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3 years ago

Is 0.71711... a rational number or irrational?

Mathematics

2 answers:

Dima020 [189]3 years ago

6 0

Answer:

it is an irrational number

trapecia [35]3 years ago

3 0

Answer:

Irrational Number

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John di Silvestre obtained a loan to buy a cello for $8,400. He pays 12% exact interest on the loan for 146 days. What is the am

Svetradugi [14.3K]

Normally when they tell you interest rate they say per annum meaning the percent interest rate for a year.

But in this problem they seem to say John pays 12% for a 146 day loan.

So interest = P * r / 100 = 8400 * 12/100 = $1,008.00
Maturity value = Principal + Interest = 8400 + 1008 = $9,408.00

7 0

3 years ago

Help and I’ll give brainliest

Vaselesa [24]

Answer:

They purchased 11 Packets

Step-by-step explanation:

C=11p + 30

6 0

3 years ago

Could someone show me how to multiply these

mel-nik [20]

Answer:

A.2304

B.5625

C.6776

Step-by-step explanation:

The easiest way to show you is by using calculator. If you can't, try using Khan Academy if you want.

6 0

3 years ago

The voltage V in a simple electrical circuit is slowly decreasing as the battery wears out. The resistance R is slowly increasin

hoa [83]

Answer:

$\frac{dI}{dt}=-0.00016 A/s$

Step-by-step explanation:

We are given that

By ohm's law

$V=IR$

R=389 ohm

I=0.03 A

$\frac{dV}{dt}=-0.06V/s$

$\frac{dR}{dt}=0.07ohm/s$

We have to find rate of change of current I means $\frac{dI}{dt}$

Differentiate the equation w.r.t t

$\frac{dV}{dt}=\frac{dI}{dt}R+I\frac{dR}{dt}$

Substitute the values then we get

$-0.06=\frac{dI}{dt}\times 389+0.03\times 0.07$

$-0.06=389\frac{dI}{dt}+0.0021$

$-0.06-0.0021=389\frac{dI}{dt}$

$-0.0621=389\frac{dI}{dt}$

$\frac{dI}{dt}=\frac{-0.0621}{389}=-0.000160 A/s$

Hence, the current I is changing at the rate=-0.00016A/s

4 0

3 years ago

(K3+2k2-82k-28)/(k+10)

Ne4ueva [31]

So for this, we will be using synthetic division. To set it up, have the equation so that the divisor is -10 (since that is the solution of k + 10 = 0) and the dividend are the coefficients. Our equation will look as such:

(Note that synthetic division can only be used when the divisor is a 1st degree binomial)

-10 | 1 + 2 - 82 - 28
---------------------------

Now firstly, drop the 1:

-10 | 1 + 2 - 82 - 28
↓
-------------------------
1

Next, you are going to multiply -10 and 1, and then combine the product with 2.

-10 | 1 + 2 - 82 - 28
↓ - 10
-------------------------
1 - 8

Next, multiply -10 and -8, then combine the product with -82:

-10 | 1 + 2 - 82 - 28
↓ -10 + 80
-------------------------
1 - 8 - 2

Next, multiply -10 and -2, then combine the product with -28:

-10 | 1 + 2 - 82 - 28
↓ -10 + 80 + 20
-------------------------
1 - 8 - 2 - 8

Now, since we know that the degree of the dividend is 3, this means that the degree of the quotient is 2. Using this, the first 3 terms are k^2, k, and the constant, or in this case k² - 8k - 2. Now what about the last coefficient -8? Well this is our remainder, and will be written as -8/(k + 10).

Putting it together, the quotient is $k^2-8k-2-\frac{8}{k+10}$ 

8 0

3 years ago