Complete question is;
Mr. Kurris is 50 years old. In 4 years, his house will be paid off and his daughter will be finished with college. He wants to take out a 5-year level-term life insurance policy with a face value $750,000. The monthly premium is $61,
a. What will be his total cost for this policy over the 5-year period?
b. If he dies after paying for the policy for 16 months, how much will the insurance company pay his beneficiaries?
c. If he does not die during the 5 years, how much does the insurance company make on this policy?
d. If he dies after paying for the policy for 13 months, how much will the insurance company lose on this policy?
Answer:
A) $3660
B) $750000
C) $3660
D) $749,207
Step-by-step explanation:
A) Since he wants to take out a five-year level-term life insurance policy, then number of payments for 5 years is;
12 months × 5 = 60 payments.
Since monthly premium is $61, then total cost = 61 × 60 = $3660
B) This is a level-term life insurance policy and so he will be paid the same amount over the entire period of the insurance policy.
Thus If he dies after paying for the policy for 16 months, his beneficiaries will still be paid same $750000
C) if he does not die during the 5 years, the amount the insurance company will make is same as the amount he is due for his premium which is $3660.
D) If he dies after paying for the policy for 13 months, amount that the insurance company will lose is;
>> 750000 - 13(61) = $749,207
A Ferris wheel has a diameter of 380 feet and the center of the wheel is 195 feet above the ground. The wheel makes a complete turn every 4 minutes. Write a cosine function to express the height h (in feet) of a passenger on the wheel as a function of time t (in minutes), given that the passenger is at the lowest point on the wheel when t
Answer:
y = -190 cos(π t / 120) + 195
Step-by-step explanation:
General form of a sinusoidal function: y = A cos(Bt - C) + D
Now generally a cosine function starts at the maximum value, so to start at the minimum value, flip the cosine function by making it negative.
A is the amplitude of the curve and will be the radius of the ferris wheel. Therefore, A = 380 / 2 = 190 feet.
2π / B is the period of the curve and will be the time to complete one full rotation. The time to complete one full rotation is given as 4 minutes. Convert this into seconds to get period = 4 minutes * (60 seconds / minute) = 240 seconds. Therefore, B = 2π / period = 2π / 240 seconds = π / 120.
C/B is the phase shift, or horizontal shift of the graph. Since the negative cosine function already starts at the minimum value, there is no phase shift so C/B = 0, meaning C = 0.
D is the vertical shift and will be the height of the center of the ferris wheel. Therefore, D = 195 feet.
Your final function will be:
y = -190 cos(π t / 120) + 195
Identify the sample space of the probability experiment: answering a true or false question.
Answer:
we would need to know what the experiment was or we can't awnser
Solve for angle A. Please help quickly !!
Answer:
∠ A ≈ 75.7°
Step-by-step explanation:
Given
[tex]\frac{sinA}{8}[/tex] = [tex]\frac{sin58}{7}[/tex] ( cross- multiply )
7 × sinA = 8 × sin58° ( divide both sides by 7 )
sinA = [tex]\frac{8sin58}{7}[/tex] , then
∠ A = [tex]sin^{-1}[/tex] ([tex]\frac{8sin58}{7}[/tex] ) ≈ 75.7° ( to the nearest tenth )
What is the measure of arc GH?
Answer:
62 degrees
Step-by-step explanation:
The angle is an inscribed angle, so its measure is half the measure of the intercepted arc.
Said another way, the intercepted arc is twice the measure of the inscribed angle.
2 x 31 = 62
A fair die is rolled once. Let A be the event of rolling an even number, and let B be the event of rolling a number greater than 3. Find A ∩ B
Answer:
A ∩ B = {4, 6}
Step-by-step explanation:
A die had 6 faces
S = {1, 2, 3, 4, 5, 6}
If A be the event of rolling an even number, then;
A = {2, 4, 6}
If B be the event of rolling a number greater than 3, then;
B = {4, 5, 6}
A ∩ B are the values that are common to both sets
A ∩ B = {4, 6}
Help Please I will mark brainlist dont answer if you don’t know and no links.
Answer:
63
Step-by-step explanation:
Answer:
its A
Step-by-step explanation:
please answer this question
Answer:
see explanation
Step-by-step explanation:
(a)
[tex]\frac{3}{7}[/tex] a × - [tex]\frac{21}{15}[/tex] b ( cancel 3 and 15 and 7 and 21 )
= a × - [tex]\frac{3}{5}[/tex] b
= - [tex]\frac{3}{5}[/tex] ab
(b)
3xy(5x²y² - 4yz) ← multiply each term in the parenthesis by 3xy
= 15x³y³ - 12xy²z
Which of the following are maximum and minimum points of the function y= 2 cos x - 1?
A) Maximums: (0, 3), (2π, 3); Minimum: (π, -3)
B) Maximums: (0, 1), (2π, 1); Minimum: (π, -3)
C) Maximums: (0,3), (2π, 3); Minimum: (π, -1)
D) Maximums: (0, 1) (π/2, 1); Minimum: (3^π/2, -3)
Answer:
B) Maximums: (0, 1), (2π, 1);
Minimum: (π, -3)
What is the value of x in the equation
-x =2 - 3x +6?
1) 8
2) 4
3) -4
4) -8
Answer:
x=4 Postive
Step-by-step explanation:
See the steps below:)
In which function is the range equal to the domain?
1) y = 2
2) y=x?
3) y = log x
4) y = x
pupils are required to spend 3/8 of the day at school and 2/3 of that time in class. How much time do they spend doing Mathematics? Give your answer in minutes.
Answer:
[tex]Time \ in\ school = \frac{3}{8} \ of \ the \ day[/tex]
= [tex]\frac{3}{8} \times 24 = 9 \ hours \ in \ school[/tex]
[tex]Time \ in \ class = \frac{2}{3} \ of \ the \ time \ in \ school = \frac{2}{3} \times 9 = 6 \ hours \ in \ class[/tex]
1 hour = 60 minutes
Therefore, 6 hours = 360 minutes
So , 360 minutes they spent doing mathematics.
Maria is given a pay increase of 3%. After the pay increase, she earns $2472 each month. Calculate her monthly pay before the pay increase.
Answer: $2400
Step-by-step explanation:
Given
Maria got a hike of 3%.
After the hike she earns $2472 each month
Suppose, before hike she earns x each month
[tex]\Rightarrow x+x\times 3\%=2472\\\Rightarrow x(1+0.03)=2472\\\Rightarrow 1.03x=2472\\\Rightarrow x=\$2400[/tex]
Thus, she earns $2400 before the hike.
YALLL HELPP ME PLEASEE!!!!!!!!
Step-by-step explanation:
1. -5 not suree
2.50
my anwser could be wrong sooo...
Given that Δ C A T ≅ Δ D O G, select all statements that must be true
Sarah went on a run. On her run she found 6 rocks. When she was going back home she found 7 more rocks. When she got home she relized she lost 2 of the rocks. How many rocks does she have now?
Answer:
11
Step-by-step explanation:
first you add 6 + 7 = 13
then you 13 - 2 which gives you eleven!
does anyone know this
Answer:
a=170
Step-by-step explanation:
180-6=174mil
round to 170.
Answer:
4.9 (rounded)
Step-by-step explanation:
a^2 + 1^2 = 5^2
a^2 + 1 = 25
- 1 - 1
= a^2 = 24
[tex]\sqrt{a^2 = 24}[/tex] = 4.9 (rounded)
reduce 287/861 to the simplest term in fractions
Answer:
1/3
hope this helps
have a good day :)
Step-by-step explanation:
A rhombus has diagonals with lengths 6 cm and 10 cm. It’s area is ____
A. 60 cm^2
B. 30 cm^2
C. 15 cm^2
D. 36 cm^2
Answer:
B.
Step-by-step explanation:
A = ab/2
A = (6 cm)(10 cm)/2
A = 30 cm^2
Answer: B.
