a library has 8,000 books and is adding 500 more each year. does the word problem represent a linear or exponential equation??

Step-by-step explanation:

Suppose the persons are a, b, c, d, e, f and g.

Let us also assume that a and b always sit together.

Let us then put the remaining 5 persons in a circular arrangement. It can be done in (5–1)! = 4! = 24 ways. Now, the pair (a,b) can be placed between any two persons already placed in circular order. There are 5 such gaps. Finally the pair (a,b) can be placed in two ways viz. (a,b) and (b,a).

So, total number of ways a group of 7 persons can be seated around a circular table where 2 specified persons always sit together is 24 X 2 X 5 = 240

Answer:

5.08 years

Step-by-step explanation:

We are to solve for time using compound interest formulas

For Hailey

Principal = $200

Amount = Double of Principal = $4000

Rate = 2 3/8% = 2.375.

Time = ?

Hence,

First, convert R as a percent to r as a decimal

r = R/100

r = 2.375/100

r = 0.02375 per year,

Then, solve the equation for t

t = ln(A/P) / r

t = ln(4,000.00/2,000.00) / 0.02375

t = 29.185 years

≈ 29.19 years

For Sophie

Principal = $200

Amount = Double of Principal = $4000

Rate = 2 7/8% = 2.875

Time = ?

First, convert R as a percent to r as a decimal

r = R/100

r = 2.875/100

r = 0.02875 per year,

Then, solve the equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(4,000.00/2,000.00) / ( 365 × [ln(1 + 0.02875/365)] )

t = ln(4,000.00/2,000.00) / ( 365 × [ln(1 + 7.8767E-5)] )

t = 24.11 years

How much longer would it take for Hailey's money to double than for Sophie's money to double?

For Hailey it takes 29.19 years

For Sophie it takes 24.11 years

We find the difference

= 29.19 - 24.11

= 5.08 years

Therefore, it would take 5.08 years for Hailey's money to double than Sophie

Answer:

5.07 a little late but oh well

Step-by-step explanation:

Answer:

-19

Step-by-step explanation:

1) substitute a with 2 and b with 5

(3 + 2)^2 * (4-5) + √36

2) solve the brackets and the square root

(5^2) * (-1) + 6

3) solve the power

25 *(-1) + 6

4) solve the multiplication

-25 + 6

5) solve the sum

- 19

Answer:

-19

Step-by-step explanation:

i got the answer right

Answer:

10 + 5x

Step-by-step explanation:

Answer:

The answer is 10 + 5x.

Step-by-step explanation:

Expand by distributing term.

[tex]5 \times 2 + 5x[/tex]

Simplify 5 × 2 to 10.

[tex]10 + 5x[/tex]

Therefor, the answer is 10 + 5x.

Answer:

The probability of Alex and Jane getting picked is 0.0112 or 1.12

Step-by-step explanation:

Ok, so the probability that Alex is picked is 0.08, then in order for jane to be picked it is another 0.14.

That means that we must figure out what 14% of 0.08 is 0.0112

0.0112 = 1.12%

good luck mate!

-cheesetoasty

Answer:

radius is 6

diameter is 12

Step-by-step explanation:

to find radius you divide the diameter by 2

Answer:

d

Step-by-step explanation:

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Principal (P)= $2,500

Interest rate= 4%

Number of periods= 2 years

First, we will determine the interest earned using the simple interest formula:

I= P*r*t

I= 2,500*0.04*2

I=$200

Now, using the compound interest formula:

I= [P*(1 + r)^t] - P

r= 0.04/2= 0.02 (semi annual interest rate)

t=2*2= 4 semesters

I= [2,500*(1.02^4)] - 2,500

I= $206.08

Answer:

$206.08

Step-by-step explanation:

Answer:

2x

Step-by-step explanation:

Given the expression  10x^3 + 16x^2 - 18x, we are to find the GCF

First find the factors

10x^3 = 2 * 5 * x * x^2

16x^2 = 2 * 8 * x * x

18x = 2 * 9 * x

From the factors shown, you will see that 2 and x are the common factors. Hence the GCF of the expression is 2x

Answer:

Q = (9, 4 )

Step-by-step explanation:

Use the midpoint formula and equate to the coordinates of the midpoint.

M = ([tex]\frac{x_{1}+x_{2} }{2}[/tex] ) , ([tex]\frac{y_{1}+y_{2} }{2}[/tex] )

let the coordinates of Q = (x, y ) , R = (- 7, 0 ) , then

[tex]\frac{x-7}{2}[/tex] = 1 ( multiply both sides by 2 )

x - 7 = 2 ( add 7 to both sides )

x = 9

and

[tex]\frac{y+0}{2}[/tex] = 2 ( multiply both sides by 2 )

y = 4

Thus Q = (9, 4 )

Answer:

the area is 48

Step-by-step explanation:

Answer: 1 is consecutive interior, 2 is corresponding, 3 is alt interior, and 4 is alt exterior

Step-by-step explanation: above

Answer:

this so hard

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

can i get brainlist because brainly deleted all my answers for no reason

Answer:

area of a square= length ²

area of a rectangle=length*breadth

area of parallelogram=base *height

Answer:

f(x) = a(1 + r)x f(x) = 100000(1+0.04)^10 = 148,024 I believe

Step-by-step explanation:

Answer:

The mean is 3. The sum of the number is 18.

Step-by-step explanation:

1+1+1+4+4+7 = 18

18 divided by 6= 3

Answer:

D'wayne plans to wallpaper 43.5 square feet of the wall.

Step-by-step explanation:

72.5% = 72.5/100 = 0.725

mulitiply that by 60

= 43.5 square feet

Answer:

I only found two point: (0,-3) (1,-2)

Step-by-step explanation:

Answer:

x= 1

Step-by-step explanation:

sinceΔABC =ΔDEF

Therefore

4x-1 will be equal to x+2

then x = 1

Answer:

65

Step-by-step explanation:

115-180=65 degrees

Answer:

68+47+x= 180

x=180-115

x=65

Answer:

14

Step-by-step explanation:

4 2/3

Multiply the 4 and 3 together to get 12

Then you add the 12 to the 2 to get 14

Therefore, it'll take 14  1/3 cups.

Answer:

21 hours

Step-by-step explanation:

After 2 hours the temperature has risen to 7°f

The time taken to rise to an additional 13°f can be calculated as follows

1 hour takes 3.5°f

13°f = 3.5×6

= 21 hours

Hence it would take 21 hours

Answer:

48+25.12=73.12

Step-by-step explanation:

6 baked a cake forty eight

8*4/2=16

Answer: 73.12in

Step-by-step explanation:

Answer:

B. Right angles

Step-by-step explanation:

When perpendicular lines intersect, they create 90° angles (aka right angles)

Answer:

18.6 cm²

Step-by-step explanation:

99/7 + 9/2

= 18.6 cm²

Answer:

13

Step-by-step explanation:

The mode is just the number that appears the most often in a set of data. The table states that 13 appears 5 times in the data, therefore 13 is the mode.

Answer:

Answer: g(x)=. Step-by-step explanation: We are given that: f(x)=x². We have to find g(x). Since, we are given that g(3)=1. Hence, we will ...  ·  g of x would equal (1/3x)^2 because if x was 6 y, g(x), would be 4

Step-by-step explanation: