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Original: $29
Discount: 55%
Show your equation setup and solving process. Type
the answer with either a dollar sign in front or a
percent symbol at the end, depending on what you're
solving for.
Think about what percent you are paying!

I apologize, but as a text-based AI model, I am unable to provide handwritten answers or show work in form of formulas. To determine annual interest rate of 4.5%, we can use compound interest formula.

To determine how long it will take to double your money with an annual interest rate of 4.5%, we can use the compound interest formula:

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

Where:

A = Final amount (double the initial amount)

P = Principal (initial amount)

r = Annual interest rate (as a decimal)

n = Number of times interest is compounded per year

t = Time (in years)

In this case, we want to find the value of t. Let's assume the initial amount is P, and the final amount is 2P (double the initial amount). Substituting these values into the formula, we have:

2P = P(1 + 0.045/n)^(nt)

To solve for t, we can divide both sides of the equation by P and simplify:

2 = (1 + 0.045/n)^(nt)

Taking the natural logarithm (ln) of both sides of the equation:

ln(2) = nt ln(1 + 0.045/n)

Now, we can solve for t:

t = ln(2) / (n ln(1 + 0.045/n))

The value of n will depend on how frequently the interest is compounded (e.g., annually, semi-annually, quarterly, etc.). By substituting the appropriate value for n and evaluating the expression, you can determine the time it will take to double your money.                                              Note: If you provide the specific compounding period, I can assist you in calculating the exact time it takes to double your money.

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Answer:

3rd one thank you let me know if u got it rigbt

Answer:

The very first one is decay and the rest are growth

Step-by-step explanation:

Im SO sorry if i got it wrong

I REALLY hope this helped

Best of luck

Answer:

y=4x+5

Step-by-step explanation:

Liner graph, therefore, y=mx+b; b is the y intercept; m is the slope

b=5, another pair is (-1,1)

need to find m first

Substituting we get:

⇒1= m(-1) + 5

⇒1= -1m + 5

⇒1-5= -m

⇒-4 = -m

⇒m=4

Eq: y=4x+5

Range: lowest possible y-value to the highest possible y-value

In this case, the graph spans from -4 to 1, taking on all of the y-values between those two points. But, the graph also has a straight line at y=3.

Range: -4 < y <= 1 or {3}

Hope this helps!

Answer:

$8.96

Step-by-step explanation:

Sorry if its to late

If the base of the cliff is 1183 feet from the boat, the height of the cliff is approximately 550.5 feet.

Let's denote the height of the cliff as h feet.

Given that the angle of elevation to the top of the cliff is 25.24° and the base of the cliff is 1183 feet from the boat, we can use the tangent function:

tangent(angle) = opposite/adjacent

In this case, the opposite side is the height of the cliff (h), and the adjacent side is the distance from the boat to the base of the cliff (1183).

Using the tangent function, we have:

tangent(25.24°) = h/1183

Rearranging the equation to solve for h, we have:

h = 1183 * tangent(25.24°)

Calculating this expression, we find:

h ≈ 1183 * 0.4655

h ≈ 550.5005

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The right-hand side of the given equation is rational and can be expressed as a ratio of two integers. Specifically, it can be expressed as the ratio of the integer 2 and the integer 1 raised to the power of\(2^n\).

To determine if the right hand-side of the given equation is rational, we need to evaluate the expression on the right-hand side and see if it can be expressed as a ratio of two integers.

Using the formula given on the left-hand side, we can simplify the right-hand side as follows:

\(1 - (1/2^n+1) / 1 - (1/2)\\= [(1 - 1/2^(n+1)) * 2] / [2 - 1]\\= (2 - 1/2^(n)) / 1\\= 2 - 1/2^n\)

Since 2 and\(1/2^n\) are both rational numbers (2 can be expressed as 2/1 and \(1/2^n as 1/(2^n/1))\), their difference \(2 - 1/2^n\) is also a rational number.

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Answer: 10

Step-by-step explanation:

Yes, a source is generally considered more credible if it includes information about the methods used to generate the data. Including details about how and why the data were collected provides transparency and allows readers to assess the reliability and validity of the information presented.

