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Murljashka [212]

3 years ago

10

Kayaks rent for $35 per day. Write an expression using the Distribbutive Property that can help you find the cost in dollars of

renting 3 kayaks for a day.

1 answer:

PSYCHO15rus [73]3 years ago

3 0

5 x 3 = 15
30 x 3 = 90
15+90=105
so that person paid $105 for that day

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A bag contains 3 red marbles 4 blue marbles and 7 Green marbles if two marbles are drawn out of the bag what is the probability

mr_godi [17]

Answer:

0.368

Step-by-step explanation:

Number of red marbles= 3

Number of blue marbles= 4

Number of green marbles= 7

Total number of marbles= 3+4+7= 14

Let the first ball is taken out to be red

P(R)= $\frac{3}{14}$

than again a second ball is drawn, number of balls left= 14-1=13

Number of red= 2

P(R)= $\frac{2}{13}$

Total probability= $\frac{3}{14}$ + $\frac{2}{13}$

Total probability= 0.368

Hence, the correct answer is 0.368

3 0

3 years ago

Find the integration of (1-cos2x)/(1+cos2x)

slega [8]

Given:

The expression is:

$\dfrac{1-\cos 2x}{1+\cos 2x}$

To find:

The integration of the given expression.

Solution:

We need to find the integration of $\dfrac{1-\cos 2x}{1+\cos 2x}$ .

Let us consider,

$I=\int \dfrac{1-\cos 2x}{1+\cos 2x}dx$

$I=\int \dfrac{2\sin^2x}{2\cos^2x}dx$ $[\because 1+\cos 2x=2\cos^2x,1-\cos 2x=2\sin^2x]$

$I=\int \dfrac{\sin^2x}{\cos^2x}dx$

$I=\int \tan^2xdx$ $\left[\because \tan \theta =\dfrac{\sin \theta}{\cos \theta}\right]$

It can be written as:

$I=\int (\sec^2x-1)dx$ $[\because 1+\tan^2 \theta =\sec^2 \theta]$

$I=\int \sec^2xdx-\int 1dx$

$I=\tan x-x+C$

Therefore, the integration of $\dfrac{1-\cos 2x}{1+\cos 2x}$ is $I=\tan x-x+C$ .

8 0

3 years ago

You want to purchase a house in 10 years. You estimate the cost will be $184,500.00. You want to make a 20% down payment and pay

Ilia_Sergeevich [38]

Use the formula of the future value of annuity ordinary and solve for pmt
First deducted the amount of down payment
184,500−184,500×0.20=147,600

Pmt=147,600÷(((1+0.085
÷12)^(12×10)−1)÷(0.085÷12))
=784.53 per month

5 0

3 years ago

PLEASE CHECK AND SEE IF I'M CORRECT!!! <br> CORRECT ANSWERS ONLY PLEASE!!!

jeka57 [31]

BD is right but PA is wrong, would be BD and MK.

5 0

3 years ago

A credit union client deposits $3,300 in an account earning 6.5% interest, compounded annually. What will the balance of the acc

astra-53 [7]

Answer:

The balance of account at the end of 36 years is $31,849.29

Step-by-step explanation:

We are given the following in the question:

P = $3,300

r = 6.5% = 0.065

t = 36 years

The compound interest is given by:

$A = p\bigg(1+\dfrac{r}{n}\bigg)^{nt}$

where A is the amount, p is the principal, r is the interest rate, t is the time in years and n is the nature of compound interest.

Since interest is compounded annualy we use n = 1

$A = 3300\bigg(1+\dfrac{0.065}{1}\bigg)^{36}\\\\A = \$31,849.29$

Thus, balance of account at the end of 36 years is $31,849.29

6 0

3 years ago