An insurance company has written 100 policies for $75,000, 500 policies for $25,000, and 1000 policies for $10,000 for people of age 20. If experience shows that the probability that a person will die at age 20 is 0.0015, how much can the company expect to pay out during the year the policies were written? The company can expect to pay out _____ $ over the year after the policies were written.

Answers

Answer 1

Answer:

The company can expect to pay out $45,000 over the year after the policies were written.

Step-by-step explanation:

This can be determined as follows:

The probability that a person will die at age 20 = 0.0015

Revenue from 100 policies = 100 * $75,000 = $7,500,000

Revenue from 500 policies = 500 * $25,000 = $12,500,000

Revenue from 1000 policies = 1000 * $10,000 = $10,000,000

Total revenue from all policies = Revenue from 100 policies + Revenue from 500 policies + Revenue from 1000 policies = $7,500,000 + $12,500,000 + $10,000,000 = $30,000,000

Expected amount to pay out during the year the policies were written = Total revenue from all policies * The probability that a person will die at age 20 = $30,000,000 * 0.0015 = $45,000

Therefore, the company can expect to pay out $45,000 over the year after the policies were written.


Related Questions

Betty took her two daughters out to lunch. Betty's meal was $15.50
and her daughter's meals were $13.45 and $16.75. If Betty is going
to leave a 20% tip, what is the total amount of the meal?

Answers

15.50+13.45+16.75=45.70
(45.70/100)*20=9.14
45.70+9.14=54.84
The total meal is $54.84.

Answer:

$9.14

Step-by-step explanation:

$15.50 + $13.45 + $16.75 = $45.70

   x              20%

45.70           100%      Cross multiply

45.70  x 20 = 914

914 divided by 100 = 9.14

Math unit rate can someone please help me

Answers

Answer: All I know is C is one of them. I’m trying lol

Step-by-step explanation:

Solve the formula 5x + 2y = 19 for y

Answers

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[tex]5x + 2y = 19[/tex]

Subtract sides 5x

[tex] - 5x + 5x + 2y = - 5x + 19[/tex]

[tex]2y = - 5x + 19[/tex]

Divide sides by 2

[tex] \frac{2y}{2} = \frac{ - 5x + 19}{2} \\ [/tex]

[tex]y = \frac{ - 5x}{2} + \frac{19}{2} \\ [/tex]

[tex]y = - \frac{5}{2} x + \frac{19}{2} \\ [/tex]

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The solution of the equation 5x + 2y = 19 for the value of y is y = (-5 / 2)x + ( 19 / 2).

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given expression is 5x + 2y = 19. The value of y will be calculated as:-

5x + 2y = 19

2y = 19 - 5x

y = ( 19 / 2 ) - ( 5x / 2 )

Therefore,  the solution of the equation 5x + 2y = 19 for the value of y is y = (-5 / 2)x + ( 19 / 2).

To know more about an expression follow

https://brainly.com/question/723406

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Angle measures and segment lengths. Algebra Find the value of each variable.

Answers

Answer:

The value of x is 50

Step-by-step explanation:

A secant is a line that intersects a circle in exactly two points. When two secants intersect outside a circle then the measure of the angle formed between them is one-half the positive difference of the measures of the intercepted arcs

In the given figure

Two secants intersected outside the circle

∵ The measures of the intercepted arcs are 30° and 130°

x is the measure of the angle formed between them

→ By using the fact above

x = [tex]\frac{1}{2}[/tex] (130 - 30)

∴ x = [tex]\frac{1}{2}[/tex] (100)

x = 50

The value of x is 50

simplify the following square root √ -1 =​

Answers

Answer:

1 .

because sqare root of -1= 1

Answer:

It is Undefined, as a negative square root does not contain real numbers. Or in other words it doesn’t have anything to simplify to.

Kelly wants to know the actual value of a house that she wants to buy. What should she do?

A.
ask a home inspector to check the house
B.
arrange for a residential survey
C.
get a real–estate appraisal

Answers

Answer:

Its real estate appraisal

Step-by-step explanation:

For plato users

GIVING OUT BRAINLIST ASAP

The Spanish Club sells hot pretzels as a fundraiser. The pretzels normally sold for $2.00, but near the end of the sale the price was reduced by 25% How much is the price of the pretzel being reduced by? Round your answer to the nearest cent (hundredths place)

Answers

Answer: 1.50

Step-by-step explanation:

Answer

25% of 2.00$ is 50 cents

Step-by-step explanation:

Find the length of segment QA when Q(-7,10) and A(3,4).

