A teacher deposits $3,000 in a retirement fund. If she doesn't add any more money to the fund, which earns an annual interest rate of 6%, how much money would she have in 1 year?

Answers

Answer 1
Okay, let me explain:
Take 6% of 3000 and add it to 3000. So basically turn the 6% into a decimal which would be 0.06, and multiply the 3000 by it. So, 3000 x 0.06 which equals 3,180. I hope this time it helped :) message me if you need further instructions.
Answer 2

After one year, the teacher would have $3,180 in the retirement fund without adding any more money to it.

To calculate the amount in the retirement fund after one year, we need to take into account the principal amount deposited and the interest earned over that period. The formula to calculate the total amount after one year is:

Total Amount = Principal Amount + (Principal Amount * Interest Rate)

Where:

Principal Amount = $3,000 (the initial deposit)

Interest Rate = 6% (expressed as a decimal, which is 0.06)

Now, we can plug the values into the formula:

Total Amount = $3,000 + ($3,000 * 0.06)

Total Amount = $3,000 + $180

Total Amount = $3,180

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Related Questions

let f(x)=2/3x-6 what is the inverse function?

Answers

Change f(x) to a y and switch places with y and x as below.
[tex]x= \frac{2}{3} y-6[/tex]

Solve the equation for y
[tex]x + 6 = \frac{2}{3} y[/tex]

Multiply each term by the reciprocal of [tex] \frac{2}{3} [/tex]
[tex] \frac{3}{2} (x+6) = y[/tex]

Distribute
[tex] \frac{3}{2} x+9=y[/tex]

Change y to [tex]f^{-1}(x)[/tex]
[tex]f^{-1}(x)= \frac{3}{2} x+9[/tex]

The quotient of 3,200 and 4 will have -blank- zeros.

A. one
B. two
C. three
D. four

Answers

B. It will have two zeros. Hope this helps!
B 2 hope I helped :)

m/6n ÷ 7m/3n PLEASE HELP!

Answers

m/6n × 3n/7m
1/2 ×1/7 = 1/14

which expression is equivalent to 3c(1/3d-9)-7(c+1)+d(c+4)?

A.2cd-34c+4d-7

B.2cd-7c-4

C.2cd+34c+4d+7

D.2cd+8c+4


Answers

Answer: 2cd - 34c + 4d - 7

During a canned food drive, Bob collected 6 times as many cans as Tom. If t represents the number of cans that Tom collected, which algebraic expression represents the number of cans that Bob collected?

Answers

Final answer:

The algebraic expression that represents the number of cans that Bob collected, given that t represents the number of cans that Tom collected, is 6t.

Explanation:

The algebraic expression that represents the number of cans that Bob collected, given that t represents the number of cans that Tom collected, is 6t. Since Bob collected 6 times as many cans as Tom, we can multiply the number of cans Tom collected by 6 to get the number of cans Bob collected.

If Bob collected 6 times as many cans as Tom, and if we represent the number of cans Tom collected with the variable t, then the algebraic expression that represents the number of cans that Bob collected is 6t. This is because if Tom collected t cans, then Bob, having collected 6 times more, would have collected 6 multiplied by t, which is simply represented as 6t.

Final answer:

The algebraic expression that represents the number of cans that Bob collected is 6t.

Explanation:

The algebraic expression that represents the number of cans that Bob collected is 6t. Since Bob collected 6 times as many cans as Tom, we can represent the number of cans that Bob collected by multiplying Tom's number of cans by 6. Hence, if t represents the number of cans that Tom collected, the expression 6t represents the number of cans that Bob collected.

If the national economy shrank at an annual rate of 6​% per year for four consecutive​ years, then the economy shrank by 24​% over the four-year period

Answers

what is the question?

Find the common fraction equivalent to 0.12


The 12 is repeating.

Please show all steps I have answer just can't figure out steps! Thanks!

Answers

The answer is:  " [tex] \frac{4}{33} [/tex] "  .
______________________________
Given:  0.1212121212..... repeating ;  write that value as a fraction;
______________________________________________________
In other words; we are given:  "0.1212121212..... repeating infinitely" ;  

→ that is to say; "0.12 ...  ;  {the "12" decimal portion repeats infinitely} ; 
_______________________________________________________
→ We write this value, as a fraction, as:  "12/99" ;
__________________________________________
→Explanation:
__________________________________________ 


Note:  "0.99999999...... repeating infinitely;  =  "1" .
_________________________________________
→Since:

Let us say that we have: 

"x = 0.999999 ; repeating infinitely;  

In order words, let us say we have: "x = 0.9.... ;  the "9" decimal repeats infinitely; 
_____________________________________________________
   Then "10x" ;  (that is: "10" multlipled by "x";  or "10*x" or "10x" );  is equal to:

"10" * (0.999999.....)  = 9.99999999...... (the "9" decimal repeats infinitely);

in other words:  10x = 9.99999999....

Divide each side by "10" ;

to get "x = 0.9999999....." ; the decimal "9" repeats indefinitely...." ;

But if you have:  "10x = 10" ;  divide each side of the equation by "10" ; 
   you get: "x = 1" . 
____________________
Also,  if "x = 0.9999...(repeating infinitely); 

then:  10x = 9.99999.
_______________________________________________
           10x  =  9.999999999999999......
       −     x  =  0.999999999999999.......
    _____________________________________
            9x  =  9.00000000000000000000.....

 →  9x = 9 ; 

Divide each side of the equation; to get; 

 9x /9 = 9/ 9 ;  to get:  x = 1 ; and we have: x = 0.9999.... ;  so
  x= 0.99999.... = 1 ; 
__________________________________________________
So, if the numbers "12" is repeating, we divie "12" by "99" ; 
  that is; we divide "12" by "two 9's" ;  since "12" is a "TWO-digit number"; a "two-digit number" is being repeated infinitely.
________________________________________
            So;  0.12121212.....(the "12" is the decimal that repeats infinitely);            
                   
=  12/99 ;  which can be simplified;

Divide each side (both the numerator AND the denominator); by "3" ;
_________________________________________
  " 12/99 "  =  "(12÷3) / (99÷3) = 4/33 " .
_________________________________________
The answer is:  [tex] \frac{4}{33} [/tex]  .
_________________________________________
answer is 4/33 hope this helps

A doctor has an annual income of $152,125. The income tax the doctor has to pay is 6% , what is the amount of income tax in dollars and cents that the doctor has to pay ?

( this is a griddable question by the way )

Answers

I believe the amount of income tax the doctor has to pay is $9,127.5

Answer:

The amount of income tax is $9127.50  or  912750 cents.

Step-by-step explanation:

Amount of annual income = [tex]\$152,125[/tex]

Rate of income tax = [tex]6\%[/tex]

So, the amount of income tax in dollars

[tex]= 6\%[/tex] of [tex]\$152,125[/tex]

[tex]=(\frac{6}{100}\times \$152125 )= \$9,127.50[/tex]

and in cents [tex]=(9127.50\times 100) cents = 912750cents[/tex]

wich distance .easure 7 units

Answers

Normally feet, I don't really understand your question


2bx-be=-8 what is the answer for this question

Answers

go to mathpapa.com mk

Tarra wants to buy grapes. If one pound of grapes costs $1.98, how much does Tarra pay for of a pound of grapes? $0.99 $1.98 $2.48 $3.96

Answers

$1.98 ( I think ) would be your answer you might want to rephrase your question though because it is not clear and doesn't incorporate with answer choices.
$1.98 is the answer to your question

For the equation below, x is the input and y is the output. Choose the ordered pair that makes a true statement for the equation. 

y = -4x + 3

(-1, 1)

(0, -3)

(1, -1)

(2, 10

Answers

The third one down what I got

Answer:

c

Step-by-step explanation:

A car leaves a city with a speed of 90 mph. Three hours later and our of the same city another car in pursuit of the first leaves with a speed of 120 mph. Find the time it takes the scond car to reach the first.

