0 Example: Loan payments of $400 due 95 days ago and $700 due today
are to be repaid by a payment of $600 thirty days from today and the
balance in 125 days. If money is worth 6% and the agreed focal date is
125 days from today, what is the size of the final payment?​

The dimensions of the room will be 12m x 6m.

So, now calculate the dimensions of the room as follows:

Solve as shown:

Therefore, 12m x 6m will be the dimensions of the room.

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The correct answer is option a. $7,594.46.

To calculate the amount you would reduce the amount you owe in the first year, we can use the formula for the equal installment of a loan. The formula is:

Installment = Principal / Number of Installments + (Principal - Total Repaid) * Interest Rate

In this case, the principal is $45,000, the number of installments is 5, and the interest rate is 8.5%.

Let's calculate the amount you would reduce the amount you owe in the first year:

Installment = $45,000 / 5 + ($45,000 - $0) * 0.085Installment = $9,000 + $3,825

Installment = $12,825

Therefore, you would reduce the amount you owe by $12,825 in the first year.The correct answer is option a. $7,594.46.

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The four vertices of the given ellipse {(x-6)^2}/{3^2} + {(y-2)^2}/{4^2}=1 with a center point (6,2) are (9, 2), (3, 2), (6, 6), and (6, -2).

The given ellipse is in the form of [(x-h)^2/a^2]+[(y-k)^2/b^2]=1 where (h, k) is the center of the ellipse.

Therefore, we can see that the given ellipse is in the standard form of an ellipse.

Thus, the center point can be found by comparing the given equation to the standard equation.

The standard form of the equation of an ellipse is [(x-h)^2/a^2]+[(y-k)^2/b^2]=1

Comparing it with the given equation,{(x-6)^2}/{3^2} + {(y-2)^2}/{4^2}=1

We get that the center point is (6, 2). So, the center point is (6, 2).

Now, let us find the four vertices of the ellipse. The distance of the vertices from the center is a. The value of a is 3 in this case.

Therefore, we can use the center point (6, 2) and the value of a to calculate the coordinates of the four vertices of the ellipse.

So, the coordinates of the four vertices are (9, 2), (3, 2), (6, 6), and (6, -2).

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Answer:

It's C

X = -3

Step-by-step explanation:

Edge 2022

The equation represents the directrix is x=-3.

the correct option is (C).

A parabola is set of all points in a plane which are an equal distance away from a given point and given line. The point is called the focus of the parabola, and the line is called the directrix . The directrix is perpendicular to the axis of symmetry of a parabola and does not touch the parabola.

given: y²=12x

y²=4*3*x

Here a=3

So, x+a=0

x+3=0

x=-3.

Hence, the directrix of parabola is: x=-3

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Step-by-step explanation:

x = pounds of Tanzanian coffee

y = pounds of Terraza coffee

x + y = 40

x = 40 - y

x×10.20 + y×13.60 = 40×12.58 = 503.20

(40 - y)×10.20 + y×13.60 = 503.20

408 - y×10.20 + y×13.60 = 503.20

y(13.60 - 10.20) = 95.2

y×3.40 = 95.2

y = 95.2 / 3.4 = 28

x = 40 - 28 = 12

he needs to mix

12 pounds of Tanzanian coffee with 28 pounds of Terraza coffee.

Answer:

C. -336

Step-by-step explanation:

1. Substitute 25 for x as g(25) simply means x = 25

2. Now that the equation is g(x) = 24(25 - 39), solve what's within the parenthesis first due to PEMDAS or subtract 25 - 39.

3. Now that the equation is g(x) = 24(-14) due to subtracting 25 and 39, multiply 24 by -14 since there is no sign. And a parenthesis with a number in it besides a number with no parenthesis signifies multiplication.

4. Now the answer found is -336.

Yes, zero is a real number, as zero is a rational number, and any rational number is a real number. In particular, the real numbers set is the union of a set of rational numbers with a set of irrational numbers.

