Answer:
One Dollar and 80 cents.
Step-by-step explanation:
12 x 5 is 60. The amount of nickles multiplied by the value of one nickel which is 5 cents. Then you take the value of a dime and multiply it by the amount of dimes, 12. You get 120. Add 60 to 120 and you get 180. One Dollar is 100 cents, add 80 to 100 and you get one Dollar and 80 cents.
<span>1. The two boats picked for the trip are the steamboat and the tall ship. Let us assume that we will take the steamboat going to the island, and then we will take the tall ship for the return trip. We will then relate the distances travelled by both ships to each other.
2. We know that the steamboat takes five hours to complete the trip. The tall ship takes more time, at ten hours to complete the trip. We do not have the exact speeds of the steamboat or of the tall ship, but we do know that the tall ship is 10 knots slower than the steamboat. We likewise do not know the exact distance travelled by either ship, but we do know that both travel the same distance. We want to find out how fast each boat travels. We expect the answers to be in knots, with a difference of 10.
3. We know that distance is equivalent to the product of speed of a boat multiplied by the time of travel. For the trip going to the island, we will use the steamboat. Let its speed be x knots (equivalent to x nautical miles per hour), and let the distance going to the island be d nautical miles. Given that the time takes is 5 hours, this means that d = 5x.
4. If we let x be the speed of the
boat you are taking to the island (the steamboat), then we know that the speed of the other boat (the tall ship) is 10 knots less than the steamboat's. So the speed of the tall ship (for the return trip) is (x - 10) knots.
5. Similar to part 3: we will multiply speed by time to determine the distance from the island. From part 4, we have determined that the speed of the tall ship to be used in returning is (x - 10) knots. Meanwhile, the given in the problem says that the tall ship will take 10 hours to make the trip. Therefore the distance will be equal to d = 10(x - 10) = 10x - 100 nautical miles.
6. We can assume that the distance travelled going to the island is the same distance travelled coming back. Therefore, we can equate the formula for distance from part 3 for the steamboat, to the distance from part 5 for the tall ship.
5x = 10x - 100
7. Solving for x: 5x = 10x - 100
-5x = -100
x = 20
Since x is the speed of the steamboat, x = 20 means that the steamboat's speed is 20 knots.
8. We determined in part 4 that the speed of the second boat (in our case, the tall ship) is (x - 10) knots. Since we have calculated in part 7 that the steamboat travels at x = 20 knots, then the speed of the tall ship is (x - 10) = 20 - 10 = 10 knots.</span>
2. $5.10
4. 18%
I don't feel like doing 5 right now I'm watching hulu haha
Answer:
□ The temperature at a specific location as a function of time.
□ The temperature at a specific time as a function of the distance due west from New York City.
□ The altitude above sea level as a function of the distance due west from New York City.
Step-by-step explanation:
Temperature tends to vary continuously over distance and time.
Altitude rarely changes so abruptly we'd have to say it is a discontinuous function. Even a cliff has a (very high) defined slope.
Taxi charges tend to increment according to a rate schedule. That is, for each passing minute or fraction of a mile, the amount due jumps to a new value. We'd have to say those are discontinuous.
The nature of electrical circuits is such that current is never discontinuous. Even when the circuit is disconnected by a switch, the arcing at the switch contacts ensures the current is continuous as it rapidly goes to zero.
Answer:
Step-by-step explanation:
Since we are given the common ratio (3/2), all we need to find to define the geometric sequence, is its multiplicative factor (
) that corresponds to the first term of the sequence - remember that all consecutive terms will be generated by multiplying this first value repeatedly by the common ratio (3/2) as shown below:
Since we are given the information that 
we can use this to find the value of the first term:
Notice as well that the first term doesn't contain the common ratio, the second term contains the common ration (3/2) to the power one, the third one contains the common ratio to the power two, the fourth one contains it to the power three, and so forth. So the exponent at which the common ratio appears is always one unit less than the order (x) of the term in question. This concept helps us finalize the expression for the sequence's formula:
