13,500 deposit earning 3.3% compound monthly after 1 year

Answers

Answer 1

Answer:

$13,952.30

Step-by-step explanation:

refer to attached graphic

the formula for compound interest is given as

A = P [ 1 + (r/n) ] ^ (nt)

where

A = final amount (we are asked to find)

P = principal amount = $13,500

r = rate = 3.3% = 0.033

n = 12 (compounded monthly)

t = 1 year

substituting these values into the equation

A = 13500 [ 1 + (0.033/12) ] ^ [(12)(1)]

A = 13500 [ 1 + 0.00275 ] ^ 12

A = 13500 [1.00275 ] ^ 12

A = 13500 (1.0335)

A = $13,952.30

13,500 Deposit Earning 3.3% Compound Monthly After 1 Year
Answer 2

The balance on a $13,500 deposit earning 3.3% and compound monthly after 1 year is equal to $13,952.30.

How to determine the future value after 1 year?

In Mathematics and Financial accounting, compound interest can be calculated by using the following mathematical equation (formula):

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where:

A represents the future value.n represents the number of times compounded.P represents the principal.r represents the interest rate.t represents the time measured in years.

By substituting the given parameters into the formula for compound interest, we have the following;

[tex]A(1) = 13500(1 + \frac{0.033}{12})^{12 \times 1}\\\\A(1) = 13500(1.00275)^{12}[/tex]

Future value, A(1) = $13,952.30.

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Complete Question;

Find the balance in each account after the given period. $13,500 deposit earning 3.3% compound monthly after 1 year.


Related Questions

How do you Change 56/8 into a mixed number

Answers

You just think of how many times & goes into 56 which can be as 56 divided by & and if you got a decimal number then you times 8 by the whole number part you got but in this case 56 divided by 8 equals 7 so the mixed number is 7

Evaluate the expression: a(b – c) if a = -8, b = 12, and c = 4


-128


-100


-64


0

Answers

Answer:

-8(12-4)

-8(8)

=`-64

answer is c

Ben, Tracy, and Tran spent a total of $15 to go skating, they each rented skates at the park for n dollars.

Answers

The problem involves an algebraic expression where Ben, Tracy, and Tran each spend an equal amount, n, on skate rentals that total $15. By setting up an equation, we solve for n, which is $5 per person. This concept is related to understanding budget constraints in financial decision-making.

The student's question about Ben, Tracy, and Tran spending a total of $15 to go skating where they each rented skates for n dollars pertains to algebraic expressions and equations, which is a mathematics concept commonly explored in college-level courses. If we assume that each of them paid an equal amount for the skate rental, represented by n, then we can express the total cost as 3n because there are three individuals.

Given that the total cost was $15, we can set up an equation: 3n = $15. To find the cost of renting skates per person, we solve for n by dividing both sides of the equation by 3, resulting in n = $5. Therefore, each person paid $5 to rent the skates.

Understanding how to solve this problem helps in grasping the concept of budget constraints, as seen in the example of Janet Bain who must decide how to allocate a limited budget of $250 for activities such as skiing and horseback riding. This topic relates to the decision-making processes regarding spending within the constraints of a budget, which is essential in both personal and organizational finance.

What is 3(x+3)+7x= ?

Answers

Answer:

10x+9

Step-by-step explanation:

You first have to multiply 3 into the parenthesis because you have to use distributive property.

Once you do that you get 3x+9+7x.

Combine like terms.

10x+9

3(x+3)+7x
3x + 9 + 7x
3x + 7x + 9
10x + 9

What was the net yardage the team had after those 4 plays ?

Answers

Answer: Choice A)  -32

A loss of 8 yards is represented as -8

Multiply this by 4 to get -8*4 = -32

The population of a city is currently 1500. It is expected to triple every
- years. Find the population after 30 years.

Answers

Answer:

135000

Step-by-step explanation:

1500 x 3 x 30

so u start out with ur number u have now then u multiply that by 3 because it triples every year and it askes the population in 30 years so its 1500x3x30 = 135000 ur welcome

If eight apples cost the same as four bananas, and two bananas cost the same as three cucumbers, how many cucumbers can Tyler buy for the price of 16 apples?

Answers

Answer:6

Step-by-step explanation:because every 8 apples =3 cucumbers so 8 times 2 =16 so 3 times 2 =6

Answer:

12

Step-by-step explanation:

At a school 40% of the sixth graders students said that hip hop is their favorite kind of music. If 100 sixth graders students prefer hip hop music, how many sixth graders are at the school?

Answers

Answer:

If 100 students make up 40% of the 6th grade population, then 50 students make up 20% of the 6th grade population. 20% × 5 makes 100% so if your multiply 50 by 5 you'd get your population.

50 × 5 = 250 sixth-graders

Answer:

60 percent i'm sure

Step-by-step explanation:

Find the lateral surface area of the figure. A 798 B 210 C 816.8 D 69.7

Answers

the lateral surface area of the figure is 660 sq ft

(but the answer is not matching with the options)

Step-by-step explanation: this figure is called cylinder. the lateral surface area means the area of curved surface.

here the diameter is 10 ft

so radius = diameter/2 = 10/2 ft = 5ft

again, height = 21ft

now the lateral surface area = perimeter of the circular surface X height

= 2X pie X r X h ( here r is the radius and h is height and we will take pie as 22/7)

= 2 X (22/7) X 10 X 21 sq ft

= 2 X 22 X 5 X 3 sq ft

=660 sq ft

( suggest you to recheck the options)

Given :-

Diameter :- 10ft. , radius :- 5ft. Height:- 21 ft.

To find :-

Lateral surface area of Cylinder

Solution:-

Formula for finding lateral surface area of Cylinder = 2πrh

putting the known values ,

LSA of Cylinder = 2×3.14×5×21 ft²

LSA = 659.4 ft²

Carl and Tamera want to compare tests in math class. They have taken six tests. Should they use the mean, median or mode to compare their scores? Explain your choice.

Answers

Answer:

Mean

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

Well, if they use the mean to compare their scores, it is basically just averaging them. If they each average their own scores, they can see who did better!

(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥

What is the solution to the equation 4 x minus 6 = 10 x minus 3?

Answers

Answer:

x=-1/2

Step-by-step explanation:

Answer:

The answer is -1/2

Step-by-step explanation:

It is -1/2 because of math

if angle B is two more than three times the measure of angle C, and angle B are
complementary angles, find each angle measure.​

Answers

Set up a system of equations:

B=2+3C

B+C=90

The variable B is already solved, so plug into bottom equation:

2+3C+C=90

2+4C=90

4C=88

C=22

Plug C back in:

B+22=90

B=68

So B is 68 degrees and C is 22 degrees

Hope this helped!

Solve for u. -24 = u ÷ 6

u = ____

Answers

The value of u is -144

Solution:

Given that,

[tex]-24 = u \div 6[/tex]

We have to solve for "u"

From given,

[tex]-24 = u \div 6[/tex]

Convert the division problem into multiplication, by changing the division sign to multiplication sign. Then invert the number to right of division sign

Thus we get,

[tex]-24 = u \times \frac{1}{6}\\\\\frac{u}{6} = -24[/tex]

Isolate for u

[tex]u = -24 \times 6\\\\On\ multiplying\ both\ we\ get\\\\u = -144[/tex]

Thus the value of u is -144

PLS HELP! find the nth term of the sequence

Answers

75

The pattern is going up +4 from the previous time

5-11 is +6
11-21 is +10
21-35 is +14
35-53 is +18
53-75 is +22

The area of a what is half of the base multiplied by the height.

Answers

Answer:

Triangle

Step-by-step explanation:

Area of a triangle = 1/2 bh

Answer:

The correct ans is a: triangle

Step-by-step explanation:

I hope this helps! :)

Plz mark brainliest I am trying to rank up!

Have a nice day!

Evaluate a+4 when a =7

Answers

If a = 7 then a+4 = 11.

a+4 is basically 7+4.

