In second grade Eliza was given 500 from her grandparents this money was deposited into a savings account that earns 3% annual interest compounded quarterly find the account balance at graduation is there no other deposits or withdrawals in the account

Answers

Answer 1

Answer:

account balance at graduation is 674.17

Step-by-step explanation:

given data

deposit money P  =  500

interest rate = 3 % compounded quarterly

we take time period = 10 year ( 2nd grade to 12 grade)

solution

we apply here compound interest formula that is

amount = [tex]P \times (1+\frac{r}{4})^{4t}[/tex]      ..................1

put here value and we get

amount = [tex]500 \times (1+\frac{0.03}{4})^{4\times 10}[/tex]

amount = 674.174

so account balance at graduation is 674.17

Answer 2

Answer:

$694.63

Step-by-step explanation:

The formula is p(1+r/n)^tn. P, or the principal amount, is 500 dollars. R, or the rate as a decimal, is 0.03. N, or the number of times compounded yearly, is 4. T, or the time in years, is 11, since there are 11 years from grade 2 to grade 12. 12-2+1=11. Now, plug in the information given. 500(1+0.03/4)^4*11 = 500(1.0075)^44 = 694.63 dollars, rounded to the nearest cent.


Related Questions

How many solutions does 5x+24=5(x+5)

Answers

Answer:

There are no solutions.

For the function f(x) = -3sin(x) + 2, the distance between the maximum and minimum values is 6. Which statement must be true about this function? HINT: It's not B.

A. The amplitude is 3.
B. The midline is y = 3.
C. The period of the function is 3pi.
D. The range is [-3, 3].

Answers

Answer: A. The amplitude is 3.

Step-by-step explanation:

Given function : [tex]f(x) = -3sin(x) + 2[/tex]

Period of a sine function is [tex]2\pi.[/tex]

Since [tex]-1\leq \sin x \leq 1[/tex]

[tex]\Rightarrow\ -3\leq -3\sin x\leq 3\\\\\Rightarrow\ -3+2\leq -3\sin x+2\leq 3+2\\\\\Rightarrow\ -1\leq -3\sin x+2\leq 5[/tex]

i.e. Range is [-1,5]

Amplitude = 3 [coefficient of sin x]

Only option A. is correct.

Please hurry I have 2 weeks of school left I need to pass

Answers

Answer:

41.5 hours

Step-by-step explanation:

310.42 divided by 7.48 = 41.5 hours

HELP PLEASE
68 POINTS!
BRAINLIEST

You can zoom in on the photo for it to be clearer!!

Answers

Hold up I’ll help u

how many solutions does y equals -6x - 7 have ​

Answers

Answer:

Infinitely many solutions.

Step-by-step explanation:

x can be any number, and the y will change with x.

i need your help with math please help

Answers

Answer: 1) y= 9, 4, 1, 0, 1, 4, 9

Step-by-step explanation:

ASAP HW HELP
if you don’t know answer don’t even comment

Answers

Answer:  [tex]y = \frac{1}{2}x+3[/tex]

This is the same as writing y = (1/2)x + 3

========================================================

Explanation:

Two points on the blue line are (0,3) and (2,4)

To go from the left point to the right, we go up 1 and over to the right 2.

Slope = rise/run = 1/2

Or we can use the slope formula to get the same value

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

m = (4-3)/(2-0)

m = 1/2

The y intercept is b = 3 because this is the location on the vertical y axis where the blue line crosses. This is the location (0,3).

With m = 1/2 and b = 3, we go from y = mx+b to y = (1/2)x + 3

On a piece of paper, that would look like the equation [tex]y = \frac{1}{2}x + 3[/tex]

The bottom of a circular swimming pool with a diameter of
9 meters is painted blue. How many square meters are blue?

Answers

Answer: hi

Step-by-step explanation: sorry needed points

what is the slope of equation y=1/3x​

Answers

Answer:

1/3

Step-by-step explanation:

Hey There!

The slope of y=1/3x is 1/3

The number right in front of the x is the slope

Hope this helps :)

Solve for x
-2a+7-3(-9-4a)​

Answers

Answer: a=-3.4

Step-by-step explanation: you mean solve for a:)

-2a+7-3(-9-4a)=0        We would have to equal this equation to 0

-2a+7+27+12a=0         We multiply the -3 with the parentheses

10a+34=0                     Add the like terms, and subtract 34 from both sides

10a=-34                        Then divide both sides by 10

a=-3.4

MY TEACHER IS BEING ANNOYING HELP ME PLS

Answers

Answer:

8

Step-by-step explanation:

I got 8 in a short version. The full answer is not complete. It is 8.18812697...

But if you shorten it, 8 is the best estimation.

I’ll mark you!!! (I got 5 but I just wanna check my answer to see if we got the same answer)

Answers

Answer:

I think its B but I'm not 100% sure

Answer:

Its 20 buckets.

