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2 years ago

17. A television costs $270.25 including 15% sales tax. How much of the cost is tax?

Mathematics

1 answer:

ella [17]2 years ago

6 0

Answer:

Below in bold.

Step-by-step explanation:

The 15% is calculated on the cost before tax, $x.

So x + 0.15x = 270.25

1.15x = 270.25

x = 270.25/1.15

= $235.

So 270.25 - 235

= $35.25 was sales tax.

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F(x)=5^x+1 what’s the rate of change between x=0 and x=4

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Answer:

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General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Functions
Function Notation
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Step-by-step explanation:

Step 1; Define

Identify

f(x) = 5ˣ + 1

Interval x [0, 4] →b = 4, a = 0

Step 2: Find Rate of Change

Substitute in variables [Average Rate of Change]: $\displaystyle \displaystyle \frac{f(4) - f(0)}{4 - 0}$
[Average Rate of Change] Substitute in x [Function f(x)]: $\displaystyle \displaystyle \frac{(5^4 + 1) - (5^0 + 1)}{4 - 0}$
(Parenthesis) Evaluate exponents: $\displaystyle \displaystyle \frac{(625 + 1) - (1 + 1)}{4 - 0}$
(Parenthesis) Add: $\displaystyle \displaystyle \frac{626 - 2}{4 - 0}$
[Fraction] Subtract: $\displaystyle \displaystyle \frac{624}{4}$
Divide: $\displaystyle \displaystyle 156$

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