If $1,000 is invested in an account that pays 4% interest compounded annually, an expression that represents the amount in the account at end of three years can be given by which of the following equations?

A. 1000+0.4^3
B. 1000(0.3)^3
C. 1000(1.04)^3 ...?

Answers

Answer 1
The answer is C.1000(1.04)^3
Answer 2
Since the equation is balance = principal (1 + rate of interest) ^ time, then the correct answer should be C. 1000 (1.04)^3. 

Related Questions

How many atoms of oxygen are in one formula unit of Ca(No3)2?

Answers

The answer here would be 6 atoms
The given compound is Calcium Nitrate, which is formed by combing Calcium, Oxygen and Nitrogen atoms.

In the compound [tex]Ca(NO_3 )_2[/tex],the subscript, 3 implies that, there are three atoms of oxygen in the parenthesis.

The 2 outside the parenthesis tells us the nitrate[tex](NO_3)[/tex] is doubled and that each atom is also doubled.

In order to obtain the number of oxygen atoms in the compound, we have to multiply the subscript, [tex]3[/tex] of oxygen, by the subscript [tex]2[/tex] which is outside the parenthesis.

This implies that,

The number of oxygen atoms [tex]=3\times2=6[/tex]

Therefore there are [tex]6[/tex] oxygen atoms in the given compound.

PLEASE ANYONE HELP MEEE!!!!

An equilateral triangle has an apothem of 5 cm. Find the perimeter of the triangle to the nearest centimeter.

A.

26 cm
B.

52 cm
C.

75 cm
D.

100 cm"

Answers

Well, as the  apothem is  = s/2*Tan(180/n). 
5 = S/2*Tan(180/3), S = 17.32 cm. 
P = 17.32 + 17.32 + 17.32 = 52 cm.
So your option will be the second one: B. 52 cm.
Hope this is useful

Fill in the blank: A concave polygon is ________ that _______ ...?

Answers

Hi , here is the answer
A concave polygon is a polygon that has one or more interior angles greater than 180 degrees.
 

A concave polygon is polygon that is not convex

2 1/2 divided by 4. can you please answer i need help

Answers

The answer would be 5/8, 62.5% in percentage mode, and 0.625 in decimal.

Convert 2 1/2 to a
improper fraction

Simplify 2 * 2 to 4

Simplify 4 + 1 to 5

Simplify

Simplify 2 * 4 to 8

Now fuse it together and it would be 5/8.

Answer:

5/8

Step-by-step explanation:


Which of the following algebraic equations could represent the sentence, "The product of a number and five is 11"?


a,x+ 5 = 11
b,x- 5 = 11
c,= 11
d,5x= 11

Answers

The Answer Is : X + 5 = 11

Explain why the graph shown may be misleading.

Answers

this could be misleading because the vehicles have space in between them. It could be misleading and/or inaccurate because there is "space" not getting measured

As they are lined out, the amounts must correlate horizontally, so the compacts should be longer than the rest, the mid-size behind it, and the trucks half-way between the compacts and the mid-size.

What is graph?

It is defined as the data representation in visual way, and it makes the appearance of the data simpler.

As we can see in the graph:

Total of 40 compact cars, 4 of 10 each.

Total of 30 mid-size, 3 of 10 each.

And Total of 20 trucks,

However, they all appear to have the same start and end points in the graph, with the mid-sizes being longer than the compacts and the trucks being considerably larger than the others above it, virtually implying that the amounts for all are identical for that period.

Thus, as they are lined out, the amounts must correlate horizontally, so the compacts should be longer than the rest, the mid-size behind it, and the trucks half-way between the compacts and the mid-size.

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Are 37 and 65 71 82 are prime or composite number

Answers

I hope this helps you




37=1.37 prime


71=1.71 prime


65=5.13 composite


82=2.41 composite

Please help
F(x)=x^2 +1, g(x)=5x how to solve

Answers

Set them equal to each other and solve for x

x^2+1 = 5x
x^2-5x+1 = 0

using the quadratic formula from here yields 

x = 4.791287848 or x = 0.208712152

which are approximate solutions

The hu family goes out for lunch and the price of the meal is $45 the sales tax on the meal is 6% and the family also leaves a 20% tip on the pre-tax amount what is the total cost of the meal ?

Answers

$56.70 Is your answer

1.) 7, 9, 11, 13, . . . is it 2.) 2,1, 1 , 1
2 4
A.) arithmetic A.) arithmetic
B.) geometric B.) geometric
C.) both C.) both
D.) neither D.) neither

Answers

I am gonna guess it is C. Both for this one.

You deposit 6000 in an account that pays 5.25 interest compounded semiannually. after 10 years, the interest rate is increased to 5.4% compounded quarterly. what will be the value of the account after 18 years. (round to the nearest dollar)

Answers

Final answer:

The account value after 18 years with an initial deposit of $6,000 and a change in interest rate and compounding periods is approximately $15,526 when rounded to the nearest dollar.

Explanation:

To calculate the value of the account after 18 years with a change in the interest rate and compounding periods, we need to use the compound interest formula separately for the two different periods and rates.

First, we compound the original $6,000 at 5.25% semiannually for 10 years:

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

A = $6,000(1 + 0.0525/2)(2*10) = $6,000(1.02625)20 = $9,984.21 (rounded)

Now, we take the amount after 10 years and compound it at 5.4% quarterly for the remaining 8 years:

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

A = $9,984.21(1 + 0.054/4)(4*8) = $9,984.21(1.0135)32 = $15,526.14 (rounded)

So, after 18 years, the value of the account would be $15,526 (rounded to the nearest dollar).

convert .98 to percent ...?

Answers

in  .98  you'd move the decimal twice to the right so it will be 98%
We simply multiply a decimal by 100 to convert it into a percentage.
0.98 x 100 = 98%

A basketball player scored 19 times during one game. She scored a total of 25 points, two for each two-point shot and one for each free throw. How many two point shots did she make? How many free throws?

Answers

6 two-pointers and 13 free throws

Answer:

Step-by-step explanation:

It said free points

Claire can run 100 meters in 17 seconds. what is her speed in meters per second?

Answers

Her speed is about 5.9 meters per second.

What is 36/60 as a decimal?

Answers

It would be: 36/60 = 6/10 = 0.6

So, in decimal form, it would be 0.6

Hope it helped.

How many 20 cm by 30 cm rectangular tiles would you need to tile the outdoor are shown below?
I calculated that the area of the shape is 10.95m squared, but the answer in the book (183 tiles) is different then the answer I got.
Where did I go wrong?

Answers

What answer did you get.



Final answer:

The issue was inconsistent units - converting everything to cm squared, the appropriate number of 20 by 30 cm tiles to cover an area of 10.95m squared is 183.

Explanation:

The problem here involves area measurement and conversions. The area of the outdoor space is given in square meters (m²), while the area of the tiles is given in square centimeters (cm²). Therefore, the first step here is to convert all measurements to the same unit.

Since 1 meter is equal to 100 centimeters, we can convert the area of the outdoor space to square centimeters by squaring 100 (which equals to 10,000) and then multiplying it by the area in square meters. That gives us 109,500 cm².

Next, to find the area of a single tile we multiply its length by its width, which is 20 cm by 30 cm, giving us 600 cm². The number of tiles needed will be the total area divided by the area of one tile. So, 109,500 cm² divided by 600 cm² equals to about 182.5.

Since we cannot have a half tile, we round up that number to 183 tiles. Therefore, the correct answer is 183 tiles.

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FIND MISSING ANGLES

D1=
D2=
D3=
D4=
D5=
D6=

Answers

1= 45
*there is no 2?*
3= 110
4= 45
5= 110

Solve for y. y 1.05 = 7.26 y = 8.31 y = -8.31 y = 6.21 y = -6.21

Answers

You haven't written the question properly because we have nothing to base y on.

Move all terms not containing  y  to the right side of the equation. You should get y=6.21

Which completes the syllogism? If a polygon is a square, then it has four congruent sides. If a polygon has four congruent sides, then it is a rhombus. Therefore, …
A. if a polygon is a square, then it is a rhombus.

B.if a polygon is a rhombus, then it is a square.

C.if a polygon is a rhombus, then it is a parallelogram.

D.if a polygon has four congruent sides, then it is a square.

Answers

D.if a polygon has four congruent sides, then it is a square.

Answer:

Step-by-step explanation:

Explain why you can use subtraction to solve a division problem.

Answers

Modular Arithmetic
a is congruent to bmod (n)
Note that b is remainder after a goes into n
since n|a-b
consider 5z={0,1,2,3,4}
12=2mod5 since 5|12-2 => 5|10 => 2 which is remainder of 5 into 12 two times

Which of the following is a counterexample to that statement “All prime numbers are odd”

a:The statement has no counterexamples

b:What you are trying to prove

c:The theorems you will use

d: The definitions of important vocabulary




...?

Answers

The best and most correct answer among the choices provided by your question is the first choice or letter A.

The statement above has no counter-examples.


I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

if sin theta =1/4, theta in quadrant II, find the exact value of cos[theta +pi/6]

Answers

Using cos addition formula:
use x for theta
cos(x+π/6)=cosx*cos(π/6)-sinx*sin(π/6)
sinx=1/4
cosx=√15/4
cos(π/6)=√3/2
sin(π/6)=1/2
cos(x+π/6)=(√15/4*√3/2)-(1/4*1/2)
cos(x+π/6)=(√45/8)-(1/8 )
cos(x+π/6)=(√45-1)/8)

The exact value of cos(θ + π/6) when sin θ = 1/4 and θ is in quadrant II is (-√(45) - 1)/8, found by using the Pythagorean identity and the angle sum identity.

To find the exact value of cos(θ + π/6) when sin θ = 1/4 and θ is in quadrant II, we can use trigonometric identities and properties of angles. First, we use the Pythagorean identity to find cos θ. Since θ is in the second quadrant, cos θ is negative and solving for cos θ gives cos θ = -√(1 - sin² θ) = -√(1 - (1/4)²) = -√(15)/4.

Next, we apply the angle sum identity for cosine, which is cos(α + β) = cos α cos β - sin α sin β. Using this identity, we find:

cos(θ + π/6) = cos θ cos(π/6) - sin θ sin(π/6) = (-√(15)/4)(√(3)/2) - (1/4)(1/2) = -√(45)/8 - 1/8 = (-√(45) - 1) / 8.

3. All but one of the following statements contains a blunder. Which statement is correct? (a) There is a correlation of 0.54 between the social intelligence of a 6-year old and his weight. (b) The correlation between number of seeds planted and amount of grass grown was found to be r = 0.23 acres. (c) The correlation between the gas mileage of a car and its weight is r = 0.71 MPG. (d) We found a high correlation (r = 1.09) between the height and age of children. (e) We found a correlation of r = -.63 between gender and political party preference.

Answers

I'm pretty sure it's b.. when in doubt choose b
Final answer:

The correct statement is (a), 'There is a correlation of 0.54 between the social intelligence of a 6-year old and his weight.' Correlation values range from -1 to +1, and units or nominal variables can't be used.

Explanation:

The correct statement among the given options is (a) 'There is a correlation of 0.54 between the social intelligence of a 6-year old and his weight.' In a correlation, the value ranges from -1 to +1 where -1 indicates a perfect negative correlation, +1 indicates a perfect positive correlation, and 0 indicates no correlation. The other statements, (b), (c), (d) and (e), are blunders because the correlation value (r) in (d) exceeds +1 which is impossible, the units in (b) and (c) are incorrectly applied as correlation doesn't have physical units, and in (e), gender is a nominal variable for which correlation cannot be calculated.

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Which statement describes the graph of f(x) = 4x2 + 20x + 25?

The graph does not intersect the x-axis.
The graph touches the x-axis at (–2.5, 0).
The graph intersects the x-axis at (–0.4, 0) and (0.4, 0).
The graph intersects the x-axis at (2, 0) and (5, 0).

