In November 2010, ING Direct was offering 2.4% interest on its Orange Savings Account, with interest reinvested quarterly.† Find the associated exponential model for the value of a $3,000 deposit after t years

Answers

Answer 1
First, let's convert the nominal interest(r) into effective interest rate(i). The formula is

i = (1 + r/m)^m - 1
where m is the number of quarters in a year (m = 4)
i = (1 + 0.024/4)⁴ -1
i = 0.024217

The model would then be:
Future Worth =  $3,000(1 + 0.024217)^t, where t is the number of years

Related Questions

what are 3 consecutive integers that have a sum of 234

Answers

[tex]n+n+1+n+2=234\\ 3n+3=234\\ 3n=231\\ n=77\\ n+1=78\\ n+2=79[/tex]

77,78,79

What would you do if ST were not equal to TU when you checked the problem?

Answers

You would have made a mistake, and you should redo it. 

Which of the following is not part of the job search preparation checklist
A- self assessment
B-resume
C-fact sheet
D- follow up plan

Answers

self assessment because it doesn't help you find a job and it talk's about you

Answer:

c). Fact sheet

Step-by-step explanation:

A). Self assessment

  Self assessment is analyzing oneself or examining oneself. This is important for job search as to it provides a clear idea in our mind that what we actually want to do and want we are interested in.

B). resume

   Resume is very important in job search. It is basic bio data or a brief summary of our education and past employment experience if any. It also showcases our strength and weakness and our main objective in our life.

C). fact sheet

     Fact sheet is a list of facts or events listed in a chart and it has no connection to any job search. It may be good to have knowledge about facts but it is not necessary and compulsory for job search.

D). follow up plan

   Follow up plan is a routine check to be done when searching for jobs. Searching for vacancies, contacting the company and following up with the employer is a necessary thing in job search.

Therefore, C). fact sheet is not a part of job search preparation checklist.

Eight plus the quotient of a number and 3 is -2

Answers

8+(x\3)=-2 is the answer

Round 26502.9085923 to the nearest hundredth

Answers

26,502.9085923 rounded to the nearest hundredth is 26502.91
26502.91 ...............

A equilateral triangle is rotated around an axis bisecting the triangle. what shape is formed

Answers

A right cone. If an equilateral triangle were to be cut in half then it would form a right triangle then if this right triangle were rotated 360 degrees it would form a right cone with the diameter of the base being equal to the height of the cone.

Answer:

A right cone. If an equilateral triangle were to be cut in half then it would form a right triangle then if this right triangle were rotated 360 degrees it would form a right cone

Step-by-step explanation:

Solve for y.


d = 5x + 5y

Answers

d = 5x + 5y
5y = d - 5x
  y = (d - 5x) / 5

The solution for y of the given equation is y = (d - 5x)/ 5.

What are Arithmetic operations?

Arithmetic operations can also be specified by the addition, subtract, divide, and multiply built-in functions.

The operator that performs the arithmetic operations are called arithmetic operators.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

Given that the equation as

⇒ d = 5x + 5y

Rearrange the terms in the above equation

⇒ 5y = d - 5x

Divided by 5 both sides of the equation

⇒  y = (d - 5x)/ 5

Hence, the solution for y of the given equation is y = (d - 5x)/ 5.

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The sum of 4 consecutive even integers is 20. what are the integers?

Answers

Let first even integer = 2x
2x + 2x+2 + 2x+4 + 2x+6 = 2O
8x + I2 = 2O
8x = 8
x = I

Therefore integers are; 2, 4, 6, 8

The given four consecutive even integers are 2, 4, 6, 8

What are even numbers and  how can we write consecutive even numbers?

Even numbers are numbers which are divisible by two.

Any even number can be written as 2n , where n is any integer

If we increase n by 1 then next even number will be obtained. Then the consecutive even numbers be 2n , 2 (n+1), 2(n +2) , 2 (n+3), ....... so on.

Given that the sum of four consecutive even integers is 20

Let the four consecutive even integers are :

2n , 2(n+1) , 2(n+2), 2( n+3)

Then

⇒2n + 2(n+1) + 2(n+2) + 2( n+3) = 20

⇒ 2n + 2n +2 +2n +4 + 2n +6  =20

⇒ 8n + 12 =20

⇒ 8n = 20-12

⇒ 8n = 8

n =8/8 = 1

Therefore, the given four consecutive even integers are 2, 4, 6, 8

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Simplify 5x + 50/x+5 · 1/x+10
A. 5/x+5
B. 5x^{2}
C. x-3/x+7
D. x-2

Answers

the answer is A. 5/x+5

Collecting data from a sample that does not represent the population is called

Answers

The answer in the given statement above is sample bias, this is considered to be a sampling error because this type of technique uses a sample in which they don’t represent the population, causing error in which could be eliminated with the use of methods.

What is the r (common ratio) for the geometric sequence: -3, -15, -75, -375, -1875...

Answers

r:5. -3(5)=-15, -15(5)=-75, and so forth.

Please vote my answer brainliest. thanks!

What is negative three divided by zero fraction form should i just remove the zero?

Answers

For -3/0, anything divided by 0 is undefined, so this answer is undefined. It is undefined due to that we don't know what we have to multiply 0 by to get to 3

A rectangular field is nine times as long as it is wide. If the perimeter of the field is 1600 feet, what are the dimensions of the field?

Answers

Final answer:

The width of the field is 80 feet, and the length is 720 feet, calculated using the perimeter formula and the given ratio of length to width.

Explanation:

To determine the dimensions of the rectangular field, we need to set up two equations based on the given information that the field's length is nine times its width and that the perimeter is 1600 feet. We'll let w represent the width of the field and l represent the length.

Since the field's length is nine times its width, we can express this as l = 9w. The perimeter P of a rectangle is given by P = 2l + 2w. Since we know the perimeter is 1600 feet, we can use this to create the equation 1600 = 2(9w) + 2w, which simplifies to 1600 = 18w + 2w.

Combining like terms gives us 1600 = 20w, and solving for w gives us w = 1600 / 20, so w = 80 feet. Knowing w, we can find l by multiplying the width by 9: l = 9w = 9 × 80 = 720 feet.

Therefore, the dimensions of the field are a width of 80 feet and a length of 720 feet.

What is the length of a rectangle with area 402 ft^2
and width 12 ft?

Answers

So find area, you multiply length times width. In this case, it wants you to find length so you will do the opposite. Divide the area by the width.

402 / 12 = 33.5

So the length is 33.5 feet.

Hope this helps! :)

The length of the rectangle is 33.5 feet.

To find the length of the rectangle, we can use the formula for the area of a rectangle:

Area = length * width

Given:

Area = 402 ft^2

Width = 12 ft

Let's solve for the length:

402 ft^2 = length * 12 ft

To find the length, divide both sides by 12 ft:

length = 402 ft^2 / 12 ft

length = 33.5 ft

So, the length of the rectangle is 33.5 feet.

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Which equation represents the line that passes through the points (–3, 7) and (9, –1)?

A) y = - 2/3 x + 5
B) y = - 2/3 x - 7
C) y = 2/3 x - 7
D) y = 2/3 x - 5

Answers

slope = (7 + 1)/(-3 - 9) = 8 / -12 = -2/3

y = mx + b
7 = -2/3(-3) + b
7 = 2 + b
b = 5

equation
y = -2/3x + 5

answer
A) y = - 2/3 x + 5

The equation represents the line that passes through the points (–3, 7) and (9, –1) will be A) y = - 2/3 x + 5.

What is the slope of a line which passes through points ( p,q) and (x,y)?

Its slope would be:

[tex]m = \dfrac{y-q}{x-p}[/tex]

The slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.

The slope = (7 + 1)/(-3 - 9)

                = 8 / -12

                = -2/3

The equation of a line

[tex]y = mx + b\\7 = -2/3(-3) + b\\7 = 2 + b\\b = 5[/tex]

y = -2/3x + 5

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the sum of four consecutive integers os -18. what is the greatest of these integers?

Answers

Hello! The sum of four consecutive integers that equal -18 are -6, -5, -4, And -3. -3 is the greatest out of all of the integers and -6 is least out of all the integers. The further right on the number line, the greater it is. The further left on the number line, the lower it is.

Answer:

-3

Step-by-step explanation:

-3+(-4)+(-5)+(-6)=-3-4-5-6=-18

-3 is the greatest because the smaller the number behind the negative sign, the larger the number that's larger than that but behind a negative sign is smaller. e.g. -4 is less than -3

2x - y - 4 = 0
3x + y - 9 = 0

What is the solution set of the given system?

(A.) {(6/5, 13/5)}
(B.) {(13/5, 6/5)}
(C.) {(5, 6)}
(D.) {(6, 5)}

Answers

So to start you should get x and y on the same side and get the numbers on one side. Then you should cancel out a variable. Because both y’s are 1 and they are opposite charges they will both cancel out to 0. Then add what is remaining which is the 2x and the 3x and equal that to +9-4 which equals 5. You want x to be all by itself so you would divide both sides by 5 and get that x=1. Then you would just substitue and solve for y. Hope this helped!
2x-y=4
3x+y=9

5x=13

x=13/5

3(13/5)+y=9

39/5+y=45/5

y=45/5-39/5

y=6/5

the answer is b

Which unit rates would be appropriate for describing the rate of growth of a tree?

Select each correct answer.



inches per year

millimeters per week

milliliters per minute

miles per hour

Answers

The correct answer is:
Inches per year

Hope i helped!

The second answer is millimeters per week. You're welcome!

Which is a stretch of an exponential decay function? f(x) = 4/5(5/4)^x f(x) =4/5(4/5)^x f(x) =5/4(4/5)^x f(x) =5/4(5/4)^x

Answers

Answer:choice three

Step-by-step explanation:

Answer:

The correct option is 3. The function [tex]f(x)=\frac{5}{4}(\frac{4}{5})^x[/tex] is a stretch of an exponential decay function.

Step-by-step explanation:

The general form of an exponential function is

[tex]f(x)=ab^x[/tex]

where, a is the initial value and b is the growth factor.

If b<1, then it represents a decay function and if b>1, then it represents a growth function.

Let k be a stretch and compression factor.

[tex]g(x)=kf(x)[/tex]

If k<1, then it represents vertical compression and if k>1, then it represents vertical stretch.

In third function

[tex]f(x)=\frac{5}{4}(\frac{4}{5})^x[/tex]

[tex]k>1[/tex]

[tex]b<1[/tex]

Therefore the function [tex]f(x)=\frac{5}{4}(\frac{4}{5})^x[/tex] is a stretch of an exponential decay function.

A company bought a total of 4 1/2 feet of cable to connect 3 computers to the wall outlet. Each computer needs the same amount of cable. How many feet of cable are needed to connect each computer?A.1 1/2 ft B.1/3 ft C.1 1/3 ft D.1/2 ft please help i will mark brainliest

Answers

A1 1/2 because 4 1/2 ÷3 = 1 1/2

Answer:

A Hope this helps

Step-by-step explanation:

You have just won the lottery and will receive $1,000,000 in one year. you will receive payments for 30 years, and the payments will increase 3 percent per year. if the appropriate discount rate is 7 percent, what is the present value of your winnings?

Answers

Final answer:

The student's question involves determining the present value of annuity payments from a lottery winning, which increase over time and are discounted by a particular rate. The present value is calculated using a formula for a growing annuity, taking into account factors like the growth rate of the payments, the discount rate, and the number of periods. An example with a simple bond issue is provided to illustrate the process of calculating present value at different discount rates.

Explanation:

The student's question pertains to calculating the present value of annuity payments that increase at a fixed percentage rate over time, using a specified discount rate. This is a common exercise in finance and economics, especially related to determining the value of future cash flows given a particular rate of return (or discount rate). To solve the problem, we use the present value formula for a growing annuity.

For the lottery winnings scenario, we would calculate the present value of each individual payment and then sum them up. The first payment of $1,000,000 is received in one year, and it increases by 3 percent each year for 30 years. The discount rate is 7 percent. To analyze this, we must consider the effects of inflation and the time value of money, which is why the payments are 'discounted' back to their present value at the prevailing discount rate.

The general formula for the present value of a growing annuity is:

PV = P * [(1 - ((1 + g)/(1 + r))^n) / (r - g)]

where PV is the present value, P is the first payment, g is the growth rate of the payments, r is the discount rate, and n is the number of periods.

Using the simple two-year bond example provided, the present value calculations at an 8% discount rate are:

$240/(1+0.08) = $222.22

$3,240/(1+0.08)^2 = $2,777.78

Total present value = $222.22 + $2,777.78 = $3,000

If the discount rate increases to 11%, the new present values would be calculated using the higher rate, resulting in a lower total present value for the bond. The calculations reflect the principle that if the cost of borrowing money increases (higher discount rate), the present value of future payments decreases.

What is 64.48 rounded to the nearest whole number?

Answers

I beileive 64 cause 48 is closer to 64 than 65 so I'm pretty sure 64

Thirty-one books are arranged from left to right in order of increasing prices. The price of each book differs by $2 from that of each adjacent book. The price of the book at the extreme right is equal to the price of the middle book plus a book adjacent to the middle one. Give an expression for the cost of the $n$th book in terms of $n$.

Answers

Let the middle book cost x dollars. The book to the left costs x-2 and the one to the right costs x+2. The last book, 15 to right of the middle, costs x + 30 dollars. Let's consider two cases:
Case 1: The last book costs the same as the middle book and one to its right. Then
x + (x+2) = x + 30 
x = 28

However, this means the leftmost book costs x-30 = -2 dollars, which is unlikely.
Case 2: The last book costs the same as the middle book and one to its left. Then
x + (x-2) = x + 30
x = 32

In this case, the costs of the books are
$2, $4, $62.
The nth book costs 2n dollars.

A rectangular picture frame measures 10 cm by 12 cm. Do you want to triple the frames area by adding the same distance "x" to the length and the width. Write and solve an equation to find the value of "x". What are the new dimensions of the picture frame?

