Answer:
$6261.61
Step-by-step explanation:
The solution to the differential equation is the exponential function ...
A(t) = 5000e^(0.0225t)
We want the account value after 10 years:
A(10) = 5000e^(0.225) = 6261.61
The value of the account after 10 years will be $6,261.61.
_____
The rate of change equation basically tells you that interest is compounded continuously. After working interest problems for a while you know the formula for that is the exponential formula A = A0·e^(rt).
Or, you can solve the differential equation using separation of variables:
dA/A = 0.0225dt
ln(A) = 0.0225t +C . . . . integrate
A(t) = A0·e^(0.0225t) = 5000·e^(0.0225t) . . . . solution for A(0) = 5000
Answer:
bruuuuuuuuuh idek that HOOOOOOOOW wut is that?!?!
Step-by-step explanation:
Answer:
Question 1: Area=72 units
Question 2: D=275 units
Step-by-step explanation:
For question 1, you multiply the length, which is 6, by the width, which is 12 and you get 72 as your area. For question 2, you multiply 25 by 11 to get D.
The answer is: No, because we also need to know the type of proportionality
In mathematics, we talk about proportionality when two variables are related and this relationship is that there is a constant ratio between them. There are two types of proportionality.
1. Direct Proportionality:
If there are two variables x and y, we can write the relationship between them as follows:

So, by substituting the point in this equation we have that the constant of proportionality is:

2. Inverse Proportionality:
In this case, the relationship is:

So, the constant of proportionality is:

As you can see, we have found two different values of the constant of proportionality. So, it is necessary to know the type of proportionality.
Answer:
Yes, the given parallelogram is a rectangle.
Step-by-step explanation:
The vertices of parallelogram are J(-5,0), K(1,4), L(3,1) and M(-3,-3).
The slope formula is





The slopes of opposites sides are same it means they are parallel to each other.
The product of slopes of two consecutive sides is

Since the product of slopes of two consecutive sides is -1, therefore the consecutive sides are perpendicular to each other.
Yes, the given parallelogram is a rectangle.