Respuesta :
Answer:
1. B. 5.76 × 10¹⁴ miles.
2. D. $15,494.70
Step-by-step explanation:
Question 1: We have,
Distance light traveled in one year = 5.88 × 10¹² miles.
Since, the star is 9.8 × 10¹ light years away.
So, we get,
Total number of miles the star is away = 5.88 × 10¹² × 9.8 × 10¹ = 57.62 × 10¹³ miles.
Hence, the total number of miles are 5.76 × 10¹⁴ miles.
Question 2: We have,
Principle amount, P= $1,600
Rate of interest, r = 7% = 0.07
Time period, t = 33 years
Moreover, the interest is compounded twice per year i.e. n=2.
Since, Amount = [tex]P(1+\frac{r}{n})^{nt}[/tex]
i.e. Amount = [tex]1600(1+\frac{0.07}{2})^{2\times 33}[/tex]
i.e. Amount = [tex]1600(1+\frac{0.035)^{66}[/tex]
i.e. Amount = [tex]1600(1.035)^{66}[/tex]
i.e. Amount = [tex]1600\times 9.68418}[/tex]
i.e. Amount = $15,494.70
Hence, the balance in the account is $15,494.70.
