1. 0.8
2. 3.87298
3. ?
4. ?
5. ?
6. 5
7. True
8. ?
9.
Since we're doing compound interest for four years it will be simpler than daily.
In case you didn't know the formula, here it is: A = P (1 +r/n)^(nt)
now lets substitute.
A = 500 (1 + 0.03)^4
A = 500 (1.03)^4
A = 500 (1.12550881)
A = 562.754405
Since that decimal is too big for cash, let's round it. Notice that the number after 5 is lower than 5. Thus the first two numbers stay the same and the final answer will be..
A = 562.75
Hope this helps :3
Answer:
- The cabinets have the same base area.
- The cabinets may have the same base dimensions.
- The cabinets may have different base dimensions.
Step-by-step explanation:
The volume of a prism is the product of its base area and height. It doesn't matter whether the prism is right or oblique, and the shape of the base is immaterial.
Both the given prisms have the same volume and height, so their base areas must be the same. The dimensions of the base may be the same, but do not have to be the same.
Answer:
306 laps
Step-by-step explanation:
If Laura walked 612 laps in 2 hours then if you divide 2 by 2 then it will give you 1, which is 1 hour. This means that if you divide 612 by 2, it should give you the answer of 306, the amount of laps in 1 hour. I hope this helps!
Step-by-step explanation:
OK. It's an arithmetic sequence:
![a_1=20,\ a_2=18.5,\ a_3=17,\ ...\\\\a_1=20,\ d=-1.5](https://tex.z-dn.net/?f=a_1%3D20%2C%5C%20a_2%3D18.5%2C%5C%20a_3%3D17%2C%5C%20...%5C%5C%5C%5Ca_1%3D20%2C%5C%20d%3D-1.5)
The explicit formula of an arithmetic sequence:
![a_n=a_1+(n-1)d](https://tex.z-dn.net/?f=a_n%3Da_1%2B%28n-1%29d)
Substitute:
![a_n=20+(n-1)(-1.5)=20-1.5n+1.5=21.5-1.5n](https://tex.z-dn.net/?f=a_n%3D20%2B%28n-1%29%28-1.5%29%3D20-1.5n%2B1.5%3D21.5-1.5n)
The sigma notation of the sum of the first ten terms:
![\sum\limits_{n=1}^{10}(21.5-1.5n)](https://tex.z-dn.net/?f=%5Csum%5Climits_%7Bn%3D1%7D%5E%7B10%7D%2821.5-1.5n%29)
What are your mistakes:
![\sum\limits_{n=20}^{6.5}\to\boxed{n=20},\ \boxed{6.5}](https://tex.z-dn.net/?f=%5Csum%5Climits_%7Bn%3D20%7D%5E%7B6.5%7D%5Cto%5Cboxed%7Bn%3D20%7D%2C%5C%20%5Cboxed%7B6.5%7D)
The first ten terms, not from 20th to 29th (you wrote 6.5?)
![\sum\limits_{n=1}^{10} - \text{the sum for n = 1 to n = 10}](https://tex.z-dn.net/?f=%5Csum%5Climits_%7Bn%3D1%7D%5E%7B10%7D%20-%20%5Ctext%7Bthe%20sum%20for%20n%20%3D%201%20to%20n%20%3D%2010%7D)