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dusya [7]
1 year ago
13

An account has a rate of 1.9%. Find the effective annual yield if the interest is compounded quarterly.

Mathematics
1 answer:
True [87]1 year ago
6 0

Answer:

1.914 %

Step-by-step explanation:

Compounded quarterly means 4 periods per year  = n

   interest in decimal form per period    i = .019/4 = .00475

   Formula    

       annual yield =  ( 1+ i)^n  -1

                   (1+ .00475)^4  -1  = .01914  = ~ 1.914%

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avanturin [10]

There is a type of ammo in f/o/r/t/n/i/t/e that can be magically used for every single gun. You open an ammo box, and out pops 141 rounds of that ammo. You have already collected 6 guns. How many rounds go into each gun?

The answer is 23.5

THERE IS A REMAINDER??

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8 0
2 years ago
Two complex numbers are given byz1= 3 +j4 andz2= 2 +j3. Determine in both polar andCartesian forms
Marat540 [252]

Answer:

Cartesian

z₁= 3 +4*j

z₂= 2 +3*j

Polar

z₁=5 * e^ (0.927*j)

z₁=√13 * e^ (0.982*j)

Step-by-step explanation:

for the complex numbers z the cartesian form of is

z= x + y*j

then

1) z₁= 3 +4*j (cartesian form)

2) z₂= 2 +3*j (cartesian form)

the polar form is

z= r* e^jθ

where

r= √(x²+y²) → r₁ = √(3²+4²) = 5 ,  r₂ = √(2²+3²) = √13

and

θ = tan⁻¹ (y/x)  → θ₁  = tan⁻¹ (4/3)= 0.927 rad , θ₂  = tan⁻¹ (3/2)= 0.982 rad

then

z₁=5 * e^ (0.927*j)

z₁=√13 * e^ (0.982*j)

3 0
3 years ago
A group of students were doing a science experiment in which they measured wind speed and temperature. The first day the wind sp
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So the difference of speed will be 25-17 = 8 mph  the last one choice 

hope helped 
8 0
3 years ago
Solve the inequality:<br>(x+2)/(x^2-3x)&gt;0​
makkiz [27]

Answer:

The inequality is equivalent to x(x+2)(x−3)>0 , with the additional conditions that x≠0 and x≠3 .

Since x(x+2)(x−3) only changes signs when crossing −2 , 0 and 3 , from the fact that the evaluating the polynomial at 4 yields 24 , we see that the polynomial is

positive over (3,∞)

negative over (0,3)

positive over (−2,0)

negative over (−∞,−2)

Thus the solution set for your inequality is (−2,0)∪(3,∞) .

Step-by-step explanation:

hi Rakesh here is your answer :)

#shadow

7 0
3 years ago
The unshaded area inside the figure to the right is 648 in.² Use this fact to write an equation involving x. Then solve the equa
FrozenT [24]

The <em>second order</em> polynomial that involves the variable <em>x</em> (border inside the rectangle) and associated to the <em>unshaded</em> area is x² - 62 · x + 232 = 0.

<h3>How to derive an expression for the area of an unshaded region of a rectangle</h3>

The area of a rectangle (<em>A</em>), in square inches, is equal to the product of its width (<em>w</em>), in inches, and its height (<em>h</em>), in inches. According to the figure, we have two <em>proportional</em> rectangles and we need to derive an expression that describes the value of the <em>unshaded</em> area.

If we know that <em>A =</em> 648 in², <em>w =</em> 22 - x and <em>h =</em> 40 - x, then the expression is derived below:

<em>A = w · h</em>

(22 - x) · (40 - x) = 648

40 · (22 - x) - x · (22 - x) = 648

880 - 40 · x - 22 · x + x² = 648

x² - 62 · x + 232 = 0

The <em>second order</em> polynomial that involves the variable <em>x</em> (border inside the rectangle) and associated to the <em>unshaded</em> area is x² - 62 · x + 232 = 0. \blacksquare

To learn more on polynomials, we kindly invite to check this verified question: brainly.com/question/11536910

3 0
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