A local gym offers its members the opportunity to choose between two fitness classes: yoga and dance. Of the
400 gym members, 300 regularly attend yoga. 80 regularly attend dance and 50 regularly attend yoga and
dance. Using this information, answer each of the following questions.

step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.

lr = 24

step-by-step explanation:

note that p is the midpoint of lr. to find the measurement of lr, set the equation:

lr = lp + pr

plug in the corresponding numbers to the corresponding variables:

lr = (15) + (9)

simplify:

lr = 24

24 is your measurement of lr.

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the answer is 3.54 g/cm^3

step-by-step explanation:

d=mass/volume therefore d= 46/13 which is a simple division equation.

the exponential expression to find the value of the cd, in dollars, after t years will be:  

step-by-step explanation:

formula of compound interest:   , where final value after years,   initial value, rate of interest in decimal and number of compounding in a year.

oliver plans to purchase a $1,500 certificate of deposit (cd) at his bank. that means,  

the cd will earn 2.3% interest, compounded semi-annually.

so,   and  

now, plugging these values into the above formula, we will

(rounded to the nearest ten-thousandth)

so, the exponential expression to find the value of the cd, in dollars, after t years will be: