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jenyasd209 [6]
3 years ago
9

The expression 1000(1.1)^t represents the value of a $1000 investment that earns 10% interest per year, compounded annually for

t years. What is the value of a $1000 investment at the end of 4 years? Do not use a unit label or comma when enter the answer
Mathematics
2 answers:
torisob [31]3 years ago
8 0
After 4 years
the value = 1000 × (1.1)⁴
the value = 1000 × 1.4641
the value = 1464.1
kakasveta [241]3 years ago
4 0

Answer: 1464.1

Step-by-step explanation:

Given : The expression 1000(1.1)^t represents the value of a $1000 investment that earns 10% interest per year, compounded annually for t years.

To find the  value of a $1000 investment at the end of 4 years, we substityte x = 4 in the given expression , then

1000(1.1)^4=1464.1

Therefore, the value of a $1000 investment at the end of 4 years = 1464.1

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Step-by-step explanation:

-24699              

 —————— = -24.69900  

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Reformatting the input :

Changes made to your input should not affect the solution:

(1): "•" was replaced by "*".

(2): "*-5" was replaced by "*(-5)".

(3): "5.62" was replaced by "(562/100)". 4 more similar replacement(s)

Step by step solution :

Step  1  :

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Simplify   ———

           50  

Equation at the end of step  1  :

   829      62  562   281

 ((———•-5)•———)+——— ÷ ———

   100     100  100   50  

Step  2  :

           281

Simplify   ———

           50  

Equation at the end of step  2  :

   829      62  281   281

 ((———•-5)•———)+——— ÷ ———

   100     100  50    50  

Step  3  :

        281      281

Divide  ———  by  ———

        50       50  

3.1    Dividing fractions

To divide fractions, write the divison as multiplication by the reciprocal of the divisor :

281     281       281      50

———  ÷  ———   =   ———  •  ———

50      50        50      281

Equation at the end of step  3  :

   829          62      

 ((——— • -5) • ———) +  1

   100         100      

Step  4  :

           31

Simplify   ——

           50

Equation at the end of step  4  :

   829         31      

 ((——— • -5) • ——) +  1

   100         50      

Step  5  :

           829

Simplify   ———

           100

Equation at the end of step  5  :

   829         31      

 ((——— • -5) • ——) +  1

   100         50      

Step  6  :

Rewriting the whole as an Equivalent Fraction :

6.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  1000  as the denominator :

        1     1 • 1000

   1 =  —  =  ————————

        1       1000  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

6.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

-25699 + 1000     -24699

—————————————  =  ——————

    1000           1000  

Final result :

 -24699              

 —————— = -24.69900  

  1000              

Processing ends successfully

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