A home’s value increases at an average rate of 5.5% each year. The current value is $120,000. What function can be used to find

For this query, the time presented seems unclear to me. I understand that the rate of return is determined by total return over the investment. Assuming Matt received $400 as dividends without reinvesting them into additional shares, his total return across two years amounted to $500. Conversely, if the dividends were reinvested into the stock—something that typically happens with a 401(k) or IRA—his ROI would render a mere 6% due to only a $100 gain on a $1500 investment. In an actual market scenario, it’s likely that Matt would have experienced about a 5% return on a solid stock, while Bella would have had approximately 0.05% from a savings account.

I hope this was helpful!;)

Answer:

160/1001, 175/1001

Step-by-step explanation:

i) We calculate:

₈C₁ methods to select 1 new camera from a selection of 8

₆C₃ methods to select 3 refurbished cameras from a selection of 8

₁₄C₄ methods to select 4 cameras from the total of 14 cameras

The probability formula is:

P = ₈C₁ ₆C₃ / ₁₄C₄

P = 8×20 / 1001

P = 160 / 1001

P ≈ 0.160

ii) For at most one new camera, it means we want either one new camera or none at all. We've calculated the probability of selecting one new camera already. The probability of not selecting any new camera is equivalent to selecting 4 refurbished cameras:

P = ₆C₄ / ₁₄C₄

P = 15 / 1001

Therefore, the combined probability is:

P = 160/1001 + 15/1001

P = 175/1001

P ≈ 0.175

Answer:

C. 181.7 miles

Answer:

The chance of remaining dry throughout the whole festival is 0.19

Step-by-step explanation:

According to the Complement Rule, the aggregate of the probabilities of an event and its opposite is always equal to 1.

Here, we consider the likelihood of rain each day, so we need to find the chances of it NOT raining.

On the first day, there's a 45% possibility of rain; thus, the complement is 55%

On the second day, the chance of rain is 55%, making its complement 45%

For the third day, the likelihood is 10%, giving a complement of 90%

On the fourth day, the rain chance remains 10%, so the complement stays at 90%

The fifth day presents a 5% chance of rain, resulting in a complement of 95%

To determine the probability of not encountering rain for the entire festival, we multiply all the complements.

P(not raining) = 0.55 x 0.45 x 0.90 x 0.90 x 0.95= 0.19