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trapecia [35]
2 years ago
6

What is the annual premium for $75,000, 10 year life insurance policy for a 40 year old male (Put answer to two decimal places)?

Mathematics
1 answer:
Anvisha [2.4K]2 years ago
5 0

Answer:

About $437.25

Step-by-step explanation:

Using the table which gives the annual premium per $1000; the premium paid annually by the 40 year old male is $437.23

The total annual premium = $75000

Using the data in the table :

Annual premium per $1000 of coverage for a 40-year old male with a 10 - years life insurance policy = $5.83

The annual premium for $75,000 ;

Premium per $1000 × ($75000/$1000)

Annual premium = $5.83 × ($75,000/1000)

Annual premium = $5.83 × 75 = $437.25

Hence, the annual premium for the lifetime insurance based on the stated conditions is $437.25

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There are 22 rows of seats on a concert hall: 23 seats are in the 1st row, 27 seats on the 2nd row, 31 seats on the 3rd row, and
JulijaS [17]
We can model this situation with an arithmetic series.
we have to find the number of all the seats, so we need to sum up the number of seats in all of the 22 rows.

1st row: 23
2nd row: 27
3rd row: 31
Notice how we are adding 4 each time.

So we have an arithmetic series with a first term of 23 and a common difference of 4.

We need to find the total number of seats. To do this, we use the formula for the sum of an arithmetic series (first n terms):

Sₙ = (n/2)(t₁ + tₙ)

where n is the term numbers, t₁ is the first term, tₙ is the nth term

We want to sum up to 22 terms, so we need to find the 22nd term

Formula for general term of an arithmetic sequence:

tₙ = t₁ + (n-1)d,

where t1 is the first term, n is the term number, d is the common difference. Since first term is 23 and common difference is 4, the general term for this situation is

tₙ = 23 + (n-1)(4)

The 22nd term, which is the 22nd row, is

t₂₂ = 23 + (22-1)(4) = 107

There are 107 seats in the 22nd row.

So we use the sum formula to find the total number of seats:

S₂₂ = (22/2)(23 + 107) = 1430 seats

Total of 1430 seats.
If all the seats are taken, then the total sale profit is

1430 * $29.99 = $42885.70
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3 years ago
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