846 divided by 7 how to slove

an employee of a car wash earns $12 for each car she washes. she always savs $50 of her weekly earnings. this week, she wants to

Nitella [24]

at least 13 cars to be washed

8 0

3 years ago

Country Club Activities At the Avonlea Country Club, 67% of the members play bridge and swim, and 86% play bridge. If a member i

Volgvan

Answer: 0.78

Step-by-step explanation:

Given : P(bridge and swim) = 0.67

P(bridge)= 0.86

Formula for conditional probability :

$P(B|A)=\dfrac{P(\text{A and B})}{P(A)}$

So, $\text{P(swim }|\text{ bridge) = }\dfrac{\text{ P(bridge and swim)}}{\text{P(bridge)}}$

$=\dfrac{0.67}{0.86}\approx0.78$

Hence, the probability that the member swims, given that the member plays bridge = 0.78

3 0

3 years ago

Ted invests $8,310 in a savings account with a fixed annual interest rate of 2% compounded continuously. How long will it take f

Vsevolod [243]

Answer: It will take 8 years.

Step-by-step explanation:

Equation for interest compounded continuously:

$A=Pe^{rt}$ , A = accumulated amount , P=Principal value , r =rate of interest , t= time.

Given: P= $8,310 , r = 2% , A= $9,751.88

$9751.88=8310e^{0.02t}\\\\\Rightarrow\ \dfrac{9751.88}{8310}=e^{0.02t}\\\\\Rightarrow\ 1.17351143201=e^{0.02t}$

Taking natural log on both sides

$\ln (1.17351143201)=\ln (e^{0.02t})\\\\\Rightarrow\ 0.160000478068=0.02t\\\\\Rightarrow\ t=\dfrac{0.160000478068}{0.02}\\\\\Rightarrow\ t=8.0000239034\approx8$

Hence, it will take 8 years.

8 0

3 years ago

Thirty million three hundred forty three thousand one hundred and fifty four in number form

Drupady [299]

Thirthy three million=33,000,000
Three hundred and forty three thousand=343,000
One hundred and fifty four=154
Put it all together=33,343,154

6 0

4 years ago

Water flows into a right cylindrical shaped swimming pool with a circular base at a rate of 4 m33/min. The radius of the base is

Sloan [31]

Answer:

The water level is rising at a rate of approximately 0.1415 meters per minute.

Step-by-step explanation:

Water is flowing into a right cylindrical-shaped swimming pool at a rate of 4 cubic meters per minute. The radius of the base is 3 meters.

And we want to determine the rate at which the water level of the pool is rising.

Recall that the volume of a cylinder is given by:

$\displaystyle V = \pi r^ 2h$

Since the radius is a constant 3 meters:

$\displaystyle V = 9\pi h$

Water is flowing at a rate of 4 cubic meters per minute. In other words, dV/dt = 4 m³ / min.

Take the derivative of both sides with respect to <em>t: </em>

<em /> $\displaystyle \frac{d}{dt}\left[ V\right] = \frac{d}{dt}\left[ 9\pi h\right]$ <em />

Implicitly differentiate:

$\displaystyle \frac{dV}{dt} = 9\pi \frac{dh}{dt}$

The rate at which the water level is rising is represented by dh/dt. Substitute and solve:

$\displaystyle \left(4 \right) = 9\pi \frac{dh}{dt}$

Therefore:

$\displaystyle \frac{dh}{dt} = \frac{4}{9\pi} \approx 0.1415\text{ m/min}$

In conclusion, the water level is rising at a rate of approximately 0.1415 meters per minute.

6 0

3 years ago