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masha68 [24]
3 years ago
8

Tom and Jerry both earn the same monthly salary. Each month: Tom saves 35% of his salary. Jerry spends of his salary and saves t

he rest of his salary. Work out who saves the most money each month. You must show your working.
Mathematics
1 answer:
sineoko [7]3 years ago
4 0

Answer:

How much did Jerry spent out of his salary

Step-by-step explanation:

Please complete the question

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Find the directional derivative of f(x,y,z)=2z2x+y3f(x,y,z)=2z2x+y3 at the point (−1,4,3)(−1,4,3) in the direction of the vector
Feliz [49]

f(x,y,z)=2z^2x+y^3

f has gradient

\nabla f(x,y,z)=2z^2\,\vec\imath+3y^2\,\vec\jmath+4xz\,\vec k

which at the point (-1, 4, 3) has a value of

\nabla f(-1,4,3)=18\,\vec\imath+48\,\vec\jmath-12\,\vec k

I'm not sure what the given direction vector is supposed to be, but my best guess is that it's intended to say \vec u=15\,\vec\imath+25\,\vec\jmath, in which case we have

\|\vec u\|=\sqrt{15^2+25^2}=5\sqrt{34}

Then the derivative of f at (-1, 4, 3) in the direction of \vec u is

D_{\vec u}f(-1,4,3)=\nabla f(-1,4,3)\cdot\dfrac{\vec u}{\|\vec u\|}=\boxed{\dfrac{294}{\sqrt{34}}}

4 0
3 years ago
Jay Spring pays $350.00 annually for his health insurance. This is 1/3 of the total cost of the premium; his company pays the re
VashaNatasha [74]
$1,800 (10%) = $180 
jay pays 10% of the expenses beyond the deductible so you multiply the amount beyond the deductible by 10%.
$1,800 - $180 = $1,620 
or
$1,800 (90%) = $1,620
you subtract what jay pays from the total or you multiply the total by 90%

jay pays $180 of the expenses past the deductible (not including his $200 deductible) and his insurance company pays $1,620. 
4 0
3 years ago
Read 2 more answers
Can somebody answer this (on the picture) algebra question please
zheka24 [161]
I am torn between B and D because increased means add, but I am going to go with B 1 - 3n. I choose B because in the D option it decreases not increases. 

So the answer is B.) 1 - 3n
Hope this helps! - Alyssa

6 0
3 years ago
Multiply. (3.5x10^-5) (3x10^-10) express your answer in scientific notation.​
Len [333]

Answer:

5.69034 × 1011

Step-by-step explanation:

Decimal  

1234000000

Scientific Notation  

1.234 x 10^9

×10^  

9

1st Number  

1.234

×10^  

9

Operation  

2nd Number  

5.678

×10^  

11

3 0
3 years ago
Triangle JKL has vertices J(−2, 2) , K(−3, −4) , and L(1, −2) . Write the coordinate notation for a translation of 8 units right
Dovator [93]
Triangle JKL has vertices J(−2, 2) , K(−3, −4) , and L(1, −2) .

Rule: (x, y)→(x + 8, y + 1 )

J’ (-2, 2) → (-2 + 8, 2 + 1 ) → (6, 3 )
K’ (-3, -4) → (-3 + 8, -4 + 1 ) → (5, -3 )
L’ (1, -2) → (1 + 8, -2 + 1 ) → (9, -1)


J’ (6,3)
K’ (5,-3)
L’ (9,-1)


Hope this helps!
3 0
2 years ago
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