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4 years ago

What is the result when 124 is increased by 6.5%

Mathematics

2 answers:

jekas [21]4 years ago

7 0

You multiply 124 (0.065) which gets you 8.06. You then add 8.06 to 124 and you get 132.06.

LUCKY_DIMON [66]4 years ago

6 0

Answer:

132.06

Step-by-step explanation:

6.5% = 0.065, so the 6.5% of 124 is 124*0.065= 8.06. Now, the increasing is the total plus the percentage, that is

124 + 124*0.065 = 124 + 8.06 = 132.06.

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Find two positive integers that satisfy the requirement.

aleksandr82 [10.1K]

Answer:

The two positive integers that satisfy the requirement are 21 and 23

Step-by-step explanation:

Let

x ----> the first consecutive odd integer

x+2 ---> the second consecutive odd integer

we know that

$x(x+2)=483$

Apply distributive property left side

$x^2+2x=483$

$x^2+2x-483=0$

we know that

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^2+2x-483=0$

$a=1\\b=2\\c=-483$

substitute in the formula

$x=\frac{-2(+/-)\sqrt{2^{2}-4(1)(-483)}} {2(1)}$

$x=\frac{-2(+/-)\sqrt{1,936}} {2)}$

$x=\frac{-2(+/-)44} {2)}$

$x=\frac{-2(+)44} {2)}=21$

$x=\frac{-2(-)44} {2)}=-23$

x=21

x+2=23

therefore

The two positive integers that satisfy the requirement are 21 and 23

6 0

3 years ago

Given a sphere with a radius of 2 cm, find its volume to the nearest whole

nirvana33 [79]

$\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=2 \end{cases}\implies V=\cfrac{4\pi (2)^3}{3}\implies V=\cfrac{32\pi }{3} \\\\\\ V\approx 33.51032163829112\implies \stackrel{\textit{rounded up}}{V=34}$