A game spinner has regions that are numbered 1 through 8. If the spinner is used twice, what is the probability that the first n

.4

Response:

Thorough analysis:

I believe that option 4 is the right choice

Answer:

Step-by-step explanation:

First, we apply the Pythagorean theorem to determine the distance from Manuel’s home to the resort.

S1 = √50²+20²

S1 = √2500+400

S1 = √2900

S1 = 53.85m

Next, we find the distance from Manuel's home to his friend’s residence.

S2 = √15²+10²

S2 = √225+100

S2 = √325

S2 = 18.03m

The distance between the two boys and the resort will be represented as ∆S = S2 - S1.

∆S = 53.84 - 18.03

∆S = 35.81m

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>