Which of the following expressions represents the phrase "19 less than a number"?

n + 19
n ÷ 19
19 - n
n - 19

Answer:

[tex]S_{1893} =5632.98[/tex]

Step-by-step explanation:

The correct form of the question is:

[tex]S = 1.001^{1892} + ... + 1.001^2 + 1.001 + 1[/tex]

Required

Solve for Sum of the sequence

The above sequence represents sum of Geometric Sequence and will be solved using:

[tex]S_n = \frac{a(1 - r^n)}{1 - r}[/tex]

But first, we need to get the number of terms in the sequence using:

[tex]T_n = ar^{n-1}[/tex]

Where

[tex]a = First\ Term[/tex]

[tex]a = 1.001^{1892}[/tex]

[tex]r = common\ ratio[/tex]

[tex]r = \frac{1}{1.001}[/tex]

[tex]T_n = Last\ Term[/tex]

[tex]T_n = 1[/tex]

So, we have:

[tex]T_n = ar^{n-1}[/tex]

[tex]1 = 1.001^{1892} * (\frac{1}{1.001})^{n-1}[/tex]

Apply law of indices:

[tex]1 = 1.001^{1892} * (1.001^{-1})^{n-1}[/tex]

[tex]1 = 1.001^{1892} * (1.001)^{-n+1}[/tex]

Apply law of indices:

[tex]1 = 1.001^{1892-n+1}[/tex]

[tex]1 = 1.001^{1892+1-n}[/tex]

[tex]1 = 1.001^{1893-n}[/tex]

Represent 1 as [tex]1.001^0[/tex]

[tex]1.001^0 = 1.001^{1893-n}[/tex]

They have the same base:

So, we have

[tex]0 = 1893-n[/tex]

Solve for n

[tex]n = 1893[/tex]

So, there are 1893 terms in the sequence given.

Solving further:

[tex]S_n = \frac{a(1 - r^n)}{1 - r}[/tex]

Where

[tex]a = 1.001^{1892}[/tex]

[tex]r = \frac{1}{1.001}[/tex]

[tex]n = 1893[/tex]

So, we have:

[tex]S_{1893} =\frac{1.001^{1892} *(1 -\frac{1}{1.001}^{1893})}{1 -\frac{1}{1.001} }[/tex]

[tex]S_{1893} =\frac{1.001^{1892} *(1 -\frac{1}{1.001}^{1893})}{\frac{1.001 -1}{1.001} }[/tex]

[tex]S_{1893} =\frac{1.001^{1892} *(1 -\frac{1}{1.001}^{1893})}{\frac{0.001}{1.001} }[/tex]

[tex]S_{1893} =\frac{1.001^{1892} *(1 -\frac{1}{1.001^{1893}})}{\frac{0.001}{1.001} }[/tex]

Simplify the numerator

[tex]S_{1893} =\frac{1.001^{1892} -\frac{1.001^{1892}}{1.001^{1893}}}{\frac{0.001}{1.001} }[/tex]

[tex]S_{1893} =\frac{1.001^{1892} -1.001^{1892-1893}}{\frac{0.001}{1.001} }[/tex]

[tex]S_{1893} =\frac{1.001^{1892} -1.001^{-1}}{\frac{0.001}{1.001} }[/tex]

[tex]S_{1893} =(1.001^{1892} -1.001^{-1})/({\frac{0.001}{1.001} })[/tex]

[tex]S_{1893} =(1.001^{1892} -1.001^{-1})*{\frac{1.001}{0.001}}[/tex]

[tex]S_{1893} =\frac{(1.001^{1892} -1.001^{-1}) * 1.001}{0.001}[/tex]

Open Bracket

[tex]S_{1893} =\frac{1.001^{1892}* 1.001 -1.001^{-1}* 1.001 }{0.001}[/tex]

[tex]S_{1893} =\frac{1.001^{1892+1} -1.001^{-1+1}}{0.001}[/tex]

[tex]S_{1893} =\frac{1.001^{1893} -1.001^{0}}{0.001}[/tex]

[tex]S_{1893} =\frac{1.001^{1893} -1}{0.001}[/tex]

[tex]S_{1893} =5632.97970294[/tex]

Hence, the sum of the sequence is:

[tex]S_{1893} =5632.98[/tex] ----- approximated

Answer:

Undefined

Step-by-step explanation:

Answer: You need to add the question

Step-by-step explanation:

to get the answer I cant see the question that well

Answer:

13x+24

Step-by-step explanation:

8x+14+5x+10

13x+24

Answer:

13x+24

Step-by-step explanation:

8x+14+5x+10

13x+14+10=

13x+24

Answer:

c,

Step-by-step explanation:

have a good day, glad I could help :)

Answer:

b should be the answer

Step-by-step explanation:

Answer:

C is the correct answer

Step-by-step explanation:

I know thus because you go down 5/10 every time and 5/10 as a decimal is 0.5 which means the slope is -0.5

Answer:

answer is 14 not sure but i tried

if it is right mark me as brainliest

Answer:

What is the triangle?

Can you edit your question to contain a picture of the triangle so I can give you a definite answer?

Step-by-step explanation:

May I have brainliest please? :)

Answer:

n = 53

Step-by-step explanation:

Write the equation like this to find the answer.

