Answer:
x = 5
arcEF = 58degrees
arcGH = 55degrees
Step-by-step explanation:
Find the diagram attached
The sum of angle on the straight line EH is 180degrees
Hence arcEF+ arcFG + arcGH = 180
10x+8 + 67 + 11x = 180
21x + 75 = 180
21x = 180 - 75
21x = 105
x = 105/21
x = 5
Since EF = 10x+8
arcEF = 10(5) + 8
arcEF = 50+8
arcEF = 58degrees
Also, arcGH = 11x
arcGH = 11(5)
arcGH = 55degrees
Answer:
Step-by-step explanation:
This is a system of inequalities problem. We first need to determine the expression for each phone plan.
Plan A charges $15 whether you use any minutes of long distance or not; if you use long distance you're paying $.09 per minute. The expression for that plan is
.09x + 15
Plan B charges $12 whether you use any minutes of long distance or not; if you use long distance you're paying $.15 per minute. The expression for that plan is
.15x + 12
We are asked to determine how many minutes of long distance calls in a month, x, that make plan A the better deal (meaning costs less). If we want plan A to cost less than plan B, the inequality looks like this:
.09x + 15 < .15x + 12 and "solve" for x:
3 < .06x so
50 < x or x > 50
For plan A to be the better plan, you need to talk at least 50 minutes long distance per month. Any number of minutes less than 50 makes plan B the cheaper one.
Hmmm... a geometric sequence MUST have a fixed common ratio. If it is changing, then the sequence you are looking at might not be a geometric sequence at all. We'd need to see an example to be sure.
Answer:
0. $1,000 1. $1,045 2. $1,092.03 3. $1,141.17 4. $1,192.52. 5. $1,246.18 6. $1,302.26 7. $1,360.86 8. $1,422.10
Step-by-step explanation:
First you start with the beginning balance of $1,000 dollars, then you multiply that by 1.045 to get $1,045 dollars after one year. Then you multiply $1,045 by 1.045 to get $1,092.025 (monetarily correct, it would be $1,092.03) after the second year. Then you multiply $1,092.025 (keeping it un-rounded for precision) by 1.045 to get $1,141.16612 after the third year. Then you multiply $1141.16612 by 1.045 to get $1,192.5186 after the fourth year. Multiply $1,192.5186 by 1.045 to get $1,246.18193 after the fifth year. Multiply $1,246.18193 by 1.045 to get $1,302.26012 after the sixth year. Multiply $1,302.26012 by 1.045 to get $1,360.86182 after the seventh year. Multiply $1,360.86182 by 1.045 to get $1,422.10061 after the eighth year. Basically, Michelle is going to be a trust fund baby by the time she's twenty and she won't have to worry about college if she works hard and does well in high school.
Probably 48 but i dont know
