Ask question

Ask question

All categories

3 years ago

12

Is my answer correct ? I put 4 as my answer btw .

1 answer:

7nadin3 [17]3 years ago

8 0

To the nearest hundredth the correct answer is 4.05, but you're basically right

You might be interested in

Alisha asked 120 students what kind of pet they like the most. Exactly 45% of the students said they liked dogs best. What was t

qwelly [4]

The answer would be 54 students liked dogs the best.

6 0

2 years ago

For each of the following vector fields

olga nikolaevna [1]

(A)

$\dfrac{\partial f}{\partial x}=-16x+2y$

$\implies f(x,y)=-8x^2+2xy+g(y)$

$\implies\dfrac{\partial f}{\partial y}=2x+\dfrac{\mathrm dg}{\mathrm dy}=2x+10y$

$\implies\dfrac{\mathrm dg}{\mathrm dy}=10y$

$\implies g(y)=5y^2+C$

$\implies f(x,y)=\boxed{-8x^2+2xy+5y^2+C}$

(B)

$\dfrac{\partial f}{\partial x}=-8y$

$\implies f(x,y)=-8xy+g(y)$

$\implies\dfrac{\partial f}{\partial y}=-8x+\dfrac{\mathrm dg}{\mathrm dy}=-7x$

$\implies \dfrac{\mathrm dg}{\mathrm dy}=x$

But we assume $g(y)$ is a function of $y$ alone, so there is not potential function here.

(C)

$\dfrac{\partial f}{\partial x}=-8\sin y$

$\implies f(x,y)=-8x\sin y+g(x,y)$

$\implies\dfrac{\partial f}{\partial y}=-8x\cos y+\dfrac{\mathrm dg}{\mathrm dy}=4y-8x\cos y$

$\implies\dfrac{\mathrm dg}{\mathrm dy}=4y$

$\implies g(y)=2y^2+C$

$\implies f(x,y)=\boxed{-8x\sin y+2y^2+C}$

For (A) and (C), we have $f(0,0)=0$ , which makes $C=0$ for both.

4 0

2 years ago

Find the area of ABCD with vertices 4 (5,-5), B(8,5), C(11, -15), and D(8, – 15).

OleMash [197]

Answer:

65 square units.

Step-by-step explanation:

7 0

1 year ago

The ratio of width to length of baily's television screen is 3:4. what is the width of the screen if the length is 32 inches

Yuri [45]

If the length is 32 and the ratio is 3:4, you'd do 32 ÷ 4 = 8. The answer is 3 × 8, which is 24 inches. I hope this helps!

5 0

2 years ago

Ella invested $2,700 in an account paying an interest rate of 5.4% compounded

Dmitry [639]

Answer:

<em>The account will take 7 years to reach a value of $4,020</em>

Step-by-step explanation:

<u>Compound Interest </u>

When it occurs interest in the next period is then earned on the principal sum plus previously accumulated interest.

The formula is:

$A=P\left(1+{\frac {r}{n}}\right)^{nt}$

Where:

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Ella invested P=$2,700 in an account with an interest rate of r=5.4% (0.054) compounded monthly. Since there are 12 months in a year, n=12.

It will be calculated when will the account have a value of A=$4,020. Substituting all the values in the formula:

$4,020=2,700\left(1+{\frac {0.054}{12}}\right)^{12t}$

Calculating:

$4,020=2,700\left(1.0045)^{12t}$

Dividing by 2,700:

$\frac{4,020}{2,700}=\left(1.0045)^{12t}$

To solve this equation for t, we need to apply logarithms:

$\log\frac{4,020}{2,700}=\log\left(1.0045)^{12t}$

Applying the logarithm power rule:

$\displaystyle \log\frac{4,020}{2,700}=12t\log 1.0045$

Dividing by 12log 1.0045:

$\displaystyle t=\frac{\log\frac{4,020}{2,700}}{12\log 1.0045}$

Calculating:

t= 7.39 years

Rounding to the nearest year, the account will take 7 years to reach a value of $4,020

3 0

2 years ago

Read 2 more answers