It will take 19 years and 6 months for the account value to reach 2900 dollars
Step-by-step explanation:
Given
Principal amount = 1400 dollars
Rate = 5.5 %
Final value = A = 2900
We have to find t
So,
The formula for simple interest is:

Putting values

Dividing both sides by 0.055

Rounding off to nearest tenth
19.5 years
Hence,
It will take 19 years and 6 months for the account value to reach 2900 dollars
Keywords: Interest, simple interest
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The graph reflecting the mathematical equation f(x) = 5*2^x is attached on this answer. Graph shows the exponential manner with the y-intercept is at y = 5. we can plot this graph by substituting points of x from a certain range (positive and negative) and get their corresponding y's
Answer: The number is 0.75 or 3/4
Step-by-step explanation:
let x = the number.
Now set up an equation: The product of a number (x) and -4 = -4x. So -4x is subtracted from the number - x. x-(-4x)
Then, that equals 3 more than the number (x) = x+3
So the equation is x-(-4x)=x+3.
Then, solve the equation!
x-(-4x)=x+3
x+4x=x+3 (Distribute the negative to the parentheses)
5x=x+3 (Combine like terms)
4x=3 (Get the Xs on one side by subtracting x from both sides)
x=0.75 or 3/4 (divide by the coefficiant, 4, on both sides)
Answer:
All real numbers greater than or equal to -3
Step-by-step explanation:
Notice for which values of the x-axis the function gives a well defined y-value (indicated by the trace of the curve in blue).
There is a solid dot at the point -3 for x and -2 for y, where the trace of the function begins. That means that the function is defined by f(-3) = -2.
and all x values to the right of -3 seem to also have a well defined y value f(x) that is represented by the blue curve.
Therefore, all x values starting at -3 (including it) and to the right (larger than -3) have well defined associated y values. Such constitutes the actual Domain of f(x).