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3 years ago

You have $380,000

Mathematics

1 answer:

lesantik [10]3 years ago

5 0

Answer:

If the capitalization method is continuous, the interest obtained will be $104986.99

Step-by-step explanation:

Cn = Co * (1 + i)^n

Co = 380,000

i = 0.05

n = 5

So:

Cn =380,000 * (1+.05/1)^(1*5)

Cn = 380,000 * (1+.05)^5

Cn = 380,000 * (105)^5

Cn = 380,000 * (1.2763)

Cn = 484,986.99

Cn - Co = interest acumulated:

484,986.99-380,000 = $104986.99

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Use technology or a z-score table to answer the question.

Alik [6]

Answer:

The second choice: Approximately $65.2\%$ of the pretzel bags here will contain between 225 and 245 pretzels.

Step-by-step explanation:

This explanation uses a z-score table where each $z$ entry has two decimal places.

Let $\mu$ represent the mean of a normal distribution of variable $X$ . Let $\sigma$ be the standard deviation of the distribution. The z-score for the observation $x$ would be:

$\displaystyle z = \frac{x - \mu}{\sigma}$ .

In this question,

$\mu = 240$ .
$\sigma = 9.3$ .

Calculate the z-score for $x_1 = 225$ and $x_2 = 245$ . Keep in mind that each entry in the z-score table here has two decimal places. Hence, round the results below so that each contains at least two decimal places.

$\begin{aligned} z_1 &= \frac{x_1 - \mu}{\sigma} \\ &= \frac{225 - 240}{9.3} \approx -1.61\end{aligned}$ .

$\begin{aligned} z_2 &= \frac{x_2 - \mu}{\sigma} \\ &= \frac{245 - 240}{9.3} \approx 0.54\end{aligned}$ .

The question is asking for the probability $P(225 \le X \le 245)$ (where $X$ is between two values.) In this case, that's the same as $P(-1.61 \le Z \le 0.54)$ .

Keep in mind that the probabilities on many z-table correspond to probability of $P(Z \le z)$ (where $Z$ is no greater than one value.) Therefore, apply the identity $P(z_1 \le Z \le z_2) = P(Z \le z_2) - P(Z \le z_1)$ to rewrite $P(-1.61 \le Z \le 0.54)$ as the difference between two probabilities:

$P(-1.61 \le Z \le 0.54) = P(Z \le 0.54) - P(Z \le -1.61)$ .

Look up the z-table for $P(Z \le 0.54)$ and $P(Z \le -1.61)$ :

$P(Z \le 0.54)\approx 0.70540$ .
$P(Z \le -1.61) \approx 0.05370$ .

$\begin{aligned}& P(225 \le X \le 245) \\ &= P\left(\frac{225 - 240}{9.3} \le Z \le \frac{245 - 240}{9.3}\right)\\&\approx P(-1.61 \le Z \le 0.54) \\ &= P(Z \le 0.54) - P(Z \le -1.61)\\ &\approx 0.70540 - 0.05370 \\& \approx 0.65.2 \\ &= 65.2\% \end{aligned}$ .

3 0

4 years ago

Can someone help me!!! been stuck on this for a while!!

Natali5045456 [20]

Answer:

<em>Volume: Option A - Around 85.33 (in^3)</em>

Step-by-step explanation:

Let us take a look at the problem. Here we are given the circumference of the bowling ball, provided it is in the shape of a sphere.

Our first step can be to note the formula of circumference, applicable to both a sphere and a circle:

C = 2 * π * r - Where r = radius

Now let us substitute the known value of the circumference as to solve for r, or the radius:

(8π) = 2πr

r = 8π/2π

r = 4

Now take a look at the spherical formula for volume of a sphere:

V = 4/3 * π * r^3 - Where r is yet again the radius

Let us substitute the known value of the radius as to solve for the volume, or in other words to solve for the answer:

V = 4/3 * π * (4)^3

V = 4/3 * π * 64

V = 256/3 * π

V = (Around) 85.33π (in)^3

*Don't forget the units

6 0

4 years ago

What’s the multiplier for $2 and 3%

miss Akunina [59]

To find 3% of $2 you would first see what 10% is. therefore the mutiplier here would be .3

8 0

3 years ago

Read 2 more answers

HELPPPP PLEASE!!!!!!

worty [1.4K]

Answer:

Step-by-step explanation:

line RPN = 180 = 4y - 10 + 90 + y

180 - 90 + 10= 5y

100 = 5y

y = 100/5

y = 20

7 0

3 years ago

Translate and solve: 579% of what number is 11,580?

ra1l [238]

Answer is 2000

11,580 / 579% (5.79) = 2000

Just to make sure

2000 x 579% (5.79) = 11,580

7 0

3 years ago

Read 2 more answers