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2 years ago

121,580 rounded to the nearest fhousand

Mathematics

1 answer:

lilavasa [31]2 years ago

8 0

The answer is 122,000

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Find the general solution of (x+3)y’=2y

gregori [183]

Answer:

$y=C(x+3)^2$

Step-by-step explanation:

We are given:

$\displaystyle (x+3)y^\prime=2y$

Separation of Variables:

$\displaystyle \frac{1}{y}\frac{dy}{dx}=\frac{2}{x+3}$

So:

$\displaystyle \frac{dy}{y}=\frac{2}{x+3} \, dx$

Integrate:

$\displaystyle \int\frac{dy}{y}=\int\frac{2}{x+3}\, dx$

Integrate:

$\displaystyle \ln|y|=2\ln|x+3|+C$

Raise both sides to e:

$|y|=e^{2\ln|x+3|+C}$

Simplify:

$|y|=(e^{\ln|x+3|})^2\cdot e^C$

So:

$|y|=C|x+3|^2$

Simplify:

$y=\pm C(x+3)^2=C(x+3)^2$

5 0

2 years ago

Translate the expression: “the difference between twice a number and 23”

kherson [118]

Answer:

23- 2x

Step-by-step explanation:

Twice a number is 2 and "x" represents "a number"

Key words: Twice, Difference (subtraction)

7 0

2 years ago

Can you help me out please

Reptile [31]

Answer:

i belive it is the 3rd on

Step-by-step explanation:

sorry if wrong

7 0

2 years ago

Present Value Hoew much shuold be deposited in an account paying 7.8% interest compounded monthly in order to have a balance of

Alisiya [41]

Answer: $15385 should be deposited.

Step-by-step explanation:

The principal was compounded monthly. This means that it was compounded 12 times in a year. So

n = 12

The rate at which the principal was compounded is 7.8%. So

r = 7.8/100 = 0.078

It was compounded for 4 years. Therefore,

t = 4

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years. The total amount is given as $21000. Therefore

21000 = P (1+0.078/12)^12×4

21000 = P (1+0.078/12)^48

21000 = P (1+0.0065)^48

21000 = P (1.0065)^48

P = 21000/1.365

P = $15385

6 0

2 years ago

10 pounds of soil are needed to

Wewaii [24]

Answer:

40/3

Step-by-step explanation:

w = weight of soil needed

f = number of flower beds

a = constant value

w = a * f

substitute

10 = 6a

simplify

5/3 = a

w = (5/3)f

plug in 8

w = (5/3)(8)

simplify

w = 40/3

3 0

2 years ago