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 miles b. 5.76 x 10^14 miles c. 5.88 x 10^12 miles d. 9.8 x 10^12 miles 2. 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. $4,979.11 b. $14,920.54 c. $112,992.00 d. $15,494.70

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 =

i.e. Amount =

i.e. Amount =

i.e. Amount =

i.e. Amount =

i.e. Amount = $15,494.70

Hence, the balance in the account is $15,494.70.

typically if you want , you would actually put questions here for us to you. but hey, that's just me. maybe someone will magically answer the questions for you without knowing what they are.

cosine

step-by-step explanation: