1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Kobotan [32]
3 years ago
10

You invest $2,000.00 in a stock plan and another $2,000.00 in a savings account. The stock plan decreases by 7% the first year a

nd gains 10% the second year. The savings account earns a 3.7% APR and compounds annually. What is the difference in earnings between the stock and savings account at the end of the second year?
Mathematics
1 answer:
galben [10]3 years ago
4 0

Answer:

$104.738

Step-by-step explanation:

Let's work out the <u>stock plan</u> first:

$2,000 - 7% in the first year = $1,860

$1,860 + 10% = $2,046 in the second year

<u>Savings account:</u>

$2,000 + 3.7% = $2,074 in the first year

$2,074 + 3.7% = $2,150.738 in the second year

<u>The difference:</u>

$2,150.738 - $2,046 = $104.738

You might be interested in
What is the inverse equation of the function, y = 3x - 6?
algol [13]
The best answer (and only correct answer) among the answer choices given is:
________________________________________________
                    [C]:    y⁻¹ = (x+6) / 3  .
_________________________________________________
Explanation:
__________________________________________________
 Given the original function:  y = 3x - 6 ;
_________________________________________________
To find the "inverse equation" of said function; we change the "x" to a y"; and the "y" to an "x"; and rewrite:
_________________________________________________
x = 3y <span>− 6 ; 

Now, rewrite in "slope-intercept form" ; or y = mx + b ;
     that is, with y as "single, isolated" variable on the left-hand side of the equation (with an "implied coefficient of positive one", only);  then an "equal sign, then "mx + b" ; in which: "m" is the coefficient of the variable, "x"; and in which "m" refers to the "slope";  and "b" refers to the 'y-intercept".
_____________________________________
So,we have the inverse function: 
____ </span>_________________________________________________
      x = 3y − 6  ;  we want to write in slope-intercept form; 
__________________________________________________
Add   "6" to each side of the equation:
__________________________________
     x + 6 = 3y − 6 + 6 ; 
__________________________________
 x + 6 = 3y ;  
________________________
 ↔ Rewrite as:   3y = x + 6 ; 
________________________________________
 Divide EACH side of the equation by "3" ; to isolate "y" one side of the equation; specifically, the left-hand side of equation; and to write in "slope-intercept form:
______________________________
              3y / 3 = (x + 6) / 3  ;
______________________________
   to get:
______________________________
                  y = (x + 6) / 3 ; 
_________________________________
                 y = (x/3)  + (6/3) ;
____________________________________
                y = (x/3 ) + 2 ;
___________________________________
or;  write as: y = (1/3)x + 2 ;
________________________________________
Now, let us examine the answer choices given:
__________________________________________
Note that all the answer choices begin with "y-1" ;
    (except "answer choice: [B]" , which begins with "x-1").  This seems confusing; however, in reality, this does not mean, "y minus 1"; or "x minus 1".  Rather, it mean y⁻¹  or x⁻¹  as notation for the "inverse" (not to be confused with the exponent notation.  The confusion stems from the fact that it can be difficult to make such notations on the "Brainly" system.
__________________________________________________
That being said, we can write the aforementioned "rewritten equations" (see above in THIS VERY ANSWER) as:
_____________________________________
y⁻¹ = (x + 6) / 3 ; 
_________________________________
                 y⁻¹ = (x/3)  + (6/3) ;
____________________________________
                y⁻¹ = (x/3 ) + 2 ;
___________________________________
or;  write as: y⁻¹ = (1/3)x + 2 
___________________________________
That being said:
_________________________________________
The best answer (and only correct answer) among the answer choices given is:  Answer choice: [C]:  y⁻¹ = (x+6) / 3  .
____________________________________________________
6 0
3 years ago
Question 1 Unsaved
ICE Princess25 [194]
Y = 3x + 4

good luck!
3 0
3 years ago
4, 12, 36,what is 3 other remaining sequence​
Nataly_w [17]

Answer:

108, 324, 972

Step-by-step explanation:

This sequence is multiplying by ✖️3.

4✖️3=12✖️3=36✖️3=108✖️3=324✖️3=972

Hope this helps!

6 0
3 years ago
Read 2 more answers
Using the substitution P=1/x and Q=1/y.
erma4kov [3.2K]

Step-by-step explanation:

2p + q = 3 \\ p - 5q = 7 \\  \\ multiply \: the \: second \: equation \: by \: 2 \\  2p - 10q = 14 \\ 2p - 10q - (2p + q) = 14 - 3 \\ 2p - 10q - 2p - q = 11 \\  - 11q = 11 \\ q =  - 1 \\  \\ 2p + q = 3 \\ 2p - 1 = 3 \\ 2p = 4 \\ p  = 2

5 0
3 years ago
Find a formula for the general term of the sequence 5 3 , − 6 9 , 7 27 , − 8 81 , 9 243 , assuming that the pattern of the first
Mkey [24]

Answer:

The formula to the sequence

5/3, -6/9, 7/27, -8/81, 9/243, ...

is

(-1)^n. (4 + n). 3^(-n)

For n = 1, 2, 3, ...

Step-by-step explanation:

The sequence is

5/3, - 6/9, 7/27, - 8/81, 9/243, ...

We notice the following

- That the numbers are alternating between - and +

- That the numerator of a number is one greater than the numerator of the preceding number. The first number being 5.

- That the denominator of a number is 3 raised to the power of (2 minus the position of the number)

Using these observations, we can write a formula for the sequence.

(-1)^n for n = 1, 2, 3, ... takes care of the alternation between + and -

(4 + n) for n = 1, 2, 3, ... takes care of the numerators 5, 6, 7, 8, ...

3^(-n) for n = 1, 2, 3, ... takes care of the denominators 3, 9, 27, 81, 243, ...

Combining these, we have the formula to be

(-1)^n. (4 + n). 3^(-n)

For n = 1, 2, 3, ...

4 0
3 years ago
Other questions:
  • A can of tuna has a shape similar to the shape of a large water take the can of tuna has a diameter of 3 inches and a height of
    15·2 answers
  • PLEASE ANSWER IF YOU CAN!!
    6·2 answers
  • Two angles supplementary. the first angle measures 60 what's the second
    8·1 answer
  • Please help me Simplify 3✔️2 - ✔️2
    7·1 answer
  • How do unit rates help you make decisions about which items to purchase
    13·1 answer
  • A car travel 320 miles on 10 gallons of gasoline right the unit rate for the miles per gallon
    8·2 answers
  • What’s the answer for this I need help
    8·2 answers
  • The current I in an electrical conductor varies inversely as the resistance R of the conductor. The current is amperes when the
    11·1 answer
  • What is the result of subtracting the second equation from the first?
    15·1 answer
  • Solve for the indicated values. Problem: The IQ scores for a sample of 24 students who are entering their first year of college
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!