Every triangle has an angle measure of 180 degrees.
so 42+20+x (where x is the measure of the third angle)=180
Combine like terms.
62+x=180
Subtract 62 from both sides
x=118.
The formula we use for continuous compounding is

where P is the initial amount invested, r is the rate as a decimal, and t is time in years. Our P = 1300, our r = .042, and our t = 5.75 (9 months is 3/4 of a year, and 3/4 in a decimal is .75). Putting all that into our formula we have

. We have to multiply those 2 powers together and then raise euler's number to it, then multiply by 1300. Doing all of that, we get the amount at the end to be $1,655.10
Answer:
Step-by-step explanation:
3p – 1 = 5(p – 1) – 2(7 – 2p) 3 -9 -10 First Distribute
3p-1= 5p-5-42+12p-9-10 Simplify all like factors
3p-1=17p-66 Add 66 on both sides
3p+65=17p Subtract 3p from both sides
65=15p Divide both sides by 15
p=4.3
if it is a 100
3p – 1 = 5(p – 1) – 2(7 – 2p) 3 -9 -100 First Distribute
3p-1= 5p-5-42+12p-9-100 Simplify all like factors
3p-1=17p-156 Add 156 on both sides
3p+155=17p Subtract 3p on both sides
155= 15p divide both sides by 15
10.3=p
43. A) I think its 2 pairs of shoe and one shoe is left because the guy either lost it, or just has an extra shoe. 43. B) If one of the pairs is missing a shoe then there is 4 shoes because there was already one shoe missing a pair but it's still there so if one pair is missing one completely like, it's not there then there's five. 44. 4xy²+3x-5. 45. I am not good at this. But I think: Sally has x beans she gave 8 to Marcus. How many does Sally have now? 46. Yes because whatever y is times one is still going to be y and according to pemdas its multiplication the addition so therefore it would me 1xy then it would be yx4 and it would still be the same answer.
Answer:
4.
- this shows that the height of 13 year old females in one class is less variable than the other class.
- this means that the height of students in class with range 6 may vary from person to person while that in class with range 3 maybe clustered around one another.
- we're expected to see students of almost same height in class ,with range 3, more than the students in class with range 6.
5.
arranging the values in ascending order
2, 2, 4, 4, 4, 5, 6, 6, 6, 8, 8, 9



median = 1/ 2 [ n/2th term +{ (n/2)+ 1 }th term ]
for n is even
= 1/ 2 [ 6th + 7th term]
= 1/ 2 [5 + 6]
= 5.5
mode = value with highest frequency or the value that appears most frequently In a given set of data.
mode =4, 6
because both 4and 6 appear 3 times in the given set of data which is the highest frequency.