Answers

If the original frame area is x, then length*width=12*10=120=area=x. By tripling the frame's area, we get 120*3=360. However, we need to add a number x to both the length and width to equal the new area. Since length*width=area, and 10+x is the width and 12+x is the length, we get (10+x)*(12+x)=360. Expanding using the Distributive Property, we get 120+10x+12x+x^2=x^2+22x+120=360. Subtracting 360 from both sides, we get x^2+22x-240=0.Finding 2 numbers that add up to 22 and multiply to -240, we do a bit of guess and check ( we COULD use the quadratic formula too) to find 30 and -8 fit the bill. Therefore, x^2+30x-8x-240=0=
x(x+30)-8(x+30)=(x-8)(x+30). To make the expression equal to 0, since 0 multiplied by anything is 0, we have to figure out when x-8 and x+30 equal 0, which is when x=8 and -30 respectively (To do this, you could add 8 from both sides to turn x-8=0 to x=8, and something similar to -30). Plugging each one in, we get (10+(8))*(12+(8))=18*20=360. To make sure there aren't 2 solutions, we get that the new width is 10-30=-20, which clearly can't be negative , making x equal to 8. 

Use the chart to multiply the binomial by the trinomial.

What is the product?
A.y3 + 27
B.y3 – 27
C.y3 – 6y2 + 27
D.y3 + 6y2 + 27

Answers

(y + 3)(y^2 - 3y + 9) =
y(y^2 - 3y + 9) + 3(y^2 - 3y + 9) =
y^3 - 3y^2 + 9y + 3y^2 - 9y + 27 =
y^3 + 27 <==

Answer:

option (1) is correct.

the product of the binomial by the trinomial is [tex]y^3+27[/tex].

Step-by-step explanation:

Binomial is the term having two different term and trinomial  having three different terms.

Here, Binomial is [tex]y+3[/tex] and trinomial is [tex]y^2-3y+9[/tex]

We have find the product of the binomial by the trinomial.

[tex](y+3)(y^2-3y+9)[/tex]

Multiply each term of binomial with trinomial,

[tex]\Rightarrow y(y^2-3y+9)+3(y^2-3y+9)[/tex]

[tex]\Rightarrow y^3-3y^2+9y+3y^2-9y+27[/tex]

Combining like term, we get,

[tex]\Rightarrow y^3+(3-3)y^2+(9-9)y+27[/tex]

[tex]\Rightarrow y^3+27[/tex]

Thus, the product of the binomial by the trinomial is [tex]y^3+27[/tex].

Hence, option (1) is correct.


PLZ HELP I NEED HELP!!!!!

Which names are other ways to name angle 2?
Select each correct answer.

HKG

G

H

K

HGK

GHK

KGH

Answers

Well whats angle 2...?
First, I need to know what the angle looks like...

Express the set of real numbers between but not including 2 and 5 as follows.

Answers

2 < x < 5

i think this is the answer

Which statement describes the translation of . y= -1/2(x-2) ^2 from standard position? A) Moved up and to the right. B) Moved up and to the left. C) Moved down and to the left. D) Moved down and to the right. .

Answers

The answer D) Moved down and to the right is correct.

Answer:  The correct option is

(D) Moved down and to the right.

Step-by-step explanation:  We are given to select the statement that best describes the translation of the following function from the standard position.

[tex]y=-\dfrac{1}{2}(x-2)^2~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

This is an equation of a parabola.

The standard position of a parabola of this type is

[tex]y=x^2,[/tex]

where the vertex is at (0, 0). Since the coefficient of x² is positive, so the parabola opens upwards.

Now, from equation (i), we have

the vertex of the parabola is at (2, 0) and since the coefficient of x² is negative, so the parabola opens downwards.

Also, the vertex (0, 0) has been shifted to (2, 0), so the parabola is moved 2 units to the right.

Therefore, the given parabola is moved down and 2 units to the right as compared to the standard position.

The images of the given parabola (i) and the standard parabola are shown in the attached figure below.

Thus, (d) is the correct option.

how to solve for literal equations with multiple variables

Answers

See examples for the method to solving literal equations for a given variable: Solve A = bh for b. Since h is multiplied times b, you must divide both sides by h in order to isolate b. Since (c+d) is divided by 2, you must first multiply both sides of the equation by 2

The length of a rectangle is 3 times the width.the permitted of the rectangle is 72ft find the dimensions of the rectangle

Answers

Lets set up the relationship of the length to width:

l = 3w

Using this, we can make all the variables the same by substitution:

2l + 2w = perimeter
2l + 2w = 72
2(3w) + 2w = 72
6w + 2w = 72
8w = 72
w = 9

The width is 9, to the length must be 9*3, or 27.

Hope this helped!

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