Handsome jack is buying a pony made of diamonds. the price of the pony is ppp dollars, and jack also has to pay a 25\%25%25, percent diamond pony tax. which of the following expressions could represent how much jack pays in total for the pony? choose 2 answers: a: p+1/4 b: p + 0.25 p c: (p + 1/4) p d : 5/4 p e: 0.25p

A percentage is a number expressed fraction of hundred

The correct options for the expression that represent how much Jack pays in total are;

B: P + 0.25·P

D: (5/4)·P

Reason:

The given parameters are;

Material from which the pony is made = Diamond

Price of the pony = P dollars

Amount Jack has to pay as diamond pony tax = 25%

Required:

The expression that represents how much Jack pays per pony

Solution:

The amount Jack pays, A = The price of the pony + Tax

The amount paid as tax = 25% of P = 0.25·P

∴ A = P + 0.25·P

The correct options are; B: P + 0.25·P, and D: (5/4)·P

Learn more about proper fractions here:

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B: P + 0.25 P

D : 5/4 P

Step-by-step explanation:

The price is P.

The tax is 25% of P, or 0.25P.

The total price is the price plus the tax,

P + 0.25P = P + 1/4P = 4/4P + 1/4P = 5/4P

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places