Answer:
m = 8
Step-by-step explanation:
5(m+5)=7m+9 (distribute & evaluate parenthesis)
5(m)+5(5)=7m+9
5m + 25 = 7m + 9 (move all m-terms to one side and constants to the other)
5m - 7m = 9 - 25 (evaluate both sides)
-2m = -16 (divide both sides by -2)
m = (-16) / ( -2) = 8
Answer:
- T(n) = 3n² - 4
- -189 doesn't belong
Step-by-step explanation:
<u>Given sequence:</u>
<u>The first differences:</u>
<u>The second differences:</u>
<u>If the sequence is T(n) = an² + bn + c, we have:</u>
<u>Using the first and second differences work out the value of zero term:</u>
This gives us c = - 4
<u>Now we have:</u>
<u>The first term is T(1) = -1, substitute n = 1 and find the value of b:</u>
- 3(1²) + b*1 - 4 = - 1
- 3 + b - 4 = - 1
- b = 0
<u>The nth term is:</u>
<u>Now lets find if -189 belongs to this sequence:</u>
- - 189 = 3n² - 4
- 3n² = - 185
The left side is positive and the right side is negative so the answer is also negative
Plug in the values into the compound interest formula
Answer:
2.08 x 10^11
Step-by-step explanation:
To put a number into scientific notation you move the decimal to the spot right after the first digit. To figure out what the power is you count how many digits you moved it past in order to get to the spot you want it (right after the first digit; in this case the 2)
So in this case you would move the decimal from the end of the number backwards past 9 zeros, the 8, and another zero, which is a total of 11 digits.
From there you take the number with the new decimal place and multiply by 10 to the power of the number you counted earlier, which for this example is 11
So the final answer is 2.08 x 10^11
Answer:
read step by step
Step-by-step explanation:
6 is +4.
19, 23, 27, 31
7 is all perfect square numbers
25, 36, 49, 64
8 is x2.
32, 64, 128, 256
9 is each number multiplied by the next. ex: 1x2=2, 2x3+6, 3x4=12
so the next few would be 30, 42, 56, 72
