the table shows the cost of the daycare for Lucy's dog this week her dog went 3 full days of day care and 2 half days of day care write an expression for the total cost of this week day care then evaluate the expression

The compound interest when $7300 when interest is compounded semi annually is $2482.70.

The compound interest when $7300 when interest is compounded monthly is $1972.73.

An investment earns compound interest when both the amount invested and the interest accrued increases in value at predetermined time intervals.

The formula to represent compound interest is :

FV - amount invested

FV = P (1 + r)^nm

a. 7300 x [1 + (0.1/2)]^(3 x 2) = 9782.70

Compound interest = 9782.70 = 7300 = $2482.70

b. 7300 x [1 + (0.08/12)]^(12 x 3) = 9272.73

9272.73 - 7300 = $1972.73

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The equivalent expression of [tex]\frac{7^5}{7^2}[/tex] is [tex]\frac{7*7*7*7*7}{7*7}[/tex]

The expression is given as:

[tex]\frac{7^5}{7^2}[/tex]

Expand the numerator and the denominator

[tex]\frac{7^5}{7^2} = \frac{7*7*7*7*7}{7*7}[/tex]

The above expression is represented by option (d)

Hence, the equivalent expression of [tex]\frac{7^5}{7^2}[/tex] is [tex]\frac{7*7*7*7*7}{7*7}[/tex]

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Answer:

StartFraction 7 times 7 times 7 times 7 times 7 Over 7 times 7 EndFraction

Step-by-step explanation:

Edge

Answer:

w + 10 = 40

Step-by-step explanation:

10 more than w is w + 10 is equal to 40 is =40

w + 10 = 40

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Answer:

Step-by-step explanation:

10 more than w is equal to 40 what is the expression

10 + w = 40                 is the expression

w = 40 - 10

w = 30                        is the solution

Answer:

First, multiply 5 and 8. That equals 40. Then you take the square root of 40, which doesn't result in a whole number, so you factor 40 and removing perfect squares. In which case the answer would be 2√10

Answer: Hope this helps you.

-2

Step-by-step explanation:

y = mx+b (B is y-int)

y = 4^x-2

-2 is clearly replacing the b (y-int) meaning b, the y-int, is -2

[tex]y = {4}^{x} - 2 \\ for \: y \: intercept \: x \: s \\ is \: 0 \\ y = {4}^{0} - 2 \\ y = 1 - 2 \\ y = - 1 \\ [/tex]

Y intercept : (0,-1)

Hope it helps

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Answer:

16 Tablespoons

Step-by-step explanation:

Answer:

3.287 Customers

Step-by-step explanation:

Interarrival time (a) = 60 seconds per minute / 190 customers per minute = 0.316 seconds.

Utilization = p / (a × m) = 2 / (0.316 × 8) = 0.792.

Number in queue = Tq / a = 1.038 / 0.316 = 3.287 customers.

The domain and range of the functions sin x, cos x, and tan x will be (-∞, ∞) and [-1, 1], (-∞, ∞) and [-1, 1], and R - (2n + 1)π/2 and (-∞, ∞) respectively.

The domain means all the possible values of x and the range means all the possible values of y.

The three restricted functions are given below.

f(x) = sin (x)

f(x) = cos (x)

f(x) = tan (x)

Then the domain of the three restricted functions will be

The domain of sin x will be (-∞, ∞).

The domain of cos x will be (-∞, ∞).

The domain of tan x will be R - (2n + 1)π/2.

Then the range of the three restricted functions will be

The range of sin x will be [-1, 1].

The range of cos x will be [-1, 1].

The range of tan x will be (-∞, ∞).

The graph is given below.

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i beleive the answer is 2610.4109589

Answer:

a

b

b

:)

Step-by-step explanation:

hi brother i have got the answer hope its correct

Answer:

  B.  A pair of intersecting lines

Step-by-step explanation:

The attached image can give you an idea of what you get when a plane perpendicular to the base of a cone intersects the vertex of the cone.

__

In the problem statement here, we assume a double-napped cone with no defined base. That means the lines of intersection with the sides of the cone will meet at the vertex point and extend indefinitely in either direction.

The intersection is a pair of intersecting lines.

The length of the band in terms of π is given by the expression:

L = 40mm + π*10mm

Remember that for a circle of diameter D, the circumference is:

C = π*D.

Now, if you look at the image, you can see that the length of the band will be equal to 4 times the diameter of the pencils (one time for each side). Plus 4 times one-fourth of the circumference of each pencil (for the four corners).

because the diameter is 10mm, the length of the band will be:

L = 4*10mm + 4*(π*10mm/4)

L = 40mm + π*10mm

This is the length of the band in terms of π.

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Answer:

y = -x - 5

Step-by-step explanation:

The general structure of a line in slope-intercept form is:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept.

Since you have been given the slope and y-intercept, you can substitute these values into the equation to find the answer.

m = -1                  

b = -5

y = mx + b

y = (-1)x + (-5)

y = -x - 5

Answer:

y = -x -5

Step-by-step explanation:

We can use y = mx + c to find the equation of the line.

Here,

m ⇒ slope of the line

c ⇒ y - intercept

They have already given that,

m ⇒ -1

c ⇒ -5

So, now we can write the equation of the line like this.

To write the equation of the line you can replace m and c with -1 & -5 respectively.

