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2 years ago

5

Alan borrowed $5,100 from his father to buy a car. He repaid him after 6 months with interest of 8%. Find the total amount he re

paid. Round to the nearest cent.

1 answer:

emmasim [6.3K]2 years ago

4 0

KAMMAAMNANANANANAMAMAMAMMAMAMAMAMAMAMMAAMMSMSMSMSMSMSMSMMWMSMSMSMSMSMSMSMS

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Correct answer get the BRAINLIEST ANSWER!

OLga [1]

Here is how I completed the problem:

I started by creating a ratio:

$\frac{x}{0.18} + \frac{360}{0.10} = \frac{x+360}{0.15}$

<em>Where 'x' is the desired amount of the 18% solution of sulfuric acid.

</em>From here, I solved for 'x':
<em>
</em> $\frac{0.10x}{0.018} + \frac{360(0.18)}{0.018} = \frac{x+360}{0.15}$
$\frac{0.10x}{0.018} + \frac{64.8}{0.018} = \frac{x+360}{0.15}$
$\frac{0.10x+64.8}{0.018} = \frac{x+360}{0.15}$
$0.15(0.10x+64.8) = 0.018(x+360)$
$0.015x+9.72 = 0.018x+6.48$
$0.003x = 3.24$
$x = 1080$

∴You will need to add 1080ml of 18% Sulfuric Acid in order to obtain a 15% solution.

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3 years ago

Evaluate the spherical coordinate integral

expeople1 [14]

Rewrite the equations of the given boundary lines:

<em>y</em> = -<em>x</em> + 1 ==> <em>x</em> + <em>y</em> = 1

<em>y</em> = -<em>x</em> + 4 ==> <em>x</em> + <em>y</em> = 4

<em>y</em> = 2<em>x</em> + 2 ==> -2<em>x</em> + <em>y</em> = 2

<em>y</em> = 2<em>x</em> + 5 ==> -2<em>x</em> + <em>y</em> = 5

This tells us the parallelogram in the <em>x</em>-<em>y</em> plane corresponds to the rectangle in the <em>u</em>-<em>v</em> plane with 1 ≤ <em>u</em> ≤ 4 and 2 ≤ <em>v</em> ≤ 5.

Compute the Jacobian determinant for this change of coordinates:

$J=\begin{bmatrix}\frac{\partial u}{\partial x}&\frac{\partial u}{\partial y}\\\frac{\partial v}{\partial x}&\frac{\partial v}{\partial y}\end{bmatrix}=\begin{bmatrix}1&1\\-2&1\end{bmatrix}\implies|\det J|=3$

Rewrite the integrand:

$-3x+4y=-3\cdot\dfrac{u-v}3+4\cdot\dfrac{2u+v}3=\dfrac{5u+7v}3$

The integral is then

$\displaystyle\iint_R(-3x+4y)\,\mathrm dx\,\mathrm dy=3\iint_{R'}\frac{5u+7v}3\,\mathrm du\,\mathrm dv=\int_2^5\int_1^45u+7v\,\mathrm du\,\mathrm dv=\boxed{333}$

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3 years ago

Describe the transformation that would Change f(x) in the following ways: 1. Vertical reflection across the x axis 2. Vertical s

ElenaW [278]

You have to add the same number to keep

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2 years ago

The circumference of a circle can be found using the<br> formula C = 2 nr.

victus00 [196]

Radius = circumference/2(3.14)
OPTION 3

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3 years ago

Read 2 more answers

Evaluate the expression when g=3 and h= 39.<br> h-69<br> L<br> B.<br> X6<br> ?

lawyer [7]

Answer:
39-18 is 21.
Explanation:

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2 years ago