If $17,800 is invested at an interest rate of 8% per year, find the value of the investment at the end of 5 years for the following compounding methods, to the nearest cent.

Answer:

(x+4) or (x-1)

Step-by-step explanation:

Do this by factoring out your equation. To do this, think about which two numbers multiply to be -4 but also add up to be 3 (the -4 came from multiplying the first value (the 1 that is attached to the [tex]x^{2}[/tex]) and the last value, which is -4. The 3 came from the middle term).

The two numbers you should have gotten are 4 and -1. Therefore, (x+4) and (x-1) are both of the binomials that could be your answer

Answer:

k = -21

Step-by-step explanation:

9/ (2k-3) = 4/(k+1)

Using cross products

9 * (k+1) = 4(2k-3)

Distribute

9k+9 = 8k -12

Subtract 8k from each side

9k-8k +9 = 8k-8k-12

k+9 = -12

Subtract 9 from each side

k+9-9 = -12-9

k = -21

Answer:

[tex]\huge\boxed{k=21}[/tex]

Step-by-step explanation:

[tex]\dfrac{9}{2k-3}=\dfrac{4}{k+1}[/tex]

First step:

Find domain.

We know: the denominator must be different than 0.

Therefore we have:

[tex]2k-3\neq0\ \wedge\ k+1[/tex]

[tex]2k-3\neq0\qquad\text{add 3 to both sides}\\2k\neq3\qquad\text{divide both sides by 2}\\\boxed{k\neq1.5}\\\\k+1\neq0\qquad\text{subtract 1 from both sides}\\\boxed{k\neq-1}\\\\\text{Domain:}\ x\in\mathbb{R}\backslash\{-1;\ 1.5\}[/tex]

Second step:

Solve for k.

[tex]\dfrac{9}{2k-3}=\dfrac{4}{k+1}\qquad\text{cross multiply}\\\\9(k+1)=4(2k-3)\qquad\text{use the distributive property}:\ a(b+c)=ab+ac\\\\(9)(k)+(9)(1)=(4)(2k)-(4)(3)\\\\9k+9=8k-12\qquad\text{subtract 9 from both sides}\\\\9k=8k-21\qquad\text{subtract}\ 8k\ \text{from both sides}\\\\\boxed{k=21}\in\text{Domain}[/tex]

Answer:

3/2

Step-by-step explanation:

We can find the slope of this line by using two points

(1,-3) and (3,0)

m = (y2-y1)/(x2-x1)

    = (0- -3)/(3 -1)

    = (0+3)/(3-1)

    = 3/2

Answer:

.321,.33,.4

Step-by-step explanation:

the point is like negative it decreases with

the big number is consider the smallest with the point while without the point the big number remains

Answer: up to 999

Step-by-step explanation: Now, if you consider repetition allowed, all the numbers from 100 to 999 are 3 digit numbers. How many numbers are formed ? count numbers starting from 100 up to 999. Hence, 900 numbers are formed.

Answer:

0.3811 = 38.11% probability that he weighs between 170 and 220 pounds.

Step-by-step explanation:

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.

In this question, we have that:

[tex]\mu = 200, \sigma = 50[/tex]

Find the probability that he weighs between 170 and 220 pounds.

This is the pvalue of Z when X = 220 subtracted by the pvalue of Z when X = 170.

X = 220

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

[tex]Z = \frac{220 - 200}{50}[/tex]

[tex]Z = 0.4[/tex]

[tex]Z = 0.4[/tex] has a pvalue of 0.6554

X = 170

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

[tex]Z = \frac{170 - 200}{50}[/tex]

[tex]Z = -0.6[/tex]

[tex]Z = -0.6[/tex] has a pvalue of 0.2743

0.6554 - 0.2743 = 0.3811

0.3811 = 38.11% probability that he weighs between 170 and 220 pounds.

Answer:

[tex]3\sqrt{6}[/tex]

Step-by-step explanation:

We are to determine the limit below.

[tex]\lim _{x \rightarrow8}\sqrt{7x-2}[/tex]

Plug in 8 into the function.

[tex]\lim _{x \rightarrow8}\sqrt{7x-2}=\sqrt{7(8)-2}\\=\sqrt{56-2}\\ =\sqrt{54}\\ =3\sqrt{6} \\\lim _{x \rightarrow8}\sqrt{7x-2}=3\sqrt{6}[/tex]

Answer:

54 degrees

Step-by-step explanation:

The opposite angles in a parallelogram are equal.

At least one other angle must be equal to 54°.

Given that, you are told that one of the internal angles of a parallelogram is 54°.

A parallelogram is a type of quadrilateral in which the opposite sides are parallel and equal. There are four angles in a parallelogram at the vertices. Understanding the properties of parallelograms helps to easily relate their angles and sides. Also, the properties are helpful for calculations in problems relating to the sides and angles of a parallelogram.

The four important properties of parallelogram angles and sides are as follows:

The opposite sides of a parallelogram are equal and parallel to each other.

Opposite angles are equal, i.e ∠A = ∠C, and ∠B = ∠D.

All the angles of a parallelogram add up to 360°, i.e. ∠A + ∠B + ∠C + ∠D = 360°.

The consecutive angles of a parallelogram are supplementary, i.e.,

∠A + ∠B = 180°

∠B + ∠C = 180°

∠C + ∠D = 180°

∠D + ∠A = 180°

Now, since opposite angles are equal, then the other angle must be equal to 54°.

Therefore, at least one other angle must be equal to 54°.

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Answer:

work is shown and pictured

Answer:

(-2, 13)

Step-by-step explanation:

Or b on edge

The side opposite to angle B is the side that does not contact with angle B.

In this attached image, you can see better that sides AB and BC is in contact with angle B. So, the opposite side to angle B is AC.

Therefore, the lenght of the side opposite to angle B is 4 units.

Answer:

B 4Units

Step-by-step explanation:

Edg 2020 or maybe 2022

Answer:

100%

Step-by-step explanation:

The numbers odd or less than 7 are 5, 6, and 7.

3 numbers out of 3.

3/3 = 1

P(odd or less than 7) = 100%

Answer:

$11,450

Step-by-step explanation:

thats the median price according to Google

Answer:

12/7

Step-by-step explanation:

y=7x

y=12 ⇒ 7x= 12 ⇒ x= 12/7

Answer:

we approach the issue by taking note of that a 2 x 2 matrix can either have 1 0r 2 pivot columns. If the matrix has no pivot columns then every entry in the matrix must be zero.

-> if our matrix has two pivot columns then : [tex]\left(\begin{array}{rr}-&*&0&-\end{array}\right)[/tex]

-> if our matrix has one pivot column then we have a choice to make. If the first column is pivot column then: [tex]\left(\begin{array}{rr}-&*&0&0\end{array}\right)[/tex]

->otherwise, if the pivot column is the second column then: [tex]\left(\begin{array}{rr}0&-&0&0\end{array}\right)[/tex]

The difference between the citys highest and lowest recorded temperatures is 60°.

Answer:

s-7<3

in order to find the value adding 7 on both sides

s-7+7<3+7

s<10

Step-by-step explanation:

i hope this will help you :)

Answer:

s-7<3

in order to find the value adding 7 on both sides

s-7+7<3+7

s<10

Step-by-step explanation:

Answer:

4x-3y

Step-by-step explanation:

Answer:  c) 88

Step-by-step explanation:

8, -16, 32, ...

We can see that each previous term is multiplied by -2

so the next two terms will be 32(-2) = -64 and -64(-2) = 128

So the first 5 terms of the sequence is:  8, -16, 32, -64, 128

Add the positive numbers and the negative numbers, then find their sum.

8 + 32 + 128 = 168

   -16 + (-64) = -80  

              Sum = 88    

Answer:

none none and none

Step-by-step explanation:

Answer:

36 = 2j + 3

This should be the correct answer to your question

PLease rate and mark brainliac if this helped

Answer:

1.3 in

Step-by-step explanation:

If 0.75 is 0.55 less than the average amount, the answer must be 0.75 + 0.55 = 1.3 inches.

Answer:

1.3 in

Step-by-step explanation:

Not exactly

The values of the table are determined by the equation

================================================

How to get this answer:

Midpoint formula: (A+B)/2 = C

A and B are the endpoints with C as the midpoint

A = 7/8

B = 6/7

A+B = 7/8 + 6/7

A+B = 49/56 + 48/56

A+B = (49+48)/56

A+B = 97/56

(A+B)/2 = (97/56) divided by 2

(A+B)/2 = (97/56) times (1/2)

(A+B)/2 = (97*1)/(56*2)

(A+B)/2 = 97/112

Answer:

12

Step-by-step explanation:

Given:

Let the number be x.

According to the question,

8(x-6)= 4 x

8 x-48=4 x

8 x-4 x= 48

4 x=48

x=48/4

x=12

Thank you!

Answer:

55+/-3.69

= (51.31, 58.69)

Therefore, the 99% confidence interval (a,b)= (51.31, 58.69)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x =55

Standard deviation r = 10

Number of samples n = 49

Confidence interval = 99%

z-value (at 99% confidence) = 2.58

Substituting the values we have;

55+/-2.58(10/√49)

55+/-2.58(1.428571428571)

55+/-3.685714285714

55+/-3.69

= (51.31, 58.69)

Therefore, the 99% confidence interval (a,b)= (51.31, 58.69)

Answer:

l = A/aw

Step-by-step explanation:

Since we want the equation in terms of l, we simply isolate the l by dividing both sides by aw:

A = law

A/aw = law/aw

A/aw = l

Answer:

3.4 grams

Step-by-step explanation:

The water 20g has salt solution of 17%.

If you were to evaporate all the water.

17% × 20

0.17 × 20 = 3.4

You would get 3.4 grams of salt.

The amount of salt extracted when evaporating 20g of a 17 % salt solution is 3.4 grams of salt

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the percentage of salt solution be = 17 %

The total amount of solution = 20g

The amount of salt while evaporating the solution is =
percentage of salt solution x total amount of solution

So , the equation will be

The amount of salt while evaporating the solution is = ( 17 / 100 ) x 20

The amount of salt while evaporating the solution is = 0.17 x 20

The amount of salt while evaporating the solution is = 3.4 grams

Therefore , the value is 3.4 grams

Hence , The amount of salt extracted when evaporating 20g of a 17 % salt solution is 3.4 grams of salt

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Answer:

A and D

Step-by-step explanation:

Quadrilateral is a four sided figure

Parallelogram is a quadrilateral with two pairs of parallel sides

Answer:

The correct options are (1), (3) and (5).

Step-by-step explanation:

The two triangles are shown below.

The measure of ∠F corresponds to ∠F'.

The distance between the points D and origin is of 9 units.

And the distance between the points D' and origin is 3 units.

Thus, the distance from point D' to the origin is One-third the distance of point D to the origin.

Check for similarity:

[tex]\frac{D'F'}{DF}=\frac{D'E'}{DE}=\frac{F'E'}{FE}=\frac{1}{3}[/tex]

Thus, the △DEF is similar to △D'E'F'.

Thus, the correct options are (1), (3) and (5).

Answer:

I think it's the first, third, and fifth options.

Step-by-step explanation:

I hope this helps.

Answer:

36 yd³

Step-by-step explanation:

The above solid shape given is a triangular prism.

The volume of triangular prism is given as ½ × base length of the triangle (b) × height of the triangle (h) × the length of the prism (l)

Base length of triangle (b) = 9 yd

Height of the triangle (h) = 2 yd

Length of the prism (l) = 4 yd

Volume = ½bhl

Volume = ½*9*2*4

Volume = 9*4

Volume of prism = 36 yd³