1,030 at 4% compounded semiannually for 2 years

Answers

Answer 1

Answer: $1114.91

Step-by-step explanation:

The formula for compound interest is

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

Where

A = final amount

P = initial principal balance (1030 for this)

r = interest rate (0.04 for this)

n = number of times interest applied per time period (2 for this)

t = number of time periods elapsed (2 for this)

[tex]A= 1030(1+\frac{.04}{2})^{(2)(2)} \\\\A= 1030(1+0.02)^{4} \\A=1030(1.02)^4\\A=1114.905125[/tex]

This rounds up to $1114.91


Related Questions

Brenna rolled a number cube 16 times and recorded each roll. the data are listed below. 2, 5, 5, 1, 4, 6, 2, 3, 5, 6, 3, 1, 4, 6, 1, 5 create a dot plot for the data set. which value has the most dots displayed above it? 1 3 5 6

Answers

The value that will have the most dots displayed in the dot plot created for the data set is: C. 5

How to Create a Dot Plot?

To create a dot plot, construct a horizontal line to label the values in the data set, then use dots to indicate the frequency in which each of the data points appear.

Given the data set:

2, 5, 5, 1, 4, 6, 2, 3, 5, 6, 3, 1, 4, 6, 1, 5

1 will have 3 dots

2 - 2 dots

3 - 2 dots

4 - 2 dots

5 - 4 dots

6 - 3 dots

Thus, the value with the most dots displayed would be: 5.

Learn more about dot plot on:

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Answer:

✔ ∅ C) 5

Step-by-step explanation:

Brenna rolled a number cube 16 times and recorded                                 each roll. the data are listed below.                                                                  2, 5, 5, 1, 4, 6, 2, 3, 5, 6, 3, 1, 4, 6, 1, 5                                                         create a dot plot for the data set. which value has the                               most dots displayed above it?

O A) 1

O B) 3

✔ ∅ C) 5

O D) 6

4 of the 5 is more 2 of the 2, 2 of the 3, 2 of the 4, 3 of the 1, 3 of the 6

So The Answer is C) 5

Find the surface area of the prism.

Answers

The prism shown consists of 6 parallelograms and the surface area of the prism shown in the figure is 48 square inches.

How to calculate the surface area of a figure

The surface area is equal to the sum of all the areas of the sides of the figure.

The figure shown consists of 6 parallelograms. The area for calculating the area of a parallelogram is expressed as:
Area = Base * Height

Surface area = 4(2*4) + (4 * 4)
Surface area = 4(8) + 16
Surface ares = 48 square in

Hence the surface area of the prism is 48 square inches.

Learn more on surface area of prism here: https://brainly.com/question/1297098

help me please ……………..

Answers

Answer:

I can t see it

Step-by-step explanation:

Find the side length of a square with
each area.
a) 100 m2
c) 81 m2
b) 64 cm
d) 400 cm-

Answers

Area- 100 m^2|Side Length- 10 m
Area- 81 m^2|Side Length- 9 m
Area- 64 cm^2|Side Length- 8 cm
Area- 400 cm^2|Side Length- 20 cm

What are the correct answers? Please, explain how to do it please.

Answers

Answer:

a

Step-by-step explanation:

The answer for the question is A

Katie is constructing the circumscribed circle for △RST. She has already used her compass and straightedge to complete the part of the construction shown in the figure.



What could be her next step?


Use the straightedge to draw the line through points A and C.

Use the straightedge to draw the line through points C and D.

Use the straightedge to draw the line through points C and B.

Use the straightedge to draw the line through points B and D.

Answers

Answer:

A) use a straightedge to draw a line thought D and F

Step-by-step explanation:

got it right on the test

Answer:

Use the straightedge to draw the line through points C and D.

Step-by-step explanation:

i took quiz

Line J K is dilated by a scale factor of n with the origin as the center of dilation, resulting in the image J' K'. The slope of J K is m. If the length of J K is l, what is the length of J' K'?
A. m*n*l
B. (m+n)*l
C. m*l
D. n*l

Answers

Answer: C

Step-by-step explanation:

How many three-digit positive integers are there with no repeated digits, if the first digit and the last digit must be odd, but the middle digit can be even or odd

Answers

Answer:
Answer is 160
Step-by-step explanation:
The number of digits that exist is 10: 0,1,2,3,4,5,6,7,8,9
Number of all odd digits is 5 (1,3,5,7,9)
Number of all even digits is 5 (0,2,4,6,8)

We divide the problem into two cases: middle digit is even and middle digit is odd
Now to solve the problem list the digit possibilities for each case:

Case 1: middle digit is odd:
odd odd odd
Number of possibilities for hundreds digit: 5
Number of possibilities for tens digit: 4 (repetition not allowed)
Number of possibilities for unit digit: 3
Number of ways for case 1= 5x4x3=60

Case 2: middle integer is even:
odd even odd
Number of possibilities for hundreds digit : 5
Number of possibilities for tens digit: 5
Number of possibilities for unit digit: 4
Number of ways for case 2= 5x5x4=100

TOTAL number of ways= 60+100=160
HOPE THIS HELPS :)

Please help me wit this math problem! Will give brainliest!! :)

Answers

Step-by-step explanation:

x² x<1

—x²+4x—1 1≤x≤3

x—3 x>3

feel free to leave a comment if still something's confusing.

