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zmey [24]
3 years ago
5

$400 interest is earned on a principal of $2,000 at a simple interest rate of 5% interest per year. For how many years was the p

rincipal invested?
Mathematics
1 answer:
bogdanovich [222]3 years ago
4 0

Answer:

4 years

Step-by-step explanation:

Given data

Simple interest= $400

Principal= $2000

Rate= 5%

The simple interest formula is given as

SI=PRT/100

substitute and solve for T

400=2000*5*T/100

cross multiply

400*100= 10000*T

40000=10000T

T= 40000/10000

T= 4 years

Hence the time taken is 4 years

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Katarina [22]

Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

4x - 1 = 7x - 16

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Subtract 4x on both sides:                    -1 = 3x - 16
  2. Add 16 to both sides:                             15 = 3x
  3. Divide 3 on both sides:                          5 = x
  4. Rewrite:                                                   x = 5

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    4(5) - 1 = 7(5) - 16
  2. Multiply:                               20 - 1 = 35 - 16
  3. Subtract:                              19 = 19

Here we see that 19 does indeed equal 19.

∴ x = 5 is a solution to the equation.

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