In 2005, Americans bought 9.1 million home radios and 3.8 million home-theater-in-a-box units (TWICE, March 27, 2006, www. twice/article/CA6319031.html). Suppose (for simplicity) that the cost of the home radios was $230 million, that the cost of the home-theater-in-a-box units was $770 million, and that the average consumer has a Cobb-Douglas utility function and buys only these two goods. Estimate a plausible Cobb-Douglas utility function such that the consumer would allocate income in the proportions actually observed. The typical consumer's Cobb-Douglas utility function, where R is radios and T is home-theater-in-a-box units, is U(R, T)equals nothing. (Enter the exponents in your equation rounded to two decimal places.) (Properly format your expression using the tools in the palette. Hover over tools to see keyboard shortcuts. E. g., a superscript can be created with the ^ character.)

Step-by-step explanation:

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The properties of exponents help solve logarithmic and exponential equations by:

a. Multiplication inside the log can be turned into addition outside the log, and vice versa.

b. Division inside the log can be turned into subtraction outside the log, and vice versa.

c. An exponent on everything inside a log can be moved out front as a multiplier, and vice versa.

Exponents are hard but think about it like addition, that number tells you how many times to add that number to itself. To write the equation put the number and then the exponent on the top right of that number. Your welcome!

Option 1 is the correct answer

Step-by-step explanation:

Joe bought an apple tree that was 48 inches in height. He noticed that this tree grew approximately 4 inches in height each year. This means that a year from now,the height would be 48+4 = 52 inches

2 years from now, the height would be 48 + 8 = 56 inches.

The growth rate of the tree is linear and it can be likened or represented by an Arithmetic progression sequence.

Tn = a+(n-1)d

Where

48 = a the first term

4 = d = common difference

n = t = number of years.

Tn = h(t) = height of the tree in in years. Therefore, option 1 is the correct answer

The height of the apple tree can be represented by a linear function, and the variable t is multiplied by 4 in the equation representing the function.

This is the best model that can be used

The properties of exponents would help solve exponential equations by creating an expression that can be simplified easily. It elps in simplfying a certain equation. It tells us how are terms that contain exponents can be added, subtracted, divided and multiplied. For addition, terms having the same can only be added. This would be also true for subtraction. For example, we have x^2 + y^3, these terms could not be added since they have different base. For multiplication, we can readily multiply these terms and add the exponents of the terms with the same base, x^2(y^2)(x) = x^3y^2. For division, they can also be divided readily but, terms with the same base, the exponents are to be subtracted, x^3 / x^2 = x.

step-by-step explanation:

Well order of operations is PEMDAS so parenthesis,exponents, multiplication, division, addition, subtraction.

When calculating, the Order of Operations is PEMDAS or

Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction

18x^5y

Step-by-step explanation:

Divide 36 by 2 first : 18

since you are dividing, you subtract the exponents:

x^8 - x^3= x^5

y^4-y^3= y^1 but you usually just write y