$1200.00 is deposited into an account that earns 6.5% interest, which is compounded four times per year. How much money will be in the account after 6 years?

Answers

Answer 1
[tex]\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to &\$1200\\ r=rate\to 6.5\%\to \frac{6.5}{100}\to &0.065\\ n= \begin{array}{llll} \textit{times it compounds per year} \end{array}\to &4\\ t=years\to &6 \end{cases} \\\\\\ A=1200\left(1+\frac{0.065}{4}\right)^{4\cdot 6}\implies A=1200(1.01625)^{24}[/tex]

Related Questions

Five times what number plus 10 equals 20?
A) -6
B) 2
C) 4
D) 6

Answers

Answer:

2

Step-by-step explanation:

Five times 2 plus 10 will be equal to 20. Hence, option B is correct.

What is an arithmetic operation?

Addition, subtraction, multiplication, and division of two or even more integers are the four basic mathematical operations. Included among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the data provided in the question,

The equation according to the statement will be,

Let the number be x.

5x + 10 = 20

5x = 20 - 10

x = 10/5

x = 2

Therefore, the number is 2.

To know more about arithmetic operations:

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If rectangle WXYZ is slid three units to the right what will be the coordinates of point W?
A) (0, 2)
B) (3, -1)
C) (3, 5)
D) (6, 2)

Answers

The correct answer is (D) (6, 2).

To find the new coordinates of point W after sliding the rectangle three units to the right, you need to add 3 to the x-coordinate of point W.

Given the initial coordinates of rectangle WXYZ, if the point W is at (x, y), then after sliding three units to the right, the new coordinates of W will be (x + 3, y).

Therefore, the correct answer is (D) (6, 2).

a cylinder shaped paint can has a diameter of 10 cm and a height of 30. what is the volume of the paint can when it is 30% full? use 3.14 to approximate pi

WILL pick brainliest if correct!!!

Answers

V = π*r^2*h
.. = 3.14*(5 cm)^2*(0.30*30 cm)
.. = 706.5 cm^3

Subtract and polynomials (3x^2+5x+7)-(-4x^2+3x-6 please help ASAP

Answers

The answer is C.
Steps:
Rewrite Problem
Change all signs in the second parenthesis to the opposite sign
Combine Like Terms

3.6m by 1.8 m wall How many 6 cm by 6 cm pictures could fit on the wall?

Answers

(3.6*100)/6=60
(1.8*100)/6=30
60*30=1800
there are 1800 pictures could fit on the wall.

Answer:

1800 pictures could fit on the wall.

Step-by-step explanation:

If the area of a space is given as A and this space is to be filled by pictures of area A' then number of pictures will be = [tex]\frac{A}{A'}[/tex]

Now we know area of wall is A and area of picture is A'.

Length and width of wall = 3.6×1.8 m

So area of the wall A = 3.6×1.8 = 6.48 m²

Dimensions of one picture = 6×6 cm Or 0.06×0.06 m

So are of one picture A' = 0.0036 m²

Therefore, Number of pictures on the wall = [tex]\frac{A}{A'}[/tex] = [tex]\frac{6.48}{0.0036}=1800[/tex]

Number of pictures required to cover the wall = 1800

Rachael is a nurse. She earns 12 vacation days after working 768 hours. How many hours does Rachael need to work to earn 1 vacation day? Remember to include units! (Example: 12 hours)

Answers

divide 768 hours by 12 hours and u will get a answerr

The graph of y = srtqx is translated. The translation is defined by (x + 1, y – 2). Which is the graph of the translated image?

Answers

Answer with explanation:

The graph of Original function is:

      [tex]y=\sqrt{x}[/tex]

The function is translated by the rule (x+1, y-2).

After translation Point (a,b) is obtained.

a=x+1

,→x=a-1

b=y-2

→y=b+2

Substituting the value of x and y in the above function and obtaining the graph of the translated image

[tex]\rightarrow b+2=\sqrt{a-1}\\\\\text{Replacing a and b by x and y}\\\\\rightarrow y+2=\sqrt{x-1}[/tex]

Answer:

Graph B

Step-by-step explanation:

hope this helps!

(plz mark as brainliest if correct)

a/b ∙ b/2a

or a≠0, b≠0

So a/b is a fraction. Then multiply by b/2a.

The a's and the b's aren't equal to zero

Answers

b/3a
a/b*b/2a= ab/2ab or 1/a
1/a*b/2a=b/3a

Alice had 4 1/4 pounds of walnuts at the beginning of the week. At the end of the week, she had 2 3/4 pounds. How much has she used

Answers

4 1/4 is equal to 17/4, and 2 3/4 is equal to 11/4. 17/4 take away 11/4 is 6/4 or 1 1/2
17/4 (4 1/4 as an improper fraction)
11/4 (2 3/4 as an improper fraction)

17/4-11/4=6/4=1 1/2
she used 1 1/2 pounds

Robin's scores: 99, 108, 102, 107, 119 mean = 107; mad = 5.2 evelyn's scores: 125, 137, 138, 145, 145 mean = 138; mad = 5.6 explain what the mean absolute deviation is in general. explain what the mad means in the context of robin and evelyn's data.

Answers

Answer:

The MAD describes the average distance from a data point to the mean. It measures variability. For this data, it shows that Evelyn’s scores varied slightly more than Robin’s.

Step-by-step explanation:

Answer:

Sample response:  The MAD describes the average distance from a data point to the mean. It measures variability. For this data, it shows that Evelyn’s scores varied slightly more than Robin’s.

                                                       Or

The MAD measures the average distance between a data point and the mean. It measures variation. According to this information, Evelyn's scores varied a little more than Robin's.

Step-by-step explanation:

Took the test on edge! Hope this helps! have a great day!

Which ordered pair is the best estimate for the solution of the system of equations?

y=−12x+4
y=12x−3


(7.5, 0.5)

(7, 0.5)

(7, 1)

(7, 0)

Answers

The graph shows the solution to be (7, 0.5).

The 2nd selection is appropriate.

Answer:

hope this helps :)

You sell bracelets for $2 each and necklaces for $3 each at a local flea market. You collect. $95, selling a total of 37 jewelry items. How many of each type of jewelry did you sell?

Answers

16 bracelets. 21 necklaces.
Write a system of equation based on the problem
For an instance, b stands for the number of bracelets, n stands for the number of necklaces.
⇒ Total collected money is $95, $2 per bracelet, $3 per necklace
     2b + 3n = 95  (first equation)
⇒ 37 jewelry items have been sold
    b + n = 37

Find the number of necklaces (n) by eliminating the number of bracelets (b) from the equation system
2b + 3n = 95
  b +   n = 37     (multiply by 2)
----------------------------------------
2b + 3n = 95
2b + 2n = 74
---------------- - (substract)
          n = 21

Find the number of bracelets by substituting the value of n to either of the equations
b + n = 37
b + 21 = 37
b = 37 - 21
b = 16

Type of jewelry have been sold: 16 bracelets, 21 necklaces

Is my answer correct ?

I believe it’s either (B) or (C)

Answers

The answer is b (-i )
Answer is choice B) i

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

Divide 77 over 4 to get
77/4 = 19 remainder 1

The remainder 1 tells us that i^77 = i^1 = i

So in short, i^77 = i

blake is signing a lease for a studio apartment that rents for $425/month. how much will blake pay to move in if he must pay the first and last months rent and a security deposit equal to 50% of his monthly rent?

Answers

So he would have to pay the first and last months rent so you would take 425*2=850. And then 50% of 425 would be 212.50. So all together he would be paying $1062.50 to move in. I hope this helps :)

Total amount he needs to pay is $1,062.5

Sum of money based problem:

Given that;

Rent of apartment = $425 / month

Security deposit = 50% monthly rent

Find:

Total amount he needs to pay

Computation:

Total amount of rent he needs to pay = 425 + 425 + 50%[425]

Total amount he needs to pay = 425 + 425 + 212.5

Total amount he needs to pay = $1,062.5

Find out more information about ' Rent'

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A certain human red blood cell has a diameter of 0.000007 meters. Write an expression that represents this diameter, in meters in scientific notation.

Answers

7 x 10^-6 You're basically just moving the decimal place over six times until there is a whole number before the decimal.
 

Given is the diameter of a human red blood cell equal to 0.000007 meters. It says to convert and rewrite this measurement in meters in scientific notation.

A scientific notation is written as product of a significant number and exponent of 10's. To find significant number from given 0.000007, we must move decimal point in either right or left direction such that it becomes integral value and in addition we would multiply some exponent of 10's to make its value equivalent to given 0.000007 meters.

Re-writing in scientific notation :-

0.000007 meters

= [tex] \frac{7}{1000000} \;meters [/tex]

= [tex] \frac{7}{10^{6}} \;meters [/tex]

[tex] =7*10^{-6} \;meters [/tex]

So, final answer is 7 x 10⁻⁶ meters.

which best describes a number that cannot be irrational

Answers

am irrational number is a number that cannot be expressed as a fraction for any integers. numbers of the form,where is the logarithm, are irrational if and are integers, one of which has a prime factor which the other lacks.    is irrational for rational       

Answer:

All numbers that can be made by dividing two integers cannot be irrational.

