Answer:
$3800
Step-by-step explanation:
When simple interest is added to the principal amount, the sum increases linearly with time. Essentially, you are asked for the y-intercept of a line that goes through the points (2, 6200) and (3, 7400). You can use the 2-point form of the equation of a line to find it:
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (7400 -6200)/(3 -2)(x -2) +6200 . . . . fill in given points
y = 1200(x -2) +6200 . . . . . . . . . simplify some
y = 1200x -2400 +6200 . . . . . . simplify more
y = 1200x +3800 . . . . . . . . . . . . . completely simplify
When the number of years (x) is zero, the amount is 3800. The principal is $3800.
_____
The account is earning $1200 per year on a principal of $3800. The interest rate is about 31.6%, an unusually high value.
_____
<em>Alternate solution</em>
You can recognize that the interest earned in one year is 7400 -6200 = 1200. Since this is simple interest, the amount of interest earned each year is the same, so in 3 years, the account has earned 3×$1200 = $3600 in interest. Then the original principal amount must be ...
$7400 -3600 = $3800 . . . . . principal amount
Answer:
12 x 12+144
Step-by-step explanation:
When you divide a variable with an exponent by a variable with an exponent, you subtract the exponents (only if the bases/variables are the same)
For example:
Since they have different variables (x and y), you can't simplify this anymore
( if the exponent happens to come out negative, you have to move the variable and the exponent to the other side of the fraction to make the exponent positive)
Ex:
SInce they all have a common factor of 4, you can divide out -4
If you follow the steps from ^^^^^^^, you should get
Answer:
The farmers daughter watch the lazy cows because the farmers daughter liked to see the meat loaf.
