Answer:
1.92 × 10¹²
Step-by-step explanation:
Given:
Frequency of the MRI, f₁ = 6.38 × 10⁷ Hz
thus,
the wavelength = C / f
where,
C is the speed of the light
therefore,
wavelength of the electromagnetic wave by MRI, λ₁ = C / f₁
or
λ₁ = C / 6.38 × 10⁷ Hz
now,
Frequency of the PET, f₂ = 1.23 × 10²⁰ Hz
Thus,
wavelength of the electromagnetic wave by PET, λ₂ = C / f₂
or
λ₂ = C / 1.23 × 10²⁰ Hz
therefore,
the ratio of the MRI wavelength to the PET scanning wavelength
= λ₁ / λ₂
or
=
or
=
or
Ratio of the MRI wavelength to the PET scanning wavelength = 1.92 × 10¹²
<span>The annual return on $400 in stock is 0.11*400 = $44
</span>
The total return you want is 0.09 * 1600 = $144
Let a be the amount invested at 12% and b be the amount invested at 6%
0.12a + 0.06b = 144 - 44
12a + 6b = 10000
a + b = 1200
Put those 2 equations together and solve for a and b:
12a + 6b = 10000
a + b = 1200
Using elimination, a = $466.67 and b = $733.33
<span>So, out of an additional $1200, invest $466.67 at a rate of 12% and $733.33 at a rate of 6%</span>
<em>$29178.25</em>
- Step-by-step explanation:
<em>x = p(1 - r)ⁿ</em>
<em>p = original price</em>
<em>r = 8.3% = 0.083</em>
<em>n = 5 years</em>
<em>x = $45000(1 - 0.083)⁵</em>
<em>= $45000ₓ0.917⁵</em>
<em>= $45000ₓ0.64840548256</em>
<em>= </em><em>$29178.25</em>
Step-by-step explanation:
distance must be given
average speed is distance and time
Answer=C
Let's first solve for the volume of the cube
V=s³
V=9³
V=729cm³
1 liter is 1000cm³
1L=1000cm³
1L x L
_______ = _______
1000cm³ 729cm³
Cross multiply
1000x=729
divide both sides by 1000
x=0.729L
Answer=0.729L