Ask question

Ask question

All categories

3 years ago

11

a man pays 330 each month for his gym membership what is the change in the amount of money in his account after two thirds of a

year

1 answer:

olasank [31]3 years ago

6 0

$\dfrac{\$330}{1\,month}\times\dfrac{12\,month}{1\,year}\times\dfrac{2}{3}\,year\\\\=\$2640$

The account will have decreased by $2640 after 2/3 year.

You might be interested in

A plane flying horizontally at an altitude of 1 mi and a speed of 470 mi/h passes directly over a radar station. Find the rate a

kiruha [24]

Answer:

407 mi/h

Step-by-step explanation:

Given:

Speed of plane (s) = 470 mi/h

Height of plane above radar station (h) = 1 mi

Let the distance of plane from station be 'D' at any time 't' and let 'x' be the horizontal distance traveled in time 't' by the plane.

Consider a right angled triangle representing the above scenario.

We can see that, the height 'h' remains fixed as the plane is flying horizontally.

Speed of the plane is nothing but the rate of change of horizontal distance of plane. So, $s=\frac{dx}{dt}=470\ mi/h$

Now, applying Pythagoras theorem to the triangle, we have:

$D^2=h^2+x^2\\\\D^2=1+x^2$

Differentiating with respect to time 't', we get:

$2D\frac{dD}{dt}=0+2x\frac{dx}{dt}\\\\\frac{dD}{dt}=\frac{x}{D}(s)$

Now, when the plane is 2 miles away from radar station, then D = 2 mi

Also, the horizontal distance traveled can be calculated using the value of 'D' in equation (1). This gives,

$2^2=1+x^2\\\\x^2=4-1\\\\x=\sqrt3=1.732\ mi$

Now, plug in all the given values and solve for $\frac{dD}{dt}$ . This gives,

$\frac{dD}{dt}=\frac{1.732\times 470}{2}=407.02\approx 407\ mi/h$

Therefore, the distance from the plane to the station is increasing at a rate of 407 mi/h.

6 0

3 years ago

Choose the correct simplification of the expression f4 • f8.

hammer [34]

Answer:

f^12

Step-by-step explanation:

In this equation, you need to add the two exponents so this would make f^12

hope this helps!

8 0

3 years ago

Read 2 more answers

Rocco is making goat food cups to be sold in a petting zoo. He has 8 apples, which is only of what he needs to make enough food

Volgvan

You would need 16apples

5 0

2 years ago

Read 2 more answers

2. What step did Mikayla do wrong when she solved this

Lunna [17]

Mikayla subtracted 4 from both sides in the beginning when she should've added it to both sides to cancel it out on the right. the correct answer should actually be x=1

5 0

2 years ago

Read 2 more answers

Is this correct ? if not what’s the correct answer?

lara [203]

Yes this is correct because that angle in is with the other angles to

5 0

2 years ago

Read 2 more answers