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4vir4ik [10]
3 years ago
15

Abigail has $356 in her bank account. She earns simple interest on her money at a rate of 3% per year for a total of five years.

What was the new balance of the account at the end of the 5 years? А $409.4 B $250.37 6 C) $625 - D $37.50 1​
Mathematics
1 answer:
fredd [130]3 years ago
7 0

Answer:

it's probably b

Step-by-step explanation:

I don't know how to do it so don't do b

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What adds to 12 and multiplies to 8
Ipatiy [6.2K]
X+y= -12 xy=8 y=8/x x+8/x=-12 x^2+12x+8=0 This has no integral
7 0
3 years ago
Find the directional derivative of f(x,y,z)=z3−x2yf(x,y,z)=z3−x2y at the point (−5,5,2)(−5,5,2) in the direction of the vector v
olga_2 [115]

We are given

f=z^3 -x^2y

Firstly, we can find gradient

so, we will find partial derivatives

f_x=0 -2xy

f_x=-2xy

f_y=0 -x^2

f_y=-x^2

f_z=3z^2

now, we can plug point (-5,5,2)

f_x=-2*-5*5=50

f_y=-(-5)^2=-25

f_z=3(2)^2=12

so, gradient will be

gradf=(50,-25,12)

now, we are given that

it is in direction of v=⟨−3,2,−4⟩

so, we will find it's unit vector

|v|=\sqrt{(-3)^2+(2)^2+(-4)^2}

|v|=\sqrt{29}

now, we can find unit vector

v'=(\frac{-3}{\sqrt{29} } , \frac{2}{\sqrt{29} } , \frac{-4}{\sqrt{29} })

now, we can find dot product to find direction of the vector

dir=(gradf) \cdot (v')

now, we can plug values

dir=(50,-25,12) \cdot (\frac{-3}{\sqrt{29} } , \frac{2}{\sqrt{29} } , \frac{-4}{\sqrt{29} })

dir=(-\frac{150}{\sqrt{29} } - \frac{50}{\sqrt{29} } - \frac{48}{\sqrt{29} })

dir=-\frac{248\sqrt{29}}{29}.............Answer



7 0
3 years ago
Read 2 more answers
What is the largest multiple of 36 that can be written with each digit 0-9 exactly once?
antoniya [11.8K]

Answer:

Not sure

Step-by-step explanation:

Sorry

7 0
2 years ago
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A.
Varvara68 [4.7K]

Answer:

Angela, a proportion is two equal ratios, kinda like 3/4 = 6/8.

 

If we call the number of cars c, then our proportion is 3/10 = c/100.

 

Cross multiplying, we get 10c = 300.

 

Dividing both sides by 10, c = 30.

3 0
2 years ago
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Question 2:
Aleonysh [2.5K]
15 minutes each day.
8 0
3 years ago
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