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krek1111 [17]
3 years ago
8

If the rate of the boat in still water is 20 mph, and the rate of the current is x mph, what is the rate of the boat going upstr

eam
Mathematics
1 answer:
TiliK225 [7]3 years ago
3 0

9514 1404 393

Answer:

  20 -x

Step-by-step explanation:

Relative to the shore, the speed of the current subtracts from the speed of the boat. The net upstream speed is ...

  20 -x . . . . miles per hour

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brilliants [131]

Answer: It is B)

Step-by-step explanation: It was 8.66 something and that rounded to the nearest tenth is 8.7

7 0
3 years ago
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Jack can text 180 words in 2 minutes and 45 seconds. What is his unit rate in texts per second?
grigory [225]

Answer: 1.091 which is approximately 1 word per second

Step-by-step explanation:

Jack can text 180 words in 2 minutes and 45 seconds. We would convert 2 minutes to seconds

60 seconds = 1 minute

x seconds = 2 minutes

x = 2×60 = 120 seconds

2 minutes 45seconds = 120+45 = 165 seconds

This means Jack can text 180 words in 165 seconds

Let's find his unit rate in texts per second

if jack texts 180 words in 165 seconds

Then jack texts y words in 1 second

165y = 180

y = 180/165= 1.091 words per second

This is approximately 1 word per second

7 0
3 years ago
Use the "rule of 72" to estimate the doubling time (in years) for the interest rate, and then calculate it exactly. (Round your
Law Incorporation [45]

Answer:

According to the rule of 72, the doubling time for this interest rate is 8 years.

The exact doubling time of this amount is 8.04 years.

Step-by-step explanation:

Sometimes, the compound interest formula is quite complex to be solved, so the result can be estimated by the rule of 72.

By the rule of 72, we have that the doubling time D is given by:

D = \frac{72}{Interest Rate}

The interest rate is in %.

In our exercise, the interest rate is 9%. So, by the rule of 72:

D = \frac{72}{9} = 8.

According to the rule of 72, the doubling time for this interest rate is 8 years.

Exact answer:

The exact answer is going to be found using the compound interest formula.

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

In which A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

So, for this exercise, we have:

We want to find the doubling time, that is, the time in which the amount is double the initial amount, double the principal.

is double the initial amount, double the principal.

A = 2P

r = 0.09

The interest is compounded anually, so n = 1

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

2P = P(1 + \frac{0.09}{1})^{t}

2 = (1.09)^{t}

Now, we apply the following log propriety:

\log_{a} a^{n} = n

So:

\log_{1.09}(1.09)^{t} = \log_{1.09} 2

t = 8.04

The exact doubling time of this amount is 8.04 years.

4 0
4 years ago
Find the volume of the cylinder if the height is 3 mm and the diameter is 40 mm. Leave the answer in terms of it.
KiRa [710]

The Volume of cylinder is 3770 cubic millimeters

But, the correct option is not available in options given.

Step-by-step explanation:

Height of cylinder = 3mm

Diameter of cylinder = 40mm

Volume of cylinder = ?

The formula used to find Volume of cylinder is:

Volume = \pi r^2h

Putting values in the formula:

Since we need radius,

radius = diameter/2

radius = 40/2

radius = 20 mm

So,

Volume = \pi r^2h\\Volume = 3.14*(20)^2*3\\Volume = 3.14*400*3\\Volume= 3769.91 or \,\,\,Volume\approx 3770\,\,cubic\,\,millimeters

The Volume of cylinder is 3770 cubic millimeters

But, the correct option is not available in options given.

Keywords: Volume of cylinder

Learn more about Volume of cylinder at:

  • brainly.com/question/12497249
  • brainly.com/question/6443737
  • brainly.com/question/12613605

#learnwithBrainly

6 0
4 years ago
PLEASE HELP!! will be marked brainliest!!
Arturiano [62]

Answer:

yup and yup

Step-by-step explanation:

also 1. is                yup and yup

7 0
3 years ago
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