A laptop has a listed price of 693.95 before tax. If the sales tax rate is 9.5%, find the total cost of the laptop with sales tax included

Answers

Answer 1

Answer: 693.95*1.095= 759.87525

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The path traveled by a bottlenose dolphin as it jumps out of water is modeled by the equation y = −0.4x2 + 3x, where y is the height above water and x is the horizontal distance in feet. If a beam of light is shone upward at an angle modeled by the equation x + y = 10, at what height from the water's surface will the beam of light hit the dolphin?A)2.7 feetB)3 feet C)5 feetD)5.6 feet

The average number of customers that visited a particular store during the past year is 160 per day and a standard deviation of 25 customers per day. A random sample of 64 days is chosen from this population. The standard deviation of the sample mean equals ...

Answers

the standard of the Sample means 256

A rectangle has an area of 40 square units. The length is 6 units greater than the width.

Answers

Let

x------> the length of the rectangle

y------> the width of the rectangle

A-----> area of the rectangle

we know that

The area of rectangle is equal to

$A=x*y\nA=40\ units^(2)$

$40=x*y$ --------> equation $1$

$x=6+y$ --------> equation $2$

Substitute equation $2$ in equation $1$

$40=[6+y]*y\n 40=6y+y^(2) \ny^(2) +6y-40=0$

using a graph tool-----> to resolve the second order equation

see the attached figure

the solution is

$y=4$

Find the value of x

$x=6+y\n \n x=6+4=10\ units$

therefore

the answer is

The length of the rectangle is equal to $10\ units$

The width of the rectangle is equal to $4 \ units$

possible dimensions:
40 x 1
20 x 2
4 x 10
5 x 8

since 10 is 6 more than 4, the length is 10 and the width is 4

Given the function f(x) = -4x² + 7x, find f(5).

Answers

Answer:

f(5) = -65

Step-by-step explanation:

f(x) = -4x² + 7x f(5)

f(5) = -4(5)² + 7(5)

f(5) = -4(25) + 35

f(5) = -100 + 35

f(5) = -65

7-3y=y-6(2+1/2y) how do I solve for y

Answers

-3y + 7 = y - 6(¹/₂y + 2)
-3y + 7 = y - 6(¹/₂y) - 6(2)
-3y + 7 = y - 3y - 12
-3y + 7 = -2y - 12
+ 3y + 3y
       7 = y - 12
      + 12     + 12
      19 = y

Write 3.25 x 10^4 as a ordinary number