Find the equation (in terms of ) of the line through the points (-4,5) and (1,-1)
y =?

Answers

[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{(-4)}}}\implies \cfrac{-6}{1+4}\implies -\cfrac{6}{5}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{-\cfrac{6}{5}}(x-\stackrel{x_1}{(-4)}) \implies y-5=-\cfrac{6}{5}(x+4) \\\\\\ y-5=-\cfrac{6}{5}x-\cfrac{24}{5}\implies y=-\cfrac{6}{5}x-\cfrac{24}{5}+5\implies y=-\cfrac{6}{5}x+\cfrac{1}{5}[/tex]

Help will give brainlest! Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral.

Answers

Answer:

Angle a=92, angle c=88, angle b=100, angle d=80

Step-by-step explanation:

Complete the steps to calculate the density of the steel. calculate the volume of the prism. recall that the area of a hexagon is one-half times the apothem times the perimeter. v = cm3 calculate the volume of the cylinder. round to the nearest hundredth. v = cm3 find the volume of the composite figure. v = cm3 calculate the density by dividing the mass by the volume. d = g/cm3

Answers

Answer:

1. 0.45

2. 0.06

3. 0.39

4. 7.77

Step-by-step explanation:

causeeeeeeee

jessie bought pecans for a party. She gave each of 12 friends a bag of mixed nuts with more than 6 grams of pecans. Write and graph an inequality that represents the minimum weight of the pecans Jessie bought, where p represents the number of grams of pecans.

Answers

What is an Inequality?

The dictionary defines an inequaltiy as a statement that two quantities are unequal, indicated by the symbol ≠; alternatively, by the symbol <, signifying that the quantity preceding the symbol is less than that following, or by the symbol >, signifying that the quantity preceding the symbol is greater than that following.

Inequality for this problem

x > 6

Countries that have a low GDP (per capita) are referred to which of the following?
A. Developed
B. Rich
C. More economically developed country (MEDC)
D. Developing

Answers

The only possible answer should be D. (Developing)

What is the area of the shaded region?​

Answers

Answer:

Area = 84.1

OR Exact A = 392 - 98pi

Step-by-step explanation:

Calculate the area of the rectangle and subtract the area of the two circles. See image.

Can someone please help me with this question?

Answers

Step-by-step explanation:

I think the answer is 15cm

Please help me answer this

Answers

Answer: hopefully this helps it’s a formula sheet for different shapes and it seems like your working with circles so use this!

Step-by-step explanation:

Solve the inequality. 2(4x – 3) ≥ –3(3x) 5x? x ≥ 0.5 x ≥ 2 (–[infinity], 0.5] (–[infinity], 2]

Answers

The solution of the inequality 2(4x - 3) ≥ -3(3x) + 5x is true for all x such that its a real number bigger or equal to 0.5 (Option A: x ≥ 0.5)

What is a solution set to an inequality or an equation?

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.

The considered inequality is:

[tex]2(4x - 3) \geq -3(3x) + 5x[/tex]

Simplifying its both sides, we get:

[tex]2(4x - 3) \geq -3(3x) + 5x\\8x-6\geq -9x + 5x\\8x-6 \geq -4x[/tex]

Adding 4x on both the sides, we get:

[tex]8x-6+4x \geq -4x + 4x\\(8+4)x - 6 \geq 0\\12x -6 \geq 0\\[/tex]

Adding 6 on both the sides, and dividing by 12, we get:

[tex]12x-6 +6 \geq 0+6\\12x \geq 6\\12x/12 \geq 6/12\\x \geq 0.5[/tex]

(some operations like addition, subtraction, multiplication by positive real number or division by positive real number keeps the inequality relation unaltered. With the use of such operations, here we tried to get x on one side, and constants on other side).

Thus, the considered inequality is true for all the values of x which are real numbers bigger or equal to 0.5 (Option A: x ≥ 0.5)

Learn more about inequalities here:

https://brainly.com/question/16339562

Giving Brainiest and 60 points! :))

Answers

Answer:

Vertical angles! Hope this helped!<3

Answer:

Vertical Angles

Step-by-step explanation:

Adjacent Angles are adjacent to each other and share the same side.

Complementary Angles add up to 90°

Vertical Angles are similar angles on opposite sides of each other

Reflex Angles are angles that are over 180°

Therefore Vertical Angles is the answer

Represent Real-World Problems If one gallon of paint covers 250 square feet, how many gallons of paint will be needed to cover the shed, not including the roof? If a gallon of paint costs $25, about how much will it cost to paint the walls of the shed? please show ALL of your work. ​

Answers

Answer:

125 dollars

Step-by-step explanation:

on a number line 48 to 49 would 48 3/5 be the closest to 49

Answers

The answer is Closer to 49

The following scatter plot shows the correlation between the number of hours twelve teenagers spent in the mall and the number of dollars they spent on food or drinks while at the mall. Use the line of best fit to estimate how much money a teenager will spend on food if he or she is at the mall for three hours.

