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satela [25.4K]
3 years ago
15

Stan borrows $5,500 at a rate of 12% interest per year. What is the amount due at the end of 5 years if the interest is compound

ed continuously? In your final answer, include your calculations.
Mathematics
2 answers:
daser333 [38]3 years ago
6 0

Answer:

1.) Without compound interest, you would earn only $8800.00. This means that thanks to the power of compound interest you will earn an additional $1191.83 in interest at the end of the 5 year term.

2.) Using the compounded interest formula, you will earn $22883.01 after the 7 year term.

3.) Because of the negative interest, the compounded amount is only $695,929.30.

4.) Putting money in a saving account is saving money with a lower earning compared to investments. Investments have the higher potential of earning more than just having a basic savings account.

Step-by-step explanation:

aleksandr82 [10.1K]3 years ago
6 0

If you don't have compound interest, you would earn only $8800.00. This means that thanks to the power of compound interest you will earn an additional $1191.83 in interest at the end of the 5 year plan.

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Sarah would like to make a 6 lb nut mixture that is 60% peanuts and 40% almonds. She has several pounds of a mixture that is 80%
ivolga24 [154]

Answer:  

<em>a.  The system of equations that models the situation is....</em>

<em>     0.80x+0.50y=3.60\\\\ 0.20x+0.50y=2.40</em>

<em>b.  The solution to the system:  x = 2 and y = 4 </em>

<em>The amount of 80/20 mixture is 2 pounds and the amount of 50/50              mixture is 4 pounds.</em>

Step-by-step explanation:

Suppose, the amount of 80/20 mixture is  x pounds and the amount of 50/50 mixture is  y pounds.

So, the amount of peanuts in 80/20 mixture = 0.80x pound and the amount of almonds in 80/20 mixture =0.20x pound.

And the amount of peanuts in 50/50 mixture =0.50y pound and the amount of almonds in 50/50 mixture =0.50y pound.

Now, Sarah would like to make a 6 pounds nut mixture that is 60% peanuts and 40% almonds.

So, the amount of peanuts in that mixture =(6\times 0.60)=3.60 pounds

and the amount of almonds in that mixture =(6 \times 0.40)= 2.40 pounds.

So, the system of equations will be.........

0.80x+0.50y=3.60 ...................(1)\\\\ 0.20x+0.50y=2.40...................(2)

Subtracting equation (2) from equation (1), we will get.....

(0.80x+0.50y)-(0.20x+0.50y)=3.60-2.40\\ \\ 0.60x=1.20\\ \\ x= \frac{1.20}{0.60}=2

Now, plugging this x=2 into equation (1), we will get......

0.80(2)+0.50y=3.60\\ \\ 1.60+0.50y=3.60\\ \\ 0.50y=3.60-1.60=2\\ \\ y=\frac{2}{0.50}=4

So, the amount of 80/20 mixture is 2 pounds and the amount of 50/50 mixture is 4 pounds.

7 0
3 years ago
Volume of sun is 1.4×10^18 and volume of earth is 1.1×10^12 how many earth can fit in the sun
Advocard [28]
\frac{1.4\cdot10^{18}}{1.1\cdot10^{12}}=&#10;1.(27)\cdot10^6=1272727.(27)

1272727 \hbox{ Earths}

6 0
3 years ago
Henry and reiko both used 1 yard of ribbon to make bows. write two different fractions to show that Henry and reiko use the same
Natalka [10]
To show that they used the same amount of ribbon you could take the 1 yard and divided into different sized equal groups.

1 yard divided by four equals 1/4 yard for each of four ribbons.

1 yard divided by six equals 1/6 yard for each of six ribbons.

You could have ribbons the size of 1/4 our yard and 1/6 yard, but you would have different amounts of each.
4 0
3 years ago
Emma borrowed $312 from her sister. She determines that she can pay her back in thirteen months worth of allowance. What effect
gulaghasi [49]

Answer:

This repayment will ultimately reduce her monthly bank account balance

Step-by-step explanation:

This repayment will ultimately reduce her monthly bank account balance. That is because the steady monthly income that Emma would normally receive to her bank account will be taken out of her account and sent to her sister's account. This will continue to occur for 13 months until Emma pays back the $312 that she borrowed from her sister. Once the 13 months are over and her debt is paid, her monthly bank balance will return to normal and begin increasing as her income payments get deposited.

7 0
2 years ago
If a circle has a Diameter of 4m and a Radius of 4 units. Then what is Circumference and Area of the circle?
Fiesta28 [93]

Answer & Step-by-step explanation:

Circumference=d\pi \\Area=r^2\pi

The diameter of the circle is 8 m and the radius of the circle is 4 units. So, now we have to plug in the numbers so we can find the circumference and the area of the circle.

Circumference=(8)\pi

Circumference=25.12

So, the circumference of the circle is 25.12 m.

Area=(4)^2\pi

Area=16\pi

Area=50.24

So, the area of the circle is 50.24 units².

3 0
3 years ago
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