You Deposit $5000 In An Account Earning 3% Interest Compounded Monthly. How Much Will You Have In Theaccount (2024)

Answer:1

Step-by-step explanation:

The length of the hypotenuse is 10.61 yd.

We have,

The sum of the angles in a triangle = 180

Now,

Two angles are 45.

This means,

The side opposite to angle 45 are equal.

So,

a = c

And,

a = 7.5 yd

Now,

Applying the Pythagorean theorem.

b² = a² + c²

b² = 7.5² + 7.5²

b² = 112.5

b = √112.5

b = 10.61

Thus,

The length of the hypotenuse is 10.61 yd.

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To memorize knowledge there are several tips that can help us. Some are: Repeat some knowledge from time to time to memorize them.

How to memorize knowledge?

To memorize knowledge there are several methods that can be useful when we need to learn something difficult. In this case, we must use some methods that can help us such as:

Practice Spaced Repetition: Spaced repetition is a memorization technique that involves repeating information at specific intervals.Create associations: Try to associate the information you are trying to memorize with something you already know.Use visualization: Visualization is a technique that consists of creating mental images of the information that you are trying to memorize.

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Answer:

Based on the diagram, we can see that there are four lines: k, n, w, and m. The relationship between these lines is important in understanding their geometric properties.

We can see that line k and line n are both straight lines and never intersect, which means they are parallel to each other. This is indicated by the two small arrows on line k and line n that are pointing in the same direction.

On the other hand, line w intersects line m at a right angle (90 degrees). This means that line w is perpendicular to line m. This is indicated by the small square in the corner where line w and line m meet.

Understanding parallel and perpendicular lines is important in many areas of mathematics and science, such as geometry, trigonometry, physics, and engineering.

Step-by-step explanation:

Answer:

The correct statement is: w is parallel to n and w is perpendicular to m.

Step-by-step explanation:

Answer:

B circle graph

Step-by-step explanation:

circle graph or pie chart is the best representation since bar chart is not present

Answer:

54.55

Step-by-step explanation:

The desired outcomes use in finding the probability of blue pens is 7.

Given that a bag contains 8 red pens, 7 blue pens, and 14 black pens. Denato wants to pull a blue pen from the bag.

We need to find desired outcomes for him to use in finding the probability of blue pens,

We know that the desired outcomes or the favorable outcomes are the same thing which is the number of the element of whose probability is to be find,

Here we are to find the probability of getting a blue pen and the number of blues pen is 7.

Hence the desired outcomes use in finding the probability of blue pens is 7.

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The perimeter and area of the square are; 24√2 units and 12 units² respectively

Given the coordinates of the midpoints of the four sides of a square are S(-4,11), Q(2,5), U(-4,-1), A (-10,5)

But since we have the midpoints of all the sides, we can assume they're equidistant from one another since the figure is a square.

SQ = √(x₂ - x₁)² + (y₂ - y₁)²

SQ = √(2 - (-4)² + (5 - 11)²

SQ = 6√2

Let's find QU

QU = √(-4 - 2)² + (-1 - 5)²

QU = 6√2

Let's find UA ;

UA = √(-10 - (-4))² - (5 - (-1)²

UA = 6√2

And the distance AS = 6√2

The perimeter of the square = 4 (6√2)

Perimeter = 24√2 units

The area of the square = l²

Area of the square = (6√2)²

Area of square = 12 units²

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7 groups of 2/7 is equivalent to the whole, which is represented by the number 2.

When we have 7 groups of 2/7, we are essentially multiplying the fraction 2/7 by the whole number 7. To perform this operation, we can use the following formula:

a/b × c/d = ac/bd

where a, b, c, and d are any numbers, and a/b and c/d are two fractions.

In our case, a is 2, b is 7, c is 7, and d is 1. This is because we want to multiply 2/7 by 7 to get 7 groups of 2/7. Therefore, we can substitute these values into the formula:

2/7 × 7/1 = (2 × 7) / (7 × 1) = 14/7

The result is a fraction 14/7, which can be simplified to 2. This means that 7 groups of 2/7 is equal to 2. To simplify this further, we can say that if we divide a whole into 7 equal parts, each part is 2/7. If we have 7 of these parts, we have the whole.