Hope this helps :)

Answer:11

Step-by-step explanation:if a=7 then that means the problem is 7+4 and that equals 11

Solve for P
21 plus p equals 44
P equals what

Answers

I think it’s 23 +21=44

Answer:

p= 23

Step-by-step explanation:

PLEASE HELP ASAP PLEASE PLEASE PLEASE
Graph the solution to the scenario by dragging and dropping a circle/arrow onto the number line.


The roots of Billy's plant grew to 3 inches beneath Earth’s surface. Graph all the possible depths the roots can continue to grow.

Answers

Answer:

i am taking the test now and its going left on negative 3 open circle

Step-by-step explanation:

how do you simply this expression (x+2)-(1x-2)-12x

Answers

Answer:

4-12X

Step-by-step explanation:

Expression: (x+2)-(1x-2)-12x

First step: x+2-1x+2-12x

Second step: (2+2)+(x-1x-12x)

Third step: 4-12X

identity of survey, this is for math, can i get an explanation?

Answers

Answer:

Third statement: convenience sampling.

Explanation:

The student used convenience sampling.

The population of the study is the entire population of students of the school.

Since it is time consuming to survey all the students, the high school volunteer student needs to survey a sample.

A systematic random sample would have used a procedure, algorithm,  method (a system) to select a random sample. This is not what the student did, thus the first option is incorrect.

A voluntary sampling consits of volunteer people who agree to take part in the study and answer the survey. This isn't either how the sample was choosen, thus the second option is also incorrect.

A convenience sample is when the sample is chosen for the researcher's ease, i.e. convenience. In this case, the student decided to survey only members of his class instead of selecting a representative sample of all the classes. This sample is not random, since not every member of the population has equal chances to be chosen, but it is easy for the student to survey a group that is very close to him. Hence, the third statement is correct.

The was not an statrified sampling (fourth choice), since statrified sampling consists in creating different groups and chosing some members from every group. This is not what the researcher did.

6. 4x + 2y = 16
| 5x - 2y = 38

Answers

Answer:

2y-2y=0

9x=54

x=54/9

x=6

11+(3p + 5x) +4x - x

Answers

Answer:

I believe the answer is: 33p+62x

Step-by-step explanation:

33p+55x+4x-x

33p+59x+4x-x

33p+63x-(1)x

33p+62x

The sum of two numbers is 4 1/8 and their difference is 7/8. What are the numbers? Explain how you found your answer.

Answers

Final answer:

To find the two numbers, set up a system of equations and use the method of elimination to solve. The two numbers are 5/2 and 13/8.

Explanation:

To find the two numbers, we can set up a system of equations. Let's say the two numbers are x and y. We have the following information:

x + y = 4 1/8

x - y = 7/8

To solve this system, we can use the method of elimination. We can add the two equations together to eliminate the variable y:

(x + y) + (x - y) = 4 1/8 + 7/8

2x = 5

x = 5/2

Substituting this value back into one of the original equations, we can solve for y:

(5/2) + y = 33/8

y = 33/8 - 5/2

y = 33/8 - 20/8

y = 13/8

Therefore, the two numbers are 5/2 and 13/8.

Expand to write an equivalent expression: -1/4(8x+12y

Answers

Answer:

-1/4(8x+12y)=-2x-3y

Final answer:

The expanded equivalent expression of -1/4(8x+12y) is -2x - 3y.

Explanation:

The given mathematical expression is: -1/4(8x+12y). To expand and simplify this expression, we need to apply the distributive property of multiplication over addition, which means we multiply -1/4 with both 8x and 12y separately. So, the first step would be -1/4 * 8x which becomes -2x. Doing the same for the second term, -1/4 * 12y, the result will be -3y. Therefore, the equivalent expanded expression becomes

-2x - 3y

.

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Please help asap i will mark branlist please explain

Answers

Answer: D

Step-by-step explanation: In this problem, we want find the difference between each of the x-term and each of the y-terms.

Let's begin with the x-terms.

Notice that the difference between 1 and 0 is +1, the difference between 2 and 1 is +1, the difference between 3 and 2 is +1, and the difference between 4 and 3 is +1.

Now, looking at the y-terms.