Answers

Answer:

The length of segment QA when Q(-7,10) and A(3,4) is √136 or 11.66 units

Step-by-step explanation:

Given points are:

Q(-7,10) and A(3,4)

Here

[tex](x_1,y_1) = (-7,10)\\(x_2,y_2) =(3,4)[/tex]

The distance between two points is the length of the segment formed by those two points. The distance between 2 points is given by:

[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Putting the values

[tex]d = \sqrt{(3-(-7))^2+(4-10)^2}\\d = \sqrt{(3+7)^2+(-6)^2}\\d = \sqrt{(10)^2+(-6)^2}\\d = \sqrt{100+36}\\d = \sqrt{136}\\d= 11.66\ units[/tex]

Hence,

The length of segment QA when Q(-7,10) and A(3,4) is √136 or 11.66 units

what weight of flowers will each person get if 3 people share 1/3 lb of flower equally??

Answers

Answer:

Personally, I think 1/9 lb.

<Plis choose me as brainliest!>

Which is the same as dividing a number by 10?
A, Move the decimal one place to the left.
B, Move the decimal one place to the right.
C, Move the decimal two places to the left.
D, Move the decimal two places to the right.

Answers

Answer:

A is the answer

Step-by-step explanation:

Anytime a number is being divided by 10 it moves to the left creating a decimal.Example : 5÷10 = 0.5 , 500÷10 = 50

Anytime a number is being multiplied by 10 the number increases with a 0. Example : 5 × 10 =50

I hope this helped

Answer:

A

Step-by-step explanation:

When it comes to division, we usually move to the left, but multiplication is to the right. Then it is division by 10, which has only one zero, so we move once to the left.

Find the slope of the graph below.

Answers

Answer:

m=4

Step-by-step explanation:

tgx=4/1

=4


Suppose you are going to graph the data in the table below. What data should be represented on each axis, and what would be the
appropriate increments?
Reporting periods Sales
d out of 2
Flag
an
Jan-Mar., 2010
$100,000
Apr.-Jun., 2010
$55,000
Jul.-Sep., 2010
$45,000
Oct-Dec., 2010
$110,000
Jan. --Mar., 2011
$330,000
Apr.-Jun., 2011
$800,000
Jul.-Sep., 2011
$242,000
Oct-Dec., 2011
$150,000

Answers

Answer:

the months would be the x axis and the numbers would be the y axis and the increments could start at 45k and have to go up to 800k don't forget the years with the months

Multiply 1 4/5 * 1 ???

Answers

Answer:

9/5 or 1 4/5

Step-by-step explanation:

You’re welcome :)

Answer:

your answer will come to be 1.8

ASAP
During his workouts last week, Allen jogged the same amount of time each day for 6 days. Use the following information to determine the number of minutes Allen jogged each day:

During each workout, he jogged and rode his bike.
He rode his bike for 45 minutes each day.
He worked out for a total of 360 minutes last week.
What is the number of minutes that Allen jogged each day last week? Enter your answer in the box below.

Answers

Answer:

15 mins

Step-by-step explanation:

1. figure out how many minutes he rode his bike for (45x6=270)

2. subtract that from the total (360-270=90)

3. divide the total amount he jogged for by the days he jogged for (90/6 = 15)

4. the answer is Allen jogged 15 mins a day for 6 days

Pls Mark Brainliest

Evaluate the integral using the indicated trigonometric substitution. sqrt(x2 − 81)/x dx, x = 9 sec()

Answers

C=C' - 81/2 In 9

hope it helps:))

PLEASE HELP ME WITH ME MATH In a survey of 3500 people who owned a certain type of​ car, 1750 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

Answers

Answer:

50%

Step-by-step explanation:

3500 divided  by 1750 is 2 which is equal to 50%

The function f(x) is shown on the graph

Answers

Answer:

what I need more information to answer your question what is the question and show me the graph please

Jimmy scored 49 goals in soccer this season. Tommy scored 7 times fewer goals. how many goals did Tommy score

Answers

Tommy scored 42

49 -7 = 42

Carmen returned a bicycle to Earl's Bike Shop. The sales receipt showed a total paid price of $\$211.86$, including the $7\%$ sales tax. What was the cost of the bicycle without the sales tax?

Answers

Answer:

$198

Step-by-step explanation:

Given that:

Sales price on the sales receipt (including the sales tax) = $211.86

Sales tax = 7%

To find:

The cost of the bicycle without the sales tax = ?

Solution:

First of all, we will have to let the cost of bicycle without the sales tax.

Let the cost of bicycle without the sales tax = $[tex]x[/tex]

Cost of bicycle without the sales tax and with sales tax is given as equal to $211.86.

