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prohojiy [21]
3 years ago
8

The length of a rectangle is 13 centimeters less than four times its width. Its area is 35 square

Mathematics
1 answer:
Mashcka [7]3 years ago
5 0

Answer:

width 5

length 7

Step-by-step explanation:

W * L = 35

L = 4 * W - 13

W * (4W-13) = 35

4 W^2 - 13 W - 35 = 0

delta = 169 + 4*4*35 = 729 = 27^2

W = (13 + 27) / 8 = 5 (its the only solution since 13 - 27 is less than 0 which makes no sense)

L = 4 * 5 - 13 = 7

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Because Bernard has some health issues, he must pay 15% more for life insurance. About how much more annually will a $115,000 10
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From the given table, the annual premium rate as a percentage of value insured a person at age 35 has to pay is 0.14%.

  • The amount more annually a $115,000 10-year term insurance at age 35 cost Bernard than someone of the same age without health issues is option d. <u>$24</u>

Reasons:

The data in the table are presented as follows;

\begin{tabular}{|c|c|c|}Age&Annual Insurance Premiums (per \$1,000 of face value)&\\&10-Year Term &\\&Male&Female\\35&1.40&1.36\\40&1.64&1.59\\45&2.07&2.01\end{array}\right]

From the above table, we have that the amount a 35 year old without health issues will pay per $1,000 is $1.40

Therefore, the amount to be paid for $115,000 is 115 × $1.4 = $161

The amount Bernard pays = 15% more = 1.15 × $161 = $185.15

Therefore;

The amount more Bernard has to pay = $185.15 - $161 = $24.15 ≈ <u>$24</u>

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