You would end up with approximately $871.89 in your bank account after investing $650 for 60 months at an annual interest rate of 6%, if the bank compounds the interest yearly.
In this case, we are calculating the compound interest over a certain period. The formula for compound interest is:
P = C * (1 + r/n)^(nt)
Substitute the values into the formula:
P = $650 * (1 + 0.06/1)^(1*5)
Applying mathematics, we get an approximate final balance of $871.89
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a - b + c - d + e - f + g
a + b + c + d + e - f + g
a - b + c - d + e + f - g
Answer:
Step-by-step explanation:
We know that,
(-)(-) = (+),
(-)(+) = (-),
(+)(-) = (-)
(+)(+)=(+)
Now,
Here, the given expression is,
Hence, Second option is correct.
Answer: a = -3
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Work Shown:
The point (1, -3) is on the blue graph p(x) = a|x|
This means x = 1 and y = -3 pair up.
Use these two values to find 'a'
p(x) = a|x|
y = a|x|
-3 = a*|1|
-3 = a*1
-3 = a
a = -3
The negative 'a' value will apply the reflection over the x axis. The fact that |a| = 3 is larger than 1 indicates the graph is vertically stretched by a factor of 3.
No, 4z² - z² and 4 are not equivalent expressions as 4z² - z² simplifies to 3z², not 4.
No, 4z² - z² and 4 are not equivalent expressions. To determine if two expressions are equivalent, we need to simplify both sides of the equation. In this case, 4z² - z² simplifies to 3z², not 4. Therefore, 4z² - z² and 4 are not equivalent expressions.
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Answer:
The formula for the final velocity, bf in terms of initial velocity, v1, acceleration, a, and time is given as
Step-by-step explanation:
Given:
To Find:
bf = ?
Solution:
Acceleration:
Acceleration is defined as the ratio between the change in velocity of an object and the time it takes for the object to change the velocity.
In formula, this is written as:
Where,
'a' is the Acceleration.
'vf' is the final velocity.
'vi' is the initial velocity.
't' is the time it takes for the object to accelerate from vf to vi
Here it is given as
So,
Where,
'a' is the Acceleration
'bf' is the final velocity.
'v1' is the initial velocity.
't' is the time it takes for the object to accelerate from bf to v1.
On Solving the above equation 'bf' we get
....As required
In physics, the formula bf = a + v1 is used to calculate the final velocity in terms of the initial velocity, acceleration, and time. If acceleration is zero, final and initial velocities are equal, pointing to constant velocity. If acceleration is negative, the final velocity is less than the initial, indicating deceleration.
The equation a = bf - v1 is used to calculate acceleration, defined as the change in velocity over a period of time. To solve for the final velocity, bf, we simply need to rearrange the equation.
So, bf = a + v1. This equation tells us that the final velocity is equal to the sum of the initial velocity and the acceleration.
Other insights we can gather from this equation include: if acceleration is zero, the final and initial velocities are equal, pointing to constant velocity. This is because there's no change in speed. Conversely, if acceleration is negative, the final velocity is less than the initial, indicating a decrease in speed or deceleration.
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