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pshichka [43]
3 years ago
8

Skylar is answering the following math problem: The value of an investment decreased by 10%. The original amount of the investme

nt was $75.00. What is the current value of the investment? Skylar said 10% of $75.00 is $7.50, and since the investment decreased by that amount, you have to subtract $7.50 from $75.00 to arrive at the final answer of $67.50. Create one algebraic equation that can be used to arrive at the final answer of $67.50. Solve the equation to prove it results in an answer of $67.50. Be prepared to explain your thought process to the class.
Mathematics
1 answer:
Alona [7]3 years ago
3 0

Answer:

The given parameters of the investment are;

The rate of decrease of the investment, r = -10%

The original amount of the investment, P = $75.00

Let 'A' represent the final answer (value of the investment) after the decrease in the investment, 'r', is applied, we have;

The algebraic equation that can be used to arrive at the final answer, 'A', is given as follows;

A = P + r·P

Therefore by substituting the given values, we have;

A = $75.00 + (-10/100) × $75.00 = $75.00 - 0.1 × $75.00 = $75.00 - $7.50

A = $75.00 - $7.50 = $67.50

The final amount or answer, A = $67.50

Step-by-step explanation:

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Identify the numbers that are located below -3.5 on a vertical number line.
Mumz [18]
The answers are: -5.3, -6.5
3 0
3 years ago
A zookeeper weighed an African elephant to be 9x10^3 pounds and an African lion to be 4x10^2 pounds. How many times greater is t
maria [59]
Answer:  22.5 .  The weight of the elephant is "22.5 times greater" than                              the weight of the lion.
_________________________________________________________
Explanation:
_________________________________________________________

(weight of lion) * (x) = (eight of the elephant)  ;  Solve for "x" .
_____________________________________________________
   → Divide each side of the equation by "(weight of lion)" ;
  to isolate "x" on one side of the equation ; and to solve for "x" ;
_________________________________________________________
    
   → (weight of lion)*(x) / (weight of lion) = (weight of the elephant) /
                                                           (weight of lion) ;
________________________________________________________
     →  x  = (weight of the elephant) / (weight of lion) ;
__________________________________________________________
     →  Plug in our "given values" ; and solve for "x" ;
__________________________________________________________
     →  x = (<span>9*10</span>³) / (4*10²) =  (9*10⁽³⁻²⁾) / 4  =  (9*10¹) / 4  ;
__________________________________________________________  
     →  x =  90 /4 = 25/2  = 22.5 ; which is our answer.
__________________________________________________________
4 0
3 years ago
Please help me with this question.
stiv31 [10]
9 - 1/2 is the answer
3 0
2 years ago
How could Brent use a rectangle to model the factors of x2 – 7x + 6?
Crank
<span> He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x2, –x, –6x, and 6.</span>
6 0
3 years ago
Read 2 more answers
Matrix question help needed
kramer

The required matrix is:

\left[\begin{array}{ccc}-25&17&0\\8&-1&3\\\end{array}\right]

Step-by-step explanation:

We need to apply elementary row operation -2R₂+3R₁ tothe matrix:

A=\left[\begin{array}{ccc}-3&5&2\\8&-1&3\\\end{array}\right]

Multiplying Row 2 with -2 and Row1 with 3 and adding,

-9 15 6

-16 2 -6

----------

-25 17  0

After applying this operation, Row 1 will be changed while Row 2 will remain same because we get -2R₂+3R₁ -> R₁

The required matrix is:

\left[\begin{array}{ccc}-25&17&0\\8&-1&3\\\end{array}\right]

Keywords: Matrices, elementary row operation

Learn more about matrices at:

  • brainly.com/question/4464845
  • brainly.com/question/8301701

#learnwithBrainly

6 0
3 years ago
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