PLS HELP

SET UP THE EQUATION NEEDED TO SOLVE:

You place $700 in a bank to be compounded quarterly at 5%. How long will it take for the account to be worth $1500 if no additional
money is added?

A 1500 = 700 (1 + .05/4) ^4x
B 1500 = 700 (1 + .05/4) ^x
C 1500 = 700 (1 + 5/4) ^4x
D 1500 = 700 (1 + .05) ^4x

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Compound Interest Formula :

A = P (1 + r/n)^(nt)A = amount with interestP = Principal amountr = rate (in decimal)n = amount of times compoundedt = number of years

Here, we are given :

P = 700r = 5% = 0.05n = 4 (quarterly means 4 times a year)A = 1500

Substituting the given values and taking x in place of t :

1500 = 700(1 + .05/4)^4xOption A

Related Questions

448,224,112 help me please

Answers

Answer:

2

Step-by-step explanation:

448 ÷ 224 = 2

224 ÷ 112 = 2

Hope this helps and have a nice day :)

You ride your bike north for 100 m at a constant speed of 5 m/Your acceleration is ?

Answers

given:

100 m at a constant speed of 5.

to find:

the acceleration.

solution:

[tex]a = \frac{v - u}{t} [/tex]

[tex]a = \frac{100 - 100}{5} [/tex]

[tex]a = 0.00m | {s}^{2} [/tex]

I need help, pleasee

Answers

Answer:

Option B (Lucy says to multiply 4 x 4 = 16 because 2 x 4 = 8.) is the solution.

Step-by-step explanation:

Let's have a look at the image they've provided. (The identical picture is shown below. )

[tex]\left[\begin{array}{cc}2&8\\4&?\\5&20\end{array}\right][/tex]

Do you see a pattern here? Concentrate on the second row rather than the first. Both integers are multiplied by four, therefore 4 x 4 must be multiplied.

[tex]2 *4= 8\\5*4 = 20[/tex]

This indicates that option B is the right response. (Lucy says to multiply 4 x 4 = 16 because 2 x 4 = 8.)

Hope this helps! :D

Sample :

https://brainly.com/question/6994919

Dividing a decimal number that is ________ than 1 gives a quotient that is larger than the dividend.

Answers

Answer:

Suppose we want to divide 3 by 2.

By Long Division we first write 1 as the first digit as the quotient, then we subtract 2 from 3, then we add a zero to the remainder 1, and then add a decimal point after the quotient 1, then write 5 after the decimal point, getting the quotient as 1.5

I know it is indeed right as we can verify. But why do we add a zero and the decimal point in the quotient?

Thank you.

Answer:

less

Step-by-step explanation:

Dividing a decimal number that is less than 1 gives a quotient that is larger than the dividend.

For example :

Take 3/0.3 :

⇒ 3 / 0.3

10

10 is greater than the dividend 3.

What kind of shape is this? O A. Quadrilateral B. Not a polygon O C, Triangle O D. Pentagon​

Answers

Answer:

C

Step-by-step explanation: It has three sides

Daniel is trying to pick out an outfit for the first day of school. He can choose from 4 pairs of pants, 3 t-shirts, and 3 pairs of shoes. How many different outfits does Daniel have to choose from?

Answers

Daniel has 36 different outfits to choose from.

4 • 3 • 3 = 36

Select True or False, for each statement.
1. Angle C has the same measure as angle C'.

2. Side CF is shorter than side C'F.

3. Trapezoid CDEF and trapezoid C'D'E'F' have the same perimeter.
true or false?

Answers

1. Is false
2 is true
3 is false

Estimate the difference of the decimals below by rounding to the nearest
whole number. Enter your answer in the space provided.

53.042
-3.350
————

Answers

Answer:

50

Step-by-step explanation:

53.042 -3.350 = 49.692---> 50

Answer:

50

Step-by-step explanation:

53.042 rounds down to 53

3.350 rounds down to 3

53

- 3

___

50

checking work:

53.042

- 3.350

————

49.692 (work below) which rounds up to 50

matches !

Enter the value for x that makes the equation -4 (5 - x) + 7x = 189 true.

Answers

Answer:

x=19

Step-by-step explanation:

-4 (5 - x) + 7x = 189  Distribute

4x-20+7x=189   Combine Like Terms

11x-20=189 Add 20 To Both Sides

11x=209 Divide By 11

x=19

can you please help?

Answers

(-3,4) (-1,4) (-3,7) are the co ordinates

Find S20 given

a,=3 and d=-5

Answers

Step-by-step explanation:

Sn=n(2a+(n-1)d)

2

S20=20(2x3+(20-1)x-5)

2

S20=10(6+19x-5)

S20= 10(6-95)

S20=10x-89

S20=-890

Hope this helps you

Have a nice day

Please help, I'm not understanding this, I will give brainliest to the person who helps answer and maybe explain :)


the best way to put the solution is to say
1 to 3/5 * 5/9 to 1/3 or something like that, that was just an example ​

Answers

Step-by-step explanation:

all the tasks are the same type and have the same way of solution.

Example №1:
9[girls] + 11[boys]=20 persons. Then the probability to choose the first boy is: 11/20. After this choice, 9[girls]+10[boys]=19 persons. Then the probability to choose the 2-d boy is: 10/19. The final required probability is: 11/20 * 10/19 = 11/38.

P.S. all the details are in the attachment.

P.P.S. the suggetsted way is not the only one.

Length of the side of regular hexagon is a. The sum of all diagonals is:​

Answers

Answer:

6a

Step-by-step explanation:

hexagon has 6 sides(im pretty sure lol), and 1 side is a. so 6 sides must be 6a

A car is on a spinning carnival ride with a radius of 25 ft. to the nearest foot, how far does the car travel over an angle of 2pi/3 radians?

Answers

The distance that the car travel over an angle of 2pi/3 radians is 52.3 feet

How to find the length of an arc.

The formula for calculating the length of an arc is expressed as:

L = r theta

Given the following parameters

r is the radius. = 25ft

theta is the angle subtended = 2pi/3 radians

Substitute

L = 25 * 2pi/3
L = 50pi/3
L = 52.3 feet

Hence the distance that the car travel over an angle of 2pi/3 radians is 52.3 feet

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Consider this figure. 11 1/2 in 10 in 20 in​

Answers

OK 11 divaide 20= 220 divaide 10 = 2.200

Sketch a graph of the polynomial function f(x) =x^3+4x^2+3x. Use it to complete the following:
f is on the intervals (-00, -3) and (-1,0).
f is on the intervals (-00, -2 and (-0,5, 00).

Answers

The value of the function is zero at negative 3, negative 1, and zero. And the graph of the function is given below.

What is a function?

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

Sketch a graph of the polynomial function given below.

[tex]\rm f(x) =x^3+4x^2+3x[/tex]

Use it to complete the following:

Then the factor of the polynomial will be

f(x) = x³ + 4x² + 3x

f(x) = x(x² + 4x + 3)

f(x) = x(x² + 3x + x + 3)

f(x) = (x)(x + 3)(x + 1)

The graph of the function is given below.

Then the value of the function is positive in the interval of (-3, -1) and the value of the function is negative in the interval of (-1, 0)

More about the function link is given below.

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1.Does the relationship between number of people and the bill appear to be weak, moderate or strong?

2.Does the relationship between number of people and the bill appear to be linear?

3.The equation of the line of best fit is Bill = 5.80 + 11.15 · People. (y=5.80+11.15x) Sketch this line on the scatterplot.

4.Interpret the slope of the line of best fit in the context of this problem.

5.Note that the points in the scatterplot do not all lie on the line. What could explain this variability?

6.Use the equation of the line of best fit to estimate how much would you predict the bill to be for a party of 8?

7.There was one party of 8 whose bill was $82.50. Did they pay more than or less than the predicted amount? How much more or how much less did they pay?

Answers

The relationship depicts to be fairly strong and also linear as the points on the graph doesn't move far from a line.

What is the relationship about?

The interpretation of the slope of the line of best fit in the context of this problem is that the additional person added to the party will bring or add about $11.15 to the bill above.

The variability can be shown or explained by the differences that are seen in what the parties in the graph has ordered to eat or drink.

Since the party of 8 paid were said to have paid (95 - 82.50 =12.50) therefore, 12.50  is known to be less than the predicted amount.

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an angle is 10 degrees more than 3 times the measure of its compliment. find the measure of both angles

Answers

Answer:

20° and 70°

Step-by-step explanation:

complimentary angle sum to 90°

let x be the compliment then the angle is 3x + 10 , so

x + 3x + 10 = 90 , that is

4x + 10 = 90 ( subtract 10 from both sides )

4x = 80 ( divide both sides by 4 )

x = 20

3x + 10 = 3(20) + 10 = 60 + 10 = 70

the 2 angle measures are 20° and 70°

What is the cubed root of 1331

Answers

Answer:

Step-by-step explanation:

∛(1331)

∛11*11*11  = 11

Thomas is taking out a business loan of $20,000 over 5 years. He is given an APR of 6.12% he would like his monthly payments to not exceed $350 a month. Looking at the first few rows of the amortization table below, will his monthly payment be below $350 ? How much over/ under will hi actual payments be from his goal of $350? How much over/ under will his actual payments be from his goal of $350 per month?

Answers

1. Thomas' monthly payment for the loan exceeds $350.

2. An excess monthly payment of $37.77 exists.

3. Thus, the actual monthly payment is $387.77.

What is interest?

The interest is the finance charge for the loan, representing the cost of the time value of money.

The interest and the monthly payments can be calculated using an online finance calculator as follows:

Data and Calculations:

Business Loan = $20,000

Down Payment = 0%

Loan Term = 5 years or 60 months (5 x 12)

Interest Rate = 6.12%

 

Monthly Mortgage Payment = $387.77

Total of 60 Mortgage Payments = $23,266.38 ($387.77 x 60)

Total Interest = $3,266.38

Thus, Thomas' actual monthly payment is $387.77.

