Answer:
A = 16010.32
Step-by-step explanation:
Given that,
Put P = 10,000, r = 0.08, k = 2 and n = 12 in the above formula to find A.
So, the value of A is 16010.32. Hence, the correct option is (B).
Answer:
Total Cost - 54c
Step-by-step explanation:
Given is 3 groups of elderly residents at the Bayside Residential Home. One of the home has 14 members, another one with 23 members and the third one with 17 members. Supposing that 'c' represent the cost of trip per resident.
Calculation,
Total of residence
14+23+17
= 54 residents
Hence, since there are 54 residents, total cost 54c.
<h2>
Answer:</h2><h2>
The frequency of the guitar string vibrates back and forth 88 times in 1 minute = 1.5 Hz</h2>
Step-by-step explanation:
A hertz is used to measure one cycle (complete wave) of a vibration.
The number of cycles per second is the frequency, measured in hertz.
A guitar string vibrates back and forth 88 times in 1 minute
The vibrations in 1 second = 
= 1.466 Hz ≈1.5 Hz
The frequency of the guitar string vibrates back and forth 88 times in 1 minute = 1.5 Hz
Simplifying
1.5d + 3.25 = 1 + 2.25d
Reorder the terms:
3.25 + 1.5d = 1 + 2.25d
Solving
3.25 + 1.5d = 1 + 2.25d
Solving for variable 'd'.
Move all terms containing d to the left, all other terms to the right.
Add '-2.25d' to each side of the equation.
3.25 + 1.5d + -2.25d = 1 + 2.25d + -2.25d
Combine like terms: 1.5d + -2.25d = -0.75d
3.25 + -0.75d = 1 + 2.25d + -2.25d
Combine like terms: 2.25d + -2.25d = 0.00
3.25 + -0.75d = 1 + 0.00
3.25 + -0.75d = 1
Add '-3.25' to each side of the equation.
3.25 + -3.25 + -0.75d = 1 + -3.25
Combine like terms: 3.25 + -3.25 = 0.00
0.00 + -0.75d = 1 + -3.25
-0.75d = 1 + -3.25
Combine like terms: 1 + -3.25 = -2.25
-0.75d = -2.25
Divide each side by '-0.75'.
d = 3
Simplifying
d = 3
Answer:
After 4 hours, two candles be at the same height.
Step-by-step explanation:
Let us assume after burning for m hours, both candles are same height.
Length of candle A = 12 inch
Burning rate = 0. 5 inches per hour
So, the candle burned in m hours = m x (0.5) = 0.5 m inches
The height of candle left after m hours = 12 - 0.5 m
Length of candle B = 18 inch
Burning rate = 2 inches per hour
So, the candle burned in m hours = m x (2) = 2m inches
The height of candle left after m hours = 18 - 2 m
According to question:
After m hours: Height of candle A = Height of candle B
or, 12 - 0.5 m = 18 - 2 m
⇒ 12 - 18 = -2m + 0.5 m
or. - 6 = -1.5 m
or, m = 6 / 1.5 = 4
or, m = 4
Hence, after 4 hours, two candles be at the same height.
