Anna received a gift of $5,000 from her grandmother and decided to invest it. The expression 5000(1.0005)^12t represents the amount of money Anna is earning on her investment. Select all of the following that are equivalent expressions so that Anna can better understand how her money is invested.

a) 5000(1.0005^12)^t
b) 5025^12t
c) 5000(1+0.0005)^12t
d) 5000(1.0005^t)^12
e) (5000+2.5)^12t
f) 5000(1+0.06/12)^12t

Answer:

17200

Step-by-step explanation:

3750+13450=17200

3,750 + 13,450 + 17,200

Answer:

Step-by-step explanation:

Ok since they haven't specifically told use what the four consecutive numbers is we gotta use

X, x+1, x+2, x+3

Then you collect the like terms and sum them up

x+x+x+x+ 1 + 2 + 3 =278

4x+6=278

4x=272

Then you simplify

4x/4= 272/4

x=68

Now that you know what x is then the four consecutive numbers are 68, 69, 70, 71.

Adiosss

But the way I think I know do you have exams tomorrow??

let me know if this is wrong

Answer:

50.24

Step-by-step explanation:

you can use pi r^2

Answer:

-5, -4, -1

Step-by-step explanation:

To find the terms of the sequence, you have to use the given expression.

n ( n - 2 ) - 4

Here,

n ⇒ term number,

Accordingly, let us find the first 3 terms in this sequence.

For that, replace n with the term number

When n = 1,

T₁ = n ( n - 2 ) - 4

T₁ = 1 ( 1 - 2 ) - 4

T₁ = -5

When n = 2,

T₂ = n ( n - 2 ) - 4

T₂ = 2 ( 2 - 2 ) - 4

T₂ = - 4

When n = 3,

T₃ = n ( n - 2 ) - 4

T₃ = 3 ( 3 - 2 ) - 4

T₃ = - 1

Answer:

h≈2.86

Step-by-step explanation:

On solving the provided question, by properties of parallel lines we got to know that -  1 - A  2 - C  3 - B  4 - D

When two or more lines cross the intersection line, alternate exterior angles result. These angles are created on a number of sides outside the transverse lines. Any two parallel lines that cross one another create two angles with the horizontal line. In the area between the parallel lines, interior angles are formed, while alternate exterior angles are formed in the area outside the parallel lines.

Matches are -

1 - A

2 - C

3 - B

4 - D

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Answer: 115,324 m^2

Step-by-step explanation:

To find the surface area, we need height of the triangle face of the pyramid. We are given the height of the pyramid itself (105 m). To find the height of the triangle face, we have to use the Pythagorean theorem (a^2 + b^2 = c^2).

In the diagram attached, the height of the triangle face is the hypotenuse of the blue triangle: 110^2 + 105^2 = c^2 where c = about 152 m (ROUNDED)

Now that we have the height of the triangle face, we can use the triangle area formula: 1/2(base)(height) to find the area of one of the triangle faces.

1/2 (220)(152) = 16,720 m^2

Since there are four triangle faces, we need to multiply this number by four.

16,720(4) = 66880 m^2.

Now we just have to add this to the area of the square base which is:

(220)(220) = 48400 m^2

66880 + 48400 = 115,200 m^2 (which is very close to the answer provided - if 152 wasn't rounded, 115,324 would be your answer)

Answer:

\(h(x)=2x^2-12x+9\),  \(p(x)=-5x^2-20x-5\)

Step-by-step explanation:

To get to the standard form of a quadratic equation, we need to expand and simplify. Recall that standard form is written like so:

\(ax^2+bx+c\)

Where a, b, and c are constants.

Let's expand and simplify h(x).

\(2(x-3)^2-9=\\2(x^2+9-6x)-9=\\2x^2+18-12x-9=\\2x^2+9-12x=\\2x^2-12x+9\)

Thus, \(h(x)=2x^2-12x+9\)

Let's do the same for p(x).

\(-5(x+2)^2+15=\\-5(x^2+4+4x)+15=\\-5x^2-20-20x+15=\\-5x^2-5-20x=\\-5x^2-20x-5\)

Thus, \(p(x)=-5x^2-20x-5\)

To translate an entire triangle, find the coordinates of each of the triangle's vertices, add the horizontal translation then plot the three translated points.

Whenever an object is moved from one location to the next without changing its size, shape, or orientation, a translation takes place. If we know which way and how far the figure to be moved, we can draw the translation in the coordinate plane.

Use P′(x+a,y+b) to translate the point P(x,y), a unit to the right, and b unit up. Use P′(x−a,y−b) to translate the point P(x,y), a unit to the left and b unit to the lower.

There are some steps of translating the triangle:

Step 1: Find the coordinates of each of the triangle's vertices in step one.

Step 2: Add the horizontal translation value to each vertex's x-coordinate and the vertical translation value to each point's y-coordinate to translate each point. If the horizontal translation is to the left or the vertical translation is downward for these translations, add a negative number.

Step 3: Plot the three translated points and draw the triangle by drawing a straight line between each pair of points.

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Answer:

Я не вижу достаточно, чтобы прочитать весь вопрос, но я надеюсь, что это поможет.

и как человек с английским в качестве основного языка и изучающий русский, я с удовольствием использую эти навыки.

