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2 years ago

10229,00 increased by 13,5%

Mathematics

1 answer:

Softa [21]2 years ago

6 0

Answer:

138,091.5

Step-by-step explanation:

1,022,900 * 0.135 = 138,091.5

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If you know two figures are congruent, then what would be true about all of the corresponding parts of the two figures?

Tanya [424]

Answer:

if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

Step-by-step explanation:

3 0

3 years ago

Consider xưy" – 14xy' + 56y = 0. Find all values of r such that y=x" satisfies the differential equation for x > 0. Enter as

beks73 [17]

I bet the ODE is supposed to read

$x^2y''-14xy'+56y=0$

Then if $y=x^r$ , we have $y'=rx^{r-1}$ and $y''=r(r-1)x^{r-2}$ , and substituting these into the ODE gives

$r(r-1)x^r-14rx^r+56x^r=0\implies r(r-1)-14r+56=r^2-15r+56=0$

Solving for <em>r</em>, we find

$r^2-15r+56=(r-8)(r-7)=0\implies \boxed{r=8\text{ or }r=7}$

so that $y_1=x^8$ and $y_2=x^7$ are two fundamental solutions to the ODE. Thus the general solution is

$\boxed{y(x)=C_1x^8+C_2x^7}$

Given that $y(1)=4$ and $y'(1)=3$ , we get

$\begin{cases}4=C_1+C_2\\3=8C_1+7C_2\end{cases}\implies C_1=-25\text{ and }C_2=29$

So the particular solution is

$\boxed{y(x)=29x^7-25x^8}$

4 0

4 years ago

Which property is illustrated by this problem?

Mnenie [13.5K]

This would be communicative property cause when solve the left side then the right they both come up to being 30=30.

8 0

3 years ago

Subtract 8 from 5 times a number. The result is 4 less than 3 times the number.

vovikov84 [41]

Answer: x =2

Step-by-step explanation:

5x - 8 = 3x - 4

2x = 4

x = 2

checking the work:

5(2) - 8 = 3(2) - 4

10 - 8 = 6 - 4

2 = 2

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3 years ago

What you find the area of the following parallelogram, what units should you use?

Dahasolnce [82]

I believe the answer D

5 0

3 years ago