Writing the equation as per question statement:

[tex]x+x\times 7\%=\$211.86\\\Rightarrow \dfrac{107}{100}x=\$211.86\\\Rightarrow x=\dfrac{21186}{107}\\\Rightarrow \bold{x = \$198}[/tex]

Therefore, the cost of bicycle without the sales tax = $198

Find the sum 1 4/5 and 3 2/3

Answers

Answer:

82/15 but you can also write it as 5 7/15

Step-by-step explanation:

1 4/5= 27/15 3 2/3=55/15

27/15+55/15= 82/15

82/15 = 5 7/15

Will mark as brainliest if correct! (#14)

Answers

Answer:

B and D

Step-by-step explanation:

To find the percentage, you divide Martin's correct answers by the total number of questions, then multiply the result by 100.

To find the fraction, it's correct answers/total questions.

Answer:

you should get your answer to be ,B and D

Ryanne is 14. Her brother’s age is three more than half her age. How old is her brother?

Answers

Answer:

Her brother is 10 years old

Step-by-step explanation:

14 ÷ 2 = 7

7 + 3 = 10

The answer is 10

Jen paid 26 cents for a mini bag of candy.She bought 4 bags of candy for herself and a friend.How much will she pay for the candy?

Answers

Answer: 1.04 I think

Step-by-step explanation:

Answer:

1.04

Step-by-step explanation:

26x4=104 and I put the decimal point in.

LM has the endpoints l at -5 and m to -9 .to find the point x so that x divideds the directed line segments LM in a 2:3 ratio

Answers

Answer:

The value of point x is 3/5 .

Step-by-step explanation:

Please help my cousin do this. She isn't that bright in math.

Answers

Answer:

$4.8 for sugar and $25 for butter.

Step-by-step explanation:

Sally made 4 1/2 pounds of trail mix. If she puts 1 1/8 pounds into each bag, how many bags can Sally fill?

Write your answer as a fraction or as a whole or mixed number.

Answers

Answer:

The answer is 4

Step-by-step explanation:

convert bot fractions into a decimal

4 1/2 = 4.5   1 1/8 = 1.125

4.5 divided by 1.125= 4

I believe that the answer is 4. because 1.125 (8/9) goes into 4.5 (9/2) 4 times

The percent of concentration of a certain drug in the bloodstream x hours after the drug is administered is given by K(x) 5x/x^2 + 9. a. Find the time at which the concentration is a maximum. b. Find the maximum concentration.

Answers

Given :

The percent of concentration of a certain drug in the bloodstream x hours after the drug is administered is given by [tex]K(x) = \dfrac{5x}{x^2+9}[/tex].

To Find :

Find the time at which the concentration is a maximum. b. Find the maximum concentration.

Solution :

For maximum value of x, K'(x) = 0.

[tex]K'(x) = \dfrac{5(x^2+9)- 5x(2x)}{(x^2+9)^2}=0\\\\5x^2+45-10x^2=0\\\\5x^2 = 45\\\\x = \pm 3[/tex]

Since, time cannot be negative, so ignoring x = -3 .

Putting value of x = 3, we get, K(3) = 15/( 9 + 9) = 5/6

Therefore, maximum value drug in bloodstream is 5/6 at time x = 3 units.

Hence, this is the required solution.

Geometry: Express the area of each figure as a monomial. I need help with this, anyone? ​

Answers

Answer:

answer 28ab³ I think maybe

The area of the right-angled triangle is represented as the monomial [tex]12a^3b^4[/tex].

Here,

The formula to calculate the area of a right-angled triangle is:

Area = (1/2) * base * height

In this case, the right-angled triangle has a height of [tex]6ab^3[/tex] and a base of [tex]4a^2b[/tex].

Now, let's substitute these values into the formula:

Area = [tex](1/2) * 4a^2b * 6ab^3[/tex]

Now, simplify the expression:

Area = [tex]2 * a^2b * 6ab^3[/tex]

To find the monomial representation, multiply the coefficients and add the exponents of like terms:

Area = [tex]12a^{(2+1)}b^{(1+3)[/tex]

Finally, simplify the exponents:

Area = [tex]12a^3b^4[/tex]

So, the area of the right-angled triangle is represented as the monomial [tex]12a^3b^4[/tex].

To learn more on triangle area click:

brainly.com/question/19305981

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Goods on an invoice have been calculated as £1,495. Total discount has been calculated as £149 and VAT is £269.20. What is the total amount of the invoice?​

Answers

Answer:

£1,616.2

Step-by-step explanation:

1,496 - 149 = 1347

1347 + 269.20 = 1616.2

Brielle’s piggy bank has all nickels and dimes. The total value of the money in her piggy bank is $7.80. If Brielle
has 66 nickels, write and solve a linear equation to find the number of dimes she has.

Answers

66*0.5=3.30

7.80-3.30=4.50

4.50/0.10=45

ANSWER: 45 dimes

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