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dezoksy [38]
2 years ago
10

What is the final amount of a $300 investment earning 4.5% interest compounded quarterly for 3 years?

Mathematics
1 answer:
wel2 years ago
7 0
The formula A=P(1+(r/n))^nt should be followed when answering
300=P
R=0.045
N=4
T=3
300(1+(0.045/4))^4x3
Answer is=343.102
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Solve 2x^2 +16x+50=0
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2x^2 +16x+50=0\ \ \ \ \ |:2\\\\x^2+8x+25=0\\\\x^2+2\cdot x\cdot4+25=0\ \ \ \ |+4^2\\\\\underbrace{x^2+2\cdot x\cdot4+4^2}_{(a+b)^2=a^2+2ab+b^2}+25=4^2\ \ \ \ \ |-25\\\\(x+4)^2=16-25\\\\(x+4)^2=-9 < 0-NO\ REAL\ SOLUTION

COMPLEX\ SOLUTIONS\\\\(x+4)^2=-9\to x+4=\pm\sqrt{-9}\\\\x+4=-3i\ \vee\ x+4=3i\ \ \ \ |-4\\\\x=-4-3i\ \vee\ x=-4+3i

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3 years ago
A statistics student records the servings of vegetables Natalia and Zane eat each weekday. The table shows the results.
Softa [21]

Answer:

The Answer is D)

Step-by-step explanation:

3 0
3 years ago
Darius wants to purchase his favorite salad dressing. The salad dressing comes in two different size bottles. The 16 ounce bottl
Leya [2.2K]

<u>Answer:</u>

The correct answer option is b. Darius will get the better deal buying one 16 ounce bottle.

<u>Step-by-step explanation:</u>

We know that a 16 ounce bottle of the salad dressing is for $3.36 while a 10 ounce bottle is priced at $2.30.

Darius has a coupon for 40 cents off if he buys two 10 ounce bottles. We are to determine what is the better buy.

Price of one 16 ounce bottle = $3.36

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Therefore, Darius will get the better deal buying one 16 ounce bottle.

7 0
3 years ago
Read 2 more answers
HELP WITH THESE QUESTIONS PART 2.
polet [3.4K]

Answer: (a) IV (b) positive (c) \frac{\pi}{4} (d) C (e) \sqrt{2}

<u>Step-by-step explanation:</u>

a) \frac{15\pi}{4} - \frac{8\pi}{4} = \frac{7\pi}{4}, which is located in Quadrant IV <em>per the Unit Circle.  </em>

b) sec is \frac{1}{cos}. Cos is the x-coordinate.  The x-coordinate inQuadrant IV is positive.

c) the reference angle is the angle from \frac{7\pi}{4} to 2π = \frac{\pi}{4}

d) since the angle is below the x-axis and the reference angle is\frac{\pi}{4}, then the angle is equal to -sec(\frac{\pi}{4})

e) sec = \frac{1}{cos}   ⇒   sec \frac{7\pi}{4} = \frac{2}{\sqrt{2} } = \frac{2}{\sqrt{2} }(\frac{\sqrt{2}} {\sqrt{2}}) = \frac{2\sqrt{2} }{2} = \sqrt{2}

**********************************************************

Answer: (a) \frac{3\pi}{2} (b) (0, -1) (c) A (d) -1

<u>Step-by-step explanation:</u>

a) \frac{11\pi}{2} - \frac{4\pi}{2} = \frac{7\pi}{2} - \frac{11\pi}{2} = \frac{3\pi}{2}

b) \frac{3\pi}{2} is on the Unit Circle at (0, -1)

c) sin = \frac{opposite}{hypotenuse} which equals \frac{y}{r} on the Unit Circle.

d) sin is the y-coordinate. sin (\frac{3\pi}{2}) = -1

6 0
3 years ago
2. Dos calles tienen longitudes de 2 y de metros, ¿cuál es la longitud total de ambas?
Slav-nsk [51]
2que + 33x =56 no hablo galiebte
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3 years ago
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