Answer:
B. $3525.43
Step-by-step explanation:
We will use continuously compound interest formula to solve our problem.
A= Amount after T years.
P= Principal amount.
r= Interest rate (in decimal form).
e= The mathematical constant e.
T= Time in years.
First of all we will convert our interest rate in decimal form.
Now let us substitute our given values in above formula.
Therefore, we will get an amount of $3525.43 after 10 years and option B is the correct choice.
Answer:
Step-by-step explanation:
The given triangle is a right angle triangle.
The distance between the first bed and the bird watcher on the ground represents the opposite side of the right angle triangle.
The distance between the birdwatcher and the second bird is 47 feet. This represents the hypotenuse of the right angle triangle. To determine the angle of depression, x degrees, we would apply the Sine trigonometric ratio which is expressed as
Sin θ = opposite side/hypotenuse
Sin x = 34/47 = 0.723
x = Sin^-1(0.723)
x = 46.3 degrees to the nearest tenth.
The amount of water that is needed to fill the pool is equal to the volume of the pool.
The pool is rectangular, with uniform depth so the volume of pool will be the product of its length , width and depth.
Thus,
Volume = 25 x 18 x 6 = 2700 ft³
This means, 2700 ft³ water is needed to fill the pool.
Answer:
£4867.2
Step-by-step explanation:
Given data
P= £4500
T=2 years
R= 4%
The compound interest expression
A=P(1+r)^t
substitute
A= 4500(1+0.04)^2
A=4500(1.04)^2
A=4500*1.0816
A=£4867.2
Hence the balance is £4867.2
In order to easily discern which graph is a proper representation of 6x + 4y = 8, you first need to convert the equation to y = mx+ b, also known as slope-intercept form. Here's how you can do this:
6x + 4y = 8
4y = -6x + 8
y = -1.5x + 2
The +2 tells you that your line will intercept the vertical y-axis at (0, 2). This narrows it down to graphs a and d. Then, because you have a NEGATIVE number in front of your x (it's -1.5), you can tell that your graph will be going down as it moves from left to right. This leaves you with graph d as your answer!
