On your 16th birthday, you open a savings account with $1000. The account pays 4% compound interest. How much will be in the account on your 50th birthday (the beginning of the 35th year in the account)? i don't really understand compound interest that well

Answers

Answer 1

Answer:

Approximately $4946

Step-by-step explanation:

The compound interest can be determined by:

Compound interest = P [tex](1 + r)^{T}[/tex]

Where: P is the principal, r is the rate and T is the number of years.

Given that: P = $1000, r = 4% and T = 34 years, then;

Compound interest = 1000 [tex](1 + \frac{4}{100}) ^{34}[/tex]

                                = 1000 [tex](1 + 0.04)^{34}[/tex]

                                = 1000 [tex](1.04)^{34}[/tex]

                                = 1000 x 3.79431

                                = 3794.31

Compound interest ≅ $3794

The amount that would be in the account = Principal + interest

                                            = $1000 + $3794

                                            ≅ $4794


Related Questions

Question 6
How do the measures of the anges of polygon ABCD compare with those of the translated images? Based on your observation, what can you
condude about preservation of angle measurements during a translation?

Answers

Answer:

The measures of the angles of polygon ABCD are equal to the measures of the corresponding angles of both translated images. This means that the angles of the  polygon are preserved as the figure is translated in any direction.

Step-by-step explanation:

Answer:

The measures of the interior angles of polygon ABCD are equal to the measures of the corresponding angles in the reflected image. This means that angle measurements of the polygon are preserved as the image is reflected. The same is true for the side lengths. The measures of both angles and sides are preserved in a reflection. A reflection is a rigid transformation.

Step-by-step explanation:

plato

Combine like terms to create an equivalent expression. -\dfrac{1}{2}\left(-3y+10\right)−
2
1

(−3y+10)

Answers

Answer:

3/2y-5

Step-by-step explanation:

The expression – 1/2 (–3y + 10) is equivalent to the expression (3/2)y – 5.

What is an equivalent expression?

The equivalent is the expressions that are in different forms but are equal to the same value.

The expression is given below.

⇒ – 1/2 (–3y + 10)

Simplify the equation, we have

⇒ (3/2)y – 5

More about the equivalent link is given below.

https://brainly.com/question/889935

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Suppose that the function LaTeX: f(x) f ( x ) is shifted horizontally to the right by LaTeX: a a , reflected across the LaTeX: x x -axis, and shifted vertically down by LaTeX: b b to become the function LaTeX: g(x) g ( x ) . Write the function LaTeX: g(x) g ( x ) in terms of LaTeX: f(x) f ( x ) and explain each of the shifts

Answers

Answer:

[tex]g(x) = (x-a,-y - b)[/tex]

Step-by-step explanation:

Given

Represent f(x) as follows:

[tex]f(x) = (x,y)[/tex]

Transformations:

Horizontally shifted right by a

Reflected across x axis

Vertically shifted down by b

Taking the transformations one after the other.

Horizontally shifted right by a

When a function is shifted right, the resulting function is:

[tex]f' = (x-a,y)[/tex]

Reflected across x axis

Here, the x axis remains unaltered while the y axis is negated

[tex]f' = (x-a,y)[/tex]

becomes

[tex]f" = (x-a,-y)[/tex]

Vertically shifted down by b

When a function is shifted down by b, the resulting function is:

[tex]f"' = f" - b[/tex]

i.e, subtract b from the function (f(x) or y, as the case may be)

So, we have:

[tex]f"' = (x-a,-y - b)[/tex]

Represent f"' with g(x)

[tex]g(x) = (x-a,-y - b)[/tex]

Find the area of the polygon with
E(3, 1), F(3, – 2), GC – 2, - 2)

Answers

Answer:

7.5 square units

Step-by-step explanation:

A = (.5)bh

= (.5)(3)(5)

= (.5)(15)

= 7.5

Help me out please I'll give brain list

Answers

Answer:

b

Step-by-step explanation:

hope this helps

B because they are all attached to the bell which will allow it to make noise hope this helped

Help plz and thanks

Answers

Answer:

8

Step-by-step explanation:

4x4=16x8=128

Brandon was on vacation for 2 weeks and 1 day. He spent the same amount of time with each of his 3 brothers. How many days did he spend with each brother?

Answers

Answer:

2.67 days each

Step-by-step explanation:

Answer: 2.67

Step-by-step explanation:


Two congruent figures
have the same perimeter.
O sometimes
O Never
O Always

Answers

Answer:

always

Step-by-step explanation:

Please help will give brainliest (please don’t answer if you don’t know it)

Answers

Answer:

it is 3 or 21

Step-by-step explanation:

because STUVW is equal to HGFED

the answer is 3, it is the same length as ST

You want to buy a guitar that costs $425, but today there is a sale of 30% off. What is
the sale price of the guitar you want to buy? Would it be a mark up or a mark down and how do you know?

