After 4 days, a bookstore has 140 copies of a new title still on hand. After 9 days, the bookstore has 50 copies still on hand. Model this situation by writing an equation of the form c(t)=mt+b where c is the number of copies still on hand after t days of being available

Answer:

i think it's 13.44

Step-by-step explanation:

im not really sure, but let me know if im wright pls!!

hope this helped!!

Given:

The combination C(14,10).

To find:

The value of the given combination.

Solution:

We know that,

[tex]C(n,r)=\dfrac{n!}{r!(n-r)!}[/tex]

Using this formula, we get

[tex]C(14,10)=\dfrac{14!}{10!(14-10)!}[/tex]

[tex]C(14,10)=\dfrac{14\times 13\times 12\times 11\times 10!}{10!(4)!}[/tex]

[tex]C(14,10)=\dfrac{14\times 13\times 12\times 11}{4\times 3\times 2\times 1}[/tex]

[tex]C(14,10)=7\times 13\times 11[/tex]

[tex]C(14,10)=1001[/tex]

Therefore, the value of C(14,10) is 1001 and the correct option is B.

The equivalent expression of "[tex]C(14,10)[/tex]" is "1001".

using formula:

[tex]\to ^n C_r=\frac{n!}{r!(n-r)!}[/tex]

putting the given value into the above formula:

[tex]\to ^{14} C_{10}=\frac{14!}{10!(14-10)!}[/tex]

              [tex]=\frac{14 \times 13 \times 12 \times 11 \times 10! }{10! \times 4 \times 3 \times 2 \times 1}\\\\=\frac{14 \times 13 \times 12 \times 11 }{ 4 \times 3 \times 2 \times 1}\\\\={7 \times 13 \times 11 }{}\\\\=1001[/tex]

Therefore, the final answer is "1001".

Find out more information on the equivalent here:

brainly.com/question/17733453

Answer:

3b = 3 x 5

3 x 5 + 10 = 15 + 10 = 25

Answer:

Dilation and translation.

Hope that helps!

Step-by-step explanation:

Answer:

$1,038

Step-by-step explanation:

the equation for annual compound interest is y=p(1±r)^t, where p is the principal (starting amount), r is the rate (as a decimal), and t is the number of years (time).

2.5% as a decimal is 0.025

We will add that to 1, because when we earn interest, we are gaining money.

So we will substitute our given numbers into the equation:

y=6500(1.025)^6

solve:

y=$7,5638 (rounded)

That's the total amount he earned (principal + interest). To find out how much interest he earned over those 6 years, subtract our new amount from our starting amount

75638-6500

$1,038

So he made $1,038 in interest

Answer:

0.0083628

Step-by-step explanation:

Here is the answer

Answer:

Step-by-step explanation:

Answer:

64 mm and 16 cm

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

the hypotenuse is double the length of the shortest leg

Answer:

104.92

Step-by-step explanation:

Answer:

15x^3+28x^2-55x-12

Step-by-step explanation:

Dimensions of the box are (x+3), (3x-4), and (5x+1). Let these be length, width and height of the box.

assuming the box is cuboidal

Therefore, volume of the box  = Length× width× height

⇒volume of the box = (x+3)×(3x-4)×(5x+1)

now, (x+3)×(3x-4) = (3x^2+5x-12)

Now, volume of the box = (3x^2+5x-12)×(5x+1)

= 15x^3+28x^2-55x-12

Answer:

i dont know sorry

Step-by-step explanation:

Answer:

784 or 814

Step-by-step explanation:

these two numbers can be the closest written to the value of 800

Answer:

7.875

Step-by-step explanation:

1 1/8 times 7= 7.875

Answer:

Step-by-step explanation:

PLEASE HELP ME!! ASAP

Given f(x) = x^2 – 10x + k, and the remainder

when f (x) is divided by x + 2 is 32, then what is

the value of k?

Answer:

To sum up, we solved for W. Finally, the sale price of a sweatshirt was 20$.

Step-by-step explanation:

So we have our main equation of W/G=p. The G stands for the total amount which is 30. The W is the unknown in this case. As for the p equals 2/3.

Thus we substitute G and p into the equation W/30=2/3. We multiply both sides of the equation with 30 W=2*30/3. Which gives us 60/3=20.

Answer:

a)3√5

b)11√7

is answer.

Answer:

67.50

Step-by-step explanation:

Answer:

The hundredth is always the second number after the decimal point (to the right).

So, when rounding to that number look at the number on the right of it, which in this case is 9.

Then, if the number is 5 to 9, round up, but if it is 0 to 4, round down.

In this case, the number above 0.49 is 0.5.

Hope this helps! I would really appreciate it if you would mark me brainliest! Have a blessed day!

Answer:

KL = 6.75cm

JL = 9.3cm

Step-by-step explanation:

SInce Angle DEF is similar to angle JKL.

Then;

DE/EF = JK/KL

Given

DE = 4cm

JK = 3cm

EF = 9cm

Substitute

4/9 = 3/KL

4KL = 27

KL = 27/4

KL = 6.75cm

Similarly

DF/EF = JL/KL

12.4cm/9 = JL/6.75

9JL = 12.4 * 6.75

9JL = 83.7

JL = 83.7/9

JL = 9.3cm

Answer:

is 5 i hope it helps

Step-by-step explanation:

okay remember that this < stand for less numbers

Answer:

80, 75

Step-by-step explanation:

[tex]\sqrt{x}[/tex] < 9

x < 9²

x < 81

Thus, 8 is lesser than 81. 80 and 75 are the only numbers lesser than 81 so they are the answer.

Answer:

its either a or b not entirely sure on which

Step-by-step explanation:

the area of the rectangle is 180 (15x12) so it cant be 180 and the semicircle is smaller then the rectangle so it cant be more than 360 hope this helps

Answer:

236.5

Step-by-step explanation:

Sorry if it looks messy, I messed up in the middle!

Answer:

this is the answer bb

Step-by-step explanation:

Answer:

a. 4×2 = 8

b. E = 120

c. F = 400

Answer:

Part A

The height to which the projectile reaches is given by the following formula;

[tex]\Delta y = y-y_0 = v_{0y} \times t-\dfrac{1}{2} \times g \times t^2[/tex]

Where;

[tex]v_{0y}[/tex] = The initial velocity of the projectile = Stays the same

y = The height the projectile reaches

y₀ = The height from which the projectile is launched

g = The acceleration due to gravity

t = The time taken

Given that the projectile has the same initial velocity, the variation of Δy with time, 't', will be the same when the project is launched from a different height, and the time change that it takes for the projectile to reach the maximum height will be the same for the previous launch height

Part B

From the change in eight of the projectile, Δy = y - y₀, the maximum height reached, 'y', is therefore given as follows;

y = Δy + y₀

The maximum height will increase by 'y₀', where 'y₀' is the difference between new height and the previous height, [tex]y_i[/tex]

That is, if y₀ > [tex]y_i[/tex], the maximum height reached increases and if y₀ < [tex]y_i[/tex], y₀ will be added as y = Δy - y₀ and the maximum height reached decreases

Step-by-step explanation: