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nevsk [136]
3 years ago
10

What is the value of A??

Mathematics
1 answer:
aniked [119]3 years ago
7 0

Answer:

the value is....

Step-by-step explanation:

a

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Any help with this greatly appreciated.
Anestetic [448]

Put the equation in standard linear form.

x'(t) + \dfrac{x(t)}{t + 5} = 5e^{5t}

Find the integrating factor.

\mu = \exp\left(\displaystyle \int \frac{dt}{t+5}\right) = e^{\ln|t+5|} = t+5

Multiply both sides by \mu.

(t+5) x'(t) + x(t) = 5(t+5)e^{5t}

Now the left side the derivative of a product,

\bigg((t+5) x(t)\bigg)' = 5(t+5)e^{5t}

Integrate both sides.

(t+5) x(t) = \displaystyle 5 \int (t+5) e^{5t} \, dt

On the right side, integrate by parts.

(t+5) x(t) = \dfrac15 (5t+24) e^{5t} + C

Solve for x(t).

\boxed{x(t) = \dfrac{5t+24}{5t+25} e^{5t} + \dfrac C{t+5}}

3 0
2 years ago
How many days will it take for a sum of $4,000 to earn $80 interest if it is deposited in a bank paying ordinary simple interest
Maksim231197 [3]

Answer:

It will take 146 days to earn an interest of $80.

Step-by-step explanation:

The simple interest formula is:

I=\frac{P\times r\times t}{100}

It is provided that:

I = $80

P = $4,000

r = 5% p.a.

Compute the time required as follows:

I=\frac{P\times r\times t}{100}

t=\frac{I\times 100}{P\times r}

  =\frac{80\times 100}{4000\times 5}\\\\=0.4\ \years\\\\=0.4\times 365\ days\\\\=146\ days

Thus, it will take 146 days to earn an interest of $80.

4 0
2 years ago
The larger of 2 numbers is 23 greater than the smaller. Their sum is 28 less than 3 times the smaller number. Find the numbers
navik [9.2K]

Answer: 62

Step-by-step explanation:

7 0
3 years ago
Really need help rn...........................
Ber [7]

Answer:

5,2

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Describe the pattern for the powers of 10. Write the values of 10*1and 10*0<br> in the table.
blagie [28]

Answer:

here

Step-by-step explanation:

I uh hope this helps...

3 0
2 years ago
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