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3 years ago

During a recent workout,

Mathematics

1 answer:

Paha777 [63]3 years ago

5 0

Answer:

4 3/5

Step-by-step explanation:

20 minutes = 4 and 1/15 miles

So 60 minutes makes 1 hour

60 ÷ 20 = 3

4 1/15 × 3 = 4 3/5

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William buys a basket of pomegranates on sale for $10 before tax. The sales tax is 17%, percent. What is the total price William

maks197457 [2]

William paid $11.70 for the pomegranates because 17% of 10 is 1.7. When you add that back to your original $10, you get $11.70.

4 0

3 years ago

Amount $100,000

sergey [27]

Answer:

1) Repaid for the loan = $239,511.60

2) Percentage = 58.2%

3) Average amount = $387.53

Step-by-step explanation:

Given :

Amount $100,000

Rate 7%

Payments 360 - $665.31

Total interest $139,511.60

To find :

1) How much will be repaid for this loan?

Repaid for the loan = Amount - Total interest

Repaid for the loan = 100,000 + 139,511.60

Repaid for the loan = $239,511.60

2) What percentage will be repaid for this loan?

$\text{Percentage}=\frac{\text{Total interest}}{\text{Repaid loan}}\times100$

$\text{Percentage}=\frac{139511.60}{239511.60}\times100$

$\text{Percentage}=0.582\times100$

$\text{Percentage}=58.2\%$

3) What will be the average amount per payment for interest?

$\text{Average amount}=\frac{\text{Total interest}}{\text{Payments}}$

$\text{Average amount}=\frac{\text{139511.60}}{\text{360}}$

$\text{Average amount}=387.53$

4 0

3 years ago

Find the maximum and minimum values of the function f(x,y)=2x2+3y2−4x−5 on the domain x2+y2≤100. The maximum value of f(x,y) is:

ryzh [129]

First find the critical points of f :

$f(x,y)=2x^2+3y^2-4x-5=2(x-1)^2+3y^2-7$

$\dfrac{\partial f}{\partial x}=2(x-1)=0\implies x=1$

$\dfrac{\partial f}{\partial y}=6y=0\implies y=0$

so the point (1, 0) is the only critical point, at which we have

$f(1,0)=-7$

Next check for critical points along the boundary, which can be found by converting to polar coordinates:

$f(x,y)=f(10\cos t,10\sin t)=g(t)=295-40\cos t-100\cos^2t$

Find the critical points of g :

$\dfrac{\mathrm dg}{\mathrm dt}=40\sin t+200\sin t\cos t=40\sin t(1+5\cos t)=0$

$\implies\sin t=0\text{ OR }1+5\cos t=0$

$\implies t=n\pi\text{ OR }t=\cos^{-1}\left(-\dfrac15\right)+2n\pi\text{ OR }t=-\cos^{-1}\left(-\dfrac15\right)+2n\pi$

where n is any integer. We get 4 critical points in the interval [0, 2π) at

$t=0\implies f(10,0)=155$

$t=\cos^{-1}\left(-\dfrac15\right)\implies f(-2,4\sqrt6)=299$

$t=\pi\implies f(-10,0)=235$

$t=2\pi-\cos^{-1}\left(-\dfrac15\right)\implies f(-2,-4\sqrt6)=299$

So f has a minimum of -7 and a maximum of 299.

4 0

3 years ago

What is the surface area of a prism that has detentions of: length is 5.5, width is 6, and the hight is 2.4

Alex787 [66]

Answer:

79.2

Step-by-step explanation:

6 0

3 years ago

Ash buys 5 bunches of flowers. Each bunch contains 10 flowers. He gets 8 more flowers from his yard.

Semenov [28]

Answer:

5 x 10 + 8 = f

Step-by-step explanation:

The reason it is 5 x 10 + 8 = f, is because each bunch has 10 and Ash has five.

In order to find how many flowers he has in 5 bunches is to multiply by how many flowers each bunch has.

Then he gets 8 more flowers which is why it has +8 in the equation.

6 0

2 years ago

Read 2 more answers