3 years ago

Find the simple interest paid to the nearest cent for each principal, interest rate, and time. $2,620, 3%, and 5 years.

Mathematics

1 answer:

VMariaS [17]3 years ago

8 0

Answer:

Step-by-step explanation:ok

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Use the given transformation to evaluate the integral. 9 x − 3y 2x − y dA, R where R is the parallelogram enclosed by the lines

hichkok12 [17]

$\displaystyle\iint_R(9x-3y)(2x-y)\,\mathrm dA$

$\begin{cases}u=x-3y\\v=2x-y\end{cases}\implies\begin{cases}x=\frac{3v-u}5\\y=\frac{v-2u}5\end{cases}\implies\mathrm dA=|\det J|\,\mathrm du\,\mathrm dv$

where $J$ is the Jacobian matrix for the transformation,

$J=\begin{bmatrix}u_x&u_y\\v_x&v_y\end{bmatrix}=\begin{bmatrix}-\dfrac15&\dfrac35\\\\-\dfrac25&\dfrac15\end{bmatrix}\implies|\det J|=\dfrac15$

We have

$9x-3y=8x+x-3y=\dfrac85(3v-u)+u=\dfrac{24v-3u}5$

so that the integral is

$\displaystyle\frac1{25}\int_9^{10}\int_0^{10}(24v-3u)v\,\mathrm du\,\mathrm dv=\boxed{\frac{4051}5}$

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4 years ago

write an equation of a line with the given slope and y-intercept. m = 1, b = 4 a. y = –1x 4 b. y = x – 4 c. y = 4x 1 d. y = x 4

mars1129 [50]

Well with a slope of 1 it rules out a. and c. and with a y-intercept of +4 it rules out b. so the answer is d. y = x + 4

3 0

3 years ago

20000000000000x 3065

Verizon [17]

Answer:

61300000000000000

Step-by-step explanation:

7 0

3 years ago

Given the equation Y -4 equals three force X +8 in point slope form, identify the equation of the same line in standard form

Genrish500 [490]

Answer:

3x - y = -28

Step-by-step explanation:

Given the equation y-4 = 3(x+8), distribute and simplify to get the Standard Form.

y-4 = 3(x+8)

y - 4 = 3x + 24

y = 3x + 28

-3x + y = 28

Standard form does not allow the coefficient of x to be negative so multiply the equation by -1.

3x - y = -28

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3 years ago

David buys a house for $300,000. Each year, when the house is assessed, it increases in value by 5%. Is it a continuous or discr

ryzh [129]

Continuous I think have a good day

6 0

3 years ago

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