Answer:
8th term- 6,561
Step-by-step explanation:
Each term in the sequence is being multiplied by 3. For example, 3x3=9 and 9x3=27. Now, we need to continue multiplying numbers, so we can list them all here, still starting with 3.
1&2) 3x3=9
3) 9x3=27
4) 27x3=81
5) 81x3=243
6) 243x3=729
7) 729x3=2,187
8) 2,187x3=6,561
The 8th term of the geometric sequence is 6,561.
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22. Okay. What we need to do for this one is subtract fraction.l, because we are looking for how much more the second container holds than the first. We need to covert them to like denominators, which in this case is 8 5 3/4 = 5 6/8. Because 6/8 is less than 7/8, we need to regroup by adding 8 and turning the 5 into a 4. The problem would become like this: 4 14/8 - 1 7/8. When you subtract both numbers, you get 3 7/8. There. The second container holds 3 7/8 more gallons of water than the first.
23.
a. 15 student speeches will last 1 1/2 minutes each. In this case, we just simply multiply the fractions by multiply straight across. Multiply the top numbers together and the bottom numbers together. 1 1/2 is 3/2 a an improper fraction. Make 15 have a denominator of 1. 15/1 * 3/2 is 45/2 or 22 1/2 as a mixed number. It will take 22 1/2 minutes to give the speeches.
b. Okay. The teacher makes a 15 minute intro. Let’s add the time it takes to make the speeches and the teacher’s intro. 22 1/2 + 15 0/2 is 37 1/2. Yes. There is enough time to record everyone.
c. There are 60 minutes in 1 hour. Subtract the total amount taken on the camera from 60. 0/2 is less than 1/2. Again, regroup by adding 2 to make 2/2, and crossing out 60, so it becomes 59. 59 2/2 - 37 1/2 is 22 1/2. There are 22 1/2 minutes left on the digital camera.
The amount of down payment Michelle paid for a dryer of $1,400 at 17% down payment is $238
Given:
Total cost of dryer = $1,400
down payment percentage = 17%
<em>Amount paid for down payment</em> = 17% of $1,400
= 17/100 × 1400
= 0.17 × 1400
= $238
Therefore, the amount of down payment Michelle paid for a dryer of $1,400 at 17% down payment is $238
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It will most likely just rain on Monday
