Ask question

Ask question

All categories

3 years ago

13

The average smoker typically pays 15% higher life insurance costs than the average non-smoker. If the monthly cost to a non-smok

er is $500 dollars per month, how much would the average smoker pay per month for the same life insurance policy?
a) $500.15

b) $515.00

c) $533.00

d) $575.00

1 answer:

Maksim231197 [3]3 years ago

5 0

Answer:

$75

Step-by-step explanation:

The average smoker pay 15% life insurance than the non-smoker

The monthly cost of a non-smoker is $500 per month

Therefore the amount that would be paid by the average smoker in a month can be calculated as follows

= 500 × 15/100

= 500 × 0.15

= 75

Hence the amount to be paid is $75

You might be interested in

Prove or disprove (from i=0 to n) sum([2i]^4) <= (4n)^4. If true use induction, else give the smallest value of n that it doe

ddd [48]

Answer:

The statement is true for every n between 0 and 77 and it is false for $n\geq 78$

Step-by-step explanation:

First, observe that, for n=0 and n=1 the statement is true:

For n=0: $\sum^{n}_{i=0} (2i)^4=0 \leq 0=(4n)^4$

For n=1: $\sum^{n}_{i=0} (2i)^4=16 \leq 256=(4n)^4$

From this point we will assume that $n\geq 2$

As we can see, $\sum^{n}_{i=0} (2i)^4=\sum^{n}_{i=0} 16i^4=16\sum^{n}_{i=0} i^4$ and $(4n)^4=256n^4$ . Then,

$\sum^{n}_{i=0} (2i)^4 \leq(4n)^4 \iff \sum^{n}_{i=0} i^4 \leq 16n^4$

Now, we will use the formula for the sum of the first 4th powers:

$\sum^{n}_{i=0} i^4=\frac{n^5}{5} +\frac{n^4}{2} +\frac{n^3}{3}-\frac{n}{30}=\frac{6n^5+15n^4+10n^3-n}{30}$

Therefore:

$\sum^{n}_{i=0} i^4 \leq 16n^4 \iff \frac{6n^5+15n^4+10n^3-n}{30} \leq 16n^4 \\\\ \iff 6n^5+10n^3-n \leq 465n^4 \iff 465n^4-6n^5-10n^3+n\geq 0$

and, because $n \geq 0$ ,

$465n^4-6n^5-10n^3+n\geq 0 \iff n(465n^3-6n^4-10n^2+1)\geq 0 \\\iff 465n^3-6n^4-10n^2+1\geq 0 \iff 465n^3-6n^4-10n^2\geq -1\\\iff n^2(465n-6n^2-10)\geq -1$

Observe that, because $n \geq 2$ and is an integer,

$n^2(465n-6n^2-10)\geq -1 \iff 465n-6n^2-10 \geq 0 \iff n(465-6n) \geq 10\\\iff 465-6n \geq 0 \iff n \leq \frac{465}{6}=\frac{155}{2}=77.5$

In concusion, the statement is true if and only if n is a non negative integer such that $n\leq 77$

So, 78 is the smallest value of n that does not satisfy the inequality.

Note: If you compute $(4n)^4- \sum^{n}_{i=0} (2i)^4$ for 77 and 78 you will obtain:

$(4n)^4- \sum^{n}_{i=0} (2i)^4=53810064$

$(4n)^4- \sum^{n}_{i=0} (2i)^4=-61754992$

7 0

3 years ago

Work out the volume of a prism with an area of 10m squared and a length of 8m

Jobisdone [24]

Is it 80 m I think that’s the answer

4 0

3 years ago

Just write some random stuff and get points

Tanya [424]

I like pizza pizza is good for my health

8 0

3 years ago

PLEASE HELP!!!!

frozen [14]

A) $\frac{2 \frac{1}{4}}{ \frac{1}{2}}$
b) $\frac{1}{2}$ • 2 = 1
so $\frac{9}{4}$ • 2 = $\frac{9}{2}$ cups (which is $4 \frac{1}{2}$ )

5 0

3 years ago

The volume of a cylinder is given by the formula <img src="https://tex.z-dn.net/?f=V%2B%20%5Cpi%20r%5E2h" id="TexFormula1" title

n200080 [17]

V = $\pi r^{2}h$ where r is radius and h is height

so when radius is (x+8) and height is (2x+3),

volume = $\pi (x+8)^{2}(2x+3)$

4 0

3 years ago

Read 2 more answers