Answer:
Step-by-step explanation:
Given
--- candles melted
--- time to melt
Required
The time since the first was lit
If 1 candle melts in 4 hours, 2 candles will melt in 8 hours.
i.e.
For the 3rd candle that has melted, 4 inches
First, calculate the fraction that melt
The time to melt is:
So, the required time is:
Convert to minutes
Answer:
y < 1/2x - 3
Step-by-step explanation:
You can write the inequality equation for the graph using the form y = mx + b. The inequality line has a y-intercept at (0,-3). This means b = -3. It also has a slope of 1/2 since the line moves up 1 and over 2 to the next point on the line.
This means the lines equation is y = 1/2x - 3. But since this is an inequality, you must use an inequality sign. Since the line is dashed it is not equal to. Your options are < and >. Use the point (0,0) to test which sign is appropriate.
y < 1/2x - 3 y > 1/2x - 3
0 < 1/2(0) - 3 0 > 1/2(0) - 3
0 < -3 0 > -3
The answer is y < 1/2x - 3 since (0,0) doesn't make it true and (0,0) is not shaded in the graph. This means it is not a solution.
Combine like terms: Then solve
(-5a3 + 6a3) + (-2a2 +9a2) + 8a =
Answer:
The rate of interest for compounded daily is 2.1 6
Step-by-step explanation:
Given as :
The principal investment = $ 98,000
The Time period for investment = 7 years
Let The rate of interest compounded daily = R %
The Amount at the end up = $ 114,000
<u>From compounded method</u>
Amount = Principal × 
Or, $ 114,000 = $ 98,000 × 
Or, 
= 
or, 1.16326 =
or, 
= 1 + 
1.00005919 - 1 =
or, 0.00005919 =
∴ R = 0.00005919 × 365000 = 2.16
Hence the rate of interest for compounded daily is 2.1 6 Answer
Answer:
9.3 inches
Step-by-step explanation:
The computation of the radius of the spinner be given below:
Let us assume the same be x
So
We know that
Total area of the sector = one-sixth of the total area of the spinner
Given that
45.1 = 1 ÷ 6 × π × r^2
r^2 = 45.1 × 6 ÷ π
r^2 = 86.1
r = 9.279
= 9.3 inches
