hcf of 14 154 and 28​

a) The percent change in Jennifer's account balance each month is 2.5%.

b) Based on the future value function, A(m)= 1750(1.025)^m, the account balance is increasing because the growth factor is 1.025 and not less than 1.

A growth function is a mathematical equation that shows a constant rate in increase or growth in value of the dependent variable.

A growth function is modeled by a growth factor greater than 1 while a decay function shows a decay.

Percentage change = 2.5% (1.025 - 1)

2.5% = 2.5 ÷ 100 = 0.025

Learn more about future value functions at https://brainly.com/question/18511147.

#SPJ1

Answer:

bueno gracias por y 5 que te vaya genial el día

Answer: 2 3/4

Step-by-step explanation: 1/4 + 3/4 is 1 whole plus 1/4+1/4 would equal the 1/2 you need.

So we are up to 3/4 already. 1 3/4 + 3/4 = 2 1/2

We need to add 2 more to get to 4 1/2

So the answer would be 2 3/4

2 3/4 + 1 3/4 = 4 1/2

Answer:

The vertex is where the lines create a point. Which would make the answer (4,-1)

Step-by-step explanation:

The vertex is where the lines create a point. Which would make the answer (4,-1).

The solution is : (4,-1)  is the vertex of the absolute value function below.

In geometry, a vertex is a point where two or more curves, lines, or edges meet. As a consequence of this definition, the point where two lines meet to form an angle and the corners of polygons and polyhedra are vertices.

here, we have,

A vertex is an inflection point where a function changes its direction.

So, to answer this question, we have to find that inflection point where the absolute functions returns.

If you observe the given graph, you will see that such inflection point is at (4,-1).

That means the vertex is located in that position.

Therefore, the right answer is provided by the first choice. (4,-1)  is the vertex of the absolute value function below.

To learn more on vertex click:

brainly.com/question/12563262

#SPJ7

Answer:

959,627

Step-by-step explanation:

Just add up all the numbers to make one whole number. An easy way of doing it by just adding on the non-zero digits onto 900,000.

Take the 5 from 50,000 and add it by the 9 in 900,000 to get 950,000. Do that for every other number until all the numbers are gone and you're left with 959,627.

Answer:

$47.48

Step-by-step explanation:

Let x = the amount owed Sept.

x + x - 2.23 = 292.43  Combine like terms

2x -2.23 = 292.43  Add 2.23 to both sides

2x - 2.23 + 2.23 = 292.43 + 2.23

2x = 294.66  Divide both sides by 2

\(\frac{2x}{2}\) = \(\frac{294.66}{2}\)

x = 147.33 this is the bill for September

Oct. 147.33 -2.23 = 145.10 This is the Bill for Oct.

Total:

147.33 + 145.10 = 292.43

292.43 ÷ 3 = 97.48  This is what each will owe rounded to the nearest penny.

Answer:

The digit 6 is in the ten billions place.

It's value is 60,000,000,000

Hope it helps :)

Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

Answer:

10 ; 22

Step-by-step explanation:

Ghana = G

Cameroon = C

Cameron only = 8

Ghana only = 12

Total sampled = 40

Both Ghana and Cameroon = x

Not traveled to either = 10

Ghana only + Cameroon only + both Ghana and Cameroon + not traveled to either  = total sampled

12 + 8 + x + 10 = 40

30 + x = 40

x = 40 - 30

x = 10

Number that had gone to Ghana before :

Ghana only + both

12 + x

12 + 10

= 22

Answer:

Step-by-step explanation:

Answer:

DE

Step-by-step explanation:

D)9x + 6y = 3(3x + 2y)

E)9a + 6b + 3c = 3(3a + 2b + c)

there have the same concept

3*3x equals 9x and 3*3a is 9a

Answer:

The answer should be y = -2x + 5

Step-by-step explanation:

Subtract 4x to move it to the other side.

(2y = -4x + 10)

Then you divide both sides by 2 to get y by itself.

The given options, the only value greater than 1 is 1.003. Therefore 0.886, which is less than 1 and makes the inequality true.

The given number sentence is 5.3 × > 5.3, where we need to find the scaling factor that makes the inequality true. To do this, we can divide both sides of the inequality by 5.3. This gives us:

5.3 × x > 5.3 ÷ 5.3 × k

We need to find the value of k that makes the inequality true. Simplifying the right-hand side of the equation, we get:

5.3 ÷ 5.3 × k = k × 1 = k

Substituting this into our equation, we get:

5.3 × x > k

We know that 5.3 × 1 = 5.3, which means that k must be greater than 1 to satisfy the inequality. Among the given options, the only value greater than 1 is 1.003. However, this value would make the inequality too large, so it is not the correct answer.

The correct answer is therefore 0.886, which is less than 1 and makes the inequality true.

for such more question on inequality

https://brainly.com/question/17448505

#SPJ11

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.

The total number of periods is given as follows:

5 + 6 + 4 = 15.

The frequency of each class is given as follows:

Learn more about the concept of probability at https://brainly.com/question/24756209

#SPJ1

Answer: suppose that the region is bounded by y = x and y = 2x in the first quadrant, and the region is bounded by x = 0 and y = 2. let V_x be the volume of the solid obtained by rotating about the x-axis and let V_y be the volume of the solid obtained by rotating about the y-axis.

Step-by-step explanation:

Answer:

0.42

Step-by-step explanation:

To solve the problem, we need to add the probability of picking a club to the probability of picking a face card, and then subtract the probability of picking a club that is also a face card (because we would have counted it twice).

There are 13 clubs in a standard deck, so the probability of picking a club is 13/52 or 0.25.

There are 12 face cards (4 jacks, 4 queens, and 4 kings) in a standard deck, so the probability of picking a face card is 12/52 or 0.23.

However, there are 3 cards that are both clubs and face cards (the jack of clubs, queen of clubs, and king of clubs), so we need to subtract the probability of picking one of those cards. There are 3 of them out of 52 total cards, so the probability of picking a club that is also a face card is 3/52 or 0.06.

Therefore, the probability of picking a club OR a face card is:

0.25 + 0.23 - 0.06 = 0.42 (rounded to two decimal places).

So the answer is 0.42.

An equation that could be used to determine M, the unknown side length of the logo is X = (36/5) x M

Let's assume that the unknown side length of the logo is 'M'. The logo is a rectangle, and the area of a rectangle is given by multiplying its length and width. Since we know the length of the logo is 7(1)/(5) feet, we can write the equation:

A = L x W

where A is the area of the logo, L is the length of the logo, and W is the width of the logo.

Substituting the given values, we get:

A = (7(1)/(5)) x M

or

A = (36/5) x M

Now, we know that the area of the logo is exactly the maximum area allowed by the building owner. Let's assume this maximum area is 'X'. So, we can write another equation:

A = X

Combining both equations, we get:

X = (36/5) x M

This is the required equation that could be used to determine the unknown side length 'M' of the logo if we know the maximum area allowed by the building owner 'X'.

To learn more about equation click on,

https://brainly.com/question/28049884

#SPJ1

Answer:

Interest he earn in the 38 days total = $2458.57

Step-by-step explanation:

As given,

Rate of interest (R)= 4.25% = 0.0425

Principal (P)= $1250

Now,

Simple Interest (S.I) for 20 days = P×R×T

                                                    = 1250×0.0425×10

                                                    = 531.25

⇒Interest for 20 days = $531.25

Now,

Total amount = P + S.I = $1250 + 531.25 = $ 1781.25

As  He then makes a deposit of $450 and makes no transactions for 10 days.

⇒Total amount become = $1781.25 + 450 = $2231.25

Now,

S.I for next 10 days = 2231.25×0.0425×10

                               = 948.28125

⇒Interest for next 10 days = $ 948.28125

∴

Total amount = $2231.25 + 948.28125 = $ 3179.53125

As He withdraws $300 and makes no transactions for 8 days.

⇒Total amount become = $ 3179.53125 - 300 = $ 2879.53125

Now,

S.I for next 8 days = 2879.53125×0.0425×8

                               = 979.040625

⇒Interest for next 8 days = $ 979.040625

a.)

Interest he earn in the 38 days total = Interest in 20 days + next 10 days + next 8 days

                                                                   = $531.25+948.28125+979.040625

                                                                   = $2458.571875 ≈ $2458.57

∴ we get

Interest he earn in the 38 days total = $2458.57

Answer:

Step-by-step explanation:

ss

Answer:

this is the final answer

thankyou

Step-by-step explanation:

V=lwh

3

Answer:

I(Interest) = $6.25

Step-by-step explanation:

The formula for Simple Interest

A = P(1 + rt)

Where

A = Amount after t years

P = Principal, initial amount invested = $125

r = Interest rate = 2.5%

t = time in years = 2 years

Step I

We the interest rate to a decimal

r = R/100 = 2.5%/100 = 0.025 per year.

Step 2

A = 125(1 + (0.025 × 2))

A = $131.25

The Amount received after 2 years = $131.25

The amount of interest Sarah received after 2 years

I = A - P

I = $131.25 - $125

I = $6.25

To find the length and width of each room on the blueprint, we need to use the given scale of 1 in. : 4 ft. This means that every 1 inch on the blueprint represents 4 feet in the actual house.

To find the length and width of each room on the blueprint, we can multiply the actual length and width of each room by 1/4 (or divide by 4). This gives us:

Living room: Length = 12 ft. ÷ 4 = 3 in., Width = 8 ft. ÷ 4 = 2 in.

Kitchen: Length = 16 ft. ÷ 4 = 4 in., Width = 16 ft. ÷ 4 = 4 in.

Office: Length = 16 ft. ÷ 4 = 4 in., Width = 8 ft. ÷ 4 = 2 in.

Bedroom: Length = 20 ft. ÷ 4 = 5 in., Width = 20 ft. ÷ 4 = 5 in.

