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3 years ago

Find the 8th term in the sequence with this explicit formula: c(n) = -6 + 5(n - 1)

Mathematics

1 answer:

QveST [7]3 years ago

6 0

We are given this explicit formula :

$c(n) = -6 + 5(n - 1)$

In order to find eighth term let us plug n as 8 in this formula:

$c(8) = -6 + 5(8 - 1)$

subtracting 8-1 first using pemdas rule

$c(8) = -6 + 5(7)$

multiplying 5 and 7

$c(8) = -6 + 35$

subtracting 35-6

c(8) = 29

So eighth term is 29.

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To cut a lawn, Allan charges a fee of $15 for his equipment and $8.50 per hour spent cutting a lawn. Taylor charges a fee of $12

777dan777 [17]

Answer:

Step-by-step explanation:

Let y be the total charge and x no of hours spent for cutting the lawn,

Then for Allan we have the equation as

y = 8.50x+15

SInce 15 is the fixed charge and 8.50 is charged per hour we get the above equation for Allan.

Next similarly for Taylor, we have fixed charges 12 and variale 9.25

y =9.25x+12

When Taylor total charges is greater than Allan's total charge

we have 9.25x+12>8.5x+15

Simplify to get

0.75x>3

Or x>4

Whenever x i.e. no of hours exceed 4, Taylor charges will be greater than that of Allan

5 0

3 years ago

Find the savings plan balance after 18 months with an APR of 3% and monthly payments of $200.

ArbitrLikvidat [17]

The saving plan balance is $3,677.53.

Given that,

The no of months is 18.
The annual percentage rate is 3% so the monthly rate percentage is 0.25%.
And, the monthly payment is $200.

Based on the above information, the following formula should be used:

FVA = PMT× [(1+r)^n - 1] ÷ r

= $200 × [(1+ 0.0025)^18 - 1] ÷ 0.0025

= $3,677.53

Therefore we can conclude that the saving plan balance is $3,677.53.

Learn more: brainly.com/question/14191332

4 0

2 years ago

Please help!!! ITS URGENT!1

tatiyna

Answer:

answer was 3)

Step-by-step explanation:

Because function was star with 1,2,3,4,

6 0

3 years ago

A contractor buys 8.2 square feet of sheet metal. She used 2.1 square feet so far and has $183 worth of sheet metal remaining. W

swat32

Given that total amount of metal in the beginning = 8.2 square feet

Given that used amount of metal = 2.1 square feet

Then remaining amount of metal = (8.2-2.1) = 6.1 square feet

Now it says that "$183 worth of sheet metal remaining".

That means cost of 6.1 square feet is $183.

Let cost of 1 square feet of the metal = x

Then cost of 6.1 square feet of the metal = 6.1x

Both expressions 6.1x and $183 represent the cost of the remaining metal so the required equation will be:

6.1x=183

Now we can solve it to find the solution

x=183/6.1

x=30

So the cost per square feet of the metal = $30

Hence final answer is $30 per square feet.

3 0

3 years ago

Read 2 more answers

The principal randomly selected six students to take an aptitude test. their scores were: 81.4 78.6 71.3 77.8 76.9 77.7 determin

Firdavs [7]

The confidence interval is $77.28\pm 2.23$ .

We first find the mean. Add together all of the data points and divide by 6, the number of data points; the mean is 77.28.

Next we find the standard deviation. Find the difference between each data point and the mean; square it; find the sum; divide by the number of data points; take the square root. The standard deviation is 3.32.

To find the margin of error, we calculate the z-score associated with this level of confidence. 100-90 = 10% = 0.1; 0.1/2 = 0.05; 1-0.05 = 0.95. Using a z-table (http://www.z-table.com) we see that this is between two scores, 1.64 and 1.65; we will use 1.645.

The margin of error is given by
z * (σ/√n) = 1.645*(3.32/√6) = 2.23.

Thus the confidence interval is 77.28 +/ 2.23.

3 0

3 years ago