Given the following ratio relationships:

$\frac{S}{A}=6\mathrm{.}6$

$\frac{N}{S}=5\mathrm{.}2\%$

$\frac{D}{A}=38\mathrm{.}8\%$

$A=D+E$

What is NE$?($Record your answer to a percent, rounded to $1$ decimal place$)$

Suppose $A-D=E,$ that $N=62,000,\frac{E}{A}=\mathrm{.}565$ and $\frac{N}{E}=40.$ Compute $\frac{D}{A}($record your answer to a percent, rounded to $1$ decimal place$).$

Assume that $\frac{S}{A}=2\mathrm{.}5,\frac{D}{A}=\mathrm{.}15,\frac{N}{E}=\mathrm{.}55$ and $A=D+E.$ Solve for $\frac{N}{S}($Record your answer to a percent, rounded to $1$ decimal place$).$

Given the following equations:

$4x+7y=15$

$5x-5y=-6$

Solve for $y.($Record your answer rounded to $2$ decimal places; for example, record $18\mathrm{.}3498$ as $18\mathrm{.}35).$

Referring back to the prior problem, what is $x?($Record your answer rounded to $2$ decimal places; for example, record $18\mathrm{.}3498$ as $18\mathrm{.}35).$

Alex and Sam each build tables. Together they make $118$ tables in $8$ days. Alex working alone can make $68$ tables in $14$ days. How many days would it take Sam working alone to make $74$ tables? $($Record your answer in days rounded to one decimal place. For example, if the answer you find is $4\mathrm{.}2835$ days, record $4\mathrm{.}3).$

Which of the following numbers is the smallest $($i$.$e$.,$ the least in value$)?$

a$.-\frac{8}{17}$

b$.-\frac{28}{38}$

c$.-\frac{1}{2}$

d$.-\frac{7}{9}$

e$.-\frac{61}{74}$

Alex broke open his piggy bank. He had $30$ more dimes than nickels and $8$ more quarters than nickels. The value of the quarters is exactly the same as the value of the sum of the dimes and nickels. How much total money does Alex have $($in cents, assuming the quarters are worth $25$ cents, dimes are worth $10$ cents, and nickesl are worth $5$ cents$)?$

You must have an average secre of at least $79\mathrm{.}6$ to get a B$-$ in a class that you are taking. The class has $5$ exams $($all equally weighted$).$ On exams $1,2,3$ and $4$ you earned grades of $58,71,86$ and $95,$ respectively. What is the minimum score that you must get on exam $5$ to get a B$-$ in the class? $($Record your answer as a number rounded to one decimal place; for example, record $83\mathrm{.}8924$ as $83\mathrm{.}9).$

$50.$ Ed invests $$68,000$ in certificates of deposit $($i$.$e$.,$ CDs$)$ paying $1\mathrm{.}75\%.$ How much additional money does he need to invest in stoeks that are expected to generate a return of $11\mathrm{.}8\%$ so that the average return on all of Ed's investments is $7\mathrm{.}5\%?($Record your answer as a dollar amount rounded to $2$ decimal places, but do not include the dollar sign or any commus in your answer on iCollege; for example, record $$29\mathrm{.}354\mathrm{.}22895$ as $29354\mathrm{.}23).$