The difference between 5 and 2 is +3, the difference between 8 and 5 is +3, the difference between 11 and 8 is +3, and the difference between 14 and 11 is +3.

To write an equation, we need to know the multiplier and the base.

The multiplier will be equal to the change in y over the change in x.

The change in y is always +3 and the change in x is always +1.

So we have [tex]\frac{+3}{+1}[/tex] which is equal to +3.

This means that the multiplier is equal to 3.

Next, we want to find the base or the value of y when x is equal to 0. The base is equal to  when x is equal to 0.

Now to write an equation from the data in the table, we begin with the equation y = mx + b where m is the multiplier and b is the base.

We know that the multiplier is 3 and the base is 2.

So we have y = 3x + 2.

So your answer is D.

A cube has a volume of 74 088 cm cubed. What is the surface area of the cube

Answers

Answer:

10 cm²

Step-by-step explanation:

74 088 is the cubed of one side. So you would do [tex]\sqrt[3]{74088}[/tex] which is 42. So one side of the cube is 42. To find the surface area, you would do 6(42x42) which would give you 10584. Remember to put cm²

How do you write 0.35 as a fraction in simplest form

Answers

The fraction would be 35/100, in simplest form that is 7/20.

Answer:It  equals -7/20 because Here's how to convert 0.35 to a fraction... There is not much that can be done to figure out how to write 0.35 as a fraction, except to literally use what the decimal portion of your number, the .35, means. Since there are 2 digits in 35, the very last digit is the "100th" decimal place. So we can just say that .35 is the same as -35/100. The fraction -35/100 is not reduced to lowest terms. We can reduce this fraction to lowest terms by dividing both the numerator and denominator by 5. Why divide by 5? 5 is the Greatest Common Divisor (GCD) or Greatest Common Factor (GCF) of the numbers 35 and 100.

So, this fraction reduced to lowest terms is -7/20.

So your final answer is: 0.35 can be written as the fraction -7/20

Hope this helps... Plz mark me brainliest if the answer is correct... Stay safe and have a great weekend!!! :D

What does x equal in 10x=6x-12

Answers

The x in 10x=6x-12 is equal to 3

14
The area of a square garden is 200 m2. How long is the diagonal?
an
10,5 m
les
200 m
100 m
20 m
atio

Answers

Answer: [tex]d = 20m[/tex]

Step-by-step explanation:

The formula for calculating the area of square is given by :

Area = [tex]s^{2}[/tex]

where s is the length of a side , that is

200 =  [tex]s^{2}[/tex]

Therefore :

[tex]s = \sqrt{200}[/tex]

[tex]s = 10\sqrt{2}[/tex]

Recall that the diagonals of a square meet  at right angle , then we can calculate the diagonal by Pythagoras theorem , that is

[tex]d^{2}[/tex] = [tex](\sqrt{10})^{2}[/tex] +  [tex](\sqrt{10})^{2}[/tex]

[tex]d^{2} = 200 + 200[/tex]

[tex]d^{2} = 400[/tex]

[tex]d = \sqrt{400}[/tex]

[tex]d = 20m[/tex]

The Endeavor, a space shuttle, has speeds of about 27,404 feet per second. Convert the speed into kilometers per hour and miles per hour.

Answers

Answer:

Speed of shuttle in km per hr =        30069.86 km per hr

Speed of shuttle in miles per hr       =    18643.31  miles per hr

Step-by-step explanation:

Speed of space shuttle in feet per second= 27,404 feet per second

As

One foot per second = 1.09728 kilometers per hour,

The speed in kilometers per hour is equal to the feet per second multiplied by 1.09728

So

To find  out speed of shuttle in km per hour we will mutilpy our speed with 1.09728

              27404 ft per sec         =         27404x 1.09728 km per hr

    speed of shuttle in km per hr =        30069.86 km per hr

Now

As we know 1km = 0.621371 miles

To convert this speed into miles per hr we will multiply our speed with 0.621371

        30069.86 km per hr   =    30069.86x0.621371 miles per hr

     speed of shuttle in miles per hr       =    18643.31  miles per hr

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