Using the order of operations, what should be done first to evaluate (negative 4) squared + 6 divided by (negative 3 + 4) (2) minus 5? Subtract 5 from 2. Divide 6 by –3. Add –3 and 4. Multiply 4 and 2.

The rate of appreciation of the ring is approximately 6.52% per year.

How to find the rate of appreciation

We shall use the formula for simple interest to find the rate of appreciation:

Rate of appreciation = (Final value - Initial value / Initial value * Number of years) * 100

Given:

Final value = $1875

Initial value = $750

Number of years = 2024 - 2001 = 23 years

Let us plug the values into the formula:

Rate of appreciation = ($1875 - $750 / $750 * 23) *100

Rate of appreciation = $1,125/1,7250 * 100

Rate of appreciation ≈ 0.0652 * 100

Rate of appreciation ≈ 6.52%

Hence, the rate of appreciation of the ring is ≈ 6.52% per year.

The rate of appreciation is 150%.

To find the rate of appreciation, we'll use the formula for simple interest:

[tex]\[ \text{Simple Interest} = \frac{{\text{Final Value} - \text{Initial Value}}}{{\text{Initial Value}}}\times 100 \][/tex]

Given:

Initial value (purchase price) = $750

Final value (appraised price) = $1875

Substitute these values into the formula:

[tex]\[ \text{Simple Interest} = \frac{{1875 - 750}}{{750}} \times 100 \][/tex]

[tex]\[ = \frac{{1125}}{{750}} \times 100 \][/tex]

[tex]\[ = 1.5 \times 100 \][/tex]

[tex]\[ = 150\% \][/tex]

So, the rate of appreciation is 150%.

Answer:

B y = − 3 ( x + 1 ) ^2 + 8

Step-by-step explanation:

Hope it helps.

Answer:

It is an arithmetic sequence.

Step-by-step explanation:

64 - 7 = 57

121 - 64 = 57

178 - 121 = 57

We have a common difference of 57, so it is arithmetic.

The explicit formula for the nth term

= 7  +57(n - 1).

Step-by-step explanation:

The equation of the given graph for the function g(x) is [tex]f(x) = x^4 - x^2 -2[/tex]. so option D is correct. The graph of f(x) is shifted down by a factor of 2 on the y-axis.

The given graph  [tex]f(x)=x^4 -x^2[/tex] is shifted downwards on the y-axis.

And named g(x)

The shift in the y-axis is by 2 units

So,

g(x) = f(x) - 2

      = [tex]x^4-x^2-2[/tex]

Therefore, the equation of the given graph when shifted is [tex]g(x)=x^4-x^2-2[/tex]

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Answer: 38.5

Step by Step:  

First you need to find the radius of the smaller circle. 2

Add 2 to 1 and 1 half which gives you 3.5

Next multiply 3.5 by 3.5 that equals 12.25

Lastly times 12.25 by 3.14 and you get 38.5

Answer:

yes that the right answer

Answer:

24"

Step-by-step explanation:

Volume= length*width*height

4*3= 12

12*2= 24

Final answer:

To find the volume of a gift box, multiply its length, width, and height. For a box with dimensions 4x3x2 inches, the volume is 24 cubic inches.

Explanation:

Volume formula: Volume = length x width x height

Given dimensions: Length = 4 inches, Width = 3 inches, Height = 2 inches

Calculation: Volume = 4 inches x 3 inches x 2 inches = 24 cubic inches

Answer:

a) 1.892a

b.) 5.1x - 1.49y

1.) X = 0.36

2.) Y = 4.347

Car B went faster by 1.25 times

Step-by-step explanation:

a)2.15a+0.03∙(3.4a−12a)

Open the bracket

2.15a + 0.102a - 0.36a

2.252a - 0.36a

1.892a

b)3.27x+1.28y+1.83x−2.77y

Rearranged the algebraic expression above

3.27x + 1.83x + 1.28y - 2.77y

5.1x - 1.49y

1)22.5x−4.6=3.5

Collect the like term

22.5x = 8.1

X = 0.36

2)y÷2.3+5.69=7.58

Y/2.3 = 7.58 - 5.69

Y = 2.3 × 1.89

Y = 4.347

WORD PROBLEM: Car A went 60 km in 5/6 hours while car B went 54 km in 2/3 hours.

