Answer:
The total interest to pay back on the loan is $122.40
Step-by-step explanation:
Here. we want to get the amount of interest on the loan
We are going to use the compound interest formula here
A = P(1 + r/n)^nt
where A is the amount to be paid back
P is the amount borrowed called the principal which is $1,500
r is the interest rate which is 4% annually
This is same as 4/100 = 0.04
n is the number of times the interest will be compounded per year ; annually means yearly and so for this case, n = 1
t is the number of years = 2
So we have;
A = 1500(1 + 0.04/1)^(2)(1)
A = 1500(1.04)^(2)
A =$ 1,622.40
So the amount of interest is the difference between the amount borrowed and the value to pay back
That will be;
$1,622.40 - $1,500
= $122.40
Answer:
She decreased her running time at a rate of 16.67%
Step-by-step explanation:
In this question, we are asked basically to calculate the percentage decrease in Abby’s running time.
Mathematically, the percentage decrease equals: (new running time - old running time)/old running time * 100%
We input the values and proceed as follows:
Percentage decrease = (10-12)/12 * 100
-2/12 * 100/1 = -1/6 * 100 = -16.67%
Since it’s a decrease, we just simply say that her running time decrease by 16.67%
y=5/3x
this is because f(x)=x is one of (identity function) the 12 basic functions and when you multiply it it will shift it on the y axis
If you were to do y=x+5/3 it would make a horizontal shift to the left 5/3
So the unit your on is mostly about knowing the number located in the function that will make the graph shift different ways
Answer:
I believe it would be the last table.
Step-by-step explanation:
A linear function has an equation of y=Mx+b where y and x are the variables but m (the slope) and b are constants. The slope for the last table is -8 as the y values are decreasing by 8 every time you move forward one in the x axis. None of the other tables have a constant slope which means they don’t have straight lines when you graph them. Therefore, the last table would have to be the only one representing a linear function
so you cross multiply 36*7 which is 252÷100= 2.52. Then add 2.52 to 36 and your answer is 38.52