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Answer:

The correct answer is: OA(3, -4.5), B(1.5, -1.5), C(-3, 1.5), D'(-3,-3).

To dilate a point using a scale factor of 4, we multiply each coordinate of the original point by 4.

Thus, the coordinates of A' are (-4 * 4, 6 * 4) = (-16, 24)

The coordinates of B' are (-2 * 4, 2 * 4) = (-8, 8)

The coordinates of C' are (4 * 4, -2 * 4) = (16, -8)

The coordinates of D' are (4 * 4, 4 * 4) = (16, 16)

To check our work, we can plot these points on a graph and compare with the original polygon:

Original Polygon:

A(-4, 6) B(-2, 2)

* *

\ /

\ /

\ /

\ /

\ /

* *

C(4,-2) D(4,4)

Dilated Polygon:

A'(-16, 24) B'(-8, 8)

* *

\ /

\ /

\ /

*

C'(16,-8) D'(16,16)

If we divide the coordinates of the dilated polygon by 4, we get the answer:

A'(-16/4, 24/4) = (-4, 6)

B'(-8/4, 8/4) = (-2, 2)

C'(16/4, -8/4) = (4, -2)

D'(16/4, 16/4) = (4, 4)

So the vertices of polygon A'B'C'D' are OA (3, -4.5), B(1.5, -1.5), C(-3, 1.5), and D'(-3,-3).

Answer: A

Step-by-step explanation:

Answer: A

Step-by-step explanation: Square root of 158 simplified is 12.5698

When a product's profits from sales equal its manufacturing costs, this is called the break-even point.

Since the break-even point is the point at which total costs and total revenues are equal, or "even," in economics, business, and specifically cost accounting.

Therefore, if opportunity costs were paid and capital received the expected return after adjusting for risk, there is no net loss or gain, and one has "broken even."

The break-even point is the point at which total cost and total revenue are equal in the realm of banking and economics.

The amount of units required to cover all costs is determined using the BEP analysis. Fixed and variable costs make up the overall cost in this case.

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Answer:

Step-by-step explanation:

the answer is 22

hoped this helped !

The probability that it ends up centered on the red color is 39/64.

Given that there are four concentric circles on the ice with radii of 4 inches, 3 feet, 5 feet, and 8 feet,

We need to find the probability that it ends up centered on the red color.

So,

The total area = 8²π = 64π

4 inches = 1/3 feet

So, the area of red part = (8²-5²)π = 39π ft²

So, the probability that it ends up centered on the red color = area of red part / total area

= 39/64

Hence the probability that it ends up centered on the red color is 39/64.

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Answer:

answer A

Step-by-step explanation:

since 12/44 = 0.2727272727

Answer:

10 * 10^10 is equal to 100,000,000,000

The water evaporated.

Option B is the correct answer.

We have,

When a liquid is left open in a container, it can undergo a phase change to become a gas or vapor, which is known as evaporation.

In this case,

The water in the beaker would have evaporated, leaving behind the salt. The water did not disappear forever but instead changed state to become a gas in the air.

Thus,

The water evaporated.

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Answer:

C) 5.4

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

Given two legs of a right triangle and we need to find the hypotenuse.

Use Pythagorean theorem:

[tex]PQ = \sqrt{QR^2+PR^2}[/tex][tex]PQ = \sqrt{2^2+5^2} =\sqrt{29} =5.385 = 5.4\ (rounded)[/tex]

The matching choice is C.

Answer: a and b

Step-by-step explanation:

Answer:

5.25

Step-by-step explanation:

not much to show, go 3 topping across then up to see the price

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

[tex]x-2=0\implies x=2\impliedby \textit{vertical line, }\underline{und efined~slope}[/tex]

Check the picture below.

The value of x is 18.9( 1 decimal place).

What is trigonometric ratio?

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

sin(tetha) = opp/hyp

cos(tetha) = adj/hyp

tan(tetha) = opp/adj

The inverse of sin , cos and tan are cosec, sec and cot respectively.

Here, opposite side to the angle is x and the adjascent is 17, therefore to calculate the value of x, we use tan function.

tan 48 = x/17

x = tan48 × 17

x = 1.111 × 17

x = 18.9( 1 d.p)

therefore the value of x is 18.9

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The amount of allowance Claire would have on the 14th day is given by the geometric progression and a₁₄ = $ 409.60

Given data ,

The pattern in which the allowance is increasing is a geometric sequence with first term $0.05$ and common ratio $r=2$ since each term is twice the previous term.

The given GP has a common ratio of 2. We can find the 14th term using the formula:

aₙ = arⁿ⁻¹

Here, a1 = 0.05 and r = 2. Therefore,

a₁₄ = 0.05 * 2^(14-1)

a₁₄ = 0.05 * 2^13

a₁₄ = 0.05 * 8192

a₁₄ = 409.6

Hence , the 14th term of the given GP is $ 409.60

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Answer: it's 300cm, hope this helps

The type of the conic basic x² - 4x + y² + 2y = 4 is a circle

Identifying the type of the conic basic

From the question, we have the following parameters that can be used in our computation:

x² - 4x + y² + 2y = 4

The above equation has the following features

Squared expression of x and yLinear expressions of x and yA constant term 4

Using the above as a guide, we have the following:

A conic section that has the above features is a circle

This means that the type of the conic basic is a circle

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Answer:b

Step-by-step explanation:

Step-by-step explanation:

it says "college" in the headline of this question.

are you serious ?

this is an upper elementary or beginning of middle school problem.

if you have a problem with such a question in college, you really have a problem and would need intensive tutoring (you need to recover everything from the beginning of math).

in such problems, to find your way, always try to find the amount represented by 1 unit.

everything else can be then calculated in relation to that one unit.

3 cars cost $2.46

1 car costs therefore 1/3 of that :

2.46/3 = $0.82

and 25 cars cost then 25 times that of a single car :

0.82 × 25 = $20.50

in short, the direct approach is

$2.46 × 25/3 = $20.50

As the line is parallel to the given line, the slopes of both lines are equal.

The given line 8x − y = 9 can be written in slope-intercept form as:

y = 8x - 9

Comparing with y = mx + b, we get slope m = 8.

Therefore, the slope of the line we need to find is also 8.

Using the point-slope form of the equation of a line, we have:

y - y1 = m(x - x1)

where (x1, y1) = (7, 3) and m = 8.

Substituting the values, we get:

y - 3 = 8(x - 7)

y - 3 = 8x - 56

y = 8x - 53

This is the equation of the line in slope-intercept form. To convert it to standard form, we move all the variables to the left-hand side:

-8x + y = -53

Therefore, the equation of the line in standard form is:

8x - y = 53.

The solution is: the ratio of teenagers to attendees is: 1:2.

Here, we have,

given that,

Out 28 teenagers and adults people 12 adults attend a music concert

now, we need to find the ratio of teenagers to attendees.

so, we have,

12 adults attend a music concert

total attendees = 28 teenagers and adults people

so, we get,

number of teenagers = 28 -12

= 14

so, the ratio of teenagers to attendees is:

14: 28

=1:2

Hence, The solution is: the ratio of teenagers to attendees is: 1:2.

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[tex]\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{"z" varies inversely with "t"}}{z = \cfrac{k}{t}}\hspace{5em}\textit{we also know that} \begin{cases} z=10\\ t=12 \end{cases} \\\\\\ 10=\cfrac{k}{12}\implies 120 = k\hspace{9em}\boxed{z=\cfrac{120}{t}} \\\\\\ \textit{when t = 5, what's "z"?}\qquad z=\cfrac{120}{5}\implies z=24[/tex]