convert into km/h

125cm/s

The amount paid back when the loan is paid in full at the end of that period will be $77,546.3.

Given that:

Principal, P = $35,000

Rate, r = 7.5% or 0.075

Time, n = 11 years

The amount (A) is calculated as,

A = P(1 + r)ⁿ

If the loan is paid in full at the end of that period, then the amount paid back is calculated as,

A = $35,000 x (1 + 0.075)¹¹

A = $35,000 x (1.075)¹¹

A = $35,000 x 2.2156

A = $77,546.3

More about the compound interest link is given below.

https://brainly.com/question/25857212

#SPJ1

Answer:

Step-by-step explanation:

8 more= +8

twice a number = 2x
difference between the number and 5=

2x+8=4x(5-x)
2x+8=9x-x
2x+8=8x
8=8x-2x
8=6x
x=6/8
x=3/4

Answer:

Step-by-step explanation:

No, the equation cannot be written with the given information. The distance from the catapult when the watermelon reached the maximum height is needed. Since the watermelon did not start on the ground, it cannot be assumed that the maximum was reached half the distance to the landing point.

The Cobb-Douglas utility function satisfies the properties of local non-satiation, decreasing marginal utility for both goods, quasi-concavity, and homotheticity.

The Cobb-Douglas utility function u(x1, x2) = xi^(α) * x2^(β), where α and β are both greater than zero, satisfies the following properties:

(a) Local non-satiation:

This property states that at each point of the consumption set, there is always another bundle that is arbitrarily close and strictly preferred. Thus, the function has local non-satiation.

(b) Decreasing marginal utility for both goods 1 and 2: The marginal utility of a good measures the utility obtained by consuming one more unit of it. The marginal utility of x1 can be obtained as:

MU1 = α * xi^(α−1) * x2^(β)

The marginal utility of x2 can be obtained as:

MU2 = β * xi^(α) * x2^(β−1)

Therefore, both marginal utilities are decreasing in x1 and x2, satisfying this property.

(c) Quasi-concavity:

The Cobb-Douglas function is quasi-concave. This means that the upper contour set of any level set of the function is convex. This can be proved by taking the second partial derivative of the function and checking whether it is negative or not.

(d) Homotheticity:

The Cobb-Douglas function is homothetic. This means that its shape is independent of the total level of utility. The proof can be achieved by checking whether the function is homogeneous of degree one or not. This is true, since multiplying the inputs by any positive scalar λ leads to a proportional increase in the output.

In conclusion, the Cobb-Douglas utility function satisfies all four properties - local non-satiation, decreasing marginal utility for both goods 1 and 2, quasi-concavity, and homotheticity.

Learn More About marginal utility from the below link:

https://brainly.com/question/15050855

#SPJ11

Answer:

Step-by-step explanation:

20 problems

correct=+4

false=-1

unanswered=0

Uncorrectly:5 => -5

unanswered:2 =>0 points

20x4=80 points in total(only correct awnsers)

=>20-5+2=13 correct awnsers

13x4=52

52-5=47

It will be nice if you give me brainliest. Good luck!

Answer:

Step-by-step explanation:

20?

Answer:

Step-by-step explanation:

\(Rachel's \ share = \dfrac{2}{5}*600 \\\\\\\)

                       = 2 * 120

                       = £240

Remaining amount after giving Rachel's share = 600 - 240 = £360

\(Samina's \ share = \dfrac{1}{4}*360\)

                          = £90

Tom's share = 360 - 90  = £270

No, Tom's answer is wrong.

If they are sharing equally, 600 should be divide by 3.

600 ÷ 3 = £200 which less than £270.

Answer:

The distance between the two points is approximately 11 units

Step-by-step explanation:

Here, we are to give the distance between the given two points to the nearest whole number;

To calculate the distance, we shall be using the distance formula;

D = √(x2-x1)^2 + (y2-y1)^2

(x1,y1) = (5,6)

(x2,y2) = (1,-4)

D = √(1-5)^2 + (-4-6)^2

D = √((-4)^2 + (-10)^2

D = √(16+100)

D = √(116)

D = 10.77 units which is approximately 11 units

Answer:

|-9| is greater.

Step-by-step explanation:

|-9| = 9

Answer:

a7 = 1/243

Step-by-step explanation:

The formula for the nth term of a geometric series is

\(a_{n}=a_{1}r^n^-^1\), where a1 is the first term, r is the common ratio, and n is the position of the term (e.g., 6th or 3rd).

First, we need to find the common ratio.  

We can find it by dividing the second term (1) by the first term (3):

\(r=\frac{a_{2} }{a_{1} }=\frac{1}{3}\)

Since we already know a1 and r, we simply substitute 7 for n to find the 7th term:

\(a_{7}=3*\frac{1}{3} ^7^-^1\\a_{7}=3*\frac{1}{3}^6\\ a_{7}=3*\frac{1}{729}\\ a_{7}=\frac{1}{243}\)

Answer:

In a triangle, the sum of the interior angles is 180 degrees. So, we can set up the following equation:

72° + (x+4)° + A = 180°

where A is the measure of the third angle in the triangle.

Simplifying the equation, we get:

(x+4)° + 72° + A = 180°

x + 76° + A = 180°

Subtracting 76° from both sides, we get:

x + A = 104°

Therefore, an equation that can be used to find the value of x is x + A = 104°, where A is the measure of the third angle in the triangle. Note that we do not have enough information to solve for x or A individually, but we can use this equation to relate the two angles in the triangle.

There are 69300 possible ways of selecting six bottles randomly with two bottles of each variety.

Probability is a branch of mathematics concerned with numerical descriptions of how likely an event is to occur or how likely a statement is to be true. In the given question, we have to select 6 bottles randomly with two bottles of each variety,

= ¹⁰C₂× ⁸C₂ × ¹¹C₂

¹⁰C₂= [1 × 2 × 3 × 4 × 5 × 6 × 7 × 8 × 9 × 10] / [(1 × 2)(1 × 2 × 3 × 4 × 5 × 6 × 7 × 8)]

= 90/2

= 45

Similarly,  ⁸C₂  = 28

In the same way ¹¹C₂= 55

= ¹⁰C₂× ⁸C₂× ¹¹C₂

= 45 × 28 × 55

= 69300

Therefore, there are 69300 possible ways of selecting 6 bottles with two bottles of each variety.

For further information regarding Random probability, click the link below:

brainly.com/question/27579447

#SPJ4

Answer is that Mr mole goes 3 each minute for each minute add on those 3 as you add on those 3 write it down counting how many then you know the time and the meters hes been digging

Answer:

(-2/7,2/3)

Step-by-step explanation:

Let's solve for x.

−7x+3y=2

Step 1: Add -3y to both sides.

−7x+3y+−3y=2+−3y

−7x=−3y+2

Step 2: Divide both sides by -7.

−7x/ −7 = −3y+2/ −7

x= 3/ 7 y+ −2/ 7

Answer:

x= 3/ 7 y+ −2/ 7

Let's solve for y.

−7x+3y=2

Step 1: Add 7x to both sides.

−7x+3y+7x=2+7x

3y=7x+2

Step 2: Divide both sides by 3.

3y/ 3 = 7x+2/ 3

y= 7/ 3 x+ 2/ 3

Answer:

y= 7/ 3 x+ 2/ 3

Answer:

a. y=x^2

Step-by-step explanation:

desmos graphing calculator

Step-by-step explanation:

(4x² + 3y) by (3x² - 4y)

(4(1)² + 3(2)) by (3(1)² - 4(2))

(4 + 6) and (3 - 8)

10 x (-5) = -50 or 50 if negatives aren't an option

Answer:

22

Step-by-step explanation:

(4×1²+3×2) × (3×1²-4×2)

(16+6)×(9-8)

22×1=22

Answer:

a. direct

Step-by-step explanation:

direct variation is y = kx and y = -2/5x is written in direct variation.

Answer:

10

Step-by-step explanation:

2, 9, 10, 4, 8, 4, 12

Put the data from smallest to largest

2, 4 , 4, 8,9, 10 ,12

The range is the largest number minus the smallest number

12 - 2 = 10

26 square feet is the exact surface area of the composed figure with two cones.

The composed figure has two cones.

The formula to find the surface area of cone is A=πr(r+√h²+r²))

Where r is radius and h is height of the cone.

Both the cones have radius of 1 ft and height of 2ft and 4 ft.

Area of cone 1=3.14×1(1+√4+1)

=3.14(1+√5)

=10.16 square fee

Area of cone 2=3.14×1(1+√16+1)

=3.14(1+√17)

=16.01square feet.

Total surface area = 10.16+16.01

=26.17 square feet.

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

#SPJ1

A number line is a graphical representation of numbers in a linear format. It is a useful tool to help visualize the relative positions of numbers, especially fractions.