Answers

The second car is 30 minutes

The time it takes the second car to reach the first is 9 hour.

What is speed?

Speed can be calculated as the ratio of distance traveled to the time taken

We are given that car leaves a city with a speed of 90 mph. Three hours later and our of the same city another car in pursuit of the first leaves with a speed of 120 mph.

Consider t be the time since the first car leaves

Distance of first car = 90t

Distance of second car:

120(t - 3)

Therefore, 90t = 120(t - 3)

90t = 120t - 360

360 = 30t

t = 12

The second car takes 12-3 = 9 hours to reach it

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Please bros, I need this.

The following table shows the values of y for different values of x:


x
y

0, 0

1, 1

2, 4




Which statement best explains whether the table represents a linear function or a non-linear function?
It represents a linear function because its points are on a straight line.
It represents a nonlinear function because its points are not on a straight line.
It represents a linear function because its points are not on a straight line.
It represents a nonlinear function because its points are on a straight line.

Answers

The answer is It represents a nonlinear function because its points are not on a straight line.
it represents a nonlinear function because its points are not in a straight line...the slopes are different

Saline solution A is 10% strength and saline solution B is 5% strength. I have an order for 6 litres of an 8% saline solution. To fill the order how many litres of solution A should be diluted with solution B? (Hint. Assume a 1% solution contains r grams of salt per litre.)

Answers

Let x = volume of saline solution A,
y = volume of saline solution B.

We're going to set up two equations. 
Firstly, x + y = 6. That gives us y = 6 – x     (1)

Second, 0.1x + 0.05y = 0.08•6, 
or 0.1x + 0.05y = 0.48               (2)

Substitute (1) into (2):
0.1x + 0.05(6 – x) = 0.48
0.1x + 0.3 – 0.05x = 0.48
0.05x + 0.3 = 0.48

Subtract 0.3 from both sides:
0.05x = 0.18
x = 3.6
Then y = 6 – 3.6 = 2.4

So we have to use 3.6 litres of solution A and 2.4 litres of solution B.


18/5 (or 3.6) liters of solution A should be diluted with solution B.

A school bought $548 in basketball equipment and uniforms costing $29.50 each. The total cost was $2,023. Write an equation you can use to find the number of uniforms the school purchased.

Answers

548 + 29.5x=2023 should be the answer
($2,023-$548) / $29.50 = 50

What the equation means: Since we already know they spent $548 in basketball equipment, we can subtract that from the total cost to find out how much they spent for the uniforms. After that, we have to divide the money used to buy the uniforms by the cost of each uniforms. Your final answer would be 50 uniforms.

I hope this helped you!

* / means the division sign.

It took Lou 2 1/2 gallons of paint to paint one fence.   How many gallons of paint will it take Lou to paint 6 fences that are the same size? Express your answer in simplest form.  

Answers

15 Gallons. 2 1/2 * 6 = 15. 2, 6 times is 12. 1/2, 6 times is 3.

12 + 3 = 15.

Answer: 15 Gallons.

The perimeter of a rectangle is 72 meters. The width is 4 meters less than its length. What is the equation to find the length and width?

Answers

To solve this, make the equation:

2l+2(l-4)=72
4l=80
The length is 20 meters.

Then, plug 20 in the other equation:
w=l-4
The width is 16 meters.

You own and operate a small pizza shop. the shop has been profitable but it needs renovation. you start the renovation only to discover that a pizza chain has bought a vacant building two blocks away and plans to open a shop within 120 days. undoubtedly, competition will intensify. you decide to accelerate renovation work. you are trying to

Answers

In specifics I think you're looking for "Better manage risk by trying to improve your shop before the other one opens."

