How much money will you have in 6 months if you invest $1000 at 3% compounded monthly?
Answers
Step-by-step explanation

Answers

Answer 1

The total amount accrued, principal plus interest, with compound interest on a principal of $1,000.00 at a rate of 3% per year compounded 12 times per year over 0.5 years is $1,015.09.

Compound Interest

Given Data

Principal = $1000Rate = 3%Time = 6 months = 0.5 years

First, convert R as a percent to r as a decimal

r = R/100

r = 3/100

r = 0.03 rate per year,

Then solve the equation for A

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

A = 1,000.00(1 + 0.03/12)^(12)(0.5)

A = 1,000.00(1 + 0.0025)^(6)

A = $1,015.09

Learn more about compound interest here:

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Related Questions

Are my answers correct?

Answers

Answer:

Check the last answer...

Step-by-step explanation:

Look at image above...

Mrs. o'brien used a compass to draw two circles on a coordinate plane. circle a is centered at (3,-1)
and has a radius of 4 units. circle b is centered at (4, 5) and has a
radius of 3 units. select all of the
transformations that can be performed on circle a to prove that it is similar to circle b.

Answers

To prove that circle A is similar to circle B, it needs to be moved 1 unit right and 6 units up and then dilated by a scale factor of 3/4

What is transformation?

Transformation is the movement of a point from its initial location to a new location.

Types of transformation are rotation, translation, dilation and reflection.

To prove that circle A is similar to circle B, it needs to be moved 1 unit right and 6 units up and then dilated by a scale factor of 3/4

Find out more on transformation at: https://brainly.com/question/4057530

In the Lincoln Grade School, 200 students are in the first grade, 150 are in the second grade, 300 in the third grade, 250 in the fourth grade, 200 in the fifth grade, and 275 in the sixth grade. Construct a bar graph that represents the number of students per grade at Lincoln Grade School. Label the bar graph with a title and the correct, consistent scale.

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Answer:

In image

Step-by-step explanation:

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

Over 7 months, the weight of a baby measured in pounds doubled. Does its weight measured in kilograms also doubled

Answers

Answer:

Yes

Step-by-step explanation:

Yes. Explanations vary. Sample explanation: The weight itself doubles, so

any measurement of the weight using the same units will also double. We

can also see that by saying if the weight is x pounds, then double that weight

would be 2x pounds. The weight in kilograms will be x ÷ 2.2, and the double

weight will be or (2x) ÷ 2.2 2(x ÷ 2.2), which is also double.

The function f(x)=x^2 is graphed on the coordinate grid.

Use the Parabola tool to graph g(x).

g(x)=3x^2

Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.

Answers

Answer:graphed below.Explanation:vertex: (0, 0)

other points:

x    y

-2  12

-1   3

0   0

1    3

2   12

Let's see

g(x)=3x^2

Take some cordinates

(0,0)(1,3)(-1,3)(2,12)(-2,12)

Graph attached

can some help me out with this EXTRA POINTS!!

Answers

Answer: ≈ 185.73009

Step-by-step explanation:

area of square: [tex]length^{2}[/tex]

area of circle: [tex]\frac{radius^{2} * \pi }{y}[/tex]

length: 15

radius = diameter/2

radius: 5

area of square - area of circle =  area between square and circle:

[tex]15^{2} - \frac{5^{2} * \pi }{2} = 225 - \frac{25\pi}{2}[/tex] ≈ 185.73009

hope it helps!

Please mark as brainliest.

please help me will give branlist

Answers

Answer:

A. 8(3 + 8x)

Step-by-step explanation:

Hope it helps you in your learning process

There are a total of 21 marbles in the box. And 5 of the marbles
are black and 6 of them are blue. A single marble is chosen at
random from the box. What is the probability of choosing a
black ball or a blue ball?

Answers

Step-by-step explanation:

there are in total 21 marbles.

5 black, 6 blue = 11 black or blue marbles.

so, the probability of pulling a black or blue marbles is as always desired possible outcomes / total possible outcomes = 11/21

its literally 15 points
How do i find lateral area?
dont answer in a confusing way please i just need to understand this :(

Answers

Answer:

There are many areas but

Step-by-step explanation:

Area of square is L × W

where you multiply both length × width you get the answers squared

Area of a cube is L × W × H

this is where you multiply all length × width × height and get the answer cube

Help!!!! I need help with this one

Answers

Answer:

y=1/3x+2

Step-by-step explanation:

y=mx+b form is where m = the slop and b = the y interecept.

Y - Intercept

we can tell the y-intercept is 2 just by looking at the graph

Slope

For the slope, we can pick two points on the line, in this case, I will pick the points (0,2) and (3,3). Then, we can use the slope formula (y2-y1)/(x2-x1) to find the points, and after plugging the points in, we get 1/3, which is the slope

Plugging the numbers into slop intercept form

So we now know the slope is 1/3 and y-intercept is 2, so after plugging it into slope-intercept form (y=mx+b), we get y=1/3x+2

which European country colonized Brazil?​

Answers

Answer:

Portugal in 1815 colonize Brazil.

The country of Portugal colonized Brazil.

what is the nature of triangle formed by the lines x+y=0 , 3x+y=0 , x+3y-4=0

Answers

Answer:

  isosceles obtuse triangle

Step-by-step explanation:

The attached graph shows a plot of the three lines.

The triangle is an isosceles obtuse triangle in the 2nd quadrant.

_____

It is convenient to let a graphing calculator plot these lines. If you're going to plot them by hand, it usually works best to choose values of the variables for the variable that has the largest coefficient (3 in two of the equations). That way, you're not trying to plot coordinates that contain fractions.

Pls help me do this :) urgent message!

Answers

Answer:

y-intersept is where the line crosses the y axis

on this one it is

(0,-3)

Hope This Helps!!!

Answer:

(0,-3)

Step-by-step explanation:

The y-intercept is where the equation of the line intersects the y-axis. In this case, by looking at the graph, we see that the y-intercept is (0,-3).

Hope this helps!!

Use the ordered pairs below. (10,20), (11, 21), (12, 22) What patterns are used to create the ordered pairs?​

Answers

Answer:

The x and y points are increasing by 1

Step-by-step explanation:

(x + 1, y + 1)

The x and y points are increasing by 1

(10, 20) => (10 + 1, 20 + 1) => (11, 21)

(11, 21) => (11 + 1, 21 + 1) => (12, 22)

(10, 20), (11, 21), (12, 22)

Hope this helps!

How many apples could you buy if you went to the store with five dollars? *

Answers

Answer:

depends on how much the apples cost

It really much depends on the type of apple and it’s price

!!40 points and Brainliest if it’s correct!!ANSWER IT ONLY IF YOU KNOW THE ANSWER. IF YOU DONT KNOW DONT ANSWER IT. Make sure you explain please!

Which of the following shows the correct first step to solve x^2 - 16x = -21 by completing the square?

A)x^2 - 16x + 64 = -21

B) x^2 - 16x + 64 = -21 + 64

C) x^2 - 16x + 16 = -21 + 16

D) x^2 - 16x + 8 = -21 + 8

Answers

Answer:

B) [tex]x^{2} -16x+64=-21+64[/tex]

Step-by-step explanation:

The first step to completing the square is by dividing "b" by 2, squaring that number, and adding it on both sides. In this case, 16/2 = 8 and 8 squared = 64. In answer choice B, this is correctly added to both sides of the equation.

See the full steps for completing the square below. If you're still stuck on this, I suggest watching the completing the square video on Tutors.com. It is very helpful!

Have a great day!

Andrea thought that x = 15 would be a good guess to solve 6x + 19 = 150. Should her second guess be higher or lower? Why?

Answers

Answer:

higher

Step-by-step explanation:

should be higher since 6 x 15 is 90, which is far away from 150

Answer:

should be higher

Step-by-step explanation:

because 6×15=90 and 90+19 is lower than 150

What are the x intercepts for the following
function? f(x) = x2 - 4x + 4
a. 2 and 4
b. -1 and O
c. -4 and 4
d. 2

Answers

Answer: 2

Step-by-step explanation: It is 2. You can use the vertex formula x= (-b/2a) 4/2(1), which is 2 and x=2 is the x intercept.

Can someone please answer this?

Answers

ANSWER

it is the one that is highlighted Yellow

f=±✓de/4e

photo is how you do the work

HELP PLEASE FOR NUMER 3 and 4 PLEAESE ASAP ANI WILL GIVE BRANILESS FOR THE FIRST PERSON

Answers

Step-by-step explanation:

what number you need help with

please help I'll give brainliest if answer is right ​

Answers

Answer:

The area is about 96.06 or 96.1

Step-by-step explanation:

I tried my best to solve it, I'm sorry if it's wrong.

Geometric series mastery test

Plato/edumentum

Answers

Answer:

183

Step-by-step explanation:

it is clearly a geometric sequence.

the common ratio of multiplication factor is -3.

