I am always hungry and will die if not fed, but whatever I touch will soon turn red. What am I?

Tom deposited $2410 in a bank that pays 12% interest, compounded monthly. Find the amount he will have at the end of 3 years.

OLEGan [10]

Answer:

Base amount: $2,410.00

Interest Rate: 12% (yearly)

Effective Annual Rate: 12.68%

Calculation period: 3 years

$3,448.15

Step-by-step explanation:

The generic formula used in this compound interest calculator is

V = P(1+r/n)^(nt)

V = the future value of the investment

P = the principal investment amount

r = the annual interest rate

n = the number of times that interest is compounded per year

t = the number of years the money is invested for

4 0

3 years ago

In Quebec, 90 percent of the population subscribes to the Roman Catholic religion. In a random sample of eight Quebecois, find t

AysviL [449]

Answer:

Probability that the sample contains at least five Roman Catholics = 0.995 .

Step-by-step explanation:

We are given that In Quebec, 90 percent of the population subscribes to the Roman Catholic religion.

The Binomial distribution probability is given by;

P(X = r) = $\binom{n}{r}p^{r}(1-p)^{n-r}$ for x = 0,1,2,3,.......

Here, n = number of trials which is 8 in our case

r = no. of success which is at least 5 in our case

p = probability of success which is probability of Roman Catholic of

0.90 in our case

So, P(X >= 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8)

= $\binom{8}{5}0.9^{5}(1-0.9)^{8-5} + \binom{8}{6}0.9^{6}(1-0.9)^{8-6} + \binom{8}{7}0.9^{7}(1-0.9)^{8-7} + \binom{8}{8}0.9^{8}(1-0.9)^{8-8}$

= 56 * $0.9^{5} * (0.1)^{3}$ + 28 * $0.9^{6} * (0.1)^{2}$ + 8 * $0.9^{7} * (0.1)^{1}$ + 1 * $0.9^{8}$

= 0.995

Therefore, probability that the sample contains at least five Roman Catholics is 0.995.

3 0

3 years ago

Please help QUICKLY!! Thanks you!!<br><br><br> Find X

Ann [662]

Hello!

∠GCE = 14° (corresponding angles)
∠GEC = 180° - 78° - 14° (sum of angles in a triangle)
∠GEC = 88°
4x + 88° = 180°
4x = 180° - 88°
4x = 92°
x = 23°

7 0

3 years ago

Space Shuttle Marion is observing the launch of a space

Vera_Pavlovna [14]

Using the slope concept, it is found that the shuttle traveled 3.2 miles while Marion was watching.

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

The slope is given by the <u>vertical change divided by the horizontal change</u>, and it's also the tangent of the angle of depression.

Initially, the angle of elevation is of 16º, with an elevation of 1 mi, hence:

$\tan{16^\circ} = \frac{1}{x_1}$

$x_1 = \frac{1}{\tan{16^\circ}}$

$x_1 = 3.5$

Then, at the end, the angle will be of 74º, with the elevation remaining constant, hence:

$\tan{74^\circ} = \frac{1}{x_2}$

$x_2 = \frac{1}{\tan{74^\circ}}$

$x_2 = 0.3$

The distance is:

$d = x_1 - x_2 = 3.5 - 0.3 = 3.2$

The shuttle traveled 3.2 miles while Marion was watching.

More can be learned about the slope concept at brainly.com/question/18090623

3 0

2 years ago

Ping's Ice Cream Palace offers a special sundae that contains over 2 kilograms of ice cream plus any number of toppings. Write a

hjlf

Let "x" represent the weight of the toppings. We know that we can have any number of toppings. This means that one may ask for no toppings at all too.

Now, we have been told that "S" is the weight of the special sundae in kilograms. This definitely included the "mandatory" 2 kilograms of ice cream. Therefore, S will be at-least equal to 2.

Thus, the inequality that describes S, the weight of the special sundae in kilograms at Ping's Ice Cream Palace is given as:

$S\geq 2+x$ kilograms.

It can be seen that as x increases, S increases too and if an order does not want any toppings in it then the weight of the special sundae will be a minimum of 2 kg which is the weight of the ice cream.

7 0

3 years ago

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