The Hu family goes out for lunch, and the price of the meal is $41. The sales tax on the meal is 7%, and the family also leaves a 20% tip on the pre-tax amount. What is the total cost of the meal?

Answer:

P will remain the same

Step-by-step explanation:

Given

[tex]V(t) = P(1 + r)^t[/tex] --- Coin value formula [Missing from the question]

Required

What happens to p when r increases

The coin value function is an exponential function which is of the general  form:

[tex]y = a(1 + b)^x[/tex]

From the given function: [tex]V(t) = P(1 + r)^t[/tex]

P represents the initial value and r represents the rate

The rate of change (r) and the initial value (P) of a function are both independent, and they do not depend on one another for their values.

An increment or decrement in r will not affect the value of P.

Conclusively, when the rate (r) changes, the initial value (P) will remain the same.

Answer:

2

Step-by-step explanation:

the radius is half the diameter from the middle!

Answer:

a: 24 cm

b: 101 m

c: 1.46 mm

Step-by-step explanation:

Formula: d=2r

a: 12*2=24 cm

b: 50.5*2=101 m

c: 0.73*2=1.46 mm

Answer:

[tex] \huge \boxed{ \boxed{ \tt - 5 {x}^{2} + 27 x- 2}}[/tex]

Step-by-step explanation:

[tex] step - 1 : define[/tex]

A-5B=2x+3-5(x²-5x+1)

[tex]step - 2 : solve[/tex]

and

we are done

Answer:

a) c

b) 62

Step-by-step explanation:

He is correct because the Median weight is 56 grams.

Option C is the correct answer.

The range of weights of Felipe's tomatoes is 62.

The interquartile range of weights of Felipe's tomatoes is 44 grams.

It is the middle value of the given set of numbers after arranging the given set of numbers in order.

We have,

From the box plot,

Median = 56 grams

Now,

The statement that Felipe describe is correct because the median weight of 56 grams.

The range of the weights of the tomatoes.

= Highest value - Lowest value

= 78 - 16

= 62

The interquartile range of weights of Felipe's tomatoes.

= Upper quartile - Lower quartile

= 72 - 28

= 44 grams

Thus,

Median weight = 56 grams.

Range = 62

Interquartile range = 44 grams.

Learn more about median here:

https://brainly.com/question/28060453

#SPJ2

Answer:

49 stones

Step-by-step explanation:

Write the following proportion based on the given ratio of marbles (m) to stones (s), and naming the unknown number of stones to find, with the letter "X":

6 m / 7 s = 42 m / X s

cross multiply to get the unknown in the numerator:

6 * X = 42 * 7

divide both sides by 6 to isolate X entirely on the left of the equal sign

X = ( 42 * 7 ) / 6

X = 49

Therefore, there are 49 stones

Answer:

yes

Step-by-step explanation:

Answer:

B or C

Step-by-step explanation:

Answer:

16, 10, 0

You plug in the x into the function

Answer:

48

Step-by-step explanation:

Answer:

B, 2%

Step-by-step explanation:

Answer:

The height of the tree is approximately 71.5 feet

Step-by-step explanation:

The given parameters are;

The angle of elevation to see the top pf the tree = 50°

The distance Peggy is laying from the base of the tree = 50 ft.

In order to answer the question using trigonometric ratio, we assume that the angle the tree makes with the ground is 90° that is the tree is perpendicular to the ground

Therefore, the line of sight to the top of the tree,  the height of the tree, and the distance from the base of the tree where Peggy is laying, forms a right triangle

Let, 's', represent the line of sight to the top of the tree, let 'h', represent the height of the tree, and let, 'd', represent the distance from the base of the tree where Peggy is laying

The third angle, θ, of the right triangle opposite 'd' is given by angle sum theorem of a triangle as follows;

θ = 180° - 90° - 50° = 40°

θ = 40°

By sine rule we have;

h/sin(50°) = d/(sin θ)

∴ h/sin(50°) = 60 ft./(sin 40°)

h = sin(50°) × 60 ft./(sin 40°) = 71.5052156 ft.

∴ The height of the tree, h ≈ 71.5 ft. by rounding to the nearest tenth

Answer:

I think it's 2-3, but I'm not sure.

Step-by-step explanation:

Sorry if I get it wrong

Answer:

7..the way you worded the options was confusing

Answer:

(4,10)

Step-by-step explanation:

Well, you just count each unit coming from the x-axis up and then do the same for the y axis going to the right. You can also see that the graph is counting by 2 if you look at the "O" coordinate

Answer:

2.5 cm is the radius

Step-by-step explanation:

Answer:

Step-by-step explanation:

Less than 0.84

Step-by-step explanation:

   Convert all numbers to decimals

   85% --> 0.85

   0.88 --> 0.88

   21/25 --> 0.84

Since these are the top three, the rest of the competitors are less than 0.84.

Answer:

y = 18/5(11)

Step-by-step explanation:

If y varies directly as x, this is expressed as;

y∝x

y = kx

k is the constant of proportional constant

if y = 18 and x = 5

18 = 5k

k = 18/5

to get the expression that can be used to find the value of y when x is 11

y = kx

y = 18/5(11)

This gives the required expression

Answer:

The original price of the books were $9.

Step-by-step explanation:

%100 - %30 = %70

%70 = 0.7

$6.30 ÷ 0.7 = $9

Answer:

[tex] {4}^{2} + {3}^{2} = 16 + 9 = \sqrt{25} = 5[/tex]

Answer:

There are 60 tech workers altogether

Step-by-step explanation:

Let X be the total number of tech workers in the company

Out of X tech employees, 20 % applied for leaves

In totality, 12 tech employees are on leave

Thus,

[tex]\frac{20}{100} * X = 12[/tex]

On solving the above mathematical equation, we get -

[tex]X = \frac{12*100}{20} \\X = 60[/tex]

Hence, there are 60 tech workers altogether

Answer:

7q-35

Step-by-step explanation:

Answer:

315m ^3

Step-by-step explanation:

make sure you put the exponent !!

Answer:

2000

Step-by-step explanation:

S.I=P×rate / 100×time

30000×8 / 100×5/6

=2000

Answer: The angle ∠ PBC is 63°.

Step-by-step explanation:

Given: Point P is in the interior of ∠ABC.

∠ ABC = 125°

∠ABP= 62°

To find : ∠ PBC

Since P is in the interior of ∠ABC.

Then

∠ ABC = ∠ABP + ∠ PBC

⇒ 125°= 62°+ ∠ PBC

⇒ ∠ PBC= 125° - 62°

⇒ ∠ PBC= 63°

Hence, the angle ∠ PBC is 63°.

Answer:9ft

Step-by-step explanation:

Answer: what the question

Step-by-step explanation: