Felix's parents opened a savings
account for him when he was born with
a $2,000 deposit. The account earns 6%
compound interest, compounded
annually. How much money will be in
Felix's account when he is 21?

Answers

Answer 1

The money in the Felix's account will be $6798 when he is 21.

Step-by-step explanation:

It is given that,

The amount deposited is $2000.The account earns 6%  compound interest.It is compounded  annually for 21 years.

To find the money in Felix's account after 21 years :

The formula used here is,

⇒ [tex]A = P(1+r/n)^{nt}[/tex]

where A is the amount after 21 years.

P is the initial amount deposited ⇒ P = 2000r is the rate ⇒ r = 0.06n is the number of times interest is compounded per year⇒ n = 1 t is the time period ⇒ t = 21

⇒ [tex]2000(1+0.06/1)^{21\times 1}[/tex]

⇒ [tex]2000(1.06)^{21}[/tex]

⇒ [tex]2000\times3.399[/tex]

⇒ [tex]6798[/tex]

Therefore, The money in the Felix's account will be $6798 when he is 21.


Related Questions

A right angle. A line comes out of the angle to split the angle into 52 degrees and blank.
Melinda has a scrap piece of fabric with one angle measuring 52°. If she needs to find a complementary angle, what angle measure does she need to cut the next piece?


Melinda should cut the piece of fabric at an angle of
°.

Answers

Answer:

38

Step-by-step explanation:

90-52=38

Answer: 38

Step-by-step explanation:

i said so

Choose yes or no to tell whether the expression represent a 20% discount off the price of an item that originally cost d dollars

A. 0.8d
B. d - 0.2
C. d - 0.2d
D. 1 - 0.2d

Answers

Answer: B. d - 0.2

Step-by-step explanation: 20%= 20/100= 0.2

Which means = d-0.2

Hope this helped.

Answer:

B: d- 0.2

Step-by-step explanation:

If a great white shark swam 24.9 miles per hour for 8 hours, how far did it swim?

Answers

Answer:

199.2 miles

Step-by-step explanation:

Make a proportion

24.9/1=x/8

Cross multiply

x=199.2

So the shark swam 199.2 miles

Hope this helps! :)

triangular prism: V = 42 cm3
base length = 2 cm; base height = 6 cm
What is the height?

Answers

Answer:

the explanation is in the picture

don't mind my messy handwriting

please like and Mark as brainliest

A sample contains 10 pairs of values. Find the critical value for the linear correlation coefficient from Table A-6 corresponding to a 0.01 significance level.
a. 0.684
b. 0.632
c. 0.765
d. 0.798

Answers

The closest options provided are c. 0.765 or d. 0.798.

The question involves determining the critical value for the linear correlation coefficient for a sample with 10 pairs of values at a 0.01 significance level. Since the sample size is 10, the degrees of freedom (df) would be calculated as n - 2, which equals 8 (10 - 2 = 8). According to the provided studies and tables of critical values for determining the significance of a correlation coefficient, we reference a critical values table specific to our degrees of freedom and significance level.

At a 0.01 significance level and with 8 degrees of freedom, the corresponding critical value would typically be found in a statistical table designed for this purpose. However, based on the example given in the context, which is using a table with a standard significance level of α = 0.05, we can infer that the critical value for α = 0.01 would be higher, as the significance level is more stringent. None of the provided options (a. 0.684, b. 0.632, c. 0.765, d. 0.798) directly match the information given, but option c. 0.765 or d. 0.798 would typically be closer to a critical value at an α = 0.01 level with 8 degrees of freedom.

PLEASE PLEASE HELP the question is below

Answers

Answer:

D)90

Step-by-step explanation:

First you work out 3^4 which is 81.

Then add 9 to it and it becomes 90.

Answer:

D.90

Step-by-step explanation:

3x3x3x3=9x9=81+9=90

PLEASE HELP!!! WILL GIVE FIRST ANSWER BRAINLEST!!!!18 is 1.2% of what number

Answers

So the right answer is 1500.

look at the attached picture

Hope it will help you..

Answer:

The answer is 1500

Step-by-step explanation:

1500*0.012=18

What is the equation of the line that contains the points (2,6) and (-2,4)

Answers

Answer:

y =1 /2 x+ 5

Step-by-step explanation:

Answer:

y=1/2x+5

graph the points and do the change of y over the change of x to get slope

the 5 is y intercept when you connect the two points where the line touches the y axis the y point is the y- intercept

9=4t t=? i need help

Answers

Answer:

t=2.25

Step-by-step explanation:

You want to find out what t is.

If 4t = 9, the how much is t?

First step is to divide 9 by 4.

When you divide 9 by 4, you find out how much t is.

When you divide 9 by 4, you get 2.25, or 2 1/4

Answer:

2.250

Step-by-step explanation:

-4t+9 = 0

Subtract  9  from both sides of the equation :

                     -4t = -9

Multiply both sides of the equation by (-1) :  4t = 9

Divide both sides of the equation by 4:

                    t = 9/4 = 2.250

Anybody help? Really hard :/

Answers

Answer:

24°

Step-by-step explanation: a flat surface=180° 180-156=24

Answer:

24 °

Step-by-step explanation:

Supplementary angles are two angles that add up to 180°

One angle is 156 so 180-156 gives you the angle of the missing angle. The answer of 180-156 is 24 so therefore, x=24°

(Please mark brainliest)

Which should Mark do to increase his credit score?

Answers

Steps to Improve Your Credit Scores

Pay Your Bills on Time. ...

Get Credit for Making Utility and Cell Phone Payments on Time. ...

Pay off Debt and Keep Balances Low on Credit Cards and Other Revolving Credit. ...

Apply for and Open New Credit Accounts Only as Needed. ...

Don't Close Unused Credit Cards.

Answer:

Pay off his personal loan for his entertainment system.

Step-by-step explanation:

Please, I need help!

If a data set is skewed, and most of the data are at the lower end of the data, which is a better measure of center? Explain.

Answers

Answer:

median

Step-by-step explanation:

median is not affected by outliers of skewed data, while mean is greatly affected by skewed data. Median is always the best to use when the data is skewed.

Answer:

The median; it is less sensitive to outliers in a data set.

Step-by-step explanation:

solve for p

7/p = 8/9

p=?

Answers

Answer:

7 7/8

Step-by-step explanation:

7 7/8 just cross multiply and divide by eight

The sum of two-sevenths of a number and 3 is 9. Can you please write out into an equation>~

Answers

Answer:

2/7x +3=9

x=21

Step-by-step explanation:

Let the unknown be x.

Take 3 to the other side so: 2/7 multiplied by x= 6

Divide 6 by 2/7 to get the answer;

Therefore x=21

Sub back into equation to check answer.

Answer:

The equation is: 2/7x + 3 = 9

The unknown number is: 21

Step-by-step explanation:

Write as an unknown value (using a variable)

2/7ths of a number = 2/7x

Write as an equation

2/7x + 3 = 9

Subtract 3 from both sides of the equation

2/7x = 6

Divide both sides of the equation by 2/7

x = 21

The equation is: 2/7x + 3 = 9

The unknown number is: 21

Hope this helps :)

If you know the answer comment Please

Answers

Answer: D, It is a function because there is only one y value for every x value.

Use the inequality to express the statement in symbols. The population (P) varied from 1000 to 15000 in the rural towns.
PLEASE HELP ME IM IN A FINAL!!!!

Answers

Answer:

[tex]1000\leq P\leq 15000[/tex].

Step-by-step explanation:

It is given that the population (P) varied from 1000 to 15000 in the rural towns.

We need to write an inequality which express the statement in symbols.  

Variable P represents the population of rural towns.

Since population varied from 1000 to 15000, therefore the value of P must be greater than or equal to 1000 and less than or equal to 15000.

It can be written as

[tex]1000\leq P\leq 15000[/tex]

Therefore, the required inequality is [tex]1000\leq P\leq 15000[/tex].

Find the simple interest rate per annum on $22,000, if at the end of 3 years the interest is equal to $6000

Answers

Answer:

9.09 %

Step-by-step explanation:

1). 6000 / 3 = 2000 $ interest per year

2). 2000 / 22 000 = 9.09 %

WELP
The water level of a lake has been increasing each year. The initial water level of the lake was 800 meters, and the water level increases by 1 m each year. Use this information to answer the questions below.

Part A
Since the water level increases by 1 m each year, the increase in water level is the same as the number of years. Write an equation relating final water level (w) to the time in years (t).

Answers

The water level starts at 800. Then, with each year, we add a meter. It means that after t years we add exactly t meters.

So, at any given time t, the water level will be

[tex]w=800+t[/tex]

Please Help!!
First correct answer + branliest

Evaluate without calculator: 167^2−167·67

Answers

Answer: 16700

Step-by-step explanation:

First, we must factor 167^2-167*67

Factoring out 167 gives:

167(167-1*67)

Following Order of Operations, you get 167(167-67) which then gets 167(100)

Then, multiply and get 16700

please hurry solve for c in the diagram in the picture!

Answers

3x and 120 are both vertical degrees.

Essentially, vertical degrees are two angles that are on the exact opposite sides. These vertical degrees are always congruent.

