Answer:
249.15 million
Step-by-step explanation:
151(1.65)=249.15
To calculate the US population in 1990, we increase the 1950 population of 151 million by 65%, resulting in an estimated population of about 249.15 million.
To answer the question, we need to find out how much the United States population increased from 1950 to 1990. We know that the US population in 1950 was 151 million and that it increased by 65% by 1990.
First, we need to calculate the amount that represents the 65% increase from 151 million. We can do this by multiplying 151 million by 65/100. This will give us about 98.15 million.
Then, we add this increase to the initial population in 1950, which gives us the 1990 population. So, if we add 98.15 million to 151 million, we get a 1990 population estimate of approximately 249.15 million.
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Answer:
The approximate time that it will take Mary to save R40000 is 29 years
Step-by-step explanation:
A= p(1+r/n)^nt
t = log(A/P) / n[log(1 + r/n)]
A = R40000
n = 4
P = R400
r = 16%
t = log(A/P) / n[log(1 + r/n)]
= log(40,000 / 400) / 4{log(1+0.16/4)}
= log(100) / 4{log(1+0.04)}
= 2 / 4{log(1.04)}
= 2 / 4(0.0170)
= 2 / 0.068
= 29.41
t = 29.41 years
Approximately 29 years
The approximate time that it will take Mary to save R40000 is 29 years
Answer:
12
Step-by-step explanation:
72/6=12
48/4=12
A) -2
B) -1
C) 0
D) 2
Step 2: x = 56 – 8
Step 3: x = 48
Part B: How many solutions does this equation have? (4 points)
How many cycles will occur between t=2 and t=3.5 seconds?
The number of cycles that will occur between t = 2 and t = 3.5 seconds is 384.
Given, y = 8 sin(512πt)
where t = time in seconds.
The standard equation of a sine wave is:
y = A sin(2πfx + B) + C
where A exists the amplitude
f exists the frequency
B exists the phase shift
C is the vertical offset.
In this case:
2πf = 512π
f = 256
This means there are 256 cycles per second.
The number of cycles between t = 2 and t = 3.5 exists:
(3.5 − 2) × 256
= 384
Therefore, the number of cycles that will occur between t = 2 and t = 3.5 seconds is 384.
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Answer:
384
Step-by-step explanation:
Standard equation of a sine wave is:
y = A sin(2πf x + B) + C
where A is the amplitude, f is the frequency, B is the phase shift, and C is the vertical offset.
In this case:
2πf = 512π
f = 256
This means there are 256 cycles per second. The number of cycles between t = 2 and t = 3.5 is:
(3.5 − 2) × 256
384