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2 years ago

Please help me guys, thanks

Mathematics

1 answer:

mr_godi [17]2 years ago

6 0

Answer:

R = 0.06

Step-by-step explanation:

Hello

If, I = PRT

then,

900 = (7500)*R*2

R = 900/15000

R = 0.06

Best regards

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Help with 30 please. thanks.

Svet_ta [14]

Answer:

See Below.

Step-by-step explanation:

We have the equation:

$\displaystyle y = \left(3e^{2x}-4x+1\right)^{{}^1\! / \! {}_2}$

And we want to show that:

$\displaystyle y \frac{d^2y }{dx^2} + \left(\frac{dy}{dx}\right) ^2 = 6e^{2x}$

Instead of differentiating directly, we can first square both sides:

$\displaystyle y^2 = 3e^{2x} -4x + 1$

We can find the first derivative through implicit differentiation:

$\displaystyle 2y \frac{dy}{dx} = 6e^{2x} -4$

Hence:

$\displaystyle \frac{dy}{dx} = \frac{3e^{2x} -2}{y}$

And we can find the second derivative by using the quotient rule:

$\displaystyle \begin{aligned}\frac{d^2y}{dx^2} & = \frac{(3e^{2x}-2)'(y)-(3e^{2x}-2)(y)'}{(y)^2}\\ \\ &= \frac{6ye^{2x}-\left(3e^{2x}-2\right)\left(\dfrac{dy}{dx}\right)}{y^2} \\ \\ &=\frac{6ye^{2x} -\left(3e^{2x} -2\right)\left(\dfrac{3e^{2x}-2}{y}\right)}{y^2}\\ \\ &=\frac{6y^2e^{2x}-\left(3e^{2x}-2\right)^2}{y^3}\end{aligned}$

Substitute:

$\displaystyle y\left(\frac{6y^2e^{2x}-\left(3e^{2x}-2\right)^2}{y^3}\right) + \left(\frac{3e^{2x}-2}{y}\right)^2 =6e^{2x}$

Simplify:

$\displaystyle \frac{6y^2e^{2x}- \left(3e^{2x} -2\right)^2}{y^2} + \frac{\left(3e^{2x}-2\right)^2}{y^2}= 6e^{2x}$

Combine fractions:

$\displaystyle \frac{\left(6y^2e^{2x}-\left(3e^{2x} - 2\right)^2\right) +\left(\left(3e^{2x}-2\right)^2\right)}{y^2} = 6e^{2x}$

Simplify:

$\displaystyle \frac{6y^2e^{2x}}{y^2} = 6e^{2x}$

Simplify:

$6e^{2x} \stackrel{\checkmark}{=} 6e^{2x}$

Q.E.D.

6 0

2 years ago

Perform the indicated operation. 113 글용 0 8/9 0 1-1/8 0 1/8

Mekhanik [1.2K]

Answer:

hola

Step-by-step explanation:

3 0

3 years ago

Caitlyn has a credit card with a spending limit of $1500 and an APR (annual percentage rate) of 18%. During the first month, Cai

anzhelika [568]

APR=18%
Monthly interest = 18/12=1.5%
If Caitlyn paid before due date,
amount liable for interest charges = 375-250 = $125
Interest charge for the month
=$125*1.5%
=$1.88

If a single expression is required, then
interest = (375-250)*0.018/12 = $1.88 to the nearest cent.

5 0

3 years ago

Read 2 more answers

jekas [21]

Answer:

b= -8

Step-by-step explanation:

we have: 3y +12 = 6x <=> y + 4 = 2x <=> y= 2x - 4

=> 2y=4x + b

<=> 2(2x-4) = 4x +b

<=> 4x - 8= 4x +b

<=> b = -8

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2 years ago

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Katie wants to buy 27 candles. If there are 9 candles in each box, how many boxes of candles should Katie buy? * (need the answe

cricket20 [7]

Answer:

3 boxes

Step-by-step explanation:

because 3 times 9 is 27.

3 0

3 years ago

Read 2 more answers