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Aloiza [94]
2 years ago
7

Which equation can replace 3x + 5y = 59 in the original system and still produce the same solution?

Mathematics
1 answer:
mafiozo [28]2 years ago
5 0

Answer:

13x = 39

x=3

y=10

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NO LINKS!!! Kim invested $5000 in Mutual fund at 6% compounded quarterly. Write an equation to represent this situation. When wi
Ira Lisetskai [31]

Answer:

Equation is  A = 5000(1.015)^(4t)

Her investment will be worth $10,000 in about <u>11.63888 years</u>

Rounding up to the nearest whole number gets to <u>12 years</u>

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

Explanation:

Part 1) Finding the equation

The compound interest formula is

A = P(1+r/n)^(n*t)

Here are the variables

  • A = final amount
  • P = starting amount, or deposit, or principal
  • r = interest rate in decimal form
  • n = number of times money is compounded per year
  • t = number of years

In this case,

  • P = 5000
  • r = 0.06 from the 6% annual interest
  • n = 4 times a year is the compounding frequency
  • t = unknown amount of time

Therefore, the equation is

A = P(1+r/n)^(n*t)

A = 5000(1+0.06/4)^(4t)

A = 5000(1.015)^(4t)

The decimal value is exact.

--------------------------

Part 2) Let's plug in A = 10,000 and solve for t.

You'll need to use logarithms to isolate the exponent.

A = 5000(1.015)^(4t)

10,000 = 5000(1.015)^(4t)

10,000/5000 = (1.015)^(4t)

2 = (1.015)^(4t)

Log[ 2 ] = Log[ (1.015)^(4t) ]

Log(2) = 4t*Log( 1.015 )

4t = Log(2)/Log(1.015)

4t = 46.5555256308062

t = 46.5555256308062/4

t = 11.6388814077015

t = 11.63888

It takes about 11.63888 years for the investment to reach $10,000.

Therefore, at the 12 year mark is when the investment is more than $10,000.

7 0
2 years ago
Read 2 more answers
What is the value of the expression 6x - y when x = 3 and y = 1? (5 points)
Vladimir [108]

Answer:

the answer is 17

Step-by-step explanation:

6×3-1

= 17

6 0
3 years ago
The geometric mean of 8 and 2 is<br><br> 5<br> 3<br> 4<br> 16
igomit [66]

Answer:5

Step-by-step explanation:

<h3><u>(8 + 2)</u> <u>sum of values  </u>    =    <u>10</u>  =  5</h3><h3>    2    number of values        2</h3><h3 />

There is equal spacing between the mean and the extremes

8 - 5 = 3

5 - 2 = 3

5 0
3 years ago
In earn 5 coins
nevsk [136]

Answer:

Step-by-step explanation:

The -5 is how man cans of soda are taken away from the vending machine. Either something bought them or the can may have broke

8 0
3 years ago
Anyone know the area?
Elina [12.6K]
Answer:  The area of the triangle is:  " 8.5 cm² " ; 

                                         or, write as:  " 8\frac{1}{2} cm² " .
_______________________________________________________
Explanation:
_________________________________________________________
The formula {"equation"} for the area of a triangle is:

A = (\frac{1}{2}) * b * h ;
   
in which:  A = area; 
                 b = base;
                 h = [perpendicular] height;
___________________________________
{also, can be written as:  " A = (b * h) / 2 " .}.
______________________________________
Solve for the area, "A" ; by plugging in the known values shown in the figure (image attached):
______________________________________
                             base, "b" = 13 cm ;
[perpendicular] height, "h" =  5 cm ;
______________________________________
A = (b * h) / 2 ;

   = (13 cm * 5 cm) / 2 ; 

   = [ (13 * 5) cm²] / 2 ; 

    = 65 cm² / 2 ;

A  = " 8.5 cm² " ; or, write as:  " 8\frac{1}{2} cm² " .
_________________________________________________________
Answer:  " 8.5 cm² " ; or, write as:  " 8\frac{1}{2} cm² " .
_________________________________________________________
The area of the triangle is:  " 8.5 cm² " ; 

                         or, write as:  " 8\frac{1}{2} cm² " .
_________________________________________________________
5 0
3 years ago
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