3 × -3 = -9

-9 × -3 = 27

27 × -3 = -81

-81 × -3 = 243

the sum of these first 5 terms is

3 - 9 + 27 - 81 + 243 = 183

FYI - there is a formula to add the first n terms of a geometric sequence :

Sn = a1(1 - r^n)/(1 - r)

if r < 1 (like in our case -3).

in our case

S5 = 3(1 - (-3)⁵)/(1 - -3) = 3(1 - -243)/4 / 3×244/4 = 3×61 = 183

At the state fair, 2 bags of mini donuts and 4 turkey legs cost $18.50. for $13.75, you can buy 3 bags of mini donuts and 2 turkey legs.using these amounts, which system of equations can be used to find the cost of 1 bag of mini donuts?

Answers

Let’s use subtraction in this case:

Let Mini donut be D
Let turkey legs be T


(2D + 4T = 18.50)*3
(3D + 2T = 13.75)*2

6D + 12T = 55.50
-6D + 4T = 27.50

8T = 27.5
T = 3.5 The turkey leg is 3.5$


2D + 4(3.5) = 18.50

2D + 14 = 18.50


2D = 4.5
D=2.25


The cost of one mini donut would be 2.25$

What is the correct answer?

Answers

Answer:

2.38 yds^3

Step-by-step explanation:

Volume of a box = width x length x height

Now we multiply!!

? = 1 x 1.7 x 1.4

1 x 1.7 x 1.4 = 2.38

Have an amazing day!!

Please rate and mark brainliest!!

[tex] \huge\fbox\orange{ANSWER} [/tex]

[tex] \mathsf \purple{v = l \times w \times h}[/tex]

[tex] \mathsf \pink{v = 1.7 \times 1 \times 1.4}[/tex]

[tex] \mathsf \purple{v = 2.38 {yd}^{3} }[/tex]

2.38 cubic yards

Will give brainliest, thanks, and 5 stars! LOTS OF POINTS! 50 POINTS!
I need help with these questions! Please help me. The choices are all true/false.
Please help me!!!!!!
Please provide in depth explanation too!!

Answers

Answer/Step-by-step explanation:

 All of the solutions to the equation 3x^2 - 12 = 0 are x = 12 and x = -2

Answer: False

Explanation:

[tex]3x^2-12+12=0+12[/tex]

[tex]3x^2=12[/tex]

[tex]\frac{3x^2}{3}=\frac{12}{3}[/tex]

[tex]x^2=4[/tex]

[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]x=\sqrt{4},\:x=-\sqrt{4}[/tex]

[tex]x=2,\:x=-2[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

There are two unique solutions to the equations (x-3)^2 = 16

Note: Each variable in the matrix can have only one possible value, and this is how you know that this matrix has one unique solution.

Answer: True

Explanation:

[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]x=7,\:x=-1[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Ths solutions for the equation 2(x-3)^3 - 18 = 0 are x = 6 and x = 0

Answer: False

Explanation:

[tex]2\left(x-3\right)^3-18+18=0+18[/tex]

[tex]2\left(x-3\right)^3=18[/tex]

[tex]\frac{2\left(x-3\right)^3}{2}=\frac{18}{2}[/tex]

[tex]\left(x-3\right)^3=9[/tex]

[tex]\mathrm{For\:}g^3\left(x\right)=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt[3]{f\left(a\right)},\:\sqrt[3]{f\left(a\right)}\frac{-1-\sqrt{3}i}{2},\:\sqrt[3]{f\left(a\right)}\frac{-1+\sqrt{3}i}{2}[/tex]

[tex]=\sqrt[3]{9}+3,\:x=\frac{6-\sqrt[3]{9}}{2}+i\frac{\sqrt[3]{9}\sqrt{3}}{2},\:x=\frac{6-\sqrt[3]{9}}{2}-i\frac{\sqrt[3]{9}\sqrt{3}}{2}[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~The solutions for the equation 2(x-5)^2-8=0 are x = 7 and x = -7

Answer: False

Explanation:

[tex]2\left(x-5\right)^2-8+8=0+8[/tex]

[tex]2\left(x-5\right)^2=8[/tex]

[tex]\frac{2\left(x-5\right)^2}{2}=\frac{8}{2}[/tex]

[tex]\left(x-5\right)^2=4[/tex]

[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]x=7,\:x=3[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The solutions for the equation (x + 3)^2-25 = -8 are x = 2 and x = -8

Answer: False

Explanation:

[tex]\left(x+3\right)^2-25+25=-8+25[/tex]

[tex]\left(x+3\right)^2=17[/tex]

