Sam opened a savings account with an initial deposit of $2,000. since then, he has never made any other deposits or withdrawals. his savings account earns 0.4% interest monthly and an annual bonus of 1.5% interest. which equation gives the approximate amount, a(x), he has in his savings account as a function of x, the number of years since his initial deposit? a(x) ≈ 2,000 + (1.059)x3 a(x) ≈ 2,000(1.019)x2 a(x) ≈ 2,000(1.065)x a(x) ≈ 2,000(1.059)x2

Third option:

Step-by-step explanation:

Notice if we invest 2,000 then the first month then after the first 0.4% interest is earned we will have in the account:

2,000(1+0.004) = 2,000(1.004)

I just applied the simple interest formula.

Then after the second month we will have:

And so on each month.

So at the end of the first year (12 months) we have:

But we also earn an additional 1.5% in the year, so we will have:

At the end of the second year we will have:

At the end of the third year:

And so on,

So if the number of years is denoted with x, at the end of x years we will have the following amount in the savings:

We use our calculator to simplify that inside the brackets:

Rounding  to the third decimal place we get: 1.065

So notice the amount in the savings after x years will be:

Since they want it in function notation we just write the A(x) that denotes the amount in the savings:

You can use the Pythagoras theorem to find the height of the triangle given and then by the height and the base of the triangle, you can find its area.

The area of the triangle ABC is 6 square units.

A right angled triangle is a triangle having one of its angle with measure of 90 degrees.

The slant side of that triangle is called Hypotenuse and it is the longest side in that triangle.

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

Refer to the diagram attached below.

Since we have right angle at angle A, and we have

|AC| = 4 units, |BC| = 5 units, let |AB| = units, then

Area of a triangle is half of its base times height.

Since the line AC s perpendicular to AB, thus we can take base as AB and height as AC, then we have:

Thus,

The area of the triangle ABC is 6 square units.

Learn more about right angled triangles here:

link