Since 3x and 120 are congruent, we can make an equation to solve for x:

3x = 120
Divide:
x = 40

Let me know if you need any further explanation :)
-T.B.

Answer:

40

Step-by-step explanation:

The angles are vertical angles so they equal each other.

So 3x=120 divide each side by 3 to get x by itself

So x is 40

NEED HELP PLEASE ASAP!!!!

Answers

Answer: The perimeter is 126.

Step-by-step explanation: We are given that XYZ is similar to PQR, and we are given side XY. We divide XY by PQ to find how much XYZ has been dilated, which is by a factor of 6. Knowing this, we multiply side QR by 6 and side PR by 6, which gives us side lengths 30 (XY), 36 (YZ), and 60 (XZ). Adding these up gives us 126 :)

Jordan and Carson go to the movie theater and purchase refreshments for their friends.

Jordan spends a total of $25.75 on 1 bag of popcorn and 3 drinks.

Carson spends a total of $81.25 on 4 bags of popcorn and 9 drinks.

Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink.

Using these equations, determine and state the price of a drink, to the nearest cent.

Answers

Answer:

$7.25

Step-by-step explanation:

Let p=popcorn

Let d=drinks

25.75=1p+3d

81.25=4p+9d

p=4

d=7.25  

Answer:

$7.25

Step-by-step explanation:

Cost of popcorn: x

Cost of drink: y

x + 3y = 25.75

x = 25.75 - 3y

4x + 9y = 81.25

4(25.75 - 3y) + 9y = 81.25

103 - 12y + 9y = 81.25

3y = 103 - 81.25

3y = 21.75

y = 7.25

x = 25.75 - 3(7.25)

x = 4

Find the equation of a
line that goes through point (1.2) and
has an undefined slope.

Answers

Answer:

x = 1.2   if that is really a decimal point.

x = 1 if there is a comma between 1 and 2

Step-by-step explanation:

An undefined slope means that the graph of the line is vertical.

If there is a comma, the first number is the x value. the second is the y value.

If the line is vertical, it passes through all possible y values.  so (1,2) is on that line, also (1,3) , (1,0), (1,100000) etc.

The graphs attached are of x = 1.2  and of an undefined slope passing through point (1,2)

I hope this helps!

A window has an actual height of 4.5 feet. If a blue print has a scale of 3 inches = 2 feet. Find the height of the window in the blue print.

Answers

Answer:

The height of the window in blue print 6.75 inches.

Step-by-step explanation:

Given that, the actual length of the window is 4.5 feet.

If a blue print has a scale of 3 inches = 2 feet.

The actual length of an object is 2 feet then length of the object in blue print is 3 inches.

Then the actual length of an object is 1 feet then length of the object in blue print is (3÷2)  inches =1.5 inches

The height of the window in blue print = (4.5×1.5)= 6.75 inches.

Answer:

6.75 inches

Step-by-step explanation:

Which statement about converting metric units of measurement is true? Use the metric table to help answer the question.

A.There are 0.35 hectoliters in 35 deciliters.
B.There are 7.62 centiliters in 762 liters.
C.There are 6.8 kiloliters in 68 hectoliters.
D.There are 0.75 deciliters in 7.5 liters.

Answers

Answer:

C.There are 6.8 kiloliters in 68 hectoliters.

Step-by-step explanation:

1 hectolitre = 100 litres

1 decilitre = 0.1 litre

1 kilolitre = 1000 litree

6.8 kilolitres = 6800 litres

Or 68 hectolitres

Here's the relevant question What is the median of the data set represented by the dot plot?


Enter the answer in the box.

Answers

Answer:

5

Step-by-step explanation:

There are 9 points, so the middle value is the 5th term. That makes the median = 5

Answer:

5

Step-by-step explanation:

9 data values

Median position:

(9+1)/2

10/2

5th value is the median

At a bake sale Bailey is selling plates with 3 chocolate chip cookies each Julio is selling plates with 2 sugar cookies each if a customer wants to buy the same number of cookies from Bailey and Julio what is the smallest number of cookies they must buy from a person

Answers

Answer:

the least cookies someone can buy from one person is 6

Step-by-step explanation:

Hannah drew a circle with a radius of 30 cm. Jonas drew a circle with a radius of 20 cm.
What is the approximate difference in the areas of their circles?

Answers

Answer:

Sky blue

Step-by-step explanation:

30*2 is 60 (diameter)*pi is 188.4

20*2 is 40 (diameter)*pi is 62.8

I got 125.6 but the 1,256 is the closest one to it, (also did you actually post a quizizz on brainly -_- smh)

The correct answer is the difference in the areas of their circles is approximately 1570.80 cm²,

To find the difference in the areas of the two circles, we first need to calculate the area of each circle using the formula [tex]\( A = \pi r^2 \),[/tex] where [tex]\( r \[/tex]) is the radius of the circle and [tex]\( \pi \)[/tex] is approximately 3.14159.

For Hannah's circle with a radius of 30 cm, the area is:

[tex]\[ A_{Hannah} = \pi \times (30 \text{ cm})^2 = \pi \times 900 \text{ cm}^2 \][/tex]

[tex]\[ A_{Hannah} = 3.14159 \times 900 \text{ cm}^2 \][/tex]

[tex]\[ A_{Hannah} \approx 2827.43 \text{ cm}^2 \][/tex]

For Jonas' circle with a radius of 20 cm, the area is:

[tex]\[ A_{Hannah} \approx 2827.43 \text{ cm}^2 \][/tex]

[tex]\[ A_{Jonas} = 3.14159 \times 400 \text{ cm}^2 \][/tex]

[tex]\[ A_{Jonas} \approx 1256.64 \text{ cm}^2 \][/tex]

Now, to find the difference in the areas, we subtract the area of Jonas' circle from the area of Hannah's circle:

[tex]\[ \text{Difference} = A_{Hannah} - A_{Jonas} \][/tex]

[tex]\[ \text{Difference} \approx 2827.43 \text{ cm}^2 - 1256.64 \text{ cm}^2 \[/tex]]

[tex]\[ \text{Difference} \approx 1570.79 \text{ cm}^2 \][/tex]

However, we can see that the calculated difference is not approximately 314.16 cm². It appears there was a mistake in the calculation. Let's correct the calculation:

[tex]\[ \text{Difference} = A_{Hannah} - A_{Jonas} \][/tex]

[tex]\[ \text{Difference} = (3.14159 \times 900 \text{ cm}^2) - (3.14159 \times 400 \text{ cm}^2) \][/tex]

[tex]\[ \text{Difference} = 3.14159 \times (900 - 400) \text{ cm}^2 \][/tex]

[tex]\[ \text{Difference} = 3.14159 \times 500 \text{ cm}^2 \][/tex]

[tex]\[ \text{Difference} \approx 1570.7963 \text{ cm}^2 \][/tex]

This is still not the expected difference of approximately 314.16 cm². The correct calculation should be as follows:

For Hannah's circle:

[tex]\[ A_{Hannah} = \pi \times (30 \text{ cm})^2 = \pi \times 900 \text{ cm}^2 \][/tex]

[tex]\[ A_{Hannah} = 3.14159 \times 900 \text{ cm}^2 \][/tex]

[tex]\[ A_{Hannah} \approx 2827.43339 \text{ cm}^2 \][/tex]

For Jonas' circle:

[tex]\[ A_{Jonas} = \pi \times (20 \text{ cm})^2 = \pi \times 400 \text{ cm}^2 \][/tex]

[tex]\[ A_{Jonas} = 3.14159 \times 400 \text{ cm}^2 \][/tex]

[tex]\[ A_{Jonas} \approx 1256.637061 \text{ cm}^2 \][/tex]

Now, the correct difference in the areas is:

[tex]\[ \text{Difference} = A_{Hannah} - A_{Jonas} \][/tex]

[tex]\[ \text{Difference} \approx 2827.43339 \text{ cm}^2 - 1256.637061 \text{ cm}^2 \][/tex]

[tex]\[ \text{Difference} \approx 1570.796329 \text{ cm}^2 \][/tex]

This result is still not the expected 314.16 cm². It seems there was a misunderstanding in the initial problem statement or in the interpretation of the Python code provided. The correct difference in the areas of the two circles, based on the calculations, is approximately 1570.80 cm², not 314.16 cm².

Mona always takes the same route when she walks her dog. First, she walks 5 blocks to the park. Then she walks 2 blocks to the elementary school. Finally, she walks 6 blocks to get back home. Mona walks her dog 4 times each day. How many blocks does Mona's dog walk each day?

Answers

Answer:

52 Blocks

Step-by-step explanation:

We need to find how many blocks Mona walks per day.

Info Given:

Number of blocks she walks in one walk.

Add the total blocks in one "route".

[tex]5 + 2 = 7\\7 + 6 = 13[/tex]

Mona walks 13 blocks in one route.

She walks her dog 4 times a day.

[tex]13 * 4 = 52[/tex]

Mona would walk her dog 52 blocks total per day.

Durrell ordered Wendy's delivery and paid $10 for 2 hamburgers, which is a rate of $_____ per hamburger?

Answers

Answer:

5 dollars per hamburger

Step-by-step explanation:

10 divided by 2

Answer:

It is a rate of $5 per hamburger

Step-by-step explanation:

10-5=5

2 x 5= 10

=5

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