6x – 3x + 4 – 2x = x + one solution ,no solution, and many solution
Answer:
6x – 3x + 4 – 2x = x
x+4=x
4=0
no solution
hope this helps
have a good day :)
Step-by-step explanation:
A recipe calls for 21 scoops of sugar. Each scoop is 2.5 oz of sugar. How many scoops do you need if the scoop holds 3.5 oz of sugar?
Answer:
you would need 6 scoops of sugar
Answer:
You would need 15 scoops of sugar per 3.5 oz
Step-by-step explanation:
I just need someone to help me with this, I will give brainilist I just need someone to put these numbers in the correct order!!!!!!!
Answer: I think it’s C
Answer:
A is the correct answer to this problem.
Please help me almost due!!!:):$:
Answer:
Our two selected points:
-3, 3
2, -4
-4 -(3) 7
_____ = - _____ = -7/5, D is your answer
2 - (-3) 5
Find the gradient of the following line
Answer:
y=-2.6+2
Step-by-step explanation:
using the eqaution y=mx+c
find the value of x
Answer:
x = 25
Step-by-step explanation:
40 is a vertical angle equal to the angle to the right of 2x.
2x, 40, and 90 are supplementary angles (they add up to 180)
2x + 40 + 90 = 180
2x + 130 = 180
2x = 180 - 130
2x = 50
x = 25
Answer:
they are right
Step-by-step explanation:
help i’ll give brainliest
Answer:
The answer would be D, hope this helps
6 less than half of r : translate into expression
Answer:
r/2 -6
Step-by-step explanation:
less than means it comes after
half of r
r/2
6 less than means subtract
r/2 -6
At his new job, Jeremiah can choose an hourly rate of $9 plus a $50 weekly bonus for opening the store, or an hourly rate of $10 per hour with no opening bonus. The equations model his salary options.
a designer created a scale drawing of a new kitchen. In the scale drawing, the length of the kitchen will be 8 feet. What scale did the designer use to create the scale drawing of the kitchen
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]Scale\ length = 8ft[/tex]
Required
Determine the scale of the drawing
The question is incomplete, as the actual width of the kitchen is not given. The general explanation, however, is as follows:
The scale of a drawing is represented as:
[tex]Scale = Scale\ Measurement : Actual\ Measurement[/tex]
This gives:
[tex]Scale = 8ft : Actual[/tex]
Assume the actual length of the kitchen is 24ft.
The equation becomes:
[tex]Scale = 8ft : 24ft[/tex]
Divide by 8ft
[tex]Scale = 8ft/8ft : 24ft/8ft[/tex]
[tex]Scale = 1 : 3[/tex]
1. Calculate the volume of the rectangular prism. Answers are in cubic
millimeters.
4 mm height
17 mm width
9 mm length
Answer:
The answer is 612
How many more lawns can logan mow per hour thanhow many more lawns can logan mow per hour than brian brian
Answer:
Logan can mow 1 lawn per hour more than Brian
Step-by-step explanation:
Given
[tex]Logan: 8\ lawns \to 4\ hours[/tex]
See attachment for Brian's graph
First, calculate Logan's hourly rate
[tex]Rate = \frac{Lawn}{Time}[/tex]
[tex]Rate = \frac{8\ lawns}{4\ hours}[/tex]
Rate = 2 lawns per hour
To calculate Brian's rate, we select 2 points from the linear graph
[tex](x_1,y_1) = (1,1)[/tex]
[tex](x_2,y_2) = (2,2)[/tex]
So, the rate is:
[tex]Rate = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]Rate = \frac{2 - 1}{2 - 1}[/tex]
[tex]Rate = \frac{1}{1}[/tex]
Rate = 1 lawn per hour
So, we have:
[tex]Logan = 2[/tex]
[tex]Brian = 1[/tex]
Calculate the difference (d)
[tex]d = Logan - Brian[/tex]
[tex]d = 2 - 1[/tex]
[tex]d = 1[/tex]
Logan can mow 1 lawn per hour more than Brian