When a source describes its methodology, it helps to establish the trustworthiness of the data by giving insights into the research process and the techniques employed.By understanding the methods used, readers can evaluate the potential biases, limitations, and generalizability of the findings.

Additionally, this information allows others to replicate the study or conduct further research, promoting scientific rigor and accountability. Including methodological details is an important aspect of scholarly and reputable sources, as it enhances credibility and supports evidence-based conclusions.

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The sum of the first 100 terms of the sequence is $620$.

\($s_3 = 4 + 7 = 11$\)

\($s_4 = 11 + 1 = 12$\)

\($s_5 = 12 + 8 = 20$\)

\($s_6 = 20 + 9 = 29$\)

\($s_7 = 29 + 7 = 36$\)

\($s_8 = 36 + 6 = 42$\)

\($s_9 = 42 + 4 = 46$\)

\($s_{10} = 46 + 7 = 53$\)

\($s_{100} = 620$\)

The given sequence is 4, 7, 1, 8, 9, 7, 6 and so on. The nth term of the sequence is the units digit of the sum of the two previous terms. To find the sum of the first 100 terms, we need to calculate the sum of the first two terms, 4 and 7. This is 11. The next term is the units digit of 11, 1. The sum of the first three terms is 12. The next term is the units digit of 12, which is 2. This process is repeated until we reach the 100th term. The sum of the first 100 terms is 620.

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Answer:

9

Step-by-step explanation:

6 ÷ 2(1+2) = ?

Parenthesis first:

6 ÷ 2(3) = ?

Then do the multiplication and division:

3(3) = ?

9 = ?

Answer:

The smallest value of n is 5.

Step-by-step explanation:

The expressions provided are:

\(1. \sqrt{76+n}\\\\2. \sqrt{2n+26}\)

Rational numbers are those numbers that can be expressed in ratio or fractional form, i.e. in the form of \(\frac{p}{q}\).

The provided numbers have denominators as 1.

We need to find the minimum value of n to make both the numbers a perfect square.

Consider the first number,

\(\sqrt{76+n}=\sqrt{76+5}=\sqrt{81}=9\)

The number \(\frac{9}{1}\) is a rational number.

Consider the second number,

\(\sqrt{2n+26}=\sqrt{(2\times5)+26}=\sqrt{36}=6\)

The number \(\frac{6}{1}\) is a rational number.

Thus, the smallest value of n is 5.

Answer:

3

Step-by-step explanation:

Answer:

negative y axis

Step-by-step explanation:

6 radians is between 3pi/2 and 2pi radians, so it lies in tje fourth quadrant.

So, a terminal side is the negative y axis.

514 x 112  = 57568

---------------------------

Answer:

5 1

       4

×

1 1

       2

=  

21

4

×

3

2

=  

21 × 3

4 × 2

=  

63

8

=  

7    7

     8

Step-by-step explanation:

Answer:

16 and 25

Step-by-step explanation:

they are square numbers

1^2 = 1 .. etc.

this is a I

There is an error 2*2 is 4 lol realised I wrote tht whoops

Answer: 1

\((\frac{x^{a+b} }{x^{c} }) ^{a-b}.(\frac{x^{b+c} }{x^{a} }) ^{b-c} .(\frac{x^{c+a} }{x^{b} })^{c-a}\\\\= \frac{x^{(a+b)(a-b)} }{x^{c(a-b)} }.\frac{x^{(b+c)(b-c)} }{x^{a(b-c)} }.\frac{x^{(c+a)(c-a)} }{x^{b(c-a)} }\\\\=\frac{x^{a^{2}-b^{2} } }{x^{ac-bc} }.\frac{x^{b^{2}-c^{2} } }{x^{ab-ac} }.\frac{x^{c^{2}-a^{2} } }{x^{bc-ab} } \\\\=\frac{x^{a^{2}-b^{2}+b^{2}-c^{2}+c^{2}-a^{2} } }{x^{ac-bc+ab-ac+bc-ab} }\\\\=\frac{x^{0} }{x^{0} }=1\)

Step-by-step explanation:

21.

The angle has an opposite side of value 11 and an adjacent side of value x

We can then apply the formula tan 38° = opposite / adjacent

this gives us tan(38) = 11 / x

11/x = tan(38)

11 = x × tan(38)

x = 11 / tan(38)

x ≈ 14.1 (rounded to the nearest tenth)

And then we need to find the length of the hypotenuse, applying the theorem of Pythagoras. Let H be the hypotenuse, then :

H² = 14,1² + 11²

H² = 198,81 + 121

H = √(319,81)

H ≈ 17,9

Finally the area of the triangle will be (17,9 + 11) / 2 = 28,9 / 2 ≈ 14,45

You apply the same thing for 22 and 23

For 22 you use tan 55 = 15 / x

For 23 you use tan 23 = 7 / x

Good Luck !

Answer:

22

Step-by-step explanation:

Answer:

12 minutes

Step-by-step explanation:

To estimate the time for a trip that is 6 miles long, we need to solve for x in the equation y = 0.467x + 0.417, where y represents the distance in miles.

First, we substitute the value of y, which is 6:

6 = 0.467x + 0.417

Next, we subtract 0.417 from both sides:

5.583 = 0.467x

Finally, we divide both sides by 0.467:

x = 12

So, the estimated time for a trip that is 6 miles long is 12 minutes.

Answer: C

Step-by-step explanation:

We know that the answer is automatically C. What Kylie did was square each term. That is incorrect. Difference of squares is the entire factor squared, not each term. It is (x-1)(x+1) for example. Kylie did not understand this problem, nor did she solve it correctly. Therefore, C is the correct answer.

Answer:

let f(x)= y

y = 4x+8

x= 4y + 8

4y = x - 8

y = (x - 8)/4

Hope this helps.

Answer:

x/4 - 2 = y

Step-by-step explanation:

soo switch x and f(x)

x=4y+8

then bring it back to like how it was before

x-8=4y

then

(x-8)/4=y

then simplify

x/4 - 8/4 = y

which can then be simplified to

x/4 - 2 = y

Answer:

I'm unsure of what you want solved.

Step-by-step explanation:

Answer:

n< 40

Step-by-step explanation:

Answer:

jack has 8 jellybeans and his brother has 17

Step-by-step explanation:

Jack have 8 jellies and his brother have 17 jellies.

A number expressed as a quotient, in which a numerator is divided by a denominator.

Total number of jellies= 25.

The jellies is to be divide between jack and his brother.

let us consider jack has 'x' jellies

Then, his brother have '2x+1'

So, x+ 2x+1=25

3x+1=25

3x=24

x=8

So, jack have 8 jellies and his brother have 2*8+1= 17 jellies.

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Therefore , the solution of the given problem of standard deviation comes out to be the value of x=48 is 0.4853 standard deviations away from the mean.

Statistics uses variance to measure variation. The square root with that number is used to compute the average variation here between data and the mean. In contrast to certain other quantifiable measures of variability, it takes into account all datasets in its calculations by comparing each result to the mean. Variations could be caused by internal or external forces, and they might involve things like unintended mistakes, inflated expectations, and shifting economic or commercial conditions.

Here,

Given :

Standard deviation is 12.59, with a mean of 54.11

X=48

employing the z-formula

=> z = x -u / α

Values are replaced to produce

=> z = 48 -54.11/12.59

the z value is

z= - 0.4853

As a result, it can be shown that the value of x=48 is 0.4853 standard deviations away from the mean.

Therefore , the solution of the given problem of standard deviation comes out to be the value of x=48 is 0.4853 standard deviations away from the mean.

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The complete question is " The annual rainfall in a town has a mean of 54.11 inches and a standard deviation of 12.59 inches. Last year there was rainfall of 48 inches. How many standard deviations away from the mean is that? Round your answer to two decimal places."

Answer:

i believe the answer is 46. good luck!