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USPshnik [31]
4 years ago
12

Find the simplest form of the general term for the sequence 11, 15, 19, 23, .

Mathematics
2 answers:
lbvjy [14]4 years ago
8 0

Answer:

4n+7

Step-by-step explanation:

Im on odyssey and this is the right answer.

sveta [45]4 years ago
5 0
The general term of an arithmetic sequence is
  an = a1 +(n-1)d
Your sequence has first term a1 = 11 and common difference d = 4. Then the general term is
  an = 11 + (n-1)*4

The simplest form of the general term is
  an = 7 + 4n
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A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 7 − x 2 y=7-x2. what are the dimensions of such a rectangle with the greatest possible area?

5 0
4 years ago
Wilson paints 40% of a bookcase in 20 minutes. How much more time will it take him to finish his bookcase
aivan3 [116]
It will take 60 more minutes to complete the entire bookshelf
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8 0
3 years ago
Write a system of equations to describe the situation below, solve using an augmented matrix, and fill in the blanks.This mornin
Georgia [21]

Answer:

\begin{gathered} \text{ A tray of club sandwiches cost \$9} \\ A\text{ tray of vegetarian sandwiches cost \$6.} \end{gathered}

Step-by-step explanation:

Given the information, create the following augmented matrix:

The first order was for 1 tray of club sandwiches, at a cost of $9. The second-order, which cost $69, was for 5 trays of club sandwiches and 4 trays of vegetarian sandwiches.

\begin{gathered} 5x+4y=69 \\ x=9 \end{gathered}

Into an augmented matrix:

\begin{bmatrix}{5} & {4} \\ {\placeholder{⬚}} & {1}\end{bmatrix}\begin{bmatrix}{69} & {} \\ {9} & {}\end{bmatrix}

Solve.

Let x be the cost of a tray of club sandwiches.

Let y be the cost of a tray of vegetarian sandwiches.

\begin{gathered} x=9 \\ Substitute\text{ on the first equation} \\ 5(9)+4y=69 \\ 4y=69-45 \\ y=\frac{24}{4} \\ y=6 \end{gathered}

8 0
1 year ago
What is the total lifetime cost for a loan had a principal of $5,500, an interest rate of 7.5% compounded monthly, and a duratio
Marizza181 [45]

Answer: the total lifetime cost for the loan is $11616.4

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total cost of the loan at the end of t years.

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount borrowed.

From the information given,

P = $5,500

r = 7.5% = 7.5/100 = 0.075

n = 12 because it was compounded 12 times in a year.

t = 10 years

Therefore,

A = 5500(1 + 0.075/12)^12 × 10

A = 5500(1 + 0.00625)^120

A = 5500(1.00625)^120

A = $11616.4

7 0
3 years ago
Evaluate: <br> (4/25)^1/2 in fraction
algol13

Answer:

As

\left(\frac{4}{25}\right)^{\frac{1}{2}}=\frac{2}{5}

Therefore,  option C is true.

Step-by-step explanation:

Given the expression

\left(\frac{4}{25}\right)^{\frac{1}{2}}

as

\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}

so the expression becomes

\left(\frac{4}{25}\right)^{\frac{1}{2}}=\frac{4^{\frac{1}{2}}}{25^{\frac{1}{2}}}

          =\frac{4^{\frac{1}{2}}}{25^{\frac{1}{2}}}

          =\frac{2}{25^{\frac{1}{2}}}

            =\frac{2}{5}

Hence,

\left(\frac{4}{25}\right)^{\frac{1}{2}}=\frac{2}{5}

Therefore,  option C is true.

3 0
3 years ago
Read 2 more answers
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