Answers

Answer:

297.50

Step-by-step explanation:

This would be considered a markdown because the guitar is on sale.

Every relation that is linear, must also be a function true or false

Answers

Answer:

In order to be a linear function, a graph must be both linear (a straight line) and a function (matching each x-value to only one y-value).

Step-by-step explanation:

I hope this helps, sorry if it doesn't good luck

It is false that Every relation that is linear, must also be a function.

Given that,
A statement is to be justify that, whether is true and false that Every relation that is linear, must also be a function.

What are functions?

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is the independent variable while Y is the dependent variable.

What is a linear function?

Linear functions are defined as functions whose graph is a straight line. A linear function has the following form. example f(x) = 1 + 2x. A linear function has only independent variable and only a dependent variable.

Let's understand with an example,
If y = 1 *[tex]x^0[/tex] , is a linear function but it's a verticle straight line. for every value of x, y is independent of x so for the function it is necessary that the function should be consist of an independent variable and a dependent variable,
Implies every function that is linear must not also a function.

Thus, It is false that Every relation that is linear must also be a function.

Learn more about function here:

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I WILL GIVE BRAINLEST PLZ HELP!!!
Analyzing Slope On a coordinate plane, a line goes through points (4, 24) and (16, 18). Willa says the slope of the graph is Negative one-third. What error did she make when finding the slope? The slope is positive instead of negative. She counted the squares instead of using the scale. She used the points that are further apart instead of the two consecutive points. She used StartFraction rise Over run EndFraction when finding slope.

Answers

Step-by-step explanation:

The Slope is calculated as the change in y over the change in x so you would need to do 5- (-5) which turns the negative sign to a positive making it 5+5=10 and the same thing with the 2s 2-(-2)=4 so the answer would be 10/4 or 5/2. Willa did the reciprocal.

if it's a multiple chose then the answer is b

hope this helps

Answer:

here is the answer

Step-by-step explanation:

Write the slope-intercept form of the equation for the line containing (1,-6) and (−4,4).

Answers

Answer:

-2

Step-by-step explanation:

m = 10 / -5 = 2 / -1 = -2

Help me please
Find the slope

Answers

Answer:

this is a negative slope.

Step-by-step explanation:

1
2
3
What is the slope of the line represented by the equation y
Y = 4/5x - 3

Answers

4/5 would be the slope, the y-intercept is -3

PLZ HELP ASAP WILL MARK BRAINLIEST

Answers

DEF will be 2.68

EF will be .67

round 18.238 to the nearest tenth

Answers

Answer:

18.2

Step-by-step explanation:

Since the hundreds place is less than 5, it stays the same.

Answer:

18.2, haven't done this for a while now, but I think that should be correct :)

Heyyy yugiii :)) what’s 20 times 50 minus 16 plus 28?

Answers

Answer:

hey do you want to do a zoom

Step-by-step explanation:

i am done with my basketball game

1.) In a department store, a $120 belt is marked 25% off.
What is the discount?
What is the sale price of the dress?

Answers

Answer:

$30

$90

Step-by-step explanation:

Given parameters:

    Selling price of belt = $120

     Percentage discount = 25%

Unknown:

Discount = ?

Sale price of the dress  = ?

Solution:

Discount is a reduction in the price of a commodity.

     Discount  = percentage discount x selling price of belt

 Input the parameters and solve;

I.    Discount  = [tex]\frac{25}{100}[/tex] x 120 = $30

 

II. Sale price of the dress;

               = selling price - discount amount

                 = $120 - $30

                  = $90

PLZ ANSWER THE QUESTION 50 POINTS!!!!!!!

(-4,3) m=2 make this in point slope form

Answers

Answer:

y-3=2(x-(-4))

Or

y-3=2(x+4)

Step-by-step explanation:

Janice earned $725 dollars by working 5 days in a week. What is the average amount that she earned per day?

Answers

Answer:

She made an average of 145$ per day.

Step-by-step explanation:

If she earned 725$ in 5 days, just divide 725 by 5 for your average a day.


At the beginning of a baking session, there were 2.26 kilograms of flour in the bag. By the end of the baking session, there was 0.98 kilogram
of flour in the bag. What is the percent of decrease in the amount of flour? Round the percent to the nearest tenth if necessary?

The answer is not 32 or 43.4.

Answers

Answer:

56.6%

Step-by-step explanation:

To calculate percent decrease, you first subtract the original number with the final number.

2.26 - 0.98 = 1.28

Then, you divide your answer by the original number.

1.28/2.26 = 0.56637168141

Finally, you multiply your answer by 100 and round as necessary.

