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3 years ago

NEED ANSWER ASAP PLEASE

Mathematics

1 answer:

slava [35]3 years ago

3 0

Step-by-step explanation:

3x+8=4x

8=x

QS=4x

QS=32

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The volume of this cone is 602.88 cubic inches. What is the radius of this cone?

choli [55]

Answer:

Step-by-step explanation:

Volume of a cone formula: V = $\pi r^{2} \frac{h}{3}$

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Plug in everything:

$602.88 = 3.14r^{2} (\frac{9}{3} )\\602.88 = 3.14r^{2} (3)\\1808.64 = 28.26r^{2}\\\frac{1808.64}{28.26} = \frac{28.26r^{2}}{28.26} \\r^{2} = 64\\r = \sqrt{64} \\r = 8\\or\\r =-8$

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£2000 is invested in a savings account. Compound interest at 2.1% P.A.

stich3 [128]

$\sf\ 2.1\ percent\ interest\ P.A.\ means\ annually.\ Annually\ means\ every\ year.\\\\ The\ question\ requires\ a\ compound\ interest\ formula.\\\\\ The\ formula\ is\\{\boxed{A=P(1+ \frac{r}{n})^n^t}$

$\sf\ P\ =\ principal\ amount\ (2000)\\\\ r\ =\ annual\ rate\ of\ interest\ (.021)\\\\ t\ =\ number\ of\ years\ the\ amount\ is\ deposited\ or\ borrowed\ for\ (2)\\\\ A\ =\ amount\ of\ money\ accumulated\ after\ n\ years,\ including\ interest\ (?)\\\\ n\ =\ number\ of\ times\ the\ interest\ is\ compounded\ per\ year\ (1)\\\\\\\\A=P(1+ \frac{r}{n})^n^t\\\\A=2000(1+ \frac{.021}{1})^2\\\\A=2000(1.021)^2\\\\A=2000(1.042441)\\\\\A=2084.882\\\\\\\ To\ find\ the\ amount\ of\ interest:\\2084.882-2000=84.882=\\\\{\boxed{84.88}$

$\boxed{\sf\ Answer:\ D}$

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3 years ago