Which car was faster?

That's speed

Speed = distance/time

Speed A = 60 ÷ 5/6 = 72 km/h

Speed B = 54 ÷ 2/3 = 81 km/h

How many times faster? 

5/6 ÷2/3

5/6 × 3/2

15/12

1.25 seconds faster

Final answer:

There are 24 different winning scenarios possible in the family money game, calculated using permutations since the person in charge of choosing cannot win and there are three distinct prizes to be distributed among four participants.

Explanation:

The family money game presents a probability problem where one must calculate the number of different winning scenarios. Since there are five people including you, and you cannot win because you are the one choosing, you only need to consider the remaining four participants. Each person can win one of the three prizes - $1, $5 or $10 - since you won the $50 prize last time and you are exempt from winning again.

We need to look at the number of ways to arrange three distinct prizes among four people. This can be calculated using permutations where the order of assignment is important.

The formula for permutations is given as P(n, k) = n! / (n-k)!, where n is the total number, and k is the number to choose. In this case, n=4 (people) and k=3 (prizes). Hence, the calculation for permutations would be P(4, 3) = 4! / (4-3)! = (4 x 3 x 2 x 1) / 1 = 24.

Therefore, there are 24 different winning scenarios possible in this play of the money game.

complete question:

The green area in the figure above represents a section of grass for a putting green. Find the area of the sector of grass.

A. A= 32π ft²

B. A= 6π ft²

C. A= 36π ft²

D. A= 72π ft²

Answer:

C. A= 36π ft²

Step-by-step explanation:

The image below is where your question emanated. The area of the sector of grass can be calculated below.

Area of a sector = ∅/360 × πr²

where

∅ = angle from the center of the circle

r = radius

Area of a sector = ∅/360 × πr²

r = 12 ft

∅ = 90°

Area of a sector = 90/360 × π × 12²

Area of a sector = 90/360 × π × 144

Area of a sector = 1/4 × 144π

Area of a sector = 144π/4

Area of a sector = 36π ft²

Answer:

10

1 + 100 = 101

101 is between 10 and 11

10.04987

Step-by-step explanation:

Answer:

Is there a Picture or something to see

Step-by-step explanation:

Answer:

y= -1/3x + 1

Step-by-step explanation:

m= (-1-2)/(6-(-3)) = -1/3

-1= -1/3(6) + c

c=1

thus

y= -1/3x + 1

Answer:

The answer is 1. parallelogram

Step-by-step explanation:

There's a fact said that a rhombus is just a special paralleogram.

=> So that's means the answer is 1. parallelogram

Answer:

-4x + 5

Step-by-step explanation:

to be parallel, you need the same slope,

so it has to be -4x

and to go through the point (1,1) the y intercept has to be 5

because if you are using that slope, going down four and over one starting at (0,5) will connect the line to (1,1)

If it helps to draw it out or somehow visually see it, that would be a great idea

but in sum, the only answer is  y = -4x + 5

(i didn't see someone had already answered)

(but the answer above uses the slope of 2x and I am unsure why because it says -4x on your question)

(so I guess you could just look at both and see what you need :))

Answer:

12/60, 0.2, 20%

hope i was helpful :)

Answer:

2 books per month.

Step-by-step explanation:

For this, you will simply need to divide the total number of books by the amount of months.

10÷5= 2 books per month.

Natalie read two books for five months.

Divide.

Ten books divided by 5 months.

Find the answer. You get 2.

10 ÷ 5 = 2.

So, her rate of reading books per month was 2.

Hope this helps!

Answer:

C and A

Step-by-step explanation:

Step 5 is to ( C ) take the Square root of both sides

The radius of the cone is ( A ) 2 inches

The radius of the cone is 2 inches.

