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emmainna [20.7K]
3 years ago
12

Compound interest question :

Mathematics
1 answer:
SpyIntel [72]3 years ago
8 0
The formula is
A=p (1+r)^t
A future value 8000
P present value?
R interest rate 0.05
T time 3years
Solve the formula for p
P=A÷(1+r)^t
P=8,000÷(1+0.05)^(3)
P=6,910.70

Hope it helps!
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A 2000-gallon metal tank to store hazardous materials was bought 15 years ago at cost of $100,000. What will a 5,000-gallon tank
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Answer:

The value  is P_o = \$ 561958.9

Step-by-step explanation:

From the question we are told that

  The capacity of the metal  tank is  C =  2000 \  gallon

   The duration usage is  t = 15\ years \ ago

   The cost of 2000-gallon tank 15 years ago is P =  \$100,000

    The capacity of the second tank considered is C_1 = 5,000  

    The power sizing exponent is e = 0.57

     The initial construction cost index is  u_1 = 180

      The new construction after 15 years cost index is  u_2 =600

Equation for the power sizing exponent is mathematically represented as

      \frac{P_n}{P} = [\frac{C_1}{C} ]^{e}

=> Here P_n is the cost of 5,000-gallon tank as at 15 years ago  

So

     P_n  =  [\frac{5000}{2000} ] ^{0.57} * 100000

      P_n  =  \$168587.7

Equation for the cost index exponent is mathematically represented as

      \frac{P_o}{P_n}  =  \frac{u_2}{u_1}

HereP_o is the cost of 5,000-gallon tank today

So

       \frac{P_o}{168587.7}  =  \frac{600}{180}

=>    P_o = \frac{600}{180} * 168587.7

=>      P_o = \$ 561958.9

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4 years ago
Analyze the diagram below and answer the question that follows.
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The correct answer is C.

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

1 point

Step-by-step explanation:

The number of games in the tournament is:

₄C₂ = 6

Another way to look at it: Team 1 plays 3 games against Team 2, 3, and 4.  Then, Team 2 plays 2 games against Team 3 and 4 (Team 2 already played Team 1).  Finally, Team 3 plays a game against Team 4.  So the total is 3 + 2 + 1 = 6.

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