This is an arithmetic sequence with first term (a) = 11, number of terms (n) = 57, sum of nth term (Sn) = 19,779.
Let the amount of money she saved more each month be d, then
Sn = n/2(2a + (n - 1)d)
19,779 = 57/2(2(11) + (57 - 1)d)
19,779 = 28.5(22 + 56d)
19,779 = 627 + 1,596d
19,779 - 627 = 1,596d
d = 19,152/1,596 = 12
Therefore, she saved $12.00 more each month.
-9(3d-2)=-29
-27d+18=-29
-27d=-29-18
-27d=-47
d=-47/-27
d=47/27
Answer:
5 centimetres = 1 kilometre
Step-by-step explanation:
First add up the distances measured on the map.
1.1+4.8+2.2+3.4=11.5 cm
Based on this, since the number of cm is greater than the number of km, we can figure out that each cm should not be multiplied to get the km, so we can eliminate the first two answers.
Next write an equation to represent finding the scale
x=scale
11.5=2.3x
Now solve for the scale
11.5/2.3=2.3x/2.3
5=x
Therefore the scale is 5 centimetres = 1 kilometre
Answer:
The type of sampling method Dr. Lawrence going to use is Quota Sampling.
Step-by-step explanation:
In quota sampling participants are chosen nonrandomly so it is not a representative sampling method. In this case Dr.Lawrence has a quota of 15% for first-time students and 85% for returning, so the survey she is conducting is non-random. The sampling method she should use is Quota Sampling.
When you are rounding to the nearest tenth, you only look at the number right to the tenths which in this case is 5, so you round up the 6 to a 7, which will be.
8.7
