Answer:
13
Step-by-step explanation:
1) 4
2) 5
3) 6
4 )7
5) 8
6) 9
7) 10
8) 11
9) 12
10) 13
Answer:
Colton solved 9 math problems and read 18 pages.
Step-by-step explanation:
9*2=18
9 problems * 3 minutes per problem= 27 minutes
18 pages * 1.5 minutes per page= 27 minutes
27 + 27=54
The best way to solve is by trial and error and just testing out different numbers to see if they will work.
Answer:
Assume that there is a Latin quiz with 10 matching vocabulary questions, and your niece try to match them randomly. Then, the probability that she gets the first item right is
1
10
since there is only one correct answer for this item out of 10 options. Now, the probability that she gets the second item right is
1
9
since there is only one correct option and there is only 9 options left to choose from. So, in a similar fashion, the probability that she will get the third item correct is
1
8
, the fourth item correct is
1
7
and so on. Therefore, the probability that she will match them all correctly (getting a 100 on the quiz) is equal to
1
10
⋅
1
9
⋯
1
2
⋅
1
1
=
1
10
!
=
1
3628800
Answer:
a) P = 5000(1.014)^y
b) 5,908
Step-by-step explanation:
Here, we want to write an exponential growth model;
a)The model will be represented as;
P = 5000( 1.014)^y
where P is the population at a particular year after 2010
y is the number of years after 2010
b.) For 2022;
y = 2022-2010 = 12
P = 5000(1.014)^12
P = 5,908 approximately
Answer: -5100
<u>Step-by-step explanation:</u>
![\sum^4_1[100(-4)^{n-1}]\qquad \rightarrow \qquad a_1=100\ \text{and r = -4}\\\\\\S_n=\dfrac{a_1(1-r^n)}{1-r}\\\\\\\\S_4=\dfrac{100(1-(-4)^4)}{1-(-4)}\\\\\\.\quad=\dfrac{100(1-256)}{1+4}\\\\\\.\quad=\dfrac{100(-255)}{5}\\\\.\quad=20(-255)\\\\.\quad=-5100\\](https://tex.z-dn.net/?f=%5Csum%5E4_1%5B100%28-4%29%5E%7Bn-1%7D%5D%5Cqquad%20%5Crightarrow%20%5Cqquad%20a_1%3D100%5C%20%5Ctext%7Band%20r%20%3D%20-4%7D%5C%5C%5C%5C%5C%5CS_n%3D%5Cdfrac%7Ba_1%281-r%5En%29%7D%7B1-r%7D%5C%5C%5C%5C%5C%5C%5C%5CS_4%3D%5Cdfrac%7B100%281-%28-4%29%5E4%29%7D%7B1-%28-4%29%7D%5C%5C%5C%5C%5C%5C.%5Cquad%3D%5Cdfrac%7B100%281-256%29%7D%7B1%2B4%7D%5C%5C%5C%5C%5C%5C.%5Cquad%3D%5Cdfrac%7B100%28-255%29%7D%7B5%7D%5C%5C%5C%5C.%5Cquad%3D20%28-255%29%5C%5C%5C%5C.%5Cquad%3D-5100%5C%5C)
