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.

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so:

explanation:

step-by-step explanation: