How many years will it take for $136,000 to grow to $468,000 if it is invested in an account with an annual interest rate of 8%?

Answer:

B is the correct answer.

Step-by-step explanation:

These triangles cannot be proven congruent, however, we can prove they are similar by AAA Similarity Theorem or having three corresponding angles congruent.

For two triangles to be congruent, at least one corresponding side of the two triangles must be congruent.

Since no corresponding side on both triangles is said to be congruent, then

John's savings amount as a function of time is S(t) = $24,000 / 25. Initially, he needs to save $24,000 for a new car. After the first month, he has saved $1,000. The savings amount is directly proportional to the time elapsed. The constant of proportionality is 1/24. Thus, John's savings amount can be determined based on the remaining amount he needs to save.

John's savings amount can be represented as a function of time and is proportional to the amount he still needs to save. Let's denote the amount John needs to save as N(t) at time t, and his savings amount as S(t) at time t. Initially, John needs to save $24,000, so we have N(0) = $24,000.

We know that John has saved $1,000 after the first month, which means S(1) = $1,000. Since his savings amount is proportional to the amount he still needs to save, we can write the proportionality as:

S(t) = k * N(t)

where k is a constant of proportionality.

We need to find the value of k to determine John's savings amount at any given time.

Using the initial values, we can substitute t = 0 and t = 1 into the equation above:

S(0) = k * N(0)  =>  $1,000 = k * $24,000  =>  k = 1/24

Now we have the value of k, and we can write John's savings amount as a function of time:

S(t) = (1/24) * N(t)

Since John's savings amount is proportional to the amount he still needs to save, we can express the amount he still needs to save at time t as:

N(t) = $24,000 - S(t)

Substituting the expression for N(t) into the equation for S(t), we get:

S(t) = (1/24) * ($24,000 - S(t))

Simplifying the equation, we have:

24S(t) = $24,000 - S(t)

25S(t) = $24,000

S(t) = $24,000 / 25

Therefore, John's savings amount at any given time t is S(t) = $24,000 / 25.

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Answer: 107.50

Step-by-step explanation:

RCV is more expensive compared to ACV, therefore, Shawn would have to pay more to insure his belongings with RCV coverage.

As Shawn rents an apartment in an all-brick building located in a historic, downtown neighborhood and the value of the belongings in the apartment is about $25,000, he will have to pay around $125 to $375 per year to insure his belongings while renting depending on the type of coverage he chooses.

A renter’s insurance policy can protect the belongings of renters who live in an apartment or house they rent and covers their liability towards others in case they get injured. For this reason, the cost of renter’s insurance will vary depending on the type of coverage needed. If Shawn wants more coverage, then he will pay a higher rate. There are two types of coverage which include actual cash value (ACV) and replacement cost value (RCV).

ACV is a coverage that pays for the value of the belongings, minus the depreciation. Whereas, RCV is a coverage that pays for the cost of replacing the belongings, regardless of their current value.  

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1/2

. .  ..  . . . . . . . . r.f re.f .er. e. . .e .e .r ..e .er.re

Answer:

0.5 is your answer. Learning about this stuff too.

Step-by-step explanation:

Or 1/2 as a fraction.

Answer:

The roots of the quadratic equation  are  , .

Step-by-step explanation:

The roots of the quadratic equation  are  , .

Step-by-step explanation:

As given the equation in the form

Simplify the above equation

(x-2)-x = 3x × (x-2)

x-2 - x = 3x² - 6x

3x² - 6x + 2 = 0          

As the equation is written in the form ax² + bx + c = 0

a = 3 , b = -6 , c = 2

Put all the values in the above equation

Thus

Therefore the roots of the quadratic equation  are  , .

Answer:

1. Alike

2. Opposite

3. Common factor

Step-by-step explanation:

1. To have a positive number, you can only have alike signs, for example, any positive number times another positive number is always positive. The same is true for negative numbers multiplied by each other.

2. To have a negative number, there has to be one negative number and one positive number being multiplied together. Always. For example:

3 x -5 =-15

10 x -1 = -10

3. You can factor out a common factor to simplify a polynomial before you factor it.

If we know that hanj is a decreasing sequence and all its terms lie between the numbers 5 and 8, it can be explained as follows:

Decreasing Sequence: The term "decreasing sequence" means that each subsequent term in the sequence is smaller than its preceding term. In the case of hanj, this implies that each hanj term is smaller than the one that comes before it. This information establishes the order and pattern of the sequence.

Upper Bound: The fact that all the terms of hanj lie between the numbers 5 and 8 indicates that no term in the sequence exceeds the value of 8. This upper bound of 8 sets a limit on the magnitude of the hanj terms, ensuring they do not exceed this value.

Lower Bound: Similarly, the statement suggests that none of the hanj terms is less than the number 5. This establishes a lower bound for the sequence, indicating that the terms are not smaller than 5.

Combining these two bounds (5 and 8) along with the decreasing nature of the sequence, we can conclude that the hanj sequence is a monotonically decreasing sequence with terms ranging from 5 to 8, inclusive.

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Answer:

$491.25   and   0.15xx + 300

Step-by-step explanation:

15%=0.15

$1275×0.15=$191.25 in sales

$191.25+$300=$491.25

He would make $491.25 a week in which he made 1275 in sales.

0.15xx + 300 = total earnings

He would make 0.15xx + 300 if he made xx dollars in sales

Answer:

it is C

Step-by-step explanation:

Answer:

378 people

Step-by-step explanation:

60% of 630 = 0.6 × 630 = 378

Answer:

378

Step-by-step explanation:

60% of 630 = 378

\(2(6k^{2} +k+4)\)

Answer:

The answer would be 45/12 or 15/4. In decimal form, it would be 3.75.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

its a and 23 45 67

The probability of an even number is twice as likely to occur as an odd number is 2/9 and 1/9 respectively.

Probability in math term is defined as  a number that reflects the chance or likelihood that a particular event will occur.

Here we have given that an unfair/biased die is considered as an even number is twice as likely to occur as an odd number.

And here we need to find the probability of the event.

Here let us consider that probability of getting an even number = x and let probability of getting odd number = y

Then it can be written as

=> 3x+3y=1

Here we write it as because probability of getting even number or odd number = 1 since those two are the only possibilities.

Then we have to apply the value of x=2y (given)

Now, we have to solve these two, then we get,

=> x=2/9 and y=1/9

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Solution:

Given the triangle below where K is in the incenter:

Thus, we have

step 1: In the triangle DGK, find DK.

Thus, by Pythagoras theorem, we have

step 2: In the triangle KDI, find DK.

Similarly, we have

Step 3: Equate the equations in steps 1 and 2.

This gives

The value of x is

Answer:

\(2x+y=11\)

Step-by-step explanation:

Standard form of an equation is written as \(ax+by=c\) for some constants \(a\), \(b\), and \(c\).

Slope-intercept form is written as \(y=mx+b\) where \(m\) is the slope and \(b\) is the y-intercept.

Plugging in all given values in the problem (\(m=-2\), \(x=4\), and \(y=3\)), we can solve for \(b\):

\(3=-2(4)=b, \\b=11\).

Therefore, our equation in slope-intercept form is:

\(y=-2x+11\).

Rewriting in this in standard form, we get our answer:

\(\fbox{$2x+y=11$}\)

Answer:

Step-by-step explanation:

I dont know

Answer: D

Step-by-step explanation:

Answer:

3398.1761

Step-by-step explanation:

Using compound interest relation:

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

5.2 / 100 = 0.052

n = 365 * 12 = 4380

6000 = P(1 + 0.052/4380)^4380*11

6000 = P(1.0000118)^48180

6000 = 1.7656530P

P = 6000/ 1.7656530

P = 3398.1761

Answer:

98086

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

The number of possible king-queen pairs can be determined by multiplying the number of candidates for king by the number of candidates for queen.

To calculate the number of king-queen pairs, we multiply the number of candidates for king by the number of candidates for queen. In this case, there are four candidates for homecoming queen and three candidates for king. Therefore, the total number of king-queen pairs would be 4 multiplied by 3, which equals 12.

Each candidate for king can be paired with each candidate for queen, resulting in multiple possible combinations. By multiplying the number of candidates for each position, we account for all possible pairings. In this scenario, there are three potential kings and four potential queens. For each king, there are four possible queens he can be paired with. Since there are three kings, we multiply 3 by 4 to get the total number of 12 king-queen pairs.

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So, on solving the provided question, we can say that equation of diagonal WY is 13.03 units

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

by d=√((x2 – x1)² + (y2 – y1)²).

Coordinates of W = (-4,5) and Y = (3,-6)

= √((3 – (-4))² + (-6 – 5)²)

= √170

= 13.03 units

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The length which result in a ratio closest to the golden ratio is equal to  7.5 inches and 4.5 inches. Option C is correct.

The line segment is made with two end points. Length of a line segment is the distance of both the ends of it.

A 12 inch line segment is divided into two parts. Suppose the line segment is AC which is divided into AB and BC parts. Thus,

AB+BC=AC

AB+BC=12                   ....1

The value of golden ratio is equal to 1.618. It can also be given as (1+√5)/2. The ratio of both segment is equal to golden ratio. Thus

\(\dfrac{AB}{BC}=\dfrac{AC}{AB}=\dfrac{1+\sqrt{5}}{2}\\\dfrac{12}{AB}=1.618\\AB=7.4166 \rm\; in\)

Put this value in equation one as,

AB+7.4166=12    

AB=4.5834

The length which result in a ratio closest to the golden ratio is equal to  7.5 inches and 4.5 inches. Option C is correct.

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Answer:

9 inches

Step-by-step explanation:

4.5 plus 4.5 equals 9 so that would be 9 inches. They said 1 side is equal to 4.5 so that means the other side equals 4.5 because the planter is a cube and a cube side is equal (all four of them) so let's add 4.5 plus 4.5 equals 9 so the answer is 9 inches.

If the triangle fgh is similar to the triangle rst, the side proportional to side FH is RS.

When two triangles are similar, their corresponding sides are proportional in length.

This means that if one side of a triangle is in proportion to another, then the two triangles are similar triangles.

Two triangles are similar if they have the same shape but not necessarily the same size.

Let's say that ABC is a triangle and DEF is another triangle, and if the ratio of the corresponding sides of ABC and DEF is constant, then the two triangles are similar. Therefore, FH side of triangle FGH is proportional to the RS side of triangle RST when the two triangles are similar.

Hence, we can write the proportion as below:

FH/FM=HG/TS=GF/SR;

in the above proportion, FM=TS and GF=HG.

Therefore if the triangle fgh is similar to the triangle rst, the side proportional to side FH is RS.

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There are approximately 11.25 cups of granulated sugar in a 5 pound bag.

To determine the number of cups of granulated sugar in a 5 pound bag, we can use the conversion factor of 2.25 cups per pound.

First, we multiply the number of pounds (5) by the conversion factor:

5 pounds * 2.25 cups/pound = 11.25 cups

Therefore, there are approximately 11.25 cups of granulated sugar in a 5 pound bag.

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Answer:

w = 11.25

Step-by-step explanation:

To solve this problem, we are going to move all of the terms containing the variable w to the left side of the equation and all of the constant terms (ones with numbers only) to the right side of the equation.

w - 24 = -3w + 21

To do this, we should first add 24 to both sides of the equation.

w - 24 + 24 = -3w +21 + 24

If we simplify, we get:

w =  -3w + 45

Next, we should add 3w to both sides of the equation.

w + 3w = -3w + 3w + 45

4w = 45

Finally, we can divide both sides by 4.

4w/4 = 45/4

w = 11.25

Hope this helps!

Answer: <2 is 40 degrees still.

Step-by-step explanation:

Both Angle 1 and Angle 2 are corresponding angles (aka Same Side Angles)