Answer:
The equivalent expression would be;
S(t) = 86,400•3^t
Step-by-step explanation:
Here, we want to make a transformation
From what we have;
S(t) = 9,600(3)^(t + 2)
From indices, we know that;
x^(a + b) = x^a•x^b
Thus, we have it that;
S(t) = 9600•3^t•3^2
S(t) = (9 * 9600) * 3^t
S(t) = 86,400•3^t
Answer:
25000m/s
Step-by-step explanation:
The following formula is used to calculate the speed or velocity of a wave.
V = f * w
Where V is the velocity (m/s)
f is the frequency (hz)
w is the wavelength (m)
First, determine the frequency.
Calculate the frequency of the wave.
Next, determine the wavelength.
Calculate the wavelength of the wave.
Finally, calculate the wave speed.
Using the formula above, calculate the wave speed.
Step-by-step explanation:
28. a=422000 (1+12%)^8
=1044856.46
29 a=13000 (1+15%)^-5
=6463.29
30 a=1250 (1+8%)^11
=2914.548
using compound interest formula
H=-9/2
Divide both sides of the equation by -36
Any expression divided by itself equals 1
Answer:
h = 9
Step-by-step explanation:
Solve for h:
5 h - 2 ((3 h)/2 + 4) = 10
Put each term in (3 h)/2 + 4 over the common denominator 2: (3 h)/2 + 4 = (3 h)/2 + 8/2:
5 h - 2(3 h)/2 + 8/2 = 10
(3 h)/2 + 8/2 = (3 h + 8)/2:
5 h - 2(3 h + 8)/2 = 10
(-2)/2 = (2 (-1))/2 = -1:
5 h + -1 (3 h + 8) = 10
-(3 h + 8) = -3 h - 8:
5 h + -3 h - 8 = 10
Grouping like terms, 5 h - 3 h - 8 = (5 h - 3 h) - 8:
(5 h - 3 h) - 8 = 10
5 h - 3 h = 2 h:
2 h - 8 = 10
Add 8 to both sides:
2 h + (8 - 8) = 8 + 10
8 - 8 = 0:
2 h = 10 + 8
10 + 8 = 18:
2 h = 18
Divide both sides of 2 h = 18 by 2:
(2 h)/2 = 18/2
2/2 = 1:
h = 18/2
The gcd of 18 and 2 is 2, so 18/2 = (2×9)/(2×1) = 2/2×9 = 9:
Answer: h = 9
