Question

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Answer 1

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 = $P(1+\frac{r}{n})^{nt}$

i.e. Amount = $1600(1+\frac{0.07}{2})^{2\times 33}$

i.e. Amount = $1600(1+\frac{0.035)^{66}$

i.e. Amount = $1600(1.035)^{66}$

i.e. Amount = $1600\times 9.68418}$

i.e. Amount = $15,494.70

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