Please help i'll give you brainliest answer!1. Astronomers measure large distances in light-years. One light year is the distance that light can travel in one year, or approximately 5.88 x 10^12 miles. Suppose a star is 9.8 x 10^1 light years from Earth. In scientific notation, approximately how many miles is it?A. 5.88 x 10^13 milesB. 5.76 x 10^14 milesC. 5.88 x 10^12 milesD. 9.8 x 10^12 miles2. A 1,600.00 principal earns 7% annual interest, compounded semiannually (twice per year). After 33 years, what is the balance in the account?A. $4,979.11B. $14,920.54C. $112,992.00D. $15,494.70

Answer:1. B. 5.76 × 10¹⁴ miles.2. D. $15,494.70Step-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= $1,600Rate of interest, r = 7% = 0.07Time period, t = 33 yearsMoreover, 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 = $15,494.70Hence, the balance in the account is $15,494.70.