.215215215... as a fraction

You are given that a wheel has a radius of 2 feet and a spin rate of 10 revolutions per minute. Describe how you would determine

igomit [66]

Answer:

2.09.ft/min

Step-by-step explanation:

There is a formula for the linear velocity using rpm:

V = (2π)/60 * r * rpm

V = (2π)/60 * 2ft * 10 = 2.09ft/min

4 0

2 years ago

Read 2 more answers

A student wants to compare textbook prices for two online bookstores. She takes a random sample of five textbook titles from a l

gregori [183]

Answer:

Dependent sample: The same textbook are being compared.

Step-by-step explanation:

We are given the following in the question:

A student wants to compare textbook prices for two online bookstores.

Sample 1 from bookstore A:

$115, $43, $99, $80, $119

Sample 2 from bookstore B:

$110, $40, $99, $69, $109

Dependent and independent sample:

Dependent samples are paired observations for same set of items.
Independent samples are observations made on two different sets of items.
If the values in one sample affect the observations in the other sample, then the samples are dependent.
If the values in one sample have no effect about those of the other sample, then the samples are independent.

Thus, the given sample is dependent sample as the same textbook is being compared from two different bookstore.

5 0

3 years ago

How do you factor 4x²+28x <br>

Yuri [45]

$4 {x}^{2} + 28x \\ \\ 4x(x + 7)$

5 0

2 years ago

Will mark the brainiest! What are the coordinates of the vertex of the graph of f(x)=−3|x−1|?

AleksAgata [21]

Answer:

well, the cheap answer is

f(x) = -3| x - 1 | is really just f(x) = -3| x - 1 | + 0.

now, what value of "x" makes the absolute value expression to 0?

well, let's just set it to 0 and check,

x - 1 = 0

x = 1

so if "x" ever becomes 1, the | x - 1| will turn to 0, therefore, the vertex is at

f(x) = -3| (1) - 1 | + 0 --------------> ( 1, 0 )

6 0

2 years ago

CarcuratOS 11.A credit card charges an annual rate of 18% compounded monthly. This month's bill is Rs. 35,000... Suppose that yo

ZanzabumX [31]

Answer:

FIRST QUESTION

It will pay the bill after 7.45 = rounding 8 months, being the last payment less than 5,000

The total interest for the period will be 2,263.04

SECOND QUESTION The rate will be 6%

Step-by-step explanation:

for the first part, we should calculate the time it takes to an ordinary annuity of 5,000 to have a present value of 35,000 at discount rate of 18%

$C \times \frac{1-(1+r)^{-time} }{rate} = PV\\$

C 5,000

time n

rate 0.015

PV $35,000.0000

$5000 \times \frac{1-(1+0.015)^{-n} }{0.015} = 35000\\$

We work out the formula:

$(1+0.015)^{-n}= 1-\frac{35000\times0.015}{5000}$

We solve the right side of th formula

and then apply logarithmics properties:

$-n= \frac{log0.895}{log(1+0.015)$

-n = -7.450765527

n = 7.45

It will pay the bill after 8 months.

Total Interest: we will build the loan schedule:

Bill Interest Cuota&Amortization

1 35000 525& 5000 4475

2 30525 457.88 5000 4542.12

3 25982.88 389.74 5000 4610.26

4 21372.62 320.59 5000 4679.41

5 16693.21 250.4 5000 4749.6

6 11943.61 179.15 5000 4820.85

7 7122.76 106.84 5000 4893.16

8 2229.6 33.44 2263.04 2229.6

Total 2263.04 37263.04 35000

The total interest for the period will be 2,263.04

<u>Second question </u>we will solve for the rate at which a capital of 3,000 returns 5,372.54 after 10 years

$Principal \: (1+ r)^{time} = Amount$

Principal 30,00.00

Amount = 5,372.54

time 10.00

rate ?

$3,000 \: (1+ r)^{10} = 5,372.54$

$r = \sqrt[10]{5,372.54/3,000} - 1$

r = 0.059999939 = 0.06 = 6%

4 0

3 years ago