Answer:
The correct answer is 218 math textbooks and 259 sociology textbooks.
Step-by-step explanation:
To solve this problem, we can make a system of equations. Let the number of sociology textbooks sold be represented by the variable "s" and the number of math textbooks sold be represented by the variable "m". Using these variables, we can make two equations:
s + m = 477
m + 41 = s
There are many ways to solve this system of equations. One approach we can take is substituting the value for s given by the second equation into the first equation. This is modeled below.
s + m = 477
(m + 41) + m = 477
Combining like terms on the left side of the equation yields:
2m + 41 = 477
Subtracting 41 from both sides of the equation gives us:
2m = 436
Finally, dividing both sides of the equation by 2 gives us:
m = 218
To solve for the number of sociology textbooks, we can substitute into either of our original equations.
m + 41 = s
(218) + 41 = s
s = 259
Therefore, your answer is m = 218 and s = 259, or 218 math textbooks and 259 sociology textbooks were sold.
Hope this helps!
Answer: The annual interest rate is 1.06%
Step-by-step explanation: This is a simple interest computation.
The formular for a simple interest is given as;
I = (P ×R × T)/100
Where I represents the interest paid,
P represents Principal borrowed at the beginning
R represents the rate at which the interest is calculated
T represents the Time measured in number of years
If the interest is calculated as I = (P×R×T)/100, we should first of all make R the subject of the formular;
Multiply both sides by 100
100I = P×R×T
Divide both sides of the equation by P and T
(100I)/(P × T) = R
Now we can insert the values into the rearranged formular
(100 × 143)/(4500 × 3) = R
14,300/13,500 = R
143/135 = R
1.0592592593 = R
Therefore, R which is the rate of interest equals approximately 1.06%
Given:
Principal : 5,000
Interest rate : 7% per annum
Term : 5 years
Simple interest is computed by multiplying the principal, the interest rate, and the term.
Simple Interest = Principal * interest rate * term
S.I. = 5,000 * 7% * 5years
S.I. = 350 * 5 years
S.I. = 1,750
An investment of 5,000 will earn a total of 1,750 within 5 years at 7% per annum.
