Which phrase matches the expression p+7

Mathematics

2 answers:

dangina [55]3 years ago

5 0

Answer:

the sum of p and 7

zheka24 [161]3 years ago

4 0

A sum (p)&(7)
i think this is right

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The point (-7,4) in on the terminal side of an angle t. Find sec (t) to two decimal places.

Sliva [168]

Answer:

-1.15

Step-by-step explanation:

The tangent of the angle can be found as ...

tan(t) = (y-coordinate)/(x-coordinate) = -4/7

The secant of the angle is related by ...

sec(t)² = tan(t)² +1 = (-4/7)² +1 = 65/49

Then the secant of this 2nd-quadrant angle is ...

sec(t) = -√(65/49) = -(√65)/7 ≈ -1.15

6 0

2 years ago

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:

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