1.) how much will $5000 be worth in 5 years if it is compounded continuously at 3% interest.

2.) Becky invest $2500 at an annual interest rate of 9%. How much is the investment worth after 10 years if the interest is compounded continuously.

3.) suppose $2000 is invested at 5.75% annual interest compounded continuously for 21 months. How much will the investment be worth at the end of 21 months.


Will mark as Brainlessly or whatever it’s called (if you take my points I will report) thank you so much:)

Answer:

7

Step-by-step explanation:

7²÷3²-2 = 49/9-2 =49/7 =7

Answer:

Perimeter= a1+a2+a3

P= 20+ 15+ 25= 60 units

Answer:

99717

Step-by-step explanation:

Use PEMDAS

P stands for parenthesis so you do 7 x 7 first. It equals 49. E stands for exponents but there aren't no exponents. M stands for multiplying so you multiply 10 x 6 = 60. Then 60 x 49 = 2940. 8 x 6 = 48. 48 times 6 is 288. 288 x 6 is 1728. 1728 x 7 is 12096. 12096 x 8 is 96768. The A in PEMDAS is addition. 9+2940 equals 2949. 2949 + 96768  = 99717.

Answer:

The pic is below :)

Step-by-step explanation:

a) The data in ascending Order -83/4 < -67/4 < -62/4 < -1/4.

b) Sea Grass is the furthest below the Surface of water.

Numbers can be arranged in ascending order, from least value to highest value. The arrangement is left to right. Increasing order is another name for ascending order.

Given:

-20 3/4, -15 1/2, -14 3/4, -1/4

Now, Writing the above fraction into Normal fraction

-83/4, -31/2, -67/4, -1/4.

Now, Arranging the data in ascending Order

-83/4 < -67/4 < -62/4 < -1/4.

b) Sea Grass is the furthest below the Surface of water.

Learn more about Ascending Order here:

https://brainly.com/question/320500

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Answer:

(-3, 4)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I am pretty sure this is right and I hope this helps

Answer:

B. the absolute value of -15

Step-by-step explanation:

Ok so,

lets rewrite them for it to make sense

| 12 |  = 12

| - 15 | = 15

so now the question is "which is larger 12 or 15?" and the answer is 15 obvs lol

" | " = means absolute value

hope this helps have a good day!

Answer:

D) 4.9 units, 14.2 units

Step-by-step explanation:

I assume that we will be using trigonmetry as this is a right triangle

The two ratios that will be used are CAH (Cosine = adjacent/hypotneuse)

and SOH (Sine = opposite/hypotneuse)

While it does not matter which acute angle the problem is to, I decided to set up the triangle like so in the picture attached

This means x = adjacent and y = opposite here

Now we just need to plug in the numbers to find the missing variables

x) cos(19) = x/15

(15)cos(19) = x/15(15)

~14.2 = x

y) sin(19) = y/15

(15)sin(19) = y/15(15)

~4.9 = y

Hope that helps a bit

I took waaay too long to explain this lol

The value of x for the triangle is 14.2 and the value of y is 4.9. The correct option is D.

Trigonometry is the branch of mathematics that establishes a relationship between the sides and angles of a right-angle triangle.

The mathematical trigonometric functions, sometimes referred to as circle, angle, or goniometric functions, relate the angle of a right-angled triangle to the ratios of its two side lengths.

Calculate the value of x as below,

xcos(19) = x/15

(15)cos(19) = x/15(15)

14.2 = x

The value of y is calculated as,

ysin(19) = y/15

(15)sin(19) = y/15(15)

4.9 = y

To know more about trigonometry follow

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Answer:

6, -6

Step-by-step explanation:

The 2nd roots of 36 are 6 and -6 since

6^2 = 36

and

(-6)^2 = 36

Answer:

he has 5 ounces left in his bottle

Given:

The value of a house is 600,000 in 2005.

It increased by 25% in 2006 and 10% in 2007 but dropped by 15% in 2007.

To find:

The value of the house in 2008.

Solution:

We have,

Value of house in 2005 = 600,000

It increased by 25% in 2006.

Value of house in 2006 = [tex]600,000+\dfrac{25}{100}600,000[/tex]

                                        = [tex]600,000+150,000[/tex]

                                        = [tex]750,000[/tex]

It increased by 10% in 2007

Value of house in 2007 = [tex]750,000+\dfrac{10}{100}750,000[/tex]

                                        = [tex]750,000+75,000[/tex]

                                        = [tex]825,000[/tex]

But it dropped by 15% in 2007.

Value of house in 2008 = [tex]825,000-\dfrac{15}{100}825,000[/tex]

                                        = [tex]825,000-123,750[/tex]

                                        = [tex]701,250[/tex]

Therefore, the value of the house in 2008 is 701,250.

Answer:

$2,313,150,687,166.22 is the interest accrued.

Step-by-step explanation:

Hope this helps

Answer:

$2,313,150,687,166.22 is the interest

Step-by-step explanation:

hope this helps.

Step-by-step explanation:

to simplify this try making table and substitute the value of X and get y

Answer:

Choice 3 is not a function.

For a set of coordinates to be a function, there must be exactly one y-value for every x-value.

For choice 3, we see that the x-coordinate of "1" has two y-values, 3, and 7.

This means, that choice 3 is NOT a function.

Let me know if this helps!

Answer:

The number is [tex]\frac{23}{3}[/tex]

Step-by-step explanation:

I am going to call the number x.

A number that adds with 2/3 subtract will 1/3 will be 8.

As an equation, this is:

[tex]x + \frac{2}{3} - \frac{1}{3} = 8[/tex]

Now we solve the equation to find x. So

[tex]x + \frac{2-1}{3} = 8[/tex]

[tex]x + \frac{1}{3} = 8[/tex]

[tex]x = 8 - \frac{1}{3}[/tex]

[tex]x = \frac{24}{3} - \frac{1}{3}[/tex]

[tex]x = \frac{24-1}{3}[/tex]

[tex]x = \frac{23}{3}[/tex]

The number is [tex]\frac{23}{3}[/tex]

Answer:

3) Each cookie costs $2.75

Step-by-step explanation:

That statement is true based on the graph.

Answer:

K over two minus five

Step-by-step explanation:

I think?

Answer:

2

2

3x

Step-by-step explanation:

1.) we can divide both sides by three to get

(3x+6)/3=x+?

x+2= x+?

from here we can tell that ?=2

2.) Let's start by dividing both sides by negative one

(x-2)/ -1= ?-x

simplify

-x+2= ?-x

Here we get ?= 2

3.)

Let's mulitply both sides by 5 to get

15x-10= 5(?-2)

15x-10 = 5?-10

15x= 5?

3x= ?

the answer here is 3x

Answer:

Step-by-step explanation:

Answer:

2,700 units

Step-by-step explanation:

Answer:

30x+18y

Step-by-step explanation:

12x+18y+18x

combine like terms

30x+18y

Answer:

6 ( 5x + 3y ) did the calculations, just simplified

Answer:

1/14 i think

Step-by-step explanation:

Answer:

48

Example:

Just multiply them.

Answer:

If you multiply them all together it equals 48 degrees

Step-by-step explanation:

y = mx + b

y = -7x + 7

this assumes m = - 7 , it got chopped off, otherwise what ever slope is change the first 7 for that number.

Answer:

k=-19/6

Step-by-step explanation:

y=kx-5 (-6, 14)

14=k(-6)-5

14=-6k-5

-6k=14+5

-6k=19

k=19/-6

Answer:

15.8

Step-by-step explanation:

We are asked to find how many seconds it takes for an object to fall from a height of 4,000ft. We will use the given formula, t=h−−√4. Substituting h=4,000, we find

t=4000−−−−√4=15.8

So, the hammer reaches the river after 15.8 seconds.

Answer:

0.3085 = 30.85% probability that the mean years of experience from the sample of 4 is greater than 3.5 years.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Distribution of years of experience:

Mean 3, so [tex]\mu = 3[/tex]

Standard deviation 2, so [tex]\sigma = 2[/tex]

Sample of 4:

[tex]n = 4, s = \frac{2}{\sqrt{4}} = 1[/tex]

What is the probability that the mean years of experience from the sample of 4 is greater than 3.5?

1 subtracted by the pvalue of Z when X = 3.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{3.5 - 3}{1}[/tex]

[tex]Z = 0.5[/tex]

[tex]Z = 0.5[/tex] has a pvalue of 0.6915

1 - 0.6915 = 0.3085

0.3085 = 30.85% probability that the mean years of experience from the sample of 4 is greater than 3.5 years.

Answer:

We cannot calculate this probability because the sampling distribution n ot normal

Step-by-step explanation: Khan academy

Answer:

i answered the other question like this check your other question for the answerrs

Step-by-step explanation:

Answer:

First we need to find out how much is 1 inch in feet

80/5

=16

Now we just simply need to multiply

16x3/4

=12

Your answer is 12

Hope it Helps!!