Answer:
6
Step-by-step explanation:
200. Move decimal twice to the left. 1% of 200 is 2. 2*3 is 6.
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
Answer:
See below.
Step-by-step explanation:
Top prism:
To find the volume of the top prism, multiply the area of the base by the height. This is 1/2 times width times height times length.
V =1/2 l*w*h =1/2* 3*2.8*8 = 33.6
To find the surface area of a prism, find the area of the triangular base and the area of each rectangular side.
Area of the base is A = 1/2 * b*h = 1/2 * 3 * 8 = 12. Since there are 2 bases, the area is 24.
Area of the rectangular side is A = b*h = 2.8*5 = 14. Since there are two, the area is 2*14 = 42.
The surface area of the prism is 24 + 28 = 52.
Bottom prism:
To find the volume of the bottom prism, multiply the width times the height times the length.
V = l*w*h = 8*2.8*4.8 = 107.52
To find the surface area of the bottom prism, find the area of the base and each side of the house.
A = 8*2.8 = 22.4
A = 8*4.8 = 38.4 which occurs twice so it has a total area of 76.8
A = 2.8*4.8 = 13.44 which occurs twice so it has an area of 26.88.
The total volume is 33.6 + 107.52 = 141.12
The total surface area is 52 + 22.4 + 76.8 + 26.88 = 178.08
Answer:
y = -7
Step-by-step explanation:
The easisest way to find the slope of this line is to use slope-intercept form.
Slope-intercept form:
y = mx + b
Where m = slope and b = y -intercept
In this graph, the y-intercept is -7. However, the line doesn't have a slope since its a straight horizontal line.
So, the mx part of the equation isn't a part of this new equation.
So, your equation would just y = -7
Answer:
Oliver has 6 cupcakes
Step-by-step explanation:
Lily has 2 cupcakes
Multiply 2 by 3 because Oliver has 3 times Lily
2 times 3 equals 6