All categories

4 years ago

The present value of $12,000 for six years compounded at 6% semiannually is:

1 answer:

8 0

<span>In 6 years, you will have $17,109.13 at 6% semiannually compounded.

</span><span>Plug the values into the following formula: A x [(1 + (R/2))^(N x 2)]. In the formula, "A" represents the initial investment amount, "R" represents the annual interest rate as a decimal and "N" represents the number of years you will own the investment. In this example, the formula would be $20,000 x [(1 + (0.06/2))^(5 x 2)].</span>

You might be interested in

If Rogério leaves the cash flow in the checking account for all needs that arise, he runs the risk of not having the money for t

SashulF [63]

There's no question provided, however, from a business-minded perspective, this is a very wise investment that he is making. This is because he has both short and long-term plans covered for himself in any case that certain situations would arise.

7 0

3 years ago

Read 2 more answers

What two ratios are equivalent to 5:9

guapka [62]

There is infinitely many ratios which are equivalent to 5:9. As we know always we can write divide as fraction, so $\frac{5}{9}$ . We can multiply nominator and denominator by the any number (but the same) and get another numbers but ratio will be the same, so equivalent.
For example
10:18,
15:27

7 0

3 years ago

Read 2 more answers

The question is below

Ad libitum [116K]

Answer:

£59.25

Step-by-step explanation:

Hello!

To solve this problem, we must:

Solve for the length of the fence (aka height)
Find the area of the lawn (trapezoid)
Find the number of cans needed
Find the price of all the cans

Area of a trapezoid, and why the formula works:

A trapezoid is a quadrilateral with one set of parallel sides known as bases. The other two sides are known as the legs.

To find the area of a trapezoid, we use the formula:

$\frac{B_1 + B_2}{2}* h$

This works because if we used the formula, we would be duplicating the trapezoid to form a rectangle with a side length of B1 + B2, and a height of h. Since the trapezoid is half of that, we divide by 2.

Solve for height:

The height is unknown but can be found using the Pythagorean Theorem.

The difference between the bases is the length of the bottom leg of the right triangle, and 17 is the hypotenuse.

Difference = 20 - 12 = 8

Hypotenuse = 17

8² + fence² = 17²
64 + fence² = 289
225 = fence²
fence = 15

The height is 15

Solve for area:

Now we can solve for the area.

$A = \frac{B_1 + B_2}{2} * h$
$A = \frac{12 + 20}{2} * 15$
$A = \frac{32}{2} * 15$
$A = 16 * 15 = 240$

The area is 240

Cans:

The area of the lawn is 240 square meters. Each can cover 100 square meters.

240 ÷ 100 = 2.4

Since we can't use part of a can, we round up to three whole cans.

The price of 3 cans :

3 * 19.75
59.25

£59.25

The Pythagorean Theorem:

The Pythagorean theorem is a very common geometry formula used to find the length of the hypotenuse in a right triangle, given the lengths of the two other bases.

The formula is : $a^2 + b^2 = c^2$