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Mathematics

1 answer:

inessss [21]3 years ago

6 0

Answer:

yes

Step-by-step explanation:

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jekas [21]

option B is the answer of this question

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2 years ago

What is three quarters of £42 and a quarter of £42

maksim [4K]

$three \ quarters \to \frac{3}{4} \\\\ \frac{3}{4} \ of \ 42\£ = \\\\ =\frac{3}{4}*42\£= \\\\ =\frac{3}{2}*21\£= \\\\ =\frac{63\£}{2} = \\\\= \boxed{31.5\£} \\\\\\\ a \ quarter \to \frac{1}{4} \\\\ \frac{1}{4} \ of \ 42\£= \\\\ =\frac{1}{4}*42\£= \\\\ =\frac{21\£}{2}= \\\\ =\boxed{10.5\£}$

3 0

3 years ago

Read 2 more answers

Given the relationship x2 + 3y2 =12, with y > 0 and dx, dt = 2 units/min., find the value of dy, dt at the instant y = 1 unit

matrenka [14]

$\bf x^2+3y^2=12\implies \stackrel{chain~rule}{2x\cfrac{dx}{dt}}+3 \stackrel{chain~rule}{\left(2y\cfrac{dy}{dt}\right)}=0
\\\\\\
2x\cfrac{dx}{dt}+6y\cfrac{dy}{dt}=0
\implies 
6y\cfrac{dy}{dt}=-2x\cfrac{dx}{dt}\implies \cfrac{dy}{dt}=\cfrac{-2x\frac{dx}{dt}}{
6y\frac{dy}{dt}}
\\\\\\
\boxed{\cfrac{dy}{dt}=-\cfrac{x\frac{dx}{dt}}{3y}}\\\\
-------------------------------$

$\bf \textit{now, when y = 1, what is \underline{x}?}\qquad x^2+3y^2=12\implies x^2+3(1)^2=12
\\\\\\
x^2=9\implies x=\sqrt{9}\implies x=3\\\\
-------------------------------\\\\
\begin{cases}
y=1\\
x=3\\
\frac{dx}{dt}=2
\end{cases}\implies \cfrac{dy}{dt}=-\cfrac{3\cdot 2}{3\cdot 1}\implies \cfrac{dy}{dt}=-2$

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3 years ago

Find the future value of the annuity due for $200 deposited at the beginning of each quarter for 12 years at 7% compounded quart

dimulka [17.4K]

200*(107%)^x

x is the number of quarters that passed.
each year has 4 quarters, so 12 yaers would have: 12*4 = 48 quarters

200*(107%)^48 = 5146

4 0

3 years ago

A cone has a diameter of 6 cm and a height of 11.5 cm. Find the volume. Round your answer to the nearest 10th if necessary. Use

uysha [10]

V=πr^2h/3=π·3^2·11.5/3≈108.38495 or 108.40 rounded

5 0

3 years ago