Zero is an even number, but it is neither a prime nor a composite number. Zero is neither positive nor negative, but it connects the gap between them. Zero factorial is 1 (0! = 1). Zero is real, rational, and an integer number, but it is not a natural number. Division by zero is undefined.

Zero is an important number because it is an additive identity factor for integers, rational numbers, and real numbers.  That is, y + 0 = y = 0 + y for any real number y.

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Answer:

BC ≈ 11.8 m

Step-by-step explanation:

using the tangent ratio in the right triangle

tanΘ = \(\frac{opposite}{adjacent}\) = \(\frac{AB}{BC}\) , that is

tan32° = \(\frac{x}{BC}\) = \(\frac{7.4}{BC}\) ( multiply both sides by BC )

BC × tan32° = 7.4 ( divide both sides by tan32° )

BC = \(\frac{7.4}{tan32}\) ≈ 11.8 m ( to 3 sf )

The area of land the charity planted was 17000 m². The charity met its target

An equation is an expression that is used to show how numbers and variables are related using mathematical operators

1 km = 1000 m

1 km² = 1000000 m²

An environmental charity set a target to plant trees on 9000 m² of land in September.

In September, it planted trees on 0.017 km² of land. Hence:

Area of land planted = 0.017 km² * 1000000 m² per km² = 17000 m²

17000 m² is greater than 9000m². The charity met its target

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Answer:

-1

Step-by-step explanation

Raising -1 to an odd power gives us -1, while raising -1 to an even power gives us (positive) 1. Because 2009 is odd, the answer is -1. The other answer choices are there to confuse you.

Answer:

$17.65

Step-by-step explanation:

You really just have to multiply the lbs and cost per pound together and you get $17.65

Answer:

Beth will pay 86.14 cents per pound for her 2.6 pounds of coffee beans.

Step-by-step explanation:Beth will pay 86.14 cents per pound for her 2.6 pounds of coffee beans.

Answer:

42.3

Step-by-step explanation:

3.6(3)+4.5(7)=10.8+31.5

=42.3

The measurement of ∠STU is 20°.

Define Angle

When two rays are connected at their endpoints, they form an angle in geometry. We refer to these rays as the angle's sides or arms.

Components of an Angle

An angle is composed of the arms and the vertex as its two basic components:

Given, ∠STU = \((\frac {1}{4} x+8)\)°

∠UTV = x+2°

Given, that the line TV bisects ∠STU,

∠STV = ∠UTV

Substitute their values,

\((\frac {1}{4} x+8)\)° = x+2°

Calculating,

\(\frac{1}{4}x-x\) = 2-8

\(-\frac{3}{4}x\) = -6

x = \(-6*(-\frac{4}{3})\)

x = 8

So, we know that:

∠STU = ∠STV + ∠UTV

          =  \((\frac {1}{4} x+8)\)° +( x+2°)

          =  \((\frac {5}{4} x+10)\)

Now, substitute the value of x,

∠STU =  \((\frac {5}{4} )*8\)°+10°

          = 10° + 10°

          = 20°

Therefore, the measure of ∠STU is 20°.

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Answer:54 is the54 d

Step-by-step explanation:

no sorry

Answer:

7/20

Step-by-step explanation:

10 blue marbles, 4 black marbles, 5 white marbles, and 6 red marbles = 25 marbles

25-10 = 15

There are 15 not blue marbles

P( not blue ) = not blue marbles / total = 15/25 = 3/5

keep the not blue marble

25-1 = 24 marbles left

15-1 = 14 not blue marbles

P( not blue ) = not blue marbles / total = 14/24 = 7/12

P( not blue, keep, not blue) = 3/5 * 7/12 = 21/60 = 7/20

Answer:

7/20

Step-by-step explanation:

10(blue) + 4(black) + 5(white) + 6(red) = 25(total)

25(total)-10(blue)=15(not blue)

not blue/all = 15/25 = 3/5 = probability that first marble removed are not blue

If we remove 1 marble;

25-1 = 24 (total) , 15-1=14(not blue)

second not blue/all = 14/24 = 7/12 = probability that second marble removed are not blue

probability that both marbles removed are not blue : 3/5. 7/12 = 21/60

21/60 = 7/20

Hope this helps ^-^

The result of each operation is given as follows:

a) a U b = {0, 1, 2, 3, 4, 5, 6, 7, 8}.

b) a ∩ b = {}.

c) a - b = {0, 2, 4, 6, 8}.