$9

$11

$7

$5

Answers

The equation of the line of best fit is an illustration of a linear function

The teenager would spend $9 on food if he or she is at the mall for three hours.

How to determine the amount spent on food?

The equation of the line of best fit is given as:

y = 2x + 3

When the teenager spends 3 hours in the mall, it means that:

x = 3

So, we have:

y = 2 * 3 + 3

Evaluate the product

y = 6 + 3

Evaluate the sum

y = 9

Hence, the teenager would spend $9 on food if he or she is at the mall for three hours.

Read more about line of best fit at:

https://brainly.com/question/17261411

What percent of children who have a birthday party at home are between 5
and 10?

Answers

12 kids between the ages of 5 and 10 have birthday partys at home. A total of 65 kids have birthday party’s at home.
12/65≈18%

The percentage of children who have a birthday party at home between 5

and 10 is 3.69 %

What is a percentage?

The percentage means the required value out of 100.

It is calculated by dividing the required value by the total value and multiplying by 100.

The percentage change is also calculated using the same method.

In percentage change we find the difference between the values given.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

Total number of children = 325

The number of children that have parties at home between the 5 - 10 age group.

= 12

Now,

The percentage of children who have a birthday party at home between 5

and 10.

= 12/325 x 100

= 3.69 %

Thus,

The percentage of children who have a birthday party at home between 5

and 10 is 3.69 %

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ7

A Number decreased by 2 times 5 is 60

Answers

Answer: The number is 14.

Step-by-step explanation:

14 minus 2 equals 12 and 12 times 5 equals 60.

Hope this helps :)

Have a great day!!

The speed of a cheetah is 65 miles per hour and the speed of a horse is 50 miles per hour. Rounding to the nearest tenth, how many times as fast is the cheetah as compared to the horse?


A. ) 1. 8

B. ) 1. 3

C. ) 0. 8

D. ) 0. 5

Answers

Answer:

B

Step-by-step explanation:

Just do the cheetah's speed divided by the horse's speed:

65/50

and thats your answer

image below ill give branliest

Answers

Answer:

It is(-1,5)

Step-by-step explanation:

You just divide the (-3,15) by 3 and you get your answer.

Answer:

(-1 , 5)

Step-by-step explanation:

Find the coordinates of the point after dilation:

A (-1,5) and B (-3,4)

Which describes a transformation using rotation?
A.
move points perpendicularly across a specified line a distance equal to its original distance from the specified line
B.
move points along a circular arc with a specified center through a specified angle
C.
move points a specified distance along a line parallel to a specified line
D.
move points closer or further from a specified point by a specified magnitude

Answers

B.

Good luck with your studies!

Hannah is experimenting with a new drawing program on her computer. She created quadrilateral MATH with coordinates M(1, 2). A(-5, 3), T(- 6,-3), and H(0,- 4). Hannah believes that she has created a square. Prove that Hannah is correct.

Answers

The square MATH has equal side lengths MA, TH, AT and HM

Hanna's claim is correct because

The side lengths are equal.Opposite sides have the same slopeThe slopes of adjacent sides are opposite reciprocals

How to prove that Hannah is correct?

The coordinate points are given as:

M(1, 2), A(-5, 3), T(-6,-3), and H(0,- 4).

Calculate the side lengths of the square using the following distance formula

d = √[(x2 - x1)^2 + (y2 - y1)^2]

So, we have:

MA = √[(1 + 5)^2 + (2 - 3)^2] = √37

AT = √[(-5 + 6)^2 + (3 + 3)^2] = √37

TH = √[(-6 + 0)^2 + (-3 + 4)^2] = √37

HM = √[(0 - 1)^2 + (-4 - 2)^2] = √37

The side lengths are equal.

Next, we calculate the slopes using:

m =(y2 - y1)/(x2 - x1)

So, we have:

MA = (2-3)/(1+5) = -1/6

AT = (3+3)/(-5+6) = 6

TH = (-3+4)/(-6+0) = -1/6

HM = (-4-2)/(0-1) = 6

See that opposite sides have the same slope

i.e MA = TH and AT = HM

And adjacent sides have their slopes to be opposite reciprocals

i.e. MA = -1/AT and TH = -1/HM

The calculated distances and slopes implies that Hanna's claim is correct

Read more about quadrilaterals at:

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An ad in the newspaper advertises car tires for $146.50 for a pair. Mr. Tucker needs 3 tires for his truck. How much will he pay for his new tires?

Answers

Answer:

$109.875

Step-by-step explanation:

Assuming "a pair" means 4 tires the math would be as follows:

146.50 for 4 tyres.

146.5/4 = cost of one tyre.

1 tyre: $36.625

Multiply by 3 for price of three tires:

36.625 x 3 = $109.875

pls need hlp in math<3

Answers

Answer:

45 g

Step-by-step explanation:

30/200 simplified = 3/20

3/20 as a decimal = 0.15

0.15 g of barley for 1 ml of milk

300 · 0.15 = 45

45 g of barley for 300 ml of milk

hope this helps :)

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