848/n = 16 (Multiply each side by n to get 848 by itself)

848 = 16n (divide each side by 16 to get n by itself)

53 = n

CHECK

848/53 = 16

16 = 16

Hope this helps you! Have a good Thanksgiving Break!!

5 feet = 60 inches

Sarah needs to grow 6 more centimeters.

Answer: So since 5 feet equals 60 inches and 1 inch is about 2.54 centimeters, there are centimeters in 5 feet. Therefore, Sarah needs to grow 6 more centimeters to reach 5 feet. I hoped this helps!! :D

Step-by-step explanation:

Answer:

Pls attach graph

Step-by-step explanation:

Answer:

b 0.25

Step-by-step explanation:

20 ÷ 5 = 4 so 1/4 of 20 or 0.25 is 5

Answer:

B 0.25

Step-by-step explanation:

20 ÷ 5 = 4

hope this helps, have a good day

if you feel like it please give me brainliest

Answer:

hdshdhdbs sorry

Step-by-step explanation:

The number of shares of Coca-Cola short sold and number of Intel shares bought are c. Short sold 250 of Coca cola and invested in 1200 shares of Intel.

Data and Calculations:

Cash available for investment = £20,000

Proceeds from short sale of Coca-Cola = £10,000

Total funds available for investment = £30,000

Initial price of Coca-Cola per share = £40

Number of Coca-Cola shares short sold = 250 (£10,000/£40)

Initial price of Intel stock per share = £25

Number of Intel shares acquired = 1,200 shares (£30,000/£25)

Thus, you short sold 250 shares of Coca-Cola stock and invested in 1,200 shares of Intel stock.

Learnn more: https://brainly.com/question/17587674

Answer:

2

Step-by-step explanation:

Answer:

The answer is 2. Hope this helps you out!

Step-by-step explanation:

Answer:

3/2 or 1.5 each hour

Step-by-step explanation:

3/4/1/2

=6/4

=3/2

=1.5

or

3/4*2=

1.5

Answer:

3 adult tickets and 4 child tickets

Step-by-step explanation:

a + k = 7

a = 7 - k

12a + 9k = 72

12a + 9k = 72

12(7 - k) + 9k = 72

84 - 3k = 72

84 - 3k = 72

3k = 12

k = 4

a = 3

The number of adult tickets purchased is 3 and the number of child tickets purchased is 4.

Given that, adult tickets cost $12 and child tickets cost $9.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

If they spent $72 total and purchased 7 tickets.

Let the number of adult tickets be x, then the number of children tickets will be 7-x.

Now, 12x+9(7-x)=72

⇒ 12x+63-9x=72

⇒ 3x=72-63

⇒ 3x=9

⇒ x=3

So, 7-x=4

Therefore, the number of adult tickets purchased is 3 and the number of child tickets purchased is 4.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

Answer:

C

Step-by-step explanation:

The answer would be C because dilation ( unless by 1 ) doesn't preserve congruence so every other answer that isn't dilation would be right and C would be the answer because the factor is 2 not 1.  

Answer:

A,C,E.

Step-by-step explanation:

slope=(-12-0)/(4-0)=-3

A.The slope is proportional.

C. Slope is negative.

E. The eq. of line is y=-3x

Answer:

A. (1.25, 3.4)

The solution of the given system of equations is (1.25, 3.4). Thus, option A is correct.

The solution of the system of equations is the value of x and y which satisfies the system of equations.

From the given graph, it can be observed that the scale of the x-axis and y-axis is 1.

The solution of the system of equations is the point on the graph where the lines intersect.

From the graph, it can be observed that the point of intersection of 2 lines is approximately (1.25,3.4).

Thus, the solution of the given system of equations is (1.25,3.4).

Learn more about solution of the system of equations here:

https://brainly.com/question/11988499

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Answer:

2 out of 5 is the probability of no pumpkins

Answer:

Quadrants 3 and 4

Step-by-step explanation:

Quadrants 3 &4 represent negative integers. If 0 on the x axis represents the average/mean number of people there, then 3& 4 show the decrease from the average number.

Answer:

6+38i

Step-by-step explanation:

Answer:

the answer is 36!

Step-by-step explanation:

first, use the order of operations.

Parentheses

Exponents

Multiplying

Dividing

Addition

Subtraction

First, inside of parentheses. 3*2=6

then the exponent, which is 6*6, which equals 36.

The answer is 36. Hope this helped! Also would you mind marking brainliest? you don't have to. :D

Answer:

36

Step-by-step explanation:

(3x2)^2

(3x2)=6

(6)^2=6x6

36

Answer:

D. |w| = 14.2; θ = 107.1°

Step-by-step explanation:

EDGE 2020

Step-by-step explanation:

can u help me In one question

The last one.

........

Answer:

1 question. will be 2.3

2 question. 2.6

3 question. 9.2

Here some answers sry i can't answer all

Answer:

Read the following:

Step-by-step explanation:

1. 2.3

2. 2.6

3. 9.2

4 .6.6

5. 1 and 5/8

6. 24

7. 8/5

hope this helps :)

Answer:

200

Step-by-step explanation:

since its 100x2 it will be 100+100 so 200

Answer:

200

Step-by-step explanation:

you take 100+100 = 200

You basically make 2 100's