Evaluate:<br> Σ10, 8(27-1) =

A person on tour has dollar 360 for his daily expenses. If he extends his tour for 4 days, he has to cut down his daily expenses

Greeley [361]

Answer:

The original duration of the tour is 18 days.

Step-by-step explanation:

Let

the number of days spent be T

Daily expenses be D

Initially ,

total tour expenses was 360

$D \times T=360$

$D = \frac{360}{T}$ -------------(1)

If he extends his tour for 4 days, he has to cut down his daily expenses by dollar 3

$(D + 4) \cdot(T -3) = 360$ ---------------(2)

Expanding the eqaution(2)

DT-3D + 4T -12 = 360

Substituting the value of D

$(\frac{360}{T})T -3( \frac{360}{T}) + 4T -12 = 360$

$(\frac{360}{T})T -3( \frac{360}{T}) + 4T= 360 + 12$

$(\frac{360}{T})T -3( \frac{360}{T}) + 4T= 372$

$360 - ( \frac{1080}{T}) + 4T= 372$

$( \frac{1080}{T}) + 4T= 372 - 360$

$( \frac{1080}{T}) + 4T= 12$

$1080 + 4T^2= 12T$

Solving the quadratic equation we get

T = 18 and T = -15

T is the number of gays and it cannot be negative , hence T is 18

Substituting in equation (1) we get

$D = \frac{360}{18}$

D = 20

4 0

3 years ago

Lori buys a $1500 certificate of deposit (CD) that earns 6% interest that compounds monthly. How much will the CD be worth in:

Studentka2010 [4]

Answer:

$1500

6% interest

use the formula...

P(1+(r/100))^n

where P=initial amount

r=interest rate

t=time period elapsed

so ... for 5 years we get

$1500(1+(6/100))^5 = $1500(1.06)^5 = 2007.3383664

for 10 years

1500(1.06)^10 = 2686.271544814228043264

468 months = 39 years

1500(1.06)^39=14555.261231781943250017719606544

3 0

3 years ago

Read 2 more answers

Which value, when placed in the box, would result in a system of equations with infinitely many solutions? y = -2x 4 6x 3y =

wariber [46]

The missing value is 12 in a system of equations with infinitely many solutions conditions.

It is given that in the system of equations there are two equations given:

$\rm y =n -2x+4\\\rm and \\\rm 6x+3y= ?$

It is required to find the missing value in the second equation.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

We have equations:

$\rm y = -2x+4 ....(1)\\ \\\rm 6x+3y= ? ....(2)$

Let's suppose the missing value is 'Z'

We know that the two pairs of equations have infinitely many solutions if and if they have the same coefficients of variables and the same constant on both sides.

From equation (1)

$\rm y = -2x+4 \\\\\rm 2x+y=4$ (multiply both the sides by 3)

$\rm 6x+3y=12$ ...(3)

By comparing the equation (2) and (3), we get

M = 12

Thus, the missing value is 12 in a system of equations with infinitely many solutions conditions.

Learn more about the linear equation.

brainly.com/question/11897796

8 0

2 years ago

A bag contains 100 cubes that are black, yellow, and white. A student randomly selects a cube without looking and replaces it in

I am Lyosha [343]

Answer:

The answer is..

A) 45 black cubes

B) 20 yellow cubes

E) 35 white cubes

Step-by-step explanation:

4 0

3 years ago

Help 10 POINTS MATH IS NOT MY STRONG SUIT

Masja [62]

Answer:

infinite number of solutions

Step-by-step explanation:

Work with the second equation. Subtract 8x from both sides.

- 4y + 8x - 8x = -8x - 12 Collect like terms.

-4y = - 8x - 12 Divide by - 4

-4y/-4 = - 8x/-4 - 12/-4

y = 2x + 3

That is exactly the same line as the first given. There is an infinite number of solutions.

6 0

3 years ago

Evaluate: Σ10, 8(27-1) =