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3 years ago

Help! I’ll mark brainly list but please explain!!

Mathematics

1 answer:

icang [17]3 years ago

4 0

Answer:

9.75, 2, and 56.25

Step-by-step explanation:

Since it's 4 movie tickets, 2 popcorns (which are $6.25),

4(9.75) + 2(6.25 -> Popcorn) + 4.75

= 39 + 12.5 + 4.75

= 39 + 17.25

= $56.25

As for the total cost,

4 * 9.75 = 39

2 * 6.25 = 12.5

1 * 4.75 = 4.75

<em>Feel free to mark this as brainliest! :D</em>

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If $5,000 is borrowed with an interest of 12.3% compounded semi-annually, what is the total amount of money needed to pay it bac

jarptica [38.1K]

Answer:

$7153.03

Step-by-step explanation:

To find the total amount after 3 years, we can use the formula for compound tax:

P = Po * (1+r/n)^(t*n)

where P is the final value, Po is the inicial value, r is the rate, t is the amount of time and n depends on how the tax is compounded (in this case, it is semi-annually, so n = 2)

For our problem, we have that Po = 5000, r = 12.3% = 0.123, t = 3 years and n = 2, then we can calculate P:

P = 5000 * (1 + 0.123/2)^(3*2)

P = 5000 * (1 + 0.0615)^6

P = $7153.029

Rounding to the nearest cent, we have P = $7153.03

3 0

3 years ago

Determine whether the geometric series is convergent or divergent. 9 + 8 + 64/9 + 512/81 + ..... If it is convergent, find its s

Westkost [7]

Answer:

Convergent; 81

Step-by-step explanation:

r = term2/term1 = 8/9

8/9 < 1 so convergent

Sum = 9/(1 - 8/9)

= 9/(1/9) = 81

3 0

3 years ago

You are knitting a blanket. You want the area of the blanket to be 24 feet squared . You want the length of the blanket to be 2

Sauron [17]

Think of it this way: x multiplied by a number that is two more than x is y.
So, look at the factors. 3 and 8 wouldn't work, because 8 is 5 longer than 3. 1 and 24 wouldn't work, because 24 is 23 more than 1. 12 and 2 is also not going to work; 12 is 10 more than 2. What you have left is 4 and 6. 6 is 2 more than 4, and they both multiply to get 24.

So, the correct answer is 6 feet long and 4 feet wide.

4 0

3 years ago

Read 2 more answers

The circular stream of water from a faucet is observed to taper from a diameter of 20 mm to 10 mm in a distance of 50 cm. Determ

steposvetlana [31]

Solution:

From Bernoulli equation

$\frac{1}{2}$ ρ $V_{1}^{2}$ + ρgh = $\frac{1}{2}$ ρ $V_{2}^{2}$ , where ρ is density of water, h – height difference and $V_{1}$ and $V_{2}$ are the velocities in upper and lower cross sections correspondingly. We take into account that the pressure in both cross-sections is the same and equal to the atmospheric one.

From the continuity and assuming water incompressible:

$\pi r_{1}^{2}$ $V_{1}$ = $\pi r_{2}^{2}$ $V_{2}$ , where $A_{1}$ and $A_{2}$ are the corresponding cross-sections. As the lower diameter is twice as low as the upper one, we can conclude that $V_{1} = \frac{V_{2}}{4}$

Inserting it back into Bernoulli equations produces:

$V_{1} = \sqrt{\frac{2}{15}gh} = 0.26m/s$ and the flow rate is

$\pi r_{1}^{2}V_{1} = \pi r_{2}^{2}V_{2} = 8.10^{-5} \frac{m^{3} }{s}$

6 0

3 years ago

For waht values of x do the vectors -1,0,-1), (2,1,2), (1,1, x) form a basis for R3?

DaniilM [7]

<h2>Answer:</h2>

The values of x for which the given vectors are basis for R³ is:

$x\neq 1$

<h2>Step-by-step explanation:</h2>

We know that for a set of vectors are linearly independent if the matrix formed by these set of vectors is non-singular i.e. the determinant of the matrix formed by these vectors is non-zero.

We are given three vectors as:

(-1,0,-1), (2,1,2), (1,1, x)

The matrix formed by these vectors is:

$\left[\begin{array}{ccc}-1&2&1\\0&1&1\\-1&2&x\end{array}\right]$

Now, the determinant of this matrix is:

$\begin{vmatrix}-1 &2 & 1\\ 0& 1 & 1\\ -1 & 2 & x\end{vmatrix}=-1(x-2)-2(1)+1\\\\\\\begin{vmatrix}-1 &2 & 1\\ 0& 1 & 1\\ -1 & 2 & x\end{vmatrix}=-x+2-2+1\\\\\\\begin{vmatrix}-1 &2 & 1\\ 0& 1 & 1\\ -1 & 2 & x\end{vmatrix}=-x+1$

Hence,

$-x+1\neq 0\\\\\\i.e.\\\\\\x\neq 1$

4 0

3 years ago