Find the slope of the line perpendicular to the graph of y− 1/5 x=7 help due soon

Mathematics

1 answer:

Blababa [14]3 years ago

6 0

<h2>Answer:</h2>

Step 1: We need to covert the current equation to slope-intercept form*.

$y - \frac{1}{5}x = 7\\\\y = \frac{1}{5}x + 7$

Step 2: Now that we have our equation in slope-intercept form, we can determine the perpendicular slope of the line.

$\frac{1}{5} = \frac{5}{1} = 5 = -5$

Our new slope is now -5.

*Slope-intercept form: y = mx + b

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Jade wants to buy a $200,000 term life insurance policy. She is 34 years old. Using the premium table, what is her annual premiu

AnnZ [28]

Premium rates are usually for premium per fixed face value. Jade's annual premium for a 10 year policy is given by Option b: $1,202

<h3>How to calculate the total annual premium for $x ?</h3>

If its given that the annual premium is $p per $y face value, then we can calculate the annual premium for $1 face value and then use it to calculate annual premium for $x.

Using proportions, we get:

$\rm \$y \: face \: value : \$p \: annual \: premiun\\\\\rm \$1 \: face \: value : \$\dfrac{p}{y} \: annual \: premiun\\\\\rm \$x\:face\: value : \$\dfrac{p \times x}{y} \: annual \: premiun\\$

For given case, from the tables, we see that for age 34, and 10 year life insurance for female gender , there is annual premium of 6.01 per $1000 face value.
Thus, we have p = 6.01, y = 1000

Since Jade wants to buy Life insurance for $200,000, thus, x = $200,000

Putting it in the above derived formula, we get:

$\rm \$x\:face\: value : \$\dfrac{p \times x}{y} \: annual \: premium\\\\\rm \$200000\:face\: value : \$\dfrac{6.01 \times 200000}{1000} \: annual \: premium\\ = \$1202 \: annual \: premiun$