Step-by-step explanation:

Irrational numbers are real number that cannot be expressed as the quotient between two integers, remember that integers are whole numbers, that is, they don't have a fractional part.

So, all numbers that can be made by dividing two integers cannot be irrational.

For example, number 3/2 is not an irrational number, because it can be expressed as the divison of two integers.

Help me please!!!!!!!!!!!!

Answers

The graph shows that x=1 and x=6 will make the factors be zero. This polynomial has factors (x -1) and (x -6).

The 2nd selection is appropriate.

the equation of the quadratic function represented by the graph is y=a(x-3)^2-1. What is the value of a?
Plz help I don't understand how to solve.

Answers

Answer:

Value of a is 2      

Step-by-step explanation:

Given the equation of the quadratic function represented by the graph is [tex]y=a(x-3)^2-1[/tex]. we have to find the value of a.

As seen in the figure, parabola cuts the graph at point (2,1) implies point (2,1) is one of the solution of the given quadratic equation i.e of given parabola.

∴  Point (2,1) satisfies the given equation.

Hence, we can find the value of a by putting the value of x and y, we get

[tex]1=a(2-3)^2-1[/tex]

⇒ [tex]2=a[/tex]

Hence, the value of a is 2

Answer:

2

Step-by-step explanation:

Have a good day :)

How many terms are in 8y+7z

Answers

Everything separated by a '+' or '-' sign separates a term so in this expression there are 2 terms
8y+7z
 there are 2 terms.
hope it helps

Write an equation in point-slope form of the line having the given slope that contains the given point. m=56m=56m (30,12)

Answers

Point-slope form is [tex]y-y_1=m(x-x_1)[/tex], where the point [tex]P(x_1,y_1)[/tex] lies on the graph and m is the slope of the graph.

We have a point (30, 12) and a slope of 56.

So we write [tex]y-12=56(x-30)[/tex]. And we're done.

In which of the following cases would you most likely buy a point when closing on a home loan?

Answers

Just took the test its d.The monthly payment is reduced by $14 and you plan to sell the home at the end of 7 years. 

Final answer:

Buying a point during a home loan closing is most likely to make sense if interest rates have fallen, you plan to stay in the home long term, and you have ample cash for upfront costs, as this could result in significant savings over the life of the loan.

Explanation:

When considering the question of whether you would most likely buy a point when closing on a home loan, the main factors to consider are the interest rates and the duration for which you plan to hold the loan. Buying a point refers to paying an upfront fee to lower your mortgage interest rate, which is attractive if you plan to stay in the home for a long period, as the savings on interest payments could outweigh the initial cost. You would be more inclined to buy a point if:

Interest rates in the economy have fallen, and you want to lock in a lower rate for the duration of your loan.

The available cash for upfront costs is sufficient to cover the cost of buying points without detrimentally impacting other financial commitments.

The assessment is that staying in the property for a long duration will allow for greater cumulated savings due to the reduced interest payments over time.

These scenarios are more likely to justify the transaction costs of purchasing a home with an upfront payment to buy points, thus securing a lower interest rate for the mortgage.

Fractions must have a common denominator in order to subtract them. TrueFalse

Answers

The answer is: True.

 The numerator of a fraction is the number that is written in the upper part of it and the denominator is the number that is written in the lower part.

 To substract fractions, they must have a common denominator. There is two cases:

 1. When the fractions have the same denominator, you just have to rewrite the denominator and substract the numerators. For example:

 8/3-1/3=(8-1)/3=7/3

 2. When the fractions have different denominators, you must calculate the Least commom multiple (LCM):

 5/2-3/4

 L.C.M.=2²=4

 (10-3)/4=7/4

Answer:

true

 A numerator of a fraction is the number that is written in the upper part of it and the denominator is the number that is written in the lower part.

The sales of homes in a new development have been increasing. In January, 8 homes were sold, in February, 12 homes were sold. In March, 16 homes were sold. This pattern continued for the remainder of the year.

What is the explicit rule that can be used to find the number of homes sold in the nth month of the year?




an=4n−4

an=−4n−4

an=4n+4

an=−4n+4

Answers

For the first month we have:
 a1 = 8
 For the second month we have:
 a2 = 12
 For the third month we have:
 a3 = 16
 Let's assume that n is the number of months.
 The rule that meets the number of homes sold is:
 an = 4n + 4
 We observe for example that for the third month: (n = 3)
 a3 = 4 (3) +4
 a3 = 12 + 4
 a3 = 16 (result that we already knew according to the statement).

 Answer:
 
an = 4n + 4

Answer:

Answer:

an = 4n + 4

Step-by-step explanation:

Vicente wants to plant 3 different types of onions in 1/4 of his garden. He will use an equal amount of space to pkant each ytpe of onion. what fraction of the total garden space will contain each type of onion

Answers

He has 1/4 of his garden to plant 3 types of onions equally in that space. Divide 1/4 by 3.

