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Black_prince [1.1K]
2 years ago
6

Btw the answer has to be in fraction form if it’s a decimal then we will need to convert it into a fraction please help me

Mathematics
2 answers:
Misha Larkins [42]2 years ago
6 0

Answer:

217 = 217/100 = 2.17

Step-by-step explanation:

Svetllana [295]2 years ago
4 0

Answer:

18 1/12 ft = base length

Step-by-step explanation:

The area of a triangle of base b and height h is A = (1/2)(b)(h).

Since we want the measure of the base we solve this formula for b:

2A = (b)(h)

                                                                                                  2A

and then divide both sides to obtain a formula for b:  b = -----------

                                                                                                     h

Substituting 217 ft^2 for A and 24 ft for h, we get:

b = 2*217 ft^2 / 24 ft = 18.0833....  ft

If the answer must contain a fraction, take the 18 and hold it and convert the remaining 0.08333... to a fraction.  One way of doing this is to use a calculator.  On my old TI calculator, I would type in 0.0833333333..

and then press the MATH key and then select Option 1:  Decimal to fraction.

Doing this yields 1/12.  You can check this result by dividing:  1/12 = 0.08333...

Then the final answer, converted from 18.08333... ft, is

18 1/12 ft = base length

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slega [8]

Answer:

The compounded annually account will earn more interest over 10 years

Step-by-step explanation:

The rule of the simple interest is I = Prt, where

  • P is the original value
  • r is the rate in decimal
  • t is the time

The rule of the compounded interest is A = P(1+\frac{r}{n})^{nt}, where

  • A is the new value
  • P is the original value
  • r is the rate in decimal
  • n is the number of periods
  • t is the time

The interest I = A - P

∵ Each account start with $200

∴ P = 200

∵ They have an interest rate of 5%

∴ r = 5% = 5 ÷ 100 = 0.05

∵ One account earns simple interest and the other is compounded  

   annually

∴ n = 1 ⇒ compounded annually

∵ The time is 10 years

∴ t = 10

→ Substitute these values in the two rules above

∵ I = 200(0.05)(10)

∴ I = 100

∴ The simple interest = $100

∵ I = A - P

∵ A = 200(1+\frac{0.05}{1})^{1(10)}

∴ A = 325.7789254

∵ I = 325.7789254 - 200

∴ I = 125.7789254

∴ The compounded interest = $125.7789254

∵ The simple interest is $100

∵ The compounded interest is $125.7789254

∵ $125.7789254 > $100

∴ The compounded annually account will earn more interest

   over 10 years

6 0
3 years ago
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