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sesenic [268]
2 years ago
9

Mitchell received a stipend at the beginning of the semester to buy textbooks. During the semester, he spent $430.84 on textbook

s. He had $136.04 of the stipend left at the end of the semester.
x - $430.84 = $136.04

How much was Mitchell's stipend?
A.
$566.88
B.
$702.92
C.
$362.82
D.
$294.80
Mathematics
1 answer:
tatyana61 [14]2 years ago
7 0

Answer:

$566.88

Step-by-step explanation:

$430.84 + $136.04 = $566.88

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A man shares a $1,200,00 inheritance between his 3 sons in ratio 1: 3: 6. Calculate the difference between the largest share and
soldi70 [24.7K]

A man's inheritance money = $1200

Given :

He shared his inheritance between his 3 sons in the ratio 1:3:6

Then, the money the first son got :

= \tt \frac{1}{10}  \: of  \: 1200

=\tt  \frac{1}{10}  \times 1200

=\tt  \frac{1 \times 120}{10}

= \tt \frac{1200}{10}

\color{plum} =\tt\$ \: 120

▪︎Thus, the first son inherited $120.

Money the second son got :

= \tt \frac{3}{10}  \: of  \: 1200

= \tt \frac{3}{10}  \times 1200

=\tt  \frac{3 \times 1200}{10}

= \tt \frac{3600}{10}

\color{plum} =\tt \$360

▪︎Thus, the second son inherited $360.

Money the third son got :

=\tt  \frac{6}{10}  \: of  \: 1200

=\tt  \frac{6}{10}  \times 1200

= \tt \frac{6 \times 1200}{10}

= \tt \frac{7200}{10}

\color{plum} = \tt\$720

▪︎Thus, the third son inherited $720.

We know that :

The largest share = $720

The smallest share = $120

Difference between the largest and smallest share :

= \tt720 - 120

\color{hotpink}\tt = 600

<h3> ●=> Therefore :</h3>

▪︎<em>The difference between the largest and smallest share = 600</em>

7 0
3 years ago
Is 64 a perfect cube?
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It's a perfect square because 8 times 8 equals 64.

6 0
3 years ago
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D^2(y)/(dx^2)-16*k*y=9.6e^(4x) + 30e^x
MA_775_DIABLO [31]
The solution depends on the value of k. To make things simple, assume k>0. The homogeneous part of the equation is

\dfrac{\mathrm d^2y}{\mathrm dx^2}-16ky=0

and has characteristic equation

r^2-16k=0\implies r=\pm4\sqrt k

which admits the characteristic solution y_c=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}.

For the solution to the nonhomogeneous equation, a reasonable guess for the particular solution might be y_p=ae^{4x}+be^x. Then

\dfrac{\mathrm d^2y_p}{\mathrm dx^2}=16ae^{4x}+be^x

So you have

16ae^{4x}+be^x-16k(ae^{4x}+be^x)=9.6e^{4x}+30e^x
(16a-16ka)e^{4x}+(b-16kb)e^x=9.6e^{4x}+30e^x

This means

16a(1-k)=9.6\implies a=\dfrac3{5(1-k)}
b(1-16k)=30\implies b=\dfrac{30}{1-16k}

and so the general solution would be

y=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}+\dfrac3{5(1-k)}e^{4x}+\dfrac{30}{1-16k}e^x
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2 years ago
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sladkih [1.3K]
You mean the word or number
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3 years ago
Find angles b,c and d
Mazyrski [523]

Answer:

B = 73°, c = 107°, d= 107°

Step-by-step explanation:

b + 107 \degree = 180 \degree..(straight \: line \:  \angle s) \\ b = 180 \degree - 107 \degree \\  \huge \red{ \boxed{b = 73 \degree}} \\  \\ \huge \purple{ \boxed{c = 107 \degree }}\\..(vertical \:  \angle s) \\  \\ \huge \orange{ \boxed{d = 107 \degree }}\\..(corresponding \:  \angle s) \\  \\

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