The volume of a cone is determined by the amount of space occupied by the cone. A three-dimensional figure having a single circular base is known as a cone. The base and the vertex are connected by a curved surface. A cone with a radius of r has a volume V that is one-third the area of the base B times the height h.

[tex]V=\frac{1}{3} \pi r^{2} h[/tex] or [tex]V=\frac{1}{3} Bh[/tex],

Since, [tex]B=\pi r^{2}[/tex]

Given that the volume of cone V is 48π cubic inches and Height of the cone h=36 inches.Volume of cone [tex]V=\frac{1}{3} \pi r^{2} h[/tex] -------1

Here, the base of the cone is circular in shape and the area of circle is [tex]\pi r^{2}[/tex]. Consider [tex]B=\pi r^{2}[/tex]

Substituting the area of base in the equation (1).

[tex]V=\frac{1}{3} \pi r^{2}[/tex]

    [tex]= \frac{1}{3} Bh[/tex]

Substitute the given values in the equation (1).

⇒ [tex]48\pi =\frac{1}{3} \pi r^{2} 36[/tex]

⇒ [tex]\frac{48\pi }{36\pi } =\frac{r^{2} }{3}[/tex]

⇒ [tex]\frac{12(3)}{9}=r^{2}[/tex]

⇒[tex]4=r^{2}[/tex]

⇒ [tex]r=2[/tex]

Thus, the radius of the cone is 2 inches.

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I think this is the answer + working out

x= Tori's age

y= her grandmother's age

x+y=72

5x=y

5x-y=0

x+y=72

+(5x-y=0)

6x=72

72 divided by 6=

x=12

So Tori is 12...

We substitute 12 for x into the first equation...

12+y=72

Bring 12 to the other side

y=72-12

y=60

Her grandmother is 60 and Tori is 12.

Answer:

x = 48°

Step-by-step explanation:

Since the triangle is an isosceles triangle, the two base angels will have the same measure.

So..

66 +66 = 132

And since all triangles have a sum of 180°, then..

180 - 132 = 48

Answer:

25.133

Step-by-step explanation:

area is pi*r^2. divide area by 3.14 and then sqrt to find radius. 6.28*radius= circumference, so 6.28*4=25.133

Answer:

25.12

Step-by-step explanation:

1. Use the formula for the area of a circle to find the radius

[tex]A=\pi r^2[/tex]

[tex]50.24=\pi r^2[/tex]

[tex]16=r^2[/tex]

[tex]\sqrt{16} =r[/tex]

[tex]4=r[/tex]

2. Use this value to find the circumference

[tex]C=2\pi r[/tex]

[tex]C=2\pi 4[/tex]

[tex]C=2(12.56)[/tex]

[tex]C=25.12[/tex]

We have been given that in triangle RST, angle S is marked as a right angle. Side RT is labeled as 40 centimeters. Side ST is labeled as 30 centimeters. We are asked to find the measure of angle R.

First of all, we will draw a right triangle using our given information as shown in the attachment.    

We can see that RT is hypotenuse and St is opposite side to angle R. We know that sine relates opposite side to hypotenuse of right triangle.

[tex]\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}[/tex]

[tex]\text{sin}(\angle R)=\frac{ST}{RT}[/tex]

[tex]\text{sin}(\angle R)=\frac{30}{40}[/tex]

[tex]\text{sin}(\angle R)=\frac{3}{4}[/tex]

Now, we will use arcsin to solve for angle R as:

[tex]\angle R=\text{sin}^{-1}(\frac{3}{4})[/tex]

[tex]\angle R=48.59037789[/tex]

Upon rounding to nearest hundredth, we will get:

[tex]\angle R\approx 48.59[/tex]

Therefore, the measure of angle R is approximately 48.59 degrees.

Answer:

48.59

Step-by-step explanation:

Just took the test!!

The total surface area to be painted in the hotel room is 644 square feet.

