you hope to borrow $450,000 at 7% interest per annum compounded quarterly. You will repay the loan in one payment at the end of 3 years. calculate the amount of this loan payment.

Answer:

Manuel

Step-by-step explanation:

You should set up a proportion graph first such as r:c where r is the amount of minutes spent on resistance and c is the amount of minutes spent on cardio.

Alex's ratio: 24:30

Carisa's ratio: 15:20

Manuel's ratio: 14:15

Now you have to find the lowest common multiple (lcm) of the cardio minutes. Their lcm is 60. Now the ratios look like this:

Alex's ratio: 48:60

Carisa's ratio: 45:60

Manuel's ratio: 56:60

The ratio with the highest first number is considered larger. In this case its Manuel since he has the number 56.

The scale factor for A to B is 2 : 5.

Here, we are given that Quadrilateral B is a scaled copy of Quadrilateral A.

Quadrilateral A is as shown in the figure below.

The shortest side of quadrilateral B 5 units long.

From the figure, we can see that the shortest side of quadrilateral A is 2 units long.

Now, as the quadrilateral B is only a scaled copy of quadrilateral B, the ratio of their sides will be constant.

This means that-

Ratio of shortest side of A : Ratio of the shortest side of B = constant

and this constant is same for all corresponding sides. This constant is basically the scale factor.

Thus, scale factor = 2 : 5

Hence, the scale factor for A to B is 2 : 5

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Answer:

- 2x + 24

Step-by-step explanation:

- 3(2x - 8) + 4x ← distribute parenthesis by - 3

= - 6x + 24 + 4x ← collect like terms

= - 2x + 24 or 24 - 2x

Hey there!

-3(2x - 8) + 4x

DISTRIBUTE -3 within the parentheses

= -3(2x) - 3(-8) + 4x

= -6x + 24 + 4x

COMBINE the LIKE TERMS

= (-6x + 4x) + (24)

= -6x + 4x + 24

= -2x + 24

Therefore, your answer should be:

-2x + 24

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−31x+51+7=4

(−31x)+(51+7)=4(Combine Like Terms)

−31x+58=4

−31x+58=4

Step 2: Subtract 58 from both sides.

−31x+58−58=4−58

−31x=−54

Step 3: Divide both sides by -31.

−31x / −31 = −54 / −31

x = 54 / 31

Compound Shape

The shape of the figure attached consists on four triangles and one square.

The base of each triangle is B=12 cm and the height is H=10 cm, thus the area is:

Calculating:

The area of each triangle is 60 square cm.

Now for the square of a side length of L=12.

The area of a square of side length a, is:

Calculate the area of the square:

The total surface area is:

A = 60*4 + 144

A= 240 + 144

A = 384 square cm

Answer:

Step-by-step explanation:

D

Answer:

You are correct it is c

Step-by-step explanation:

The first three terms of the arithmetic sequence are -97, -63, and -29.

The value of x = -14.

To find the value of x and the first three terms of the arithmetic sequence, we can equate the differences between consecutive terms:

The common difference (d) is the same between all consecutive terms.

So, we have:

(5x + 7) - (7x + 1) = (2x - 1) - (5x + 7)

Simplifying the equation:

5x + 7 - 7x - 1 = 2x - 1 - 5x - 7

-2x + 6 = -3x - 8

Now, let's solve for X:

-2x + 3x = -8 - 6

x = -14

Substituting the value of X back into the expressions, we can find the first three terms:

First term: 7x + 1 = 7(-14) + 1 = -97

Second term: 5x + 7 = 5(-14) + 7 = -63

Third term: 2x - 1 = 2(-14) - 1 = -29

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Answer:

Center ( -8, 1 )

Radius ( 13 )

Answer:

5 units

Step-by-step explanation:

Calculate the distance d using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = (4, 2) and (x₂, y₂ ) = (1, - 2)

d = \(\sqrt{(1-4)^2+(-2-2)^2}\)

   = \(\sqrt{(-3)^2+(-4)^2}\)

   = \(\sqrt{9+16}\)

   = \(\sqrt{25}\)

   = 5

Answer: -3

Step-by-step explanation:

turn mixed numbers into improper fractions, simplify, and solve- see attached

Answer:

-3

Step-by-step explanation:

to find the answer first turn both numbers into improper fractions

-1 13/14 becomes -27/14

1 5/9 becomes 14/9

now multiply them

\(\frac{-27}{14} * \frac{14}{9}\)

you can cancel out the 14s

\(\frac{-27}{1} * \frac{1}{9}\)

now divide 9 to the top of the first fraction and to the bottom of the second one

\(\frac{-3}{1} * \frac{1}{1}\)

now multiply

-3/1 is your answer

that is basically -3

Answer:

Step-by-step explanation: First since the cookies are 36.44 dollars and the total spent is 102.44, use 102.44-36.44= 66 dollars

66/11=6 cupcake boxes

6 cupcake boxes + 1 cookie box = 7 boxes in total

The absolute value of the x-values of the coordinates of A and B = |2 - 5| = 3 units.

The absolute value of the y-values of the coordinates of B and C = |6 - 3| = 3 units.

If two points lie on a coordinate plane, the distance between them represents the length of the segment both points form, which is determined by finding the absolute difference between the values of their coordinates that lie on the same axis.

Given that a square has the points, A (2, 6), B (5, 6), C (5, 3), D (2, 3), its dimensions can be found as explained below:

Length of AB is found by calculating the absolute value of the x-values of the coordinates of A and B, while to find the length of BC, is the absolute value of the y-values of the coordinates of B and C.

Therefore:

AB = |2 - 5| = 3 units

BC = |6 - 3| = 3 units

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add like terms. y's and x's go with other y's and x's

Answer:

y = ax² - (3a + 3)x + 9

Step-by-step explanation:

The curve passes through 2 points: (3, 0) and (0, 9)

f(3) = 9a + 3b + c = 0

f(0) = 0 + 0 + c = 9

Therefore, c = 9, so plug this into the first equation:

9a + 3b + 9 = 0  

We cannot determine a or b but for a given a we find that

b = - 3a - 3  ⇒  -b = 3a + 3

Therefore, we can express the quadratic curve as:

y = ax² - (3a + 3)x + 9

The correct equation to calculate c is (c) 56 + 38 + c = 180

From the question, the given parameter is the triangle

The angles in the triangle are represented as

c, 56 and 38

The sum of angles in a triangle is 180 degrees

Mathematically, this statement can be represented as

Sum of angles in a triangle = 180 degrees

Substitute the known values in the above equation, so, we have the following representation

c + 56 + 38 = 180

Hence, the equation is (c)

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Answer: x=-5

Step-by-step explanation: If you multiply -6 by -t you get -30. Then you add 10 to that and get -20.

The value of x is 5.

Given this equation :  -6x + 10= -20, in order to determine the value of x, take the following steps:

Combine similar terms: -6x = -20 - 10

Add similar terms

-6x = -30x

Divide both sides of the equation by 6

x = 5

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Yes, we can find the equation of the best fitting line given the information provided.

Since all the points lie perfectly on a straight line going uphill, we know that there is a perfect linear relationship between x and y. Therefore, we can use the method of least squares to find the equation of the best fitting line.

The method of least squares involves finding the line that minimizes the sum of the squared distances between the observed data points and the predicted values on the line.

Given that the mean of x and the mean of y are both 2, we know that the line must pass through the point (2,2).

Since the standard deviations of x and y are exactly the same, we know that the slope of the line must be 1 (i.e., a unit increase in x corresponds to a unit increase in y).

Using the "5 number" approach, we can also find the equation of the line by calculating the correlation coefficient (r) between x and y. Since all the points lie perfectly on a straight line going uphill, the correlation coefficient will be either 1 or -1. In this case, since the line goes uphill, we know that the correlation coefficient must be 1.

