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The equation which is equivalent to 16 Superscript 2 p Baseline equal to 32 Superscript p 3 is,
Equivalent equation are the expression whose result is equal to the original expression, but the way of representation is different.
Given information-
The given equation in the problem is,
Write both the equation in the form of same base number as,
The power of the power of a number can be written as product of both the numbers. Thus,
This is the required equation.
Now if the base is the same at both side of the expression, then the powers can be compared. Thus,
Solve it further to find the value of p as,
Thus the equation which is equivalent to 16 Superscript 2 p Baseline equal to 32 Superscript p 3 is,
Learn more about the equivalent expression here;
Answer:
They invested total $2730 over the past two years.
Step-by-step explanation:
Consider the provided information.
Dan and Paula regularly invested $25/week in a mutual fund account.
There are 52 weeks in a year.
Total money they invested in a mutual fund in first year.
$25×52 = $1300
They increased their weekly investment by 10 percent.
First find the 10% or 25.
That means they invest $25+$2.5 = $27.5
They invest $27.5/week in next year.
Total money they invested in a mutual fund in second year.
$27.5×52 = $1430
Hence the total money they invested in the account over the past two year is:
$1300+$1430=$2730
Hence, they invested total $2730 over the past two years.
Answer:
64
Step-by-step explanation:
Lets first substitute x into the equation:
1/3 times 6 = 2
Which equals 64