The total simple interest owed on a loan of $8,000 after 60 months is $1,280.

Mathematics

1 answer:

marishachu [46]2 years ago

8 0

Answer:

Step-by-step explanation:

1280/60=21.3333333333333

The question is probably not possible because 1280/60 is 21.33333333 a repeating decimal. if u think it is please comment and tell me

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kari74 [83]

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7 0

2 years ago

Find the volume of this solid

Vlada [557]

Answer:

2,111.15 cm³

Step-by-step explanation:

The solid is made up of 2 cones.

Volume of the solid = volume of cone of the two cones

✔️Volume of cone 1 = ⅓πr²h

r = ½ of 24 = 12 cm

h = √(13² - 12²) = 5 cm

Volume of cone 1 = ⅓×π×12²×5 = 753.98 cm³

✔️Volume of cone 2 = ⅓πr²h

r = ½ of 24 = 12 cm

h = √(15² - 12²) = 9 cm

Volume of cone 1 = ⅓×π×12²×9 = 1,357.17 cm³

✔️Volume of the solid = 753.98 + 1,357.17 = 2,111.15 cm³

4 0

2 years ago

Only the a) part please!!!!

choli [55]

$(i)\\\\2A = \begin{pmatrix}3x \times 2 & 1 \times 2 & 5 \times 2\\0\times 2 & 2x \times 2 & -3 \times 2\end{pmatrix} = \begin{pmatrix}6x & 2 & 10\\0 & 4x & -6\end{pmatrix}\\\\\\(ii)\\\\2A + B = C\\\\\implies \begin{pmatrix}6x & 2 & 10\\0 & 4x & -6\end{pmatrix} + \begin{pmatrix}y & 0 & -4\\1 & -3y & 2\end{pmatrix} = \begin{pmatrix}31& 2 & 6\\1 & 17& -4\end{pmatrix}$

$\implies \begin{pmatrix}6x+y & 2+0 & 10-4\\0+1 & 4x-3y & -6+2\end{pmatrix} = \begin{pmatrix}31 & 2 & 6\\1 & 17& -4 \end{pmatrix}\\\\\\\implies \begin{pmatrix}6x+y & 2 & 6\\1 & 4x-3y & -4\end{pmatrix} = \begin{pmatrix}31 & 2 & 6\\1 & 17& -4 \end{pmatrix}\\\\\text{System of equations},\\\\6x +y =31,~~ 4x -3y = 17\\\\\\(iii)\\\\6x +y-31 =0 \\\\4x-3y -17=0\\\\\text{Solving by cross multiplication method}\\\\\\\dfrac x{1(-17) - (-31)(-3)} = \dfrac y{4(-31) - 6(-17)} = \dfrac 1{6(-3) - 4(1)}$

$\implies \dfrac{x}{-17 -93} = \dfrac{y}{-124 +102} = \dfrac 1{-18-4}\\\\\\\implies -\dfrac{x}{110} = -\dfrac{y}{22} = -\dfrac 1{22}\\\\ \implies \dfrac{x}{110} = \dfrac{y}{22} = \dfrac 1{22}\\\ \\\text{Hence,}\\\\\\x=\dfrac{110}{22}=5,~~~~ y= \dfrac{22}{22} =1$