Step-by-step explanation:
5x + 2 + 3x = 8x + 2
3 + 17x + 8 = 17x + 11
19 + 6x + 2x = 8x + 19
14x + 7 + 4 = 14x + 11
9x - 3 - 7x + 4 = 2x + 1
12x + 3x - 6 - 7f = 15x - 7f - 6
14x + 7 - 3x = 11x + 7
13z + 6u + 8x + 19 - u = 13z + 5u + 8x + 19
3z + 6 + 4z + 9 + 8u = 7z + 8u + 15
2x + 8z + 13u + 6z + 4u = 2x + 14z + 17u
14y + 13x + 12y + 19x + 4 = 26y + 32x + 4
5x + 18 - 13y + 12x + 8y = 17x - 5y + 18
21v + 8 - 12v - 7 + 3t - t = 9v + 2t + 1
3t + v - t + 7v = 2t + 8v
-1 + 18x -3y + x + 9y = 19x + 6y - 1
4x + 5y + 5x + 10y = 9x + 15y
Volume= Length * width ( aka Base ) * height
Break up the figure into easier figures, a small square and a bigger square.
Small square- 3*2*1 = 6 cm
Large Square- 7*6*1 = 42 cm
42 + 6 = 48 cm. But wait! You have to take one more step, which is minus-ing 6 from 48. Why? Notice that there is a little area where a side of the small square meets the bigger square. That little area is worth 3 cm ( length is 3, height is 1 cm ) times 2 ( 3 cm is one side, another 3 cm is the other side from the other square ) = 6 cm.
Your total answer should be 42. ( or 48, if your teacher doesn't count the area where the squares meet/join together ).
A.number of donuts delivered 2 hours from now.
2. Next=now +60+60
starting at 48 because 2 hours meant 2*60 = 60+60
B. number of donuts delivered 7 hours from now C
3.Next= now +420
starting at 48 because 7 hours meant 7*60 = 420 mn
C.number of donuts delivered n hours from now.
4. Next=now+60n
starting at 48 (this is obvious)
so finally,
D. number of donuts delivered 6 hours from now.
1. Next= now+ 6*60
starting at 48
Answer:
- a) P(x) = 32000*1.04^x
- b) $37435
- c) During year 7
Step-by-step explanation:
<u>Given</u>
- Initial pay = $32000
- Increase rate = 4%
a. <u>Formula</u>
b. Year 5 is after 4 years, so we are looking for the value of P(4)
- P(4) = $32000*1.04^4 = $37435
c. <u>P(x) = 40000, x = ?</u>
- 40000 = 32000*1.04^x
- 1.04^x = 40000/32000
- 1.04^x = 1.25
- log 1.04^x = log 1.25
- x = log 1.25 / log 1.04
- x = 5.69, this is 6 years after
The required number of the years is 6 + 1 = 7
