Answer:
Yeah you are correct
Step-by-step explanation:
We are given the following information
Investment = $5200
Annual interest rate = 4.2% = 0.042
Final amount = $16,500
Number of years = 27.7 years
Number of compoudings = quartely = 4
The student uses the following model

The general formula for compound interest is given by

As you can see, the number of compoundings is incorrect (3 vs 4)
The interest rate is also incorrect.
Let us substitute the given values into the above formula

Therefore, the final amount is approximately $16,543.5
Answer:
(b) 
Step-by-step explanation:
Let E: Event of getting a 3 in the spinner.
So, the number of favorable outcomes = 11
Total number of outcomes = Number of times the outcomes is {1,2,3,4,5,6}
= {13 +10 +11+16+11} = { 61}
So, the total number of outcomes = 61

So, here 
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