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The student has to pay back $1240
Further explanation:
Simple interest is calculated on the principal amount. It can be applied only one or over a period of time. For example, if the interest is to be applied annually then it will be calculated each year on the starting principal amount.
Given
Amount = Principal amount = P_0 = $1000
Interest rate = r = 8%
time = t = 3 years
The formula for calculating interest is:
![I=P_0rt\\= 1000*0.08*3\\=240](https://tex.z-dn.net/?f=I%3DP_0rt%5C%5C%3D%201000%2A0.08%2A3%5C%5C%3D240)
The interest for three years will be $240.
The amount to be paid back by the student is:
![A=P_0+I\\=1000+240\\=1240](https://tex.z-dn.net/?f=A%3DP_0%2BI%5C%5C%3D1000%2B240%5C%5C%3D1240)
The student has to pay back $1240
Keywords: Simple interest, yearly interest
Learn more about simple interest at:
#LearnwithBrainly
Answer:
Step-by-step explanation: Because the equal sign means that each side of the equation represents the same number. If you do the same thing to the same number, it will come out the same. For example, if A = 5 and B = 5, then A + 1 = 6 and B + 1 = 6, that makes A + 1 = B + 1.
Answer:
By graphing the line, we have the equation y = ![\frac{3}{4} x -4.5](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%20x%20%20-4.5)
Step-by-step explanation:
What this question is asking us is to find the equation of the line with the value of the slope given in the question and also passing through the point in the question
For a straight line, the general equation can be represented as
y = mx + c
where m is the slope of the line and c is the y intercept. From the question, we have the value of the slope, what we have left to find is the value of the intercept. We find this by inserting the x, y and the slope value into the general equation of a straight line.
We have;
-3 = 3/4(2) + c
c = -3 - 6/4
c = -3-1.5 = -4.5
Thus, the equation of the line is;
y = ![\frac{3}{4} x -4.5](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%20x%20%20-4.5)
40
substitute t = 10 into the expression
4t² = 4 × 10² = 4 × 100 = 400
now divide by 10 →
= 40