Let us write now.

y = m x + c

y = -1x - 5

Answer:

3.9m x 4.8m

Step-by-step explanation:

1 cm = 1.5m

→ Multiply both sides by 2.6

2.6 cm = 3.9m

→ Multiply from the original statement, both sides by 3.2

3.2 cm = 4.8 m

→ Combine them

3.9m x 4.8m

Answer:

9

Step-by-step explanation:

Given expression: 4x - 7

To determine a numerical value of the provided expression, when x = 4, simply substitute the value of x into the expression and simplify it using the order of operations (PEMDAS). Work has been shown below.

The PEMDAS stands for:

According to the PEMDAS, it is required to simplify the expression using multiplication (M in PEMDAS) firsthand, as there are no parentheses (P in PEMDAS) and exponents (E in PEMDAS). Thus, we get the following:

Please refer to underlined text for simplification of that expression.

Clearly, we can see that division (D in PEMDAS) and addition (A in PEMDAS) is not occurring in the expression. Therefore, we will need to subtract the two terms (16 and 7). Thus, we get the following simplified term:

Therefore, the value of 4x - 7, when x = 4, is 9.

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Answer:

The LCM of 16x^2 and 40x^2 is 80x^5

:) Good Luck

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Sine function would be easiest

  in a right triangle   sin = opposite leg / hypotenuse

sin 57 =   10.8 / x    

then   x = 10.8 / sin 57               then x = 12.88 units

Answer:

8

Step-by-step explanation:

each times she draws there is 3 blue marbles that she can pick so her chance of picking one blue marble out of the box is 3/8 hope i helped!

Answer: 3/8

Step-by-step explanation:

Answer:

-13/20

Step-by-step explanation:

-0.65 can be written as -65/100. To simplify, divide both numerator and denominator with 5. 65/5=13.  100/5=20

And you get -13/20 for your answer.

Answer:

√ (p(1-p) / n)

Step-by-step explanation:

Standard Error(SE) of the Sample Proportion: √ (p(1-p) / n). Note: as the sample size increases, the standard error decreases.

Hope this helps you! Feel free to give feedback

Marcella won't be able to win the competition because the length of the rope is less than 162 feet.

How to find the sides of a right angle triangle?

The situation forms a right angle triangle.

The kite released rope is the hypotenuse side of the triangle formed.

The opposite side of the triangle is the height of the kite from the ground.

Therefore,

sin 28 = opposite / hypotenuse

sin 28 = 75 / h

h = 75 / sin 28

h = 75 / 0.46947156278

h = 159.754085116

h ≈ 160 feet

Therefore, she won't be able to win the competition because the length of the rope is less than 162 feet.

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Step-by-step explanation:

So the question is easy ....The thing that you need to do here is ...You should divide area by length....and you will get your answer....

Area of rectangular parking lot = 7081 m²

length of parking lot = 97 m

Width = ?

Now,

Area = l × b

7081 = 97 × b

7081 / 97 = b

b = 73 m

Hence the width is 73 m....

A triangle is a 2-D shape that has 3 sides and angles. The area of the triangle below is 27 square units

A triangle is a 2-D shape that has 3 sides and angles

In order to determine the area of the shape, we will determine the area of the square circumscribing it first;

Area of the square = 10 * 9 =90 square units

Find the area of the two right triangles

Area of the right triangles = 0.5(10 * 9) + 0.5(9 * 4)

Area of the right triangles = 45 + 18

Area of the right triangles = 63 square units

Take the difference

Area of the given triangle  = 90 - 63 = 27 square units

Hence the area of the triangle below is 27 square units

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Answer:

y = 130

Step-by-step explanation:

given that y varies directly with x and z then the equation relating them is

y = kxz ← k is the constant of variation

to find k use the condition y = 150 when x = 2.5 and z = 12 , then

150 = k × 2.5 × 12 = 30k ( divide both sides by 30 )

5 = k

y = 5xz ← equation of variation

when x = 4 and z = 6.5 , then

y = 5 × 4 × 6.5 = 20 × 6.5 = 130

Answer:

Step-by-step explanation:

400: 100 you find 1% you multiply it by 20 and you have 20%

400 : 100 * 20 =

4 * 20 =                                    

Using the Law of Cosines,

[tex]c^{2}=2^{2}+4^{2}-2(2)(4)(\sin 30^{\circ})\\\\c^{2}=12\\\\c=2\sqrt{3}[/tex]

Using the Law of Sines,

[tex]\frac{\sin A}{a}=\frac{\sin C}{c}\\\\\frac{\sin A}{2}=\frac{\sin 30^{\circ}}{2\sqrt{3}}\\\\\frac{\sin A}{2}=\frac{1}{4\sqrt{3}}\\\\\sin A=\frac{1}{2\sqrt{3}}\\\\A=\boxed{\sin^{-1} \left(\frac{1}{2\sqrt{3}} \right)}[/tex]

So, as angles in a triangle add to 180 degrees,

[tex]B=180^{\circ}-30^{\circ}-\sin^{-1} \left(\frac{1}{2\sqrt{3}} \right)\\\\B=\boxed{150^{\circ}-\sin^{-1} \left(\frac{1}{2\sqrt{3}} \right)}[/tex]

Answer: (0,-1)

Step-by-step explanation:

Let's start with the first inequality, [tex]y < -x^{2}+x[/tex]. To check which points satisfy this inequality, we can substitute the x- and y-coordinates and see if they satisfy the inequality.

Once again, we can repeat this for the second inequality (but this time, we only need to check the points that satisfy the first inequality).

Therefore, the answer is (A) (0, -1).