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elixir [45]
3 years ago
12

A property insurance policy is issued at a total cost of $2,540 for 6 months. If the insurance company offers a one-time $50 reb

ate, what is the cost per month?
Mathematics
1 answer:
murzikaleks [220]3 years ago
5 0

Answer:

$431.67

Step-by-step explanation:

Let

The one time $50 rebate be for the first month

Cost of insurance per month = x

First month cost of insurance = x-50

Total cost of insurance = $2,540

Total cost of insurance = 1st + 2nd + 3rd + 4th + 5th + 6th

2,540 = x-50 + x + x + x + x + x

2540 + 50 = 6x

2590 = 6x

Divide both sides by 6

x= 2,590 / 6

= 431.67

x= $431,67

The cost of the insurance per month = $431.67

Check:

$431.67 * 6 months

=$2,590.02

Minus one time rebate of $50

= $2,590.02 - $50

= $2,540.02

Approximately

$2,540

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Answer:

see explanation

Step-by-step explanation:

the sum to n terms of an arithmetic sequence is

S_{n} = \frac{n}{2}[2a + (n - 1)d ]

where d is the common difference and a is the first term

here d = 9 - 7 = 7 - 5 = 2 and a = 5, hence

S_{n} = \frac{n}{2}[(2 × 5) + 2(n - 1) ]

                        = \frac{n}{2}(10 + 2n - 2)

                        = \frac{n}{2}(2n + 8)

                        = n² + 4n

When sum = 165, then

n² + 4n = 165 ← rearrange into standard form

n² + 4n - 165 = 0 ← in standard form

(n + 15)(n - 11) = 0 ← in factored form

equate each factor to zero and solve for n

n + 15 = 0 ⇒ n = - 15

n - 11 = 0 ⇒ n = 11

but n > 0 ⇒ n = 11



4 0
3 years ago
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Step-by-step explanation:

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solong [7]
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3 years ago
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elixir [45]
If I understand your question correctly then it's simple all you have to do is use the numbers in the place of the b and c so the question would be what is 8-7 which equals 1 
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