Bedroom: Length = 10 ft. ÷ 4 = 2.5 in., Width = 20 ft. ÷ 4 = 5 in.

Bathroom: Length = 16 ft. ÷ 4 = 4 in., Width = 8 ft. ÷ 4 = 2 in.

Therefore, the length and width of each room on the blueprint are:

Living room: 3 in. x 2 in.

Kitchen: 4 in. x 4 in.

Office: 4 in. x 2 in.

Bedroom: 5 in. x 5 in.

Bedroom: 2.5 in. x 5 in.

Bathroom: 4 in. x 2 in.

Learn more about width here brainly.com/question/30282058

#SPJ1

The value of each variable is:

x = 11 units

y = 11√2 units

Trigonometry deals with the relationship between the ratios of the sides of a right-angled triangle with its angles.

We can find the value of each variable using trigonometric ratios:

tan 45° = x/11 (tan = opposite/adjacent)

1 = x/11

x = 11 units

sin 45° =  9/y (sine = opposite/hypotenuse)

(√2)/2 = 11/y

y = 11/ (√2)/2

y = 11√2 units

Learn more about Trigonometry on:

brainly.com/question/11967894

#SPJ1

Answer:

x = 4 and y =5

Step-by-step explanation:

6x-3y=9

-6x+6y=6

    3y=15

   y=5

6x-15=9 or         -6x+30=6

6x=24                -6x=-24

x=4                       x=4

Answer:

x is 4, y is 5

Step-by-step explanation:

Go answer it now fast fast

A sequence of instructions that solves a problem is called an algorithm.

Answer:

167.6190 approximately 167.62 inches

Step-by-step explanation:

formula for surface area of a cone is 1/3πr×r×slant height. How this helps.

The true statement is; II. Option D

From the information given, we have that;

I. The set of all second-degree polynomials with the standard operations is a vector space

II. The set of all first-degree polynomial functions 'mx' with the standard operations is a vector space

III. The set of second quadrant vectors with the standard operations is a vector space

Note that;

Learn more about polynomials at: https://brainly.com/question/4142886

#SPJ1

The rate of change of the Distance between the planes is zero. This means that the distance between the planes remains constant throughout their respective flights.

The rate of change of the distance between the planes, we need to determine how the distance between them changes over time.

the distance between the two planes is represented by the variable D, and time is represented by the variable t.

At noon, the southbound plane starts flying and continues for 4 hours until 4 pm. During this time, the plane covers a distance of 900 km/h * 4 hours = 3600 km due south.

Meanwhile, the eastbound plane is also traveling towards the airport. It starts from a distance of 2000 km away from the airport at 4 pm.

To find the distance between the planes at any given time, we can use the Pythagorean theorem, as the planes are moving at right angles to each other. The distance D between the planes can be calculated as:

D^2 = (2000 km)^2 + (3600 km)^2

Simplifying the equation:

D^2 = 4000000 km^2 + 12960000 km^2

D^2 = 16960000 km^2

Taking the square root of both sides:

D = sqrt(16960000) km

D = 4120 km

Now, we can find the rate of change of the distance between the planes by calculating the derivative of the distance equation with respect to time

dD/dt = 0

Since the distance between the planes is constant, the rate of change is zero.

Therefore, the rate of change of the distance between the planes is zero. This means that the distance between the planes remains constant throughout their respective flights.

For more questions on Distance .

https://brainly.com/question/30395212

#SPJ8

Answer:

To multiply a mixed number by a whole number, you can first convert the mixed number to an improper fraction and then multiply it by the whole number. Here are the steps to solve 3 1/5 x 10:

Convert 3 1/5 to an improper fraction:

3 1/5 = (3 x 5 + 1) / 5 = 16/5

Multiply the improper fraction by 10:

16/5 x 10 = (16 x 10) / 5 = 160/5

Simplify the result if possible:

160/5 = 32

Therefore, 3 1/5 x 10 = 32.

The estimated raw material Inventory balance at the end of July is $27,750.

The estimated raw material inventory balance at the end of July, we need to follow the given information and calculations:

a. Each unit of finished goods requires 5 pounds of raw materials. Therefore, the total raw materials needed for production in August can be calculated as follows:

23,000 units (budgeted unit sales for September) × 5 pounds/unit = 115,000 pounds

b. The ending raw materials inventory equals 10% of the following month's raw materials production. Based on the information provided, the estimated raw materials needed to meet production in August is 111,000 pounds.

111,000 pounds × 0.10 (10%) = 11,100 pounds

This means that the ending raw materials inventory for July should be 11,100 pounds.

c. The cost of raw materials is $2.50 per pound. To find the value of the raw material inventory at the end of July, we multiply the pounds by the cost per pound:

11,100 pounds × $2.50/pound = $27,750

Therefore, the estimated raw material inventory balance at the end of July is $27,750.

To know more about Inventory .

https://brainly.com/question/10026597

#SPJ8