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2 years ago

15

Jimmy received $352 in a week that he sold $1245 worth of electronics. what commission rate did jimmy receive? Round to the near

est tenth.

1 answer:

Lady bird [3.3K]2 years ago

7 0

Answer: 35.4%
Because 1245 divided by 352= 3.536931818181818 but since this is percentages we would have to multiply by 10.

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If Mark reads 18 pages less per day than originally planned, he will need 5 extra days to finish the book. If he reads 24 pages

JulijaS [17]

Answer:

Total number of pages is 540.

Step-by-step explanation:

Let mark read x be he number of pages per day and d be the number of days to finish the book.

Total number of pages = xd

Mark reads 18 pages less per day than originally planned, he will need 5 extra days to finish the book.

$(x-18)(d+5)=xd$

$xd+5x-18d-90=xd$

$5x-18d=90$ .... (1)

He reads 24 pages less per day, he will need 8 extra days to finish.

$(x-24)(d+8)=xd$

$xd+8x-24d-192=xd$

$8x-24d=192$

$x-3d=24$ ... (2)

Subtract 5 times of equation (2) from equation (1).

$5x-18d-5(x-3d)=90-5(24)$

$5x-18d-5x+15d=90-120$

$-3d=-30$

$d=10$

Substitute d=10 in equation (1).

$5x-18(10)=90$

$5x-180=90$

$5x=90+180$

$5x=270$

Divide both sides by 5.

$x=54$

Total number of pages

$xd=(54)(10)=540$

Therefore , the total number of pages is 540.

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3 years ago

Divide using long division or Synthetic Division.<br> 2x^3-3x^2-5x-12 dividing by x-3

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Answer:

2x^2 + 3x + 4

Step-by-step explanation:

generally, using long division,

(2x^3-3x^2-5x-12)/(x-3) = 2x^2 + 3x + 4

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3 years ago

PLEASE HELP ME!! no spame

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3 years ago

Read 2 more answers

This is not the same one as before. Which in inequality matches the graph ?

Nataly_w [17]

6w+6>18 is the correct answer. Because if you replace 2 with the w it would be true. Also the 2 is graphed as a open circle and is not included in the inequality.

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3 years ago

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Sand is leaking through a small hole at the bottom of a conical funnel at the rate of 12cm3/s . if the radius of the funnel is 8

Bezzdna [24]

Answer:

h ≅ 16.29 cm

$\mathbf{\dfrac{dh}{dt}= -0.1809 \ cm/s}$

Step-by-step explanation:

From the conical funnel;

Let the adjacent line at the base of the cone be radius (r) and the opposite ( vertical length) be the height (h)

Then;

$tan \theta= \dfrac{r}{h}$

$tan \theta= \dfrac{8}{16}$

$tan \theta= \dfrac{1}{2}$

∴

$\dfrac{r}{h} = \dfrac{1}{2}$

$r = \dfrac{h}{2}$

The volume (V) of the cone is expressed as:

$V = \dfrac{1}{3}\pi r ^2 h$

$V = \dfrac{1}{3}\pi (\dfrac{h}{2})^2 h$

$V = \dfrac{\pi h^3}{3\times 4}$

$\dfrac{dv}{dt} = \dfrac{3 \pi h^2}{3 \times 4} \dfrac{dh}{dt}$

$\dfrac{dv}{dt} = \dfrac{ \pi h^2}{4} \dfrac{dh}{dt}$

Given that:

$\dfrac{dv}{dt} = 12 \pi$

Then:

$-12 \pi = \dfrac{ \pi h^2}{4} \dfrac{dh}{dt}$

$- \int 48 \ dt = \int h^2 \ dh$

$\dfrac{h^3}{3}= -48 t + c$

$At \ t = 0 \ ; h = 0$

∴

$\dfrac{0^3}{3} = -48(0) + c$

c = 0

So;

$\dfrac{h^3}{3}= -48 t + 0$

$\dfrac{h^3}{3}= -48 t$

t = 30

$\implies h = (-48(30))^{1/3}$

h = 16.2865

h ≅ 16.29 cm

Thus;

from $-12 \pi = \dfrac{ \pi h^2}{4} \dfrac{dh}{dt}$

$\dfrac{-12 \pi} { \dfrac{ \pi h^2}{4} } =\dfrac{dh}{dt}$

$\dfrac{dh}{dt} = \dfrac{-12 \pi} { \dfrac{ \pi h^2}{4} }$

$\dfrac{dh}{dt}=\dfrac{-12 \times 4} { {16.29^2} }$

$\mathbf{\dfrac{dh}{dt}= -0.1809 \ cm/s}$

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3 years ago