0.56637168141 x 100 = 56.637168141

What are school of fish ?​

Answers

Answer:

if the fishes stay together for some reasons then it is shoaling if the group is swimming in same direction then it is schooling

A cookie recipe calls for 2 cups
of sugar.
How much sugar will I need if I
only make 2/3 of a batch?

Answers

Answer:

6

Step-by-step explanation:

Answer:I am not sure about the answer but when 2 multipled by 3 X 2 equals to 4/3

If 3 cot theta= 2, find the value of 2sin theta -3cos theta /2sin theta +3cos theta

Answers

Answer:

0

Step-by-step explanation:

Using the trigonometric identity

cotx = [tex]\frac{cosx}{sinx}[/tex]

Given

3cotθ = 2 , then

3[tex]\frac{coso}{sino}[/tex] = 2 ( multiply both sides by sinθ )

3cosθ = 2sinθ ( subtract 3cosθ from both sides )

2sinθ - 3cosθ = 0

Thus

[tex]\frac{2sin0-3cos0}{2sin0+3cos0}[/tex]

= [tex]\frac{0}{2sin0+3cos0}[/tex]

= 0

A 2-pound bag of sugar contains 227 one-teaspoon servings and costs $2.49. A batch of muffins uses 1 2 cup of sugar. How many whole batches can you make if you use as much of the sugar as possible? What is the cost of sugar for each batch? (1 cup = 48 teaspoons; do not consider leftover sugar in the cost calculation.) You can make a total of batches at $ per batch.

Answers

Answer:

a) 9 whole batches can be made

b) The cost of sugar for each batch = $0.26

Step-by-step explanation:

A 2-pound bag of sugar contains 227 one-teaspoon servings and costs $2.49.

This means:

2 pound bag of sugar = 227 teaspoon servings

2 pounds bag of sugar cost $2.49

We are told that:

A batch of muffins uses 1/2 cup of sugar.

a).How many whole batches can you make if you use as much of the sugar as possible?

(1 cup = 48 teaspoons)

Hence, A batch of muffins = 1/2 cups of sugar = 48 teaspoons of sugar ÷ 2

= 24 teaspoons of sugar

Hence:

24 teaspoons of sugar = 1 batch of muffins

227 teaspoons of sugar = x

Cross Multiply

24 × x = 1 × 227

x = 227/24

x = 9.4583333333 batches of muffins

We are asked to name the number of whole batches that can be made.

Therefore, 9 whole batches of muffins can be made

b) What is the cost of sugar for each batch? (do not consider leftover sugar in the cost calculation.) You can make a total of batches at $ per batch.

Since we are not to consider the leftover sugar in the cost calculation,

1 batch = 24 teaspoons of sugar

9 whole batches =

9 × 24 teaspoons = 216 teaspoons of sugar was used

The left over = 227 - 216 = 11 teaspoons of sugar is left

We know that:

227 teaspoons of sugar = $2.49

216 teaspoons of sugar = x

Cross Multiply

= 216 × $2.49/227

= $2.369339207

24 teaspoons of sugar = 1 batch of muffins

Therefore,

216 teaspoons of sugar =

$2.369339207

24 teaspoons of sugar =

24 × $2.369339207/ 216

= $0.2632599119

Approximately = $0.26

Therefore, the cost of sugar for each batch = $0.26

please help ASAP i don't understand what to do

Answers

Answer:

Range is (-5,5)

Step-by-step explanation:

It is the range of y values for the graph

Range is (-5,5).........

Hector is dividing students into groups for a nature hike. He wants to divide the boys and girls so that each group has the same number of both boys and girls. There are 21 boys and 56 girls signed up for the hike. Into how many groups can the students be divided? How many boys and how many girls will be in each group?

Answers

Answer: The students can be divided into 7 groups.

Each group will have 3 boys and 8 girls.

Step-by-step explanation:

There are 21 boys and 56 girls.

To divide them so that each group has the same number of both boys and girls.

We find GCD(21,56).

21 = 3 x 7

56 = 2 x 2 x 2 x 7

GCD (21,56) = 7

So, the students can be divided into 7 groups.

Number of girls in each group = [tex]\dfrac{56}{7}=8[/tex]

Number of boys in each group = [tex]\dfrac{21}{7}=3[/tex]

So, each group will have 3 boys and 8 girls.

1/2 (4x+3) < 1/2 (2x+6)

Answers

Answer:

x< 3/2 hope this helps <3

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

Step 2: Subtract x from both sides.

Step 3: Subtract 3/2 from both sides.

How many times larger is 22700000 than 925000

Answers

Answer:24.54054 times larger

Step-by-step explanation: Divide 22700000 by 925000 and it gives you 24.54054 in the calculator

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