All categories

3 years ago

A. Original Price: $16.20

Mathematics

1 answer:

Tom [10]3 years ago

4 0

Answer:

The final price is $ 22.68 And Proportional constant is 1.4

Step-by-step explanation:

Given as :

The Original price = $ 16.20

The rate of increase = 40%

Let The final price = x

Now,

Final price after increase = initial price × ( 1 + $\frac{\textrm Rate}{100}$

Or. Final price after increase = $ 16.20 × ( 1 + $\frac{\textrm 40}{100}$

Or, Final price after increase = $ 16.20 × ( 1.4 )

∴ Final price after increase = $ 22.68

Now , Proportional constant = $\frac{22.68}{16.20}$

I.e Proportional constant = 1.4

Hence The final price is $ 22.68 And Proportional constant is 1.4 Answer

You might be interested in

A recent survey of 1090 U.S. adults selected at random showed that 623 consider the occupation of firefighter to have very great

REY [17]

Answer:

0.572

Step-by-step explanation:

From the question,

We have

n = 1090 of US adults

x = 623 selected from this population at random who consider the occupation to be one of great prestige

So we have that

The probability of X = x/n

= 623/1090

= 0.572

We conclude that 0.572 is the probability that a US adult selected at random thinks the occupation has great prestige.

7 0

3 years ago

H(x)=2x: Find (7) please help

erma4kov [3.2K]

Answer:

2(7) = 14

Step-by-step explanation:

When there is a number in the brackets, we want to input that into our function and get the output. In other words, we simply substitute 7 for x

2(7) = 14

3 0

3 years ago

PLEASE HELP!!!!!!!!!!!!!!

Alex17521 [72]

Answer:

angle = 50.8° (to the nearest tenth of a degree)

Step-by-step explanation:

In a right triangle:

The angle between the shorter leg and the hypotenuse is the larger acute angle of the triangle.
The angle between the longer leg and the hypotenuse is the smaller acute angle of the triangle.

We have been given the measures of the shorter leg and the hypotenuse, so the angle between them is the larger acute angle (which we need to find).

shorter leg = 3√6 cm

hypotenuse = 3√15 cm

So to find the angle, we need to use the trig ratio: $cos(\theta)=\frac{adjacent}{hypotenuse}$

If $\theta$ is the angle, then the short leg is the "adjacent" side to the angle and the "hypotenuse" is the hypotenuse.

Substituting the given values:

$cos(\theta)=\frac{3\sqrt{6} }{3\sqrt{15} }$

⇒ $\theta=arccos(\frac{3\sqrt{6} }{3\sqrt{15} })=50.76847952..$

Therefore, the angle = 50.8° (to the nearest tenth of a degree)

3 0

2 years ago

A pet store owner, Byron, needs to determine how much food he needs to feed the animals. Byron knows that he needs to order the

Ierofanga [76]

Number of dog food packages bought by Byron is 300

Step-by-step explanation:

Step 1: Given number of bird food packages = b. Find the number of packages for the other animal foods.

Number of hamster food packages = b.

Number of dog food packages = 4b

Number of cat food packages = 1/2 of 4b = 2b

Total food packages = 600

⇒ b + b + 4b + 2b = 600

⇒ 8b = 600

⇒ b = 600/8 = 75

Step 2: Calculate the amount of dog food

∴ 4b = 4 × 75 = 300

4 0

3 years ago

Read 2 more answers

If the expression below has a positive value which quality represents all possible values of X in the expression -3x

soldier1979 [14.2K]

X = all real numbers such that x < 0

This is true because if it yields a positive response, the only way that could be is by multiplying a negative by a negative.

4 0

3 years ago