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3 years ago

If p is inversely proportional to the square of q, and pis 24 when q is 11,

Mathematics

2 answers:

jonny [76]3 years ago

5 0

Answer:

p = 12 × 11²

Step-by-step explanation:

By question,

=> p ∝ 1/q²

=> p = k/q²

When p is 24 and q is 11

=> 24 = k/11²

=> k = 24 * 11²

When q is 2 ,

=> p = k/q²

=> p = 24*11²/2

=> p = 12 × 11²

alexandr402 [8]3 years ago

4 0

Answer:

726

Step-by-step explanation:

Here p = k / q², and 24 = k / 121, or k = 2904

Then p = 2904 / q²

If q = 2, p = 2904 /4 = 726

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Find the amount and present value of 10 quarterly payments of $ 1500, if the interest rate is 25% compounded each month.

BlackZzzverrR [31]

Given Information:

Monthly payment = MP = $1500/4 = $375

Monthly interest rate = r = 25/12 = 2.083%

Required Information:

Present Value = ?

Answer:

$PV = \$10,110$

Explanation:

n = 10*4

n = 40 monthly payments

The present value is found by

$PV = MP \times \frac{ (1 - \frac{1}{(1+r)^n} )}{r}$

Where r is monthly interest rate.

MP is the monthly payment.

$PV = 375 \times \frac{ (1 - \frac{1}{(1+0.02083)^{40}} )}{0.02083}$

$PV = 375 \times (26.96)$

$PV = \$10,110$

Therefore, $10,110 is the present value of 10 quarterly payments of $1500 each at 25% interest rate compounded each month.

7 0

3 years ago

Ben made a model that was 5 3/4 inches tall. Laquisha made a model that was 70 11/12 inches tall. How many times as tall was Laq

tatyana61 [14]

Answer:

Her model is 37 times as tall as Ben's.

Step-by-step explanation:

70 11/12 ÷ 5 3/4

851/12 ÷ 23/4

851/12 x 4/23

37/1 x 1/1 = 37 times as tall

6 0

3 years ago

Solve for the roots in the equation below. In your final answer, include each of the necessary steps and calculations. Hint: Use

QveST [7]

$\bf 27\implies 3^3\\\\
i^3\implies i\cdot i\cdot i\implies i^2\cdot i\implies -1\cdot i\implies -i\\\\
-----------------------------\\\\
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\\\\\\
x^3+(3i)^3=0\\\\
-----------------------------\\\\
\textit{difference of cubes}
\\ \quad \\
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\begin{cases}
x+3i=0\implies \boxed{x=-3i}\\\\
x^2-3ix+(3i)^2=0
\end{cases}
\\\\\\
\textit{now, for the second one, we'd need the quadratic formula}
\\\\\\
x^2-3ix+(3i)^2=0\implies x^2-3ix+(3^2i^2)=0
$

$\bf x^2-3ix+(-9)=0\implies x^2-3ix-9=0
\\\\\\
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7 0

3 years ago

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Colt1911 [192]

Answer:

281

Step-by-step explanation:

68 out of 653 = 68/653 = 0.104

2700 * 0.104 = 281

4 0

2 years ago

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Ainat [17]

Answer:

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Step-by-step explanation:

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3 years ago