How would you get -24 as the answer?

C(n)=-6+5(n-1) find the 8th term in this sequence

Goryan [66]

Answer:

29

Just replace n by 8 ===> C(8) = -6+5(8-1) = - 6 + 5x7 = -6+35 = 29

Step-by-step explanation:

We have been given a sequence formula. We are asked to find the 8th term of our given sequence.

We know that an arithmetic sequence is in form A_n=a_1+(n-1)d, where,

A_n=\text{ nth term of sequence},

A_1=\text{ 1st term of sequence},

n = Number of terms in sequence,

d = Common difference.

To find the 8th term of our given sequence, we will substitute n=8 in our given formula.

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

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

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

c(8)=-6+35

5 0

3 years ago

A square piece of fabric has an area of (9x2 + 24x + 16) square inches. The length of each side of the fabric is (cx + d) in., w

horrorfan [7]

If the area of the square is 9x^+24x+16, then the side length wouldd be the square root of that. That would be 3x+4. The perimeter would be 4 times that so the perimeter is 4(3x+4) = 12x+16

Hope that helped

7 0

4 years ago

Parallelogram abcd is divided into two triangles along diagonal ac. if you know the area of the parallelogram, how do you find t

Lera25 [3.4K]

Answer :- Just try area/2 or half the area of the triangle

6 0

3 years ago

Read 2 more answers

Annie invests $400 in a bank that offers 5.5% simple annual interest after 6 years her investment will increase by blank dollars

Zinaida [17]

Answer:

Her investment will increase by 551.54 dollars

Step-by-step explanation:

So we know that the exponential function formula is f(x)=a(1+r)^x

So knowing that we can input values

So now we have f(x)=400(1+0.055)^6

Since it is annual we will only have the interest yearly so that changes are equation to look like this f(x)=400(1+0.055/1)^6

So next we have to add 1 and 0.055 which is 1.055

So we input that into the equation so now we have f(x)=400(1.055/1)^6

Now we have to do (1.055/1) to the power of six, so we get 1.37884280676

Now we have to 1.37884280676 times 400, which would be 551.537122705.

Assuming they want to the nearest 100th it would be 551.54

So the answer is 551.54 dollars

Hopefully, that helped. If I made any mistake or I am incorrect feel free to correct me. :)

5 0

3 years ago

According to Money magazine, Maryland had the highest median annual household income of any state in at (Time website). Assume t

Ad libitum [116K]

Answer:

The probability that a household in Maryland has an annual income of X or more is 1 subtracted by the p-value of $Z = \frac{X - \mu}{\sigma}$ , in which $\mu$ is the mean income and $\sigma$ is the standard deviation of incomes.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

Mean $\mu$ , standard deviation $\sigma$

What is the probability that a household in Maryland has an annual income of X or more?

The probability that a household in Maryland has an annual income of X or more is 1 subtracted by the p-value of $Z = \frac{X - \mu}{\sigma}$ , in which $\mu$ is the mean income and $\sigma$ is the standard deviation of incomes.

6 0

3 years ago