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miss Akunina [59]
3 years ago
13

Marcus receives an inheritance of $12,000. He decides to invest this money in a 13-year certificate of deposit (CD) that pays 4.

0% interest compounded monthly. How much money will Marcus receive when he redeems the CD at the end of the 13 years?
Marcus will receive $__?
Mathematics
1 answer:
Nady [450]3 years ago
3 0
Hello! The formula for finding compound interest is A = P(1 + r/n)^nt. That means divide the rate by the amount of times compounded per year, add 1 into that, with the exponent, combine how many times it would be compounded overall and then put the percentage up into a power and multiply by the principal. In other words. r = rate, n = number of times compounded each year, t = time, and P = principal. Principal is the initial amount in the account. It's a bit confusing, but let's do this step by step. If you know the solve this by step, it will help you later on.

How to solve this problem:

First off, to solve this and for compound interest problems in general, you will need a calculator. Okay, so the interest is compounded monthly at 4%, which means it will be compounded 12 times per year. Let's do the parenthesis first. do 4% (0.04) divided by 12 to get 0.003333333. You should have a number like this shown on calculator. Now, add 1 to it to get 1.003333333. Leave that number on your calculator. Now, with a scrap sheet of paper or a separate calculator, let's solve to see what number our exponent is. We use the values of n and t. In this case, n = 12, and t = 13. Multiply both numbers together to get our exponent. 12 * 13 is 156. So you will multiply 1.003333333 to the 156th power. Now, on your calculator with the long decimal, raise it up to the 156th power. When you do that, you should get a decimal with the digits 1.680573752. Leave that decimal on your calculator. Now, multiply that by the principal (12,000). When you do, you get 20,166.88502 or 20,166.89 when rounded to the nearest hundredth. At the end of 13 years, Marcus will receive $20,166.89.
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What is a number decreased by 4 is more than -1 . you have to write an inequality .
rosijanka [135]
You would just need to make an inequality from the description. You would make "x" the number. The answer would be "x-4>-1"
3 0
3 years ago
Alyssa says that n = 6 is the solution of the equation 12n = 84. How can you check whether she is correct?
Vikki [24]

Answer:

No. The answer is 72

Step-by-step explanation:

As 12x6=72

4 0
2 years ago
<img src="https://tex.z-dn.net/?f=f%28x%29%3D16t%5E2%2B32t" id="TexFormula1" title="f(x)=16t^2+32t" alt="f(x)=16t^2+32t" align="
Nataly_w [17]

Answer:

- time = 1second

- maximum height = 16m

Step-by-step explanation:

Given the height of a pumpkin t seconds after it is launched from a catapult modelled by the equation

f(t)=-16t²+32t... (1)

The pumpkin reaches its maximum height when the velocity is zero.

Velocity = {d(f(x)}/dt = -32t+32

Since v = 0m/s (at maximum height)

-32t+32 = 0

-32t = -32

t = -32/-32

t = 1sec

The pumpkin reaches its maximum height after 1second.

Maximum height of the pumpkin is gotten by substituting t = 1sec into equation (1)

f(1) = -16(1)²+32(1)

f(1) = -16+32

f(1) = 16m

The maximum height of the pumpkin is 16m

6 0
3 years ago
The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.917 g and a standard deviation
Nutka1998 [239]

Answer:

z = \frac{0.872-0.917}{\frac{0.303}{\sqrt{37}}}= -0.903

And we can find this probability to find the answer:

P(z

And using the normal standar table or excel we got:

P(z

Step-by-step explanation:

Let X the random variable that represent the amounts of nocatine of a population, and for this case we know the distribution for X is given by:

X \sim N(0.917,0.303)  

Where \mu=0.917 and \sigma=0.303

We have the following info from a sample of n =37:

\bar X= 0.872 the sample mean

And we want to find the following probability:

P(\bar X \leq 0.872)

And we can use the z score formula given by;

z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

And if we find the z score for the value of 0.872 we got:

z = \frac{0.872-0.917}{\frac{0.303}{\sqrt{37}}}= -0.903

And we can find this probability to find the answer:

P(z

And using the normal standar table or excel we got:

P(z

6 0
3 years ago
I walked forward 5m, back 3m, then forward 7m what is my displacement
vladimir2022 [97]

Answer:

9m

Step-by-step explanation:

5 - 3 + 7 = 9

5 0
3 years ago
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