Select the equivalent expression

You began your hike at 30 feet below sea level. you are now at 200 feet. how far have you hiked

Tema [17]

30 + x = 200

x = 170 feet. You've hiked 170 feet below sea level.

6 0

3 years ago

An investment company pays 8% compounded semiannually. You want to have $12,000 in the future. (A) How much should you deposit

Leno4ka [110]

Before we start answering the question, let's define the compound interest formula:
$A = P(1+ \frac{r}{n}) ^{nt}$
Where:
'A' is the amount of money in dollars
'P' is the principal amount of money in dollars
'r' is the interest rate (decimal)
'n' is the number of times interest is compounded per year
't' is the time in years

(A) Find Principal Amount
Given:
A = 12,000
P = ?
r = 0.08
n = 2 (semiannually)
t = 5
Now we plug our values in and solve:
$12,000 = P(1+ \frac{0.08}{2}) ^{(2)(5)}$
$12,000 = P(1.04) ^{10}$
$P = 8106.77$
∴ You would have to deposit $8106.77 in order to have $12,000 in 5 years from now.

(B) Find Principal Amount
Same given values as above, with the exception of 't' which is now 10 instead of 5.
$12,000 = P(1+ \frac{0.08}{2}) ^{(2)(10)}$
$12,000 = P(1.04) ^{20}$
$P = 5476.64$
∴ You would have to deposit $5476.64 in order to have $12,000 in 10 years from now.

Hope this helps!

4 0

4 years ago

(1 point) For the function f graphed below, find the following limits:

dedylja [7]

The limits to the given function are as follows:

1. ∞

2. -∞

3. ∞

4. 1

5. -∞

<h3>What is a limit?</h3>

A limit is given by the value of function f(x) as x tends to a value.

For this problem, at x = 0, we have that to the left the function goes to positive infinity, while to the right it goes to negative infinity, hence:

1. lim f(x) = ∞

x->0-

2. lim f(x) = -∞

x->0+

At x = 2, the function goes to infinity to the left and to the right, hence:

3. lim f(x) = ∞

x->2

To the left of the graph, the function goes to negative infinity, while to the right it goes to 1, hence:

4. lim f(x) = 1

x-> ∞

5. lim f(x) = -∞

x-> -∞

More can be learned about limits of functions at brainly.com/question/26270080

#SPJ1

7 0

2 years ago

foot locker uses sales per square foot as a measure of store productivity last year the mean annual sales per square foot was 39

lord [1]

Answer:

There is a 82% probability that th esample mean annual sales per square foot is at least $384.

Step-by-step explanation:

We have a population with mean 390 and standard deviation 45.83.

Samples of size n=49 are taken.

The parameters of the sampling distribution are:

$\mu_s=\mu=390\\\\ \sigma_s=\dfrac{\sigma}{\sqrt{n}}=\dfrac{45.83}{\sqrt{49}}=\dfrac{45.83}{7}=6.547$

First, we have to calculate the z-score that satisfies:

$P(z>z^*)=0.82$

This z-score, looked up in a standard normal distribution table, is z=-0.915.

Then, we can calculate the sample mean as:

$M=\mu_s+z\cdot\sigma_s=390+(-0.915)\cdot 6.547=390-6=384$

There is a 82% probability that th esample mean annual sales per square foot is at least $384.

3 0

3 years ago

Geomtry question pls help !!!

adell [148]

Answer:

C, 4.

Step-by-step explanation:

Im not sure how to explain it, i just know that it's C! :))

8 0

3 years ago