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Which of the following rational functions is graphed below

Answers

Answer:

The answer should be A.

Step-by-step explanation:

It is A because you need to do first is to find the vertical asymptote first and the horizontal asymptote second for the function.

The area of a rectangular piano is 5 5/8 square yards, it's length is 1 1/2 yards. what's the patios width in yards.
pls show work ​

Answers

Answer:

3 3/4 yards

Step-by-step explanation:

The area of a rectangle can be found by multiplying length * width. Since we have the area of the patio and the length, all we need to do to find the width is divide 5 5/8 (area) / 1 1/2 (length) =3 3/4 yards (width).

To check if this is correct, we can solve 1 1/2 * 3 3/4 = 5 5/8 yards.

Hope this helps!

A local video store has two new renting plans. Plan A charges a $10 monthly fee and $2 for every movie rented. Plan B charges $40 per month but then each movie rented is only 25¢. How many movies must be rented in a month to make plan B the cheaper option?

Answers

Answer:

18 or 17

Step-by-step explanation:

Plan a= 2x + 10

plan b=  .25x + 40

2x + 10 = .25 + 40

       1.75x=30

x=17.14

what is 56x3/4
please help

Answers

Answer:

40 1/2 or 40.5

Step-by-step explanation:

i used a calculator

determine (algebraically) if the given function is EVEN or ODD show your work.
f(x)= -13x^2+15

Answers

Answer:  Even

======================================================

Explanation:

[tex]f(x)= -13x^2+15\\\\f(x)= -13x^2+15*1\\\\f(x)= -13x^2+15x^0\\\\[/tex]

Each term of the polynomial function has an exponent which is an even number, therefore the function is even.

-------------

Another approach:

[tex]f(x)= -13x^2+15\\\\f(-x)= -13(-x)^2+15\\\\f(-x)= -13x^2+15\\\\[/tex]

Since f(x) = f(-x) for all x, this proves the function is even.

Answer: Even.
Have a good day

Solve for D: 48 = 12D - 30 + 6D. Round to nearest hundredths if applicable!

Answers

Answer:

D = 4.33

Step-by-step explanation:

⇒ 48 = 12D - 30 + 6D

⇒ 48 = 18D - 30

⇒ 18D = 78

⇒ D = 78/18

⇒ D = 26/6

⇒ D = 13/3

⇒ D = 4.33

The requried simplified value of the given expression is D = 4.33.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

What is rounding of values?

The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.

Here,
48 = 12D - 30 + 6D

Simplify,
48 = 18D - 30
D = 78 / 18
D = 4.33

Thus, the requried simplified value of the given expression is D = 4.33.

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If g(x) = 2x + 1, what is the value of g-1(g(12))?

Answers

Answer:

-22x-11

Hope this helped you, and have a good day!

Give the steps you would use to find the solutions to the system of equations, then name the solutions. you may solve this graphically or algebraically
y=2x^2-6x+1
y=-x+1

Answers

We have found one solution to the equations that the two equations intersect at the point (2.5,-1.5).

What are equations?

The equation is actually a relationship between the numbers and the variables. In this question we have two equations y=2x²-6x+1 and y=-x+1 so by equating them we can find the value of x which is the intersecting point of the two lines.

Now the solution of the equations:-

y=2x²-6x+1

y=-x+1

2x²-6x+1 = -x+1

2x²=5x

x=5/2=2.5

y=-2.5+1=-1.5

Hence the one solution to the equations that the two equations intersect at the point (2.5,-1.5).

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A ladder is leaning against a house at an angle of 35° at the roof line. The base of the ladder is 8 feet from the house. How long is the ladder to the nearest whole foot? Use a calculator if needed.

A. 27 feet

B.43 feet

C. 8 feet

D. 14 feet

E. 35 feet

Answers

Answer:

D

Step-by-step explanation:

Remark

What you are trying to solve for is the hypotenuse of a right triangle. You will use the sine to do it.

Givens

Base = 8 feet

angle = 35 degrees

hypotenuse = ?

Formula

Sin(35) = base / hypotenuse

Solution

Sin (35) = 8 / hypotenuse                Multiply both sides by the hypotenuse

hypotenuse * sin(35) = hypotenuse * 8/hypotenuse

hypotenuse * sin(35) = 8                  Divide by sin(35)

hypotenuse = 8/sin(35)                    Substitute value of sin(35)

hypotenuse = 8 / 0.5736

hypotenuse = 13.94

Answer

The ladder is about 14 feet long or D

Find the number...
3/8 of it is 24

Answers

I believe the answer is 9.
if we wanted to find out what 3/8 of 24 is, we would divide 24 by 8 (the denominator of the fraction). We would now multiply this result by 1 (the numerator of the fraction). So, 3/8 of 24 is 9
So it will be 9
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