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3 years ago

Solve the following equation. Then place the correct number in the box provided.

Mathematics

1 answer:

Shtirlitz [24]3 years ago

5 0

X=5.
let me know if you need me to show how to do it

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Parker is going to attend a four-year university that has an annual tuition of $16,110. He has $45,800 in savings and has a gran

Svetlanka [38]

Answer:

$13,640

Step-by-step explanation:

money that need to pay for the tuition for all four years

=$16,110×4

=$64,440

the money he had

=$45,800+$5,000

=$50,800

the difference

=$64,440-$50,800

=$13,640

3 0

3 years ago

Please help me with the below question.

VMariaS [17]

By letting

$y = \displaystyle \sum_{n=0}^\infty c_n x^{n+r}$

we get derivatives

$y' = \displaystyle \sum_{n=0}^\infty (n+r) c_n x^{n+r-1}$

$y'' = \displaystyle \sum_{n=0}^\infty (n+r) (n+r-1) c_n x^{n+r-2}$

a) Substitute these into the differential equation. After a lot of simplification, the equation reduces to

$5r(r-1) c_0 x^{r-1} + \displaystyle \sum_{n=1}^\infty \bigg( (n+r+1) c_n + (n + r + 1) (5n + 5r + 1) c_{n+1} \bigg) x^{n+r} = 0$

Examine the lowest degree term $\left(x^{r-1}\right)$ , which gives rise to the indicial equation,

$5r (r - 1) + r = 0 \implies 5r^2 - 4r = r (5r - 4) = 0$

with roots at r = 0 and r = 4/5.

b) The recurrence for the coefficients $c_k$ is

$(k+r+1) c_k + (k + r + 1) (5k + 5r + 1) c_{k+1} = 0 \implies c_{k+1} = -\dfrac{c_k}{5k+5r+1}$

so that with r = 4/5, the coefficients are governed by

$c_{k+1} = -\dfrac{c_k}{5k+5} \implies \boxed{g(k) = -\dfrac1{5k+5}}$

c) Starting with $c_0=1$ , we find

$c_1 = -\dfrac{c_0}5 = -\dfrac15$

$c_2 = -\dfrac{c_1}{10} = \dfrac1{50}$

so that the first three terms of the solution are

$\displaystyle \sum_{n=0}^2 c_n x^{n + 4/5} = \boxed{x^{4/5} - \dfrac15 x^{9/5} + \frac1{50} x^{13/5}}$

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2 years ago

What is the number 153 split in half

Bumek [7]

The Answer is 76.5, because 153/2 is 76.5

7 0

3 years ago

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The price of a stove is s dollars. Pedro makes a 10% down payment for a two-year installment purchase. The monthly payment is m

Sever21 [200]

Answer:

0.2

Step-by-step explanation:

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3 years ago

at a sport banquett 8 guests are seated at each of the 15 tables how many guests (x) are seated at the table

Novosadov [1.4K]

Answer:

120

Step-by-step explanation:

15x8=120 so that the answer

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3 years ago

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