Notice that
13 - 9 = 4
17 - 13 = 4
so it's likely that each pair of consecutive terms in the sum differ by 4. This means the last term, 149, is equal to 9 plus some multiple of 4 :
149 = 9 + 4k
140 = 4k
k = 140/4
k = 35
This tells you there are 35 + 1 = 36 terms in the sum (since the first term is 9 plus 0 times 4, and the last term is 9 plus 35 times 4). Among the given options, only the first choice contains the same amount of terms.
Put another way, we have
but if we make the sum start at k = 1, we need to replace every instance of k with k - 1, and accordingly adjust the upper limit in the sum.
Answer:
1) Amy and Kara are walking to the park to hangout for a while. On the way they pass a lake and a store.
2) Sara and Jake are heading to the movie theater for a romantic movie. On the way, they pass a duck pond.
In total you finished 1212+44 problems , which is 1256 problems
2424 -1256=1168 problems left
1168/2424=48%
48% of problems remain
Answer: $300 per month (assumed)
Step-by-step explanation:
As figures are lacking in this question, I will use assumed figures and you can use it as a reference.
Assume Penelope had been tutoring for 60 hours a month and her hourly rate was $10 originally.
If she reduces this time to half, the amount of hours she begins to tutor is:
= 60 hours / 2
= 30 hours
At a rate of $10 an hour, her monthly income becomes:
= 10 * 30
= $300 per month