To place the fractions 2/3, 1/10, and 7/8 on a number line, we need to first identify their relative positions in terms of magnitude.

Starting at 0 on the number line, we can place 1/10 to the right of 0, followed by 2/3 and then 7/8, in order from left to right. Since 2/3 is greater than 1/10 but less than 7/8, it is placed between these two fractions on the number line. The resulting number line would show the relative positions of these three fractions in relation to each other and to the whole numbers. This can help in comparing and ordering fractions, as well as in visualizing their relative magnitudes.

1/10 = 0.1

2/3 = 0.667

7/8 = 0.875

Learn more about fractions :

https://brainly.com/question/10354322

#SPJ1

Step-by-step explanation:

i thank the answer is 10.5 thanks for your question

If a 12-ft-by-15-gt rectangular swimming pool has a 3-ft-wide no-slip surface around it. The outer perimeter of the no-slip surface around the rectangular swimming pool is 78 feet.

The key idea in this problem is to recognize that the no-slip surface around the pool consists of a rectangular strip of uniform width that runs parallel to the edges of the pool. To find the outer perimeter of this strip, we need to add up the lengths of all four sides of the rectangle formed by the outermost edges of the no-slip surface.

Let's start by finding the length of the no-slip surface that runs along the length of the pool. Since the pool is 12 feet long and the no-slip surface extends 3 feet beyond each end of the pool, the total length of the no-slip surface is:

12 + 2(3) = 18 feet

The "2(3)" term in this equation represents the 3-foot-wide extension on each end of the pool. Next, we need to find the length of the no-slip surface that runs along the width of the pool. Since the pool is 15 feet wide and the no-slip surface extends 3 feet beyond each side of the pool, the total width of the no-slip surface is:

15 + 2(3) = 21 feet

Now we have the lengths of the two parallel sides of the rectangle formed by the outermost edges of the no-slip surface. To find the lengths of the other two sides, we simply add up the lengths of the corresponding sides of the pool.

Therefore, the length of the rectangle is 12 + 2(3) = 18 feet, and the width of the rectangle is 15 + 2(3) = 21 feet.

Finally, we can add up the lengths of all four sides of the rectangle to find the outer perimeter of the no-slip surface:

2(18) + 2(21) = 36 + 42 = 78 feet.

To learn more about perimeter click on,

https://brainly.com/question/28944979

#SPJ4

The distance covered by the scooter during the 6-hour time period is 540 km.

A scooter travels along a straight line at a constant speed of 90 km/h for a time period of 6 hours. We need to calculate the distance covered by the scooter during this time.

To calculate the distance covered, we can use the formula:

Distance = Speed × Time

In this case, the speed is provided as 90 km/h, and the time is provided as 6 hours.

Plugging in these values into the formula, we get:

Distance = 90 km/h × 6 hours

Multiplying the speed and time, we have:

Distance = 540 km

To know more about distance refer here:

https://brainly.com/question/31713805#

#SPJ11

Answer: Switch x and y

A function assigns the value of each element of one set to the other specific element of another set. The correct option is C.

A function assigns the value of each element of one set to the other specific element of another set.

To find the inverse of f(x) = 3x - 10, Jenna begins by replacing f(x) with y. The next step is to Switch x and y. And further, solve the equation for x.

Hence, the correct option is C.

Learn more about Function:

https://brainly.com/question/5245372

#SPJ2

Safety data sheets (SDS) are not only required when there are 10 gallons. This statement is false. SDS, also known as material safety data sheets (MSDS), are required for hazardous substances, regardless of the quantity.

Safety data sheets provide detailed information about the potential hazards, handling, and emergency measures for substances. They are required under various regulations, such as the Occupational Safety and Health Administration (OSHA) Hazard Communication Standard (HCS) in the United States.

The quantity of the substance does not determine the need for an SDS. For example, even if a small amount of a highly hazardous substance is present, an SDS is still necessary for safety reasons.

SDS help workers and emergency personnel understand the risks associated with a substance and how to handle it safely. It is essential to follow proper safety protocols and provide SDS for hazardous substances, regardless of the quantity.

To know more about Protocols visit.

https://brainly.com/question/28782148

#SPJ11

Answer:

Step-by-step explanation:

6x = 54

x = 54 /6

x=9

therefore value of x is 9

Answer:

6x=54 if x =9 because 54/6 equals nine

Step-by-step explanation:

Answer:

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you know two points that a line passes through, this page will show you how to find the equation of the line.