Answer:
671,088,640.
Step-by-step explanation:
To determine the 14th term of the geometric sequence that begins with 10, 40 and 160, knowing that each number is multiplied by 4, the following calculation must be performed, taking into account that the initial number (10) is multiplied by 4, and that said number must be potentiated 13 times to obtain the 14th term:
10 x (4 ^ 13) = X
10 x 67,108,864 = X
671,088,640 = X
Therefore, the 14th term of the geometric sequence will be 671,088,640.
7m - 3m + 5 = 45
4m + 5 = 45
45-5 = 40
4m = 40
40/4
m = 10 minutes
Since Bryan spent $15.50 less than Sarah, you would start by dividing the total amount they spent together in half.
$47.50 ÷ 2 = $23.75
Then you would take Bryan's 1/2 of the total and subtract $15.50.
$23.75 - $15.50 = $8.25
So, it looks like Bryan spent $8.25.
Check step:
If you add it all back together:
Sarah + Sarah Bryan = Total
$23.75 + $15.50 + $8.25 = $47.50
__________________________________________
- ➠ Principal = $ 35000
- ➠ Rate of interest = 3%
- ➠ Time = 3 yrs (36 months)
Answer:
x = 10
Step-by-step explanation:
Given:
Arc LM = 13x - 10
Arc MN = 7x - 10
Required:
Solve for x
Solution:
Recall: half a circle = 180°
Therefore,
Arc LM + Arc MN = 180°
13x - 10 + 7x - 10 = 180
Add like terms
20x - 20 = 180
20x - 20 + 20 = 180 + 20
20x = 200
20x/20 = 200/20
x = 10
