are any queries, feel free to ask!!! Thank you!