The union and intersection sets of multiple sets are defined as follows:

Item a:

The union set is composed by the elements that belong to at least one of the sets, hence:

a U b = {0, 1, 2, 3, 4, 5, 6, 7, 8}.

Item B:

The two sets are disjoint, that is, there are no elements that belong to both sets, hence the intersection is given by the empty set.

Item c:

The subtraction is all the elements that are on set a but not set b, hence:

a - b = {0, 2, 4, 6, 8}.

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Answer:

69r 420s

Step-by-step explanation:

you gotta do that and do this to that and after that you get that

Answer:

f(4) = 25

Step-by-step explanation:

substitute x = 4 into f(x)

f(4) = 2(4)² - 7 = 2(16) - 7 = 32 - 7 = 25

Answer:

1.18 times 10 Superscript negative 4 YW

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Answer:22

Step-by-step explanation:

Answer:

Roman

Step-by-step explanation:

An easy way to solve this is looking at whether the line has a positive or negative slope. We read graphs from left to right so if the line is increasing from left to right, it has a positive slope while a line decreasing from left to right has a negative slope. Since the line shown is decreasing from left to right, it will have a negative slope and Roman is the only one out of the two that shows a negative slope. To check to see if he's correct, we can check the y-intercept. The y-intercept of the line is 8 and Roman also has 8 written in the expression. Hence, meaning Roman is correct.

Best of Luck!

Answer:

(d) 22

Step-by-step explanation:

1 to 4 difference is 3

4 to 10 difference is 6

10 to 22 difference is 12

22 to 46 difference is 24

46 to 94 difference is 48

so, you can see that the difference multiplies by 2 (3x2 = 6, 6x2 = 12, etc.)

thus the answer is d. 22

Answer: 3

Step-by-step explanation:

Answer: y ≥ \(\frac{3}{2}\)x + 3

Step-by-step explanation:

       Since the shaded area is above the line, we will use either > or ≥ for our inequality.

       Next, since this is a solid line we will use the ≥ symbol for our inequality. This means the answer is the first option.

Answer:

38

Step-by-step explanation:

1/2(10p-7q)

1/2(10(9)-7(2))

1/2(90-14)

1/2(76)

76/2

38

Answer:

\(\angle HLG=18 \textdegree\)

Step-by-step explanation:

The sum of the angles in the top quadrant must add up to 90º.

We are given

\(25m+22\)  and  \(9m\)

The sum of those must equal 90.

Therefore we can write

\((25m+22)+(9m)=90\)

Rearrange and remove the parenthesis.

\(9m+25m+22=90\)

Add \(9m\) and \(25m\).

\(34m+22=90\)

Subtract 22 form both sides of the equation.

\(34m=68\)

Divide both sides of the equation by 34.

\(m=2\)

Now we can evaluate \(\angle HLG\).

\(\angle HLG=9m\\m=2\\\angle HLG=9*2\\\angle HLG=18 \textdegree\)

\(8^{3} \cdot 8^{-7} =8^{-4}=\boxed{\frac{1}{8^4}}\)

Answer:

k<-10

Step-by-step explanation:

-3k+5>35

-3k+5-5>35-5

simplifica la expresión

k<-10

Answer:

height = 12 cm

Step-by-step explanation:

Parallelogram 1:

Area =  base *height = 20 * 15 = 300 sq. cm

Area of parallelogram 2 = area of parallelogram 1

25 * height = 300

       height = 300/25

height = 12 cm