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2 years ago

Write a rule for the nth term of the arithmetic sequence a8=-15 a17=-78

Mathematics

1 answer:

vivado [14]2 years ago

4 0

Answer:

Find the 40th term for the arithmetic sequence in which

a8=60 and a12=48 .

Substitute 60 for a8 and 48 for a12 in the formula

an=a1+(n−1)d to obtain a system of linear equations in terms of a1 and d .

a8=a1+(8−1)d→60=a1+7da12=a1+(12−1)d→48=a1+11d

Subtract the second equation from the first equation and solve for d .

12=−4d−3=d

Then 60=a1+7(−3) . Solve for a .

60=a1−2181=a1

Now use the formula to find a40 .

a40=81+39(−3)=81−117=−36 .

Step-by-step explanation:

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4 years ago

What is the cash payment of a article costing RS.2020 allowing a discount of Rs.20 and levying 13% VAT?

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2 years ago

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2 years ago

At the state fair 4 employees were paid $8.20 an hour to work at a corn-dog stand. They worked for 10 hours at regular pay and t

Katen [24]

Answer:

<u>The four employees earned $ 452.80 in total</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Hour rate = $ 8.20

Overtime hour rate = $ 2.20 extra

Regular hours = 10

Overtime hours = 3

Number of employees = 4

2. How much money did they earn in total?

Let's find out the individual pay for an employee and then we'll calculate the pay for the 4 employees:

Individual pay = 10 * 8.20 + 3 * 10.40

Individual pay = $ 113.20

Total pay = Individual pay * 4

Total pay = 113.20 * 4

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3 years ago