Therefore, the equation of the best fitting line is y = x, or in slope-intercept form, y = 1x + 0.

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Answer:

D. Graph 4 In an account with 250$ balance that accrues 2% annually, with no deposits or withdrawals, it takes 6 years and 6 months for the balance to be 282$

Step-by-step explanation:

if the balance accrues 2% annually, then that means every year the amount increases by 100% + 2% = 102%

102%= 102/100 = 1.02

if we multiply the balance in the account with 102% or by 1.02 at the beginning of each year we will get the amount accrued at the end of the year

First year: $250 x 1.02 = $260.1

Second year: 260.1 x 1.02 = $265.302

Third year: 265.302 x 1.02 = $270.60802

we can use these points to create a graph that will help us estimate at what year the amount will be 282$

Answer:

D

Step-by-step explanation:

Answer:

2x - 3 = 11

x = -21

Step-by-step explanation:

Answer:

\(\tan T \approx 1.28\)

Step-by-step explanation:

\(\tan T=\frac{7}{\sqrt{30}} \approx 1.28\)

After solving the equations, we know that a total of 25 ladies attended the party.

A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.

As in 3x + 5 Equals 15, for instance.

Equations come in a variety of forms, including linear, quadratic, cubic, and others.

So, take dudes as x and ladies as y.

Now, form the required 2 equations as follows:
2x + y = 45 ...(1)

x + y = 35 ...(2)

Work on equation (2):

x + y = 35

x = 35 - y

Now, substitute x = 35 - y in equation (1):

2x + y = 45

2(35-y) + y = 45

70 - 2y + y = 45

-y = -25

y = 25

Since ladies were charged $1 for each ticket, then 25 ladies attended the party.

Therefore, after solving the equations, we know that a total of 25 ladies attended the party.

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Answer:

x+y-13

Step-by-step explanation:

A polynomial with three terms is called a trinomial.

rate brainliest if very helpful

Answer:

64 times bigger

Step-by-step explanation:

I will use random values for this explanation to make it more understandable.

Lets say the length of the box is 1 inch, width is 1 inch, and height is 1 inch.

The volume would be l*w*h = 1*1*1 = 1 cubic inch

If the dimensions were 4 times bigger, the length, width and height would all be 4 inches.

4*4*4 = 64 cubic inches, which is 64 times bigger than the smaller box with a volume of 1 cubic inch.

Hope this answer helped! :)

\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5\\ h=3 \end{cases}\implies V=\pi (5)^2(3)\implies V\approx 236~ft^3\)

Answer:

236 ft^3

Step-by-step explanation:

Base radius = 5 ft

Height = 3 ft

Volume =   πr^2h

              =  π × 5^2 × 3

              =  75π

               =  235.61944901923 feet^3

Nearest Cubic Foot = 236 ft^3

Nearest Cubic Foot:

Hence Answer is:

236 ft^3

Hope this helps!

The polynomial that represents the area of the shaded region is given as follows:

x² - 3x + 36.

The area of a rectangle is given by the multiplication of the width and the length of the triangle, as follows:

A = lw.

For the entire region, the area is given as follows:

A = (x + 1)(x + 1)

A = x² + 2x + 1.

The area of the white region is given as follows:

Aw = 5(x - 7)

Aw = 5x - 35.

Then the area of the shaded region is given as follows:

As = A - Aw

A = x² + 2x + 1 - (5x - 35)

A = x² + 2x + 1 - 5x + 35

A = x² - 3x + 36.

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Answer:

2600This is a probability conversion problem.

For $22.69 dollars I can ride the scooter for 179 minutes.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given, A scooter ride has a starting fee of $3 and then 11 cents per mile.

Assuming with $22.69 I can ride x no. of minutes.

∴ 0.11x + 3 = 22.69.

0.11x = 19.69.

x = 19.69/0.11.

x = 179 minutes.

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