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2 years ago

How can I solve this.. Need asap.. Please and thankyou❤️❤️

Mathematics

1 answer:

Elena L [17]2 years ago

8 0

Divide 1500 by 5 to get one fifth of the savings. Multiply that by 12 to get yearly savings. You end up with 3600.

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Find a solution x = x(t) of the equation x′ + 2x = t2 + 4t + 7 in the form of a quadratic function of t, that is, of the form x(

Temka [501]

The particular quadratic solution to the ODE is found as follows:

$x=at^2+bt+c$
$x'=2at+b$

$(2at+b)+2(at^2+bt+c)=t^2+4t+7$
$2at^2+(2a+2b)t+(b+2c)=t^2+4t+7$

$\begin{cases}2a=1\\2(a+b)=4\\b+2c=7\end{cases}\implies a=\dfrac12,b=\dfrac32,c=\dfrac{11}4$

Note that there's also the fundamental solution to account for, which is obtained from the characteristic equation for the ODE:

$x'+2x=0\implies r+2=0\implies r=-2$

so that $x_c=Ce^{-2t}$ is a characteristic solution to the ODE, and the general solution would be

$x=Ce^{-2t}+\dfrac{t^2}2+\dfrac{3t}2+\dfrac{11}4$

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3 years ago

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Jobisdone [24]

Answer: D: the point (0,0) contains the x-intercept

Step-by-step explanation:

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2 years ago

Which sentence correctly compares the number of books Mary and Paul have?

xxMikexx [17]

Well I think it is F bc it is asking to compare the two numbers of the books that Mary and Paul have not adding

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2 years ago

Find the solution of 2 / 3 x 3.14 x 216 without a calculator

jolli1 [7]

Answer:

452.16

Step-by-step explanation:

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2 years ago

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The value of a collector's item is expected to increase exponentially each year. The item is purchased for $500 and its value in

slava [35]

Answer:

$607.75

Step-by-step explanation:

As a first approximation, compound interest will be slightly higher than simple interest for a relatively short time period. Here simple interest at 5% for 4 years will add 4×5% = 20% to the value, adding about $100 to the initial $500 value. That is, we expect the value in 4 years to be slightly more than $600.

The appropriate answer choice is $607.75.

_____

The actual amount can be calculated using the multiplier 1.05 for each of the 4 years, or 1.05^4 ≈ 1.21550625 for the entire period. Then the predicted item value is ...

$500 × 1.21550625 = $607.753125 ≈ $607.75

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2 years ago

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