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2 years ago

8

Kian borrowed £1900 at a simple interest rate of 8% per year.

1 answer:

Sladkaya [172]2 years ago

3 0

$~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \pounds 2812\\ P=\textit{original amount deposited}\dotfill & \$1900\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ t=years \end{cases} \\\\\\ 2812=1900[1+(0.08)(t)]\implies \cfrac{2812}{1900}=1+0.08t\implies \cfrac{37}{25}=1+0.08t \\\\\\ \cfrac{37}{25}-1=0.08t\implies \cfrac{12}{25}=0.08t\implies \cfrac{ ~~ \frac{12}{25} ~~ }{0.08}=t\implies 6=t$

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3 years ago

Derive the equation of the parabola with a focus at (-2,4) and a directrix of y=6 . Put the equation in standard form

Maru [420]

Answer:

$y = - \frac{1}{4} {(x + 2)}^{2} + 5$

Step-by-step explanation:

The vertex of this parabola is the midpoint of the focus (-2,4) and where the directrix intersects the axis of symmetry of the parabola (-2,6)

This parabola must open downwards due to the position of the directrix and has equation of the form:

${(x - h)}^{2} = - 4p(y - k)$

where (h,k) is the vertex.

This implies that:

$h = - 2$

and

$k = \frac{4 + 6}{2} = 5$

The value of p is the distance from the vertex to the focus:

$p = |6 - 5| = 1$

We substitute all the values into the formula to get:

$(x - - 2)^{2} = - 4(1){(y - 5)}$

${(x + 2)}^{2} = - 4(y - 5)$

Or

$y = - \frac{1}{4} {(x - 5)}^{2} + 5$

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3 years ago

Which expression is equivalent to the given expression?

mel-nik [20]

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3 years ago

Read 2 more answers

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Hey!!

here is your answer >>>

the original price is $90 and Maggie paid 80% of it!. which means ,

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Hope my answer helps!

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