A=p(1+r)^t
13400=10000(1+r)^6
Solve to find the interest rate
r=((13,400÷10,000)^(1÷6)−1)×100
r=4.99%=5%
Answer: The answer is (B). 1.01257486...
Step-by-step explanation: We are given four real numbers out of which we are to select the one which is irrational.
Option (A) is 0.12, in which the digits after the decimal are terminating. So, the number is rational.
Option (B) is 1.01257486..., the digits after the decimal are non-terminating and non-recurring. So, the number is irrational.
Option (C) is 0.1212121212..., in which the digits after the decimal are non-terminating and recurring. So, the number is rational.
Option (D) is 0.11111111..., in which the digits after the decimal are non-terminating and repeating. So, the number is rational.
Thus, (B) is the correct option.
The equation of line with undefined slope and x - intercept -7 is x = -7
<em><u>Solution:</u></em>
Given that the slope of line is undefined and the x intercept is -7
To find: Equation of line
If a line has undefined slope, then it is a vertical line
A vertical line has undefined slope because all points on the line have the same x-coordinate
<em><u>The equation of a vertical line always takes the form:</u></em>
x = b
where, "b" is the x - intercept
Given x - intercept is -7
<em><u>Thus the equation of line is:</u></em>
Therefore, the equation of line is found
We will use order of operations to add and subtract from left to right to solve this equation.
26.8 + 0.65 = 27.45
The equation now looks like:
27.45 - 0.028 = 27.422
Therefore, your answer is 27.422.
Answer: x+y = 40
We have a = 1, b = 1, c = 40
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Explanation:
x = number of nickels
y = number of quarters
The equation 0.05x+0.25y = 5 represents adding the values from the nickels and quarters
0.05x = value of just the nickels
0.25y = value of just the quarters
0.05x+0.25y = total value = 5 dollars
That's how that first equation was formed.
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Based on those x and y definitions above, we know that x+y = 40 because there are 40 coins of either nickels or quarters only. So the sum of the two coin counts must be 40 overall.
The equation x+y = 40 is the same as 1x+1y = 40. This equation is in the form ax+by = c where,
a = 1
b = 1
c = 40