Answers

the answer is 

y = f(x) = 4x2 + 20x + 25= (2x+5)²
(2x+5)²=0 implies (2x+5)=0 implies 2x=-5, x = –2.5

finally the answer is 
The graph touches the x-axis at (–2.5, 0).

The graph touches the x-axis at (–2.5, 0). The answer is the second option The graph touches the x-axis at (–2.5, 0)

Graph of a quadratic function

The given function is f(x) = 4x² + 20x + 25

The table of values for the function from -1 to -4 is

x          -1     -2   -3    -4

f(x)       9      1   1      9

The graph of the function is attached below

From the graph, we can observe that the graph touches the x-axis at the point (-2.5, 0)

Hence, the graph touches the x-axis at (–2.5, 0). The answer is the second option The graph touches the x-axis at (–2.5, 0).

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A rectangle has a width of 7.9 ft and a perimeter of 27.2 ft.



Enter the length of the rectangle, in decimal form, in the box.

Answers

2(l + b) = 27.2
2(l + 7.9)= 27.2
2l + 15.8 = 27.2
2l = 11.4
l = 5.7 ft

I just had the same question and the answer was 5.7. Hope this helps somebody

A rectangle has an area of 3 square feet and a width of 1/2 foot. What is the length of the rectangle ?

Answers

We Know, Area = Length * Width
Here, A = 3
W = 1/2

Substitute it into the expression,
3 = L * 1/2
L = 3/ 1/2
L = 3/2 ft²

So, the length of the rectangle would be 3/2 ft²

Hope this helps!

If Martha earns $6.50 per hour for babysitting, how much will she earn in: 1.5 hours? 2.5 hours? 3.5 hours?

Answers

in 1.5 hours she will get 9.75 
in 2.5 hours he will get 16.25
and in 3.5 hours she will get 22.75 

Martha earns $6.50 per hour, so for 1.5 hours, she will earn $9.75; for 2.5 hours, she will earn $16.25; and for 3.5 hours, she will earn $22.75. We simply multiply her hourly wage by the number of hours to find the total earnings for each duration.

If Martha earns $6.50 per hour for babysitting, we can find out how much she will earn for different numbers of hours by multiplying her hourly rate by the number of hours worked.

For 1.5 hours: $6.50 * 1.5 = $9.75For 2.5 hours: $6.50 * 2.5 = $16.25For 3.5 hours: $6.50 * 3.5 = $22.75

As a result:

Martha will earn $9.75 for 1.5 hours of babysitting.Martha will earn $16.25 for 2.5 hours of babysitting.Martha will earn $22.75 for 3.5 hours of babysitting.

What is the value of the expression when a = 4, b = 3 ,and c = 10? 3a4b−c

Answers

Answer:

9yb

Step-by-step explanation:

what is this equation in slope intercept form? 4y+12x=0

Answers

4y + 12x - 12x = 0 - 12x
4y = -12x
y = -3x
Final answer:

The equation 4y + 12x = 0 in slope-intercept form is y = -3x. The slope (m) is -3, and since there is no constant term, the y-intercept (b) is 0.

Explanation:

The equation provided, 4y + 12x = 0, can be converted into slope-intercept form, which is represented by y = mx + b. The slope, m, indicates the steepness of the line, while the y-intercept, b, denotes the y-value when x equals zero or where the line crosses the y-axis. Let's rearrange the equation step-by-step:

First, isolate the y variable by subtracting 12x from both sides: 4y = -12x.Next, divide each side by 4 to solve for y: y = -12x / 4.This simplifies to: y = -3x.

Here, the slope (m) is -3, indicating a decrease in y by 3 units for every increase of 1 unit in x. The equation does not have a b term, thereby indicating that the y-intercept (b) is 0. Hence, the slope-intercept form of the equation is y = -3x + 0, which can be simplified to y = -3x.

How much would Howard Steele need to invest today so that he may withdraw $12,000 each year for the next 20 years, assuming a rate of 8 percent compounded annually? $117,817.20 or $454,144.00 or $112,817.20 or $549,144.

Answers

The best answer will be the $117,817.20. Howard Steele need to invest $117,817.20
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