Carl can swim at a speed of 2/3 meters/second. How many seconds will it take him to swim a 150 meter race

Answers

100 because 2/3 × 150= 100

Explain how you could use the distributive property and mental math to find 5 x 198

Answers

Well you would do 5x8 first and then t hats 40 so put 0 in the ones place and put 4 on top of 9, 5x9 is 45+4=49 so put 9 in the ones place and 4 on top of 1 so 5x1=5 5+4=9. The awsner is 990

What is 279 divided by 24 with a reminder

Answers

     _11_
24| 279
     -24
      ----
         39
        -24
        ------
         15

279 divided by 24 is equal to quotient of 11 and the remainder is 15.

When dividing 279 by 24.

The dividend is dividend.

Divisor is 24.

When 279 is divided by 24, the quotient is 11 with a remainder of 15.

So, 279 divided by 24 is equal to 11 with a remainder of 15.

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A container has a capacity of 3 liters. It contains 1 3/4 liters of water. How much more water is needed to fill the container? Plz explain and show how!! Thank you in advance!! :)

Answers

2 1/4 liters. If it holds 3, and it already has 1 3/4, then all you need to do is subtract 1 3/4 from 3 to get your answer, 2 1/4 liters.

solve fo X

5x
---- - 1 = 9
2

x = ?

Answers

Add 1 on both sides, then multiply 2 on both sides as well
Left with 5x=20, divide 5
X=4

One wintry week a ski town got 15 1/2 inches of snow. On Monday the town got 2 3/4 inches on Tuesday it got 1 1/2 times as much and on Wednesday it got 7/8 inch. How much snow did the town get for the rest of the week

Answers

On Monday the town got 2 3/4 (2.75) inches of snow.
On Tuesday it got 1 1/2 (1.5) times as much: 2.75 x 1.5 = 1.375 (inch)
⇒ On Tuesday the town got 1.375 inch of snow.
On Wednesday it got 7/8 (0.875) inch of snow.
After Monday, Tuesday and Wednesday, the town got:
2.75 + 1.375 + 0.875 = 5 (inches of snow)
For the rest of the week, the town got:
15 1/2 - 5 = 10 1/2 = 10.5 (inches of snow)

What's the slope (0,4) and (-8,-1)

Answers

slope = y2-y1 over x2-x1

-1 - 4= -5

-8-0 - -8

so you get -5/-8

negative divided by negative = positive

 slope = 5/8

slope equals to 5/8 since it is rise over run subtract (-1-4) and the divide that by (-8-0)

Debra found that 6 of the 24 students in her class own a cell phone . What is the ratio of students that own a cell phone to students that do not ? Explain your reasoning to a classmate . ( please help)

Answers

If there are 24 total students, and 6 have a cellphone, then to find the students who do not own a cell phone, do 24-6=18. The ratio is 6:18, and when simplified, 1:3
If 6 students own a phone compared to the 24 that don't would be set up like this 1:4. This is because 24 divided by 6 equals 4. This means for every 1 student that has a phone, there are 4 students who don't have a phone.

A flea weighs 8 decigrams, and an ant weighs 3 milligrams. How much more does a flea weigh than an ant?

Answers

i believe the flea weighs 500 milligrams more. Don't take me for sure, its been a while since I've done this type of problem. Sorry if this didn't help.
yes I make this the same

What is the slope intercept form if the linear equation 2x+3y=6
Drag and drop the appropriate number, symbol, or variable to each box

Answers

all you have to do ia solve for y
2x+3y=6 
3y = -2x + 6
 y= -2/3x + 2
slope intercept form y= -2/3x + 2

answer
y= -2/3x + 2

Divide.

42/-8

Enter your answer as a mixed number, in simplified form, in the box.

Answers

42 / -8 = - 5 2/8 reduces to - 5 1/4
-5/14 i just thouht it would be an good idea
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