In one month she completed 5 paintings, so in 6 month she completed 6 * 5 = 30 paintings.
38 - 30 = 8 - that's how many paintings she's still about to complete.
If she can do 5 paintings in one month, she'll do 8 paintings in 1 3/5 months. If we assume that month has 30 days, she'll probalby need one month and 18 days to do it (because 3/5 from 30 is 18).
Part A:
x - total number of liters ( milk + water )
0.2 x + 1 = x
Part B :
0.2 x + 1 = x
0.8 x = 1
x = 1 : 0.8 = 1.25 lit.
Milk:
1.25 x 0.2 = 0.25 lit.
Generic exponential growth model: y = Ao[1+r]^t
In this case: r = 3.5% = 0.035
y = 2Ao .....[the double of the initial value]
Then: 2Ao =Ao (1 + 0.035)^t
(1.035)^t =2
Take logarithm to both sides
t ln(1.035) = ln(2)
t = ln(2) / ln(1.035) = 0.693 / 0.0344 = 20.15
Answer: 20.15 hours.
Answer:
The ratio of the area of the larger circle to the area of the smaller circle will be: 4/1 or 4:1
Step-by-step explanation:
The diameter of a larger circle = d = 40 cm
r = d/2 = 40/2 = 20 cm
The area of the larger circle = πr²
= 3.14 (20)²
= 3.14 × 400
= 1256 cm²
The diameter of a smaller circle = 20 cm
r = d/2 = 20/2 = 10 cm
The area of the smaller circle = πr²
= 3.14 (10)²
= 3.14 × 100
= 314 cm²
Thus,
The area of the larger circle = 1256 cm²
The area of the smaller circle = 314 cm²
Therefore,
The ratio of the area of the larger circle to the area of the smaller circle will be computed as:
reducing the ration into a simpler form
Thus, the ratio of the area of the larger circle to the area of the smaller circle will be: 4/1 or 4:1