To calculate the surface area of the walls and the ceiling to be painted in a room, we separate the two calculations since the walls and the ceiling have separate dimensions. The floor of the room is a 14-foot square, which means that each side of the wall is 14 feet long. The ceiling also has the same dimensions as the floor. The room has a height of 8 feet.

The area of the ceiling is equal to the area of the floor since they are both squares with the same side length, which is calculated as follows:

Area of ceiling = Side length × Side length

Area of ceiling = 14 feet × 14 feet = 196 square feet

Next, we calculate the surface area of the walls. There are four walls in the room, and each wall has the same height of 8 feet. The wall area is calculated as follows:

Area of one wall = Side length × Height

Area of one wall = 14 feet × 8 feet = 112 square feet

Since there are four walls, total wall area = 4 × 112 square feet = 448 square feet

Finally, we add the area of the ceiling to the total wall area to get the total surface area to be painted:

Total surface area = Ceiling area + Wall area

Total surface area = 196 square feet + 448 square feet = 644 square feet

Therefore, the total surface area of the walls and ceiling of the room that will be painted is 644 square feet, ignoring any doors or windows.

Answer:

B) $90

Step-by-step explanation:

To work out the value of the computer after 8 years you would first have to convert the percentage into a decimal. To achieve this you would divide the percentage of 25 by 100, which gives you 0.25. This is because percentages are out of 100. The next step is to minus 0.25 from 1, which gives you 0.75. This is because the value of the computer is diminishing. Then you would multiply 900 by 0.75 to the power of 8, which gives you 90. You would multiply to the power of 8 as the percentage decrease will need to take place 8 times due to it being annual.

1) Divide 25 by 100.

[tex]25/100=0.25[/tex]

2) Minus 0.25 from 1.

[tex]1-0.25=0.75[/tex]

3) Multiply 900 by 0.75 by the power of 8.

[tex]900*0.75^{8} =90.1[/tex]

4) Round to the nearest whole number.

90

Final answer:

Using the exponential decay formula, the value of Dan's computer after 8 years, with a 25% annual decline, is approximately $90, corresponding to option B.

Explanation:

The question asks about the depreciation of the value of a computer over time. To calculate the approximate value of Dan's computer after 8 years, with a 25% annual decrease in value, we can use the formula for exponential decay - V = P(1 - r)^t, where V is the final value, P is the initial value, r is the rate of decay, and t is the time in years.

The annual rate of decay, r, is 25% or 0.25.

The time in years, t, is 8 years.

Substituting these values into the formula gives us:

V = 900 (1 - 0.25)^8 = 900 (0.75)^8 = 900 * 0.10011291504 ≈ $90.10

After rounding, Dan can expect the approximate value of the computer to be about $90 after 8 years, which corresponds to option B.

pt1= (10,12)

pt2= (10,-8)

_________________

distance = √ (x1 - x2)² + (y2 - y1)²

_________________

=√ (0)² + (-20)²

______

=√400

=20 units

Answer:

Step-by-step explanation:

Answer:

8 dollars

Step-by-step explanation:

The required selling price of an item that has originally price $80 is $27.89.

Given that,
Each Saturday, a store reduces the price of any unsold item by 10%.
An item was priced at $80, on Saturday of the first week it is marked down to $72.
At the end of the second week, it drops to $64.80, and at the end of the third week, the price is decreases to $58.32.  
This continues for 10 weeks.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
From the given,
The relation is given as,
Selling price = original price [1 - 0.10]ˣ
Substitute the value in the above equation,
selling price = 80 [0.9]¹⁰
The selling price = $27.89

Thus, the required selling price of an item that has an original price $80 is $27.89.

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Answer:

Multiple y values for any x

Step-by-step explanation:

A function is a relationship in which every input has a unique output

She can show that there is an x which has multiple (two or more) y values

Answer:

There is no table given to match the values

Answer: I'm sure it's 20

Answer:

D) y=x, x-axis, y=x, y-axis.

Step-by-step explanation:

hope it helps :3