Suppose $1000 is invested at 8%, compounded quarterly. How much is in the account at the end of 4 years?

Wes is pouring some ketchup for his potato wedges. Is it reasonable to say that Wes will use 2 fluid ounces?

Step2247 [10]

Yes, 2 ounces is reasonable

7 0

3 years ago

Drag each tile to the correct box. A group of marine biologists on a marine expedition recorded the elevations at which they fou

yarga [219]

Answer:

Garden eel, Great white shark, sea urchin, Sea turtle

Step-by-step explanation:

Given that:

Animal ____ altitude

Sea turtle __ - 502

Sea urchin __ - 452

Garden eel __ - 396

Great white shark __ - 430

Arranging in decreasing order of elevation :

-396 > - 430 > - 452 > - 502

Hence, the animals can be arranged in decreasing order of elevation thus :

Garden eel, Great white shark, sea urchin, Sea turtle

4 0

3 years ago

Read 2 more answers

Use the periodic compound interest formula to solve.

77julia77 [94]

Answer:

$15,539.67

Step-by-step explanation:

Compound Interest Formula

$\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}$

where:

A = final amount
P = principal amount
r = interest rate (in decimal form)
n = number of times interest applied per time period
t = number of time periods elapsed

Given:

P = $11,000
r = 5.8% = 0.058
n = 4 (quarterly)
t = 6 years

Substitute the given values into the formula and solve for A:

$\implies \sf A=11000\left(1+\frac{0.058}{4}\right)^{(4 \times 6)}$

$\implies \sf A=11000(1.0145)^{24}$

$\implies \sf A=15539.67451...$

Therefore, the value of the investment after 6 years will be $15,539.67 to the nearest cent.

3 0

2 years ago

For a binomial process, the probability of success is 40 percent and the number of trials is 5. Find the standard deviation.

Yakvenalex [24]

Answer:

$Sd(X) =\sqrt{1.2}=1.095$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=5, p=0.4)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

The mean for the binomial distribution is given by:

$E(X) =np=5*0.4=2$

And the variance is given by:

$Var(X) = np(1-p) =5*0.4*(1-0.4)=1.2$

And the deviation is just the square root of the variance so we got:

$Sd(X) =\sqrt{1.2}=1.095$

7 0

3 years ago

Solve the system of equations algebraically. Show all of your steps

Katyanochek1 [597]

I am going to explain this using the substitution method, considering it appears to be the best in this situation.

We know (from the bottom equation) that y can equal 3x+20. Using this knowledge, we substitute the y in the top equation for 3x+20. Now, we have an equation that looks like this:

3x+20=x^2+2x

Now we need to move x to one side and then do some radicals (square roots).
Subtract the 2x on the right (since it is smaller, negatives = NONONO), which will give you

x+20=x^2

Now, we take the square root of both sides to get

rad(x+20)=x

Now we have to simplify. 20 doesn't have a square root, but 4 goes into 20, and 4 has a square root of 2. This now becomes

2rad(x+5)

This doesn't simplify any further... we have a problem... no way to isolate x as far as my knowledge goes... Sorry, can't help you any further than that, but another person or your teacher might be able to. R.I.P...

4 0

3 years ago