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We are asked to determine the present value of an annuity that is paid at the end of each period. Therefore, we need to use the formula for present value ordinary, which is:

$PV_{ord}=C(\frac{1-(1+i)^{-kn}}{\frac{i}{k}})$

Where:

$\begin{gathered} C=\text{ payments each period} \\ i=\text{ interest rate} \\ n=\text{ number of periods} \\ k=\text{ number of times the interest is compounded} \end{gathered}$

Since the interest is compounded semi-annually this means that it is compounded 2 times a year, therefore, k = 2. Now we need to convert the interest rate into decimal form. To do that we will divide the interest rate by 100:

$\frac{5.9}{100}=0.059$

Now we substitute the values:

$PV_{ord}=4000(\frac{1-(1+0.059)^{-2(3)}}{\frac{0.059}{2}})$

Now we solve the operations, we get:

$PV_{\text{ord}}=39462.50$

Therefore, the present value must be $39462.50

8 0

1 year ago

Ricardo throws a stone off a bridge into a river below how many seconds after being thrown will the stone reach its maximum heig

pychu [463]

Answer:

Step-by-step explanation:

the highest the stone will ever be is in your hand after you throw it the rock will automatically start falling more and more down towards the river which is below you.

Hopefully this helps!

8 0

3 years ago

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Help me plssss <br> its for a math test and im braindead atm

Gwar [14]

Answer:

5/8

Step-by-step explanation:

3/8 + 1/4

To add these fractions, you need a lowest common denominator. Both 4 and 8 "go into" 8, so the lowest common denominator is 8.

In order to change the denominator 4 to 8, you need to multiply both the numerator and the denominator by 2. So, 1/4 becomes 2/8.

Now, the problem is 3/8 + 2/8.

You can add the numerators, because the denominator is the same for each fraction.

3/8 + 2/8 = 5/8

5 0

3 years ago

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