Step-by-step explanation:

Find the missing side. Answer without units

Pls help

Answers

Answer:

3

Step-by-step explanation:

Hope This Helps :)

Plz Mark Brainliest !


I don’t know what to do calculate the surface area for the figure

Answers

Answer:

it is 40!

Step-by-step explanation:

well since area is l x w 13+10=23

and 12+5= 17

f(2)=−14 and g(2)=13 Find (f+g)(2).

Answers

Answer: The value of (f+g)(2) = -1

Step-by-step explanation:

Given: f(2)=-14 and g(2)=13

To find: (f+g)(2)

Addition of two functions:

(f+g)(x) = f(x)+g(x)

Then, (f+g)(2) = f(2)+g(2)

(f+g)(2)  = -14+13  [given]

(f+g)(2)  = -1

Therefore , the value of (f+g)(2) = -1

Look at the picture please!!!!

Answers

Answer for 1:

8x + 10

Answer for 2:

2x + 1

Answer for 3:

-3x - 15

Answer for 4:

2x + 10

Answer for 5:

-3x - 5

Answer for 6:

-17x - 3

Answer for 7:

8x - 18

Answer for 8:

-x + 4

Answer for 9:

4.8x + 5.6

Answer for 10:

1.25x + 1

Answer for 11:

The Dolphins won 7x + 10 more points than the Jaguars

Answer for 12:

The sandwich costs x + 1.01 more than the drink

Answer for 13:

Tuition costs 7x + 25 more than fees

Tuition costs 7x + 72 more than rooms and board

Answer:

1. 9x squared + 34x +21

2. 2x + 1

3. -3x + 15

4. 2x + 10

5. 14x + 3

6. -17x - 3

7. 8x- 18

8. -x + 4

9. -4.8x + 5.6

10. -1.25x + 0.2

11. 7x-4

12. x + 1.01

13. 6x + 22

I think these are the correct answers. Sorry if I'm wrong. I hope this helped!

Step-by-step explanation:

Please help I need it! Will give brainliest

Answers

Answer:

74880

or if your doing addition

44

Step-by-step explanation:

6*12*4*4*5*13

6+12+4+4+5+13

Answer:

the area is 44

Step-by-step explanation:

the reason for it is because 13+5+4+4+12+6=44

Mr.Millar's garden is in the shape of a trapezoid shown below. what is the area of his garden

Answers

Answer:

[tex]Area = 12.5m^2[/tex]

Step-by-step explanation:

Given

See attachment

Required

Determine the area

The area is calculated using:

[tex]Area = \frac{1}{2} * (Sum\ of\ parallel\ sides) * Height[/tex]

From the attached image:

The parallel sides are 4m and 6m respectively while the height is 2,5m

So, the area is:

[tex]Area = \frac{1}{2} * (4m + 6m) * 2.5m[/tex]

[tex]Area = \frac{1}{2} * 10m * 2.5m[/tex]

[tex]Area = 5m * 2.5m[/tex]

[tex]Area = 12.5m^2[/tex]

A quadrilateral has two angles that measure 170° and 75°. The other two angles are in a ratio of 3:20. What are the measures of those two angles?

Answers

Answer:

15° & 100°

Step-by-step explanation:

360-170-75=115

115÷23=5

3x5=15

20x5=100

What Is the dependent variable the shoe size or the height

Answers

Answer:

The dependent variable is the shoe size

Step-by-step explanation:

Which value is nearest to 8? Show thinking in the space provided.
7.511 155/20 8.3%

Answers

Answer:

155/20

Step-by-step explanation:

155/20 in decimal form is 7.75, which is only 0.25 off of 8

7.511 is 0.489 off of 8

8.3% is technically not anywhere near 8 because a percentage needs to be a percentage of something in order to make sense.

Which graph represents the solution to (x – 3)2 + (y + 4)2 > 36?

Answers

Answer:

second choice

Step-by-step explanation:

edge

The region outside the circle is under the consideration. Then the correct option is B.

What is an equation of a circle?

A circle can be characterized by its center's location and its radius's length.

Let the center of the considered circle be at the (h,k) coordinate.

Let the radius of the circle be 'r' units.

Then, the equation of that circle would be:

(x – h)² + (y – k)² = r²

The inequality equation of the graph is given below.

(x – 3)² + (y + 4)² > 36

(x – 3)² + (y + 4)² > 6²

From the equation, the radius of the circle will be 6 units and the center of the circle will be (3, –4).

The region outside the circle is under the consideration.

Then the correct option is B.

The graph is given below.

Learn more about the equation of a circle here:

https://brainly.com/question/10165274

#SPJ5

Paul built a triangular garden in his backyard, which is enclosed by a rectangular fence.




How much of the backyard is not covered by the garden?


452 m2



476 m2



524 m2



548 m2


whats the answer plz

Answers

Answer:

[tex]Area = 476m^2[/tex]

Step-by-step explanation:

Given

See attachment

Required

The uncovered area

First, calculate the area of the rectangle

[tex]Area = Length * Width[/tex]

From the attachment

[tex]Length = 25m[/tex] and [tex]Width = 20m[/tex]

So:

[tex]Area = 25m * 20m[/tex]

[tex]Area = 500m^2[/tex]

The area of the triangle is:

[tex]Area = \frac{1}{2} * Base * Height[/tex]

From the attachment

[tex]Base = 8m[/tex]

[tex]Height = 6m[/tex]

So:

[tex]Area = \frac{1}{2} * 8m * 6m[/tex]

[tex]Area = \frac{1}{2} * 48m^2[/tex]

[tex]Area = 24m^2[/tex]

The uncovered area is:

[tex]Area = 500m^2 - 24m^2[/tex]

[tex]Area = 476m^2[/tex]

A regular hexagon is shown below. Find the value of x.
(11x + 21)°

Answers

Answer:

x=9

Step-by-step explanation:

The expression is for the interior angle of the hexagon; one interior angle is equal to .

Since an interior angle of a hexagon measures 120°, we have the equality

.

Now it is just a matter of solving for  

11x=120-21

11x=99

x=99/11

x=9

The value of {x} for the hexagon shown is 9.

What is Hexagon?

A hexagon is a polygon with 6 equal sides. The perimeter of a hexagon is the sum of all the six lengths. The measure of the interior angle of a hexagon is 120 degrees.

Given is to find the value of {x} in the Hexagon shown below.

The measure of the internal angle of a hexagon is 120 degrees. So, we can write -

(11x + 21) = 120

11x = 120 - 21

11x = 99

x = 9

Therefore, the value of {x} for the hexagon shown is 9.

To solve more questions on HEXAGONS, visit the link below-

https://brainly.com/question/14372779

#SPJ3

Mr.Rivera can grade 8 math tests in 10 minutes what is the teachers unit rate?

Answers

Answer:

0.8

Step-by-step explanation:

Answer: 1 minute and 25 seconds

Step-by-step explanation:

Augustus ruled the roman empire from 27 BC to AD 14.For how many years did he rule?


Answers

Answer:

40 years

Step-by-step explanation:

He was also the first Roman Emperor

Need help to solve this

Answers

4/5 hope it helps!!!!!!

Write each fraction as a decimal. Use bar notation if necessary
1. 8/9
2. -2/5
3. 7/11
4. 7/8
5. -5/11
6. 47/99

Answers

1. 0.89 (rounded)
2. -0.4
3. 0.64 (rounded)
4. 0.875
5. -0.45 (rounded)
6. 0.47 (rounded)

PLEASE SOLVE AND EXPLAIN !!!

Answers

Answer:

3.46

Step-by-step explanation:

What is this question ?

Answers

the answer is $625 :)
Other Questions
Use the distributive property to rewrite expression6. 4(x + 9) = A vibrating object with a high frequency would bedescribed as having a low period.True or false what is 0.24% as a decimal which eqaution is false for x=8 Only one answer :( I will give brainlest Find the annual interest rate. i=$160, P=2000, t=8 months What did Horace advice poets to do before they publish their poetry?Please heeeeelppp me "Identifies necessary help"Which goal-setting step is described by this sentence?Write it downLOcate resourcesTdentify obstaclesSet a timelineCheck in on your progre Pls help I need it today!!!! 80 points!!!!! Part 1: Looking at the data plots, which test do you think the students scored better on? Do you thinkhas more variation than the other or is the variation about the same for both tests? Use complete seanswer and explain your reasoning.Part 2: Calculate the mean (rounded to the nearest whole number) and mean absolute deviation for tPart 3: Do your results from part B prove or disprove your hypotheses from part A? Use complete seranswer and explain your reasoning.MacBook Air What is the surface area of the prism? Which equation best represents the relationship between x and y in the table below? x 1 2 3 45y 6 9 14 21 30y=2x+5y = 2 x + 5y=3x+3y = 3 x + 3y=x2+5y = x 2 + 5y=2x24 The baseball diamond is a square with sides 27.4 m long. If the positive x-axis points from home plate to first base and the positive y-axis points from home plate to third base, find the magnitude and the direction angle of the displacement vector is a base runner who has just hit A) a double, B) a triple, and C) a home run. Im just getting sleepy so befor I sleep mind helping what principle of government best embodies the words in the declaration of independence and why ? (X+5)+(x-5)=56 what does x=? True or False: The largest companies performed the best over the past 12 months. Give evidence to support your answer. answeredI need this done today whoever gets this correct gets brainliest!!! PLZZ HELPP MEE How did Taney define the entire African-American race Iman wrote the inequality below to represent the money, x, that she has. Which situation is correctly represented by the inequality?x < 12 aIman has no more than $12. bIman has less than $12. cIman has more than $12. dIman has at least $12. Add 84.0393 and 231.6581 and round the sum to the nearest hundredths and thousandths