[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]x=\sqrt{17}-3,\:x=-\sqrt{17}-3[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The solutions for the equation 2(2x-1)^2=18 are x = 5 and x = -4

Answer: False

Explanation:

[tex]\frac{2\left(2x-1\right)^2}{2}=\frac{18}{2}[/tex]

[tex]\left(2x-1\right)^2=9[/tex]

[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]x=2,x=-1[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The only solution for equation (2x-1)^2-49=0 is x = 4

Answer: False
Explanation:

[tex]\left(2x-1\right)^2-49+49=0+49[/tex]

[tex]\left(2x-1\right)^2=49[/tex]

[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]x=4,\:x=-3[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The solutions for the equation 3(x+2)^2 - 3 = 0 are x = -3 and x = -1

Answer: True
Explanation:

[tex]3\left(x+2\right)^2-3+3=0+3[/tex]

[tex]3\left(x+2\right)^2=3[/tex]

[tex]\frac{3\left(x+2\right)^2}{3}=\frac{3}{3}[/tex]

[tex]\left(x+2\right)^2=1[/tex]

[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]x=-1,\:x=-3[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The solutions for the equation 5x^2 - 180 = 0 are x = 6 and x  = -6

Answer: True

Explanation:

[tex]5x^2-180+180=0+180[/tex]

[tex]5x^2=180[/tex]

[tex]\frac{5x^2}{5}=\frac{180}{5}[/tex]

[tex]x^2=36[/tex]

[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]x=\sqrt{36},\:x=-\sqrt{36}[/tex]

[tex]x=6,\:x=-6[/tex]

~Lenvy~

Solve the equation:
4x-x=600

Answers

Answer:

x=200

Step-by-step explanation:

4x-x=600

3x=600

divide by 3

x=200

to check your work:

4(200)-200=600

800-200=600

Write the expression as a product.
25-(a + 7)^2

Answers

[tex]25 - ({a + 7})^{2} = [/tex]

[tex](5 + (a + 7))(5 - (a + 7)) = [/tex]

[tex](a + 12)( - a - 2)[/tex]

Have a great day ♡

25-(a+7)^2
(5-(a+7))x(5+(a+7))
(5-a-7)x(5+a+7)
(a+12) (-2-a)

PLEASE HELP QUICK !!!!

For each of the following functions, list the excluded values from the
domain:
f (x) =
g(x) =
2-3
22 9
h(x) = V16 – 22

Answers

Answer:

fx is 4, gx is 3, hx is anything greater than, not equal to, 4.

Hope this helps!

Describe what happens to a figure when the given sequence of transformations is applied

to it: (x, y) → (-x, y); (x, y) → (0.5x, 0.5y); (x, y) → (x - 2, y + 2)

Answers

The transformation rule used are the reflection over the y-axis, dilation and vertical and horizontal shift.

Transformation of coordinates

The translation rule for reflection of the coordinate point (x, y) across the y-axis is (-x, y)

The rule (x, y) → (0.5x, 0.5y) shows a dilation of the coordinate (x, y) by a factor of 0.5. It will reduce the size of the resulting figure since the factor is less than 1.

The rule  (x, y) → (x - 2, y + 2) shows that the figure then shifted horizontally by 2units to the right and up by 2units.

Learn more on translation here: https://brainly.com/question/12861087

What is the area of this triangle?
Enter your answer in the box.
units

Answers

Answer:

[tex]S=\frac{1}{2}\times4\times4=8\ {\rm units}^2[/tex]

[tex]\left\{co\ calculate\right.\ \ \ \ \ \ \ \ \ \ \left\{S=\frac{1}{2}\right.\left.\ ah\right\}[/tex]

I hope this helps you

:)

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(1) 25C (3) 35C (2) 30.C (4) 40.C 7 ________8) A liquid boils when the vapor pressure of the liquid equals the atmospheric pressure on the surface of the liquid. Using Reference Table H, determine the boiling point of water when the atmospheric pressure is 90. kPa. _____________Table F: Solubility Guidelines1. Based on the Solubility Guidelines chemistry reference table, a saturated solution ofWhich salt would be most concentrated?A) ZnCl2 B) AgCl C)BaSO4 D) PbCrO4Explain your answer.________________________________________________________________________2. Based on the Solubility Guidelines chemistry reference table, which saturated solutionwould be the least concentrated?A) barium sulfate B) sodium sulfate C) potassium sulfate D) lithium sulfateExplain your answer.________________________________________________________________________3. Solutions of AgNO3 (aq) and KCl (aq) are mixed. Will a visible reaction occur? 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