= 1/4 ÷ 3
when dividing fractions, multiply by reciprocal/inverse

= 1/4 ÷ 3/1
= 1/4 * 1/3
= (1*1)/(4*3)
= 1/12

He has 1/12 of his garden for each type of onion.

Hope this helps! :)

Denise and Stacey went to a carnival. The admission fee was $6 per person. Each ride at the carnival costs c dollars. The game booths charged g dollars for each game. Both Denise and Stacey went on 7 rides each. Stacey played 3 games, while Denise played 2 games. Which expression represents the total amount of money that Denise and Stacey spent at the carnival? 7c + 5g + 6 7c + 5g + 12 14c + 5g + 6 14c + 5g + 12

Answers

Let's first have a look at the admission fee, which is $6,- per person. 
This makes a total of $12,-
(Since 6 x 2 = 12).

Next up, the ride at the carnival. This costs c dollars.
This makes a total of 14c
(Since they have made a total of 14 rides (7 each), and we multiply it by 'c')

Finally the game boots, which costs g dollars a game.
Denise and Stacey played a total of 5 games, hence the total cost of the boots will be 5g.

The total cost will therefore be: 14c + 5g + 12
This makes the fourth answer (in your question) the correct answer.

The correct answer is D. 14c + 5g + 12.

The entry fee is $6 each. 6 + 6 = 12

Each girl goes on 7 rides which cost c dollars. 7c + 7c = 14c

The number of games both girls play totals 5. And each game costs g dollars. 2g + 3g = 5g.

Add all the costs up and you get 14c + 5g + 12 as their total cost for going to a carnival.

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 4 to 3 . If there were 2817 no votes, what was the total number of votes?

Answers

the ratio yes:no is 4:3
so if there is 2817 votes in the no
==> (2817*4)/3 = 3756 votes for yes

3756/2817 will be 4/3

What is the sum of the series?

2+4+8+16+...+512




542

766

1022

1084

Answers

the answer is 1,022 .

Answer:

The correct answer is 1,022. Hope this helps.

Source: Just took quiz and got 100%


Sasha and Mona practiced swimming every day. They increased the number of minutes of swimming every week as described below: Sasha: Practiced swimming for 10 minutes every day in the first week, 20 minutes in the second week, 40 minutes in the third week, and 80 minutes in the fourth week. Mona: Practiced swimming for 10 minutes every day in the first week, 20 minutes in the second week, 30 minutes in the third week, and 40 minutes in the fourth week. Which statement best describes the methods used by Sasha and Mona to increase the time they practiced swimming? Mona's method is linear because the number of minutes increased by an equal factor every week. Sasha's method is exponential because it increases by an equal number every week. Mona's method is exponential because it increases by a fixed factor, and Sasha's method is linear because it increases by a fixed number. Sasha's method is exponential because it increases by a fixed factor, and Mona's method is linear because it increases by a fixed number.

Answers

Final answer:

Sasha's method of increasing swimming time is exponential, doubling each week, while Mona's method is linear, adding a fixed number of 10 minutes each week.

Explanation:

The question asks about the methods Sasha and Mona used to increase their swimming practice times over several weeks. Sasha's method is exponential because each week, the number of minutes she practices doubles, which is a fixed factor of increase. Every week, Sasha's swimming time increases by a factor of 2. Therefore, her increase is exponential. Mona's method is linear because she increases her swimming time by a fixed number of 10 minutes each week. Her increments are consistent and add the same amount each time, defining a linear pattern of increase.

I need the answer to the blank questions

Answers

we have that
n 12 part a)
actual distance-------------> 124 miles
map distance----------------> 4 cms
scale factor of the map =124 miles/4 cms=31 miles/cm

n 12 part b) 
map distance=21 cms
actual distance?
[actual distance]=[map distance]*factor scale-----------> 21*(31)=651 miles

n 13) 
we know that
(13.5/9)=(x/8)--------------> x=(13.5/9)*8-----------> x=12 units

n14)
we have that
x/26=(32-x)/18-----------> 18x=832-26x--------> x=18.91 units

Graph  image 1  for  translation. one unit to the right

Answers

We use the following reflection rule:
 (x, y) = (x + 1, y)
 We have then:
 M (-3, 1) ---> M '(- 2, 1)
 O (1, 4) ---> O '(2, 4)
 P (3, -1) ----> P '(4, -1)
 Answer:
 The new vertices are
 M '(- 2, 1)
 O '(2, 4)
 P '(4, -1)
 Graph five (last from left to right) is the correct one.
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