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3 years ago

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Josiah invests $360 into an account that accrues 3% interest annually. Assuming no deposits or withdrawals are made, which equat

ion represents the amount of money in Josiah’s account, y, after x years?

2 answers:

Shalnov [3]3 years ago

6 0

The accumulated value,y

Y=360*(1+0.03)^x

liraira [26]3 years ago

6 0

Answer:

D

Step-by-step explanation:

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Water is filling a ditch at a rate of 2 gallons per minute. Complete the table of equivalent ratios for the first 5 minutes of t

UNO [17]

Answer:

2 4 6 8 10

1 2 3 4 5

Step-by-step explanation:So if it's filling up 2 gallons per minute then you would multiply 2x2=4 3x2=6 4x2=8 and 5x2=10. So you would multiply every minute by 2.

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3 years ago

A certain medicine is given in an amount proportion to a patient’s body weight. Suppose a patient weighing 132 pounds requires 1

Natali5045456 [20]

Answer:

169 mg

Step-by-step explanation:

The ratio of medicine quantity to body weight is the same for both patients, so ...

amount/(156 lb) = (143 mg)/(132 lb)

Multiply by 156 lb:

amount = (143 mg)(156/132) = 169 mg

The patient requires 169 mg of medicine.

7 0

4 years ago

Read 2 more answers

Compute the second partial derivatives ∂2f ∂x2 , ∂2f ∂x ∂y , ∂2f ∂y ∂x , ∂2f ∂y2 for the following function. f(x, y) = 2xy (x2 +

blsea [12.9K]

Answer with step-by-step explanation:

We are given that a function

$f(x,y)=2xy(x^2+y^2)^2$

Differentiate partially w.r.t x

Then, we get

$\frac{\delta f}{\delta x}=2y(x^2+y^2)^2+8x^2y(x^2+y^2)=(x^2+y^2)(2x^2y+2y^3+8x^2y)=2(5x^2y+y^3)(x^2+y^2)$

Differentiate again w.r.t x

$\frac{\delta^2f}{\delta x^2}=2(10xy)(x^2+y^2)+4x(5x^2y+y^3)=20x^3y+20xy^3+20x^3y+4xy^3=40x^3y+24xy^3$

Differentiate function w.r.t y

$\frac{\delta f}{\delta y}=2x(x^2+y^2)^2+2xy\times 2(x^2+y^2)\times 2y$

$\frac{\delta f}{\delta y}=(x^2+y^2)(2x^3+2xy^2+8xy^2)=2(x^2+y^2)(x^3+5xy^2)$

Again differentiate w.r.t y

$\frac{\delta^2f}{\delta x^2}=2(2y)(x^3+5xy^2)+20xy(x^2+y^2)=4x^3y+20xy^3+20x^3y+20xy^3=24x^3y+40xy^3$

Differentiate partially w.r.t y

$\frac{\delta^2f}{\delta y\delta x}=2(2y(5x^2y+y^3)+(x^2+y^2)(5x^2+3y^2))=10x^4+36x^2y^2+10y^4$

$\frac{\delta^2f}{\delta y\delta x}=10x^4+36x^2y^2+10y^4$ $\frac{\delta^2f}{\delta x\delat y}=2(2x(x^3+5xy^2)+(3x^2+5y^2)(x^2+y^2))=10x^4+36x^2y^2+10y^4$

$\frac{\delta^2f}{\delta x\delat y}=10x^4+36x^2y^2+10y^4$

Hence, if f(x,y) is of class $C^2$ (is twice continuously differentiable), then the mixed partial derivatives are equal.

i.e $\frac{\delta^2f}{\delta y\delta x}=\frac{\delta^2f}{\delta x\delta y}$

8 0

4 years ago

Help,anyone can help me do quetion.

mel-nik [20]

X=60 and Y=30
A quadrilateral with 2 parallel lines is a parallelogram which has equal angle to the opposite angle

3 0

3 years ago

Read 2 more answers

There are 4500 people in Springfield. 1/3 of the population of Springfield are under the age of 21. how many people are under 21

Rama09 [41]

Answer:

$1,500\ people$

Step-by-step explanation:

we know that

There are $4,500$ people in Springfield. $1/3$ of the population of Springfield are under the age of $21$

so

To calculate how many people are under $21$ in Springfield

Multiply $4,500$ by $1/3$

$4,500*(1/3)=1,500\ people$

4 0

3 years ago