Yolanda has finished 45% of the homework problems she was assigned. So far she has finished 27 problems.

1 answer:

7 0

$p\%=\frac{p}{100}\\\\A.\ 45\%=\frac{45}{100}=\frac{45:5}{100:5}=\boxed{\frac{9}{20}}\\\\B.\ \begin{array}{ccc}45\%&-&27\\100\%&-&x\end{array}\ \ \ \ |cross\ multiply\\\\\\45\cdot x=27\cdot100\\45x=2700\ \ \ \ |divide\ both\ sides\ by\ 45\\\boxed{x=60}\\\\C.\ 60-27=\boxed{33}$

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geniusboy [140]

The length of a rectangle is 4 cm less than twice the width. express as an integer the maximum width of the rectangle when the perimeter is less than 78 cm.

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A retired couple has up to $50,000 to invest. As their financial adviser, you recommend that they place at least $35,000 in Trea

patriot [66]

Answer:

See Explanation

Step-by-step explanation:

According to the Question,

Given that, A retired couple has up to $50,000 to invest. As their financial adviser, you recommend that they place at least $35,000 in Treasury bills yielding 1% and at most $10,000 in corporate bonds yielding 3%.

Therefore,

Let, x be the amount of money invested in Treasury bills

y be the amount invested in corporate bonds

Thus, the system of equations of linear inequalities is

x + y ≤ 50000

x ≥ 35000

0 ≤ y ≤ 10000

For, the graph of the system of equations of linear inequalities describes the possible amounts of each investment.

(Please find in the attachment)