Answer:

6

Step-by-step explanation:

3 sides, 3 angles.

Answer:

I believe the answer is -6/10 or -0.6

Step-by-step explanation:

-2.1- (-0.6) = -1.5

-1.5 = -1 1/2

The length of the opposite side with respect to the reference angle

is 56.6 units.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecent/hypotenuse and

tan = opposite/adjacent.

From the given information, With respect to the reference angle of 48°

the opposite side is 'x' units and the adjacent is 17 units.

We know, tan = opposite/adjacent.

Therefore, tan48° = x/17.

x = 17/0.3.

x = 56.6 units.

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To calculate the net gain or loss, we need to consider both the realized and unrealized components. Therefore, the net gain/loss is -$20,000. This indicates a net loss of $20,000.

The net gain or loss is calculated by adding the realized gains or losses and the unrealized gains or losses:

Net Gain/Loss = (Realized Gain/Loss) + (Unrealized Gain/Loss)

Given the information provided:

Realized Loss = $40,000

Realized Loss = $10,000

Unrealized Gain = $30,000

Net Gain/Loss = (-$40,000) + (-$10,000) + $30,000

Net Gain/Loss = -$50,000 + $30,000

Net Gain/Loss = -$20,000

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On solving the provided question, we can say that by equation

30 tons of veggies were sold on the first day, 33 tons on the second day, and 35 tons on the third day.

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

x = amount (ton) of vegetables sold on day one; y = amount (ton) of vegetables sold on day two. Z = the amount of vegetables sold on the third day (in tons).

\(x=y-3\\z=(5/9)*(x+y)\\x+y+z=98\\x+y+[(5/9)*(x+y)]=98\\ 9x+9y+5x+5y=882\\14x+14y=882\\x=y-3\\14x+14y=882\)

solution

\(x=30\\y=33\\x+y+z=98---- > z=98-(x+y)---- > z=98-63--- > 35\)

30 tons of veggies were sold on the first day, 33 tons on the second day, and 35 tons on the third day.

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5 km = 5000 meters

66 minutes = 3960 seconds

Meters per second = 5000/3960 = 1.26

The answer is A.1.26

Answer:

23:2 is 25

\(100 \div 25 = 4\)

\(23 \times 4 = 92\)

\(2 \times 4 = 8\)

Check the answer

\(92 + 8 = 100\)

\(therefore \: copper = 92g \: \\ and \: tin = 8g\)

Step-by-step explanation:

At least I think that's how you do it

Answer:

the 24th day they'll be there

Step-by-step explanation:

4 8 12 16 20 24

6 12 18 24

Answer:

105 hours

Step-by-step explanation:

→ Find how many days in a week

7

→ Multiply this by his gaming time

7 × 15 = 105

Answer:

He plays 105 hours a week.

Step-by-step explanation:

The brother plays 15 hours a week.

Week = 7 Days

15 x 7 = 105

Hope you enjoyed this simple answer! :)

                                      sneaky if u found it >:)

Step-by-step explanation:

$70*8% ≈ 56

so, 70 - 56 = i14

ihopethishelps

Answer:

Step-by-step explanation:

What is the equation?

You need to replace all A with 3 and all c with 12. If I had the equation, I'd be glad to help further.

For the given values a=3 and c=12 the required expression is 4a-c=0.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Given that,

The value of a = 3         (1)

And the value of c = 12       (2)

To determine the expression,

divide equation (1) and equation (2),

a/c = (3/12)

⇒a/c = 1/4

⇒4a=c

⇒4a-c = 0

The required expression is 4a-c=0.

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Answer:

the more pages she read, the more time she read for.

Step-by-step explanation:

The real number √21 is an example of an irrational number. (Correct choice: C)

According to number theory, real numbers are formed by the following sets:

Then, by direct inspection we get the following conclusions:

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Answer: the real answer for this will be p=3/2 and s=5

Step-by-step explanation: here

2p=3

2p/2=3b/2 divide both sides by 2

P=3/2

3/2 for p in s=5

S=5

S=5

Answer P=3/2 and s= 5

Got it

Hey there!

“Evaluate 2ps for p=3 and s=5”

• Side note: If p = 3 then SUBSTITUTE where “p” is at in the equation; if s = 5 then SUBSTITUTE where “s” is at in the equation!

• New equation: 2(3)(5)

2(3)(5)

2(3) = 6

6(5) = 30

Answer: A. 30 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

-8

Step-by-step explanation:

Following Order of Operations rules, we evaluate anything within parentheses first:

8-[12-(-4)] = 8 - 16 = -8

the area of the triangle cut off by the line connecting the midpoints of two adjacent sides of the rectangle is also 4 square units.

When a line is drawn from the midpoint of one side of a rectangle to the midpoint of an adjacent side, it divides the rectangle into two congruent triangles. The area of one of these triangles can be found by taking half of the area of the rectangle.

Let's call the dimensions of the rectangle "length" and "width". We know that the area of the rectangle is 4 square units, so:

length x width = 4

Now, let's draw the line connecting the midpoints of two adjacent sides:

___________________

|         |         |

|         |         |

|    A    |    B    |

|_________|_________|

This line divides the rectangle into two congruent triangles, labeled A and B above. Each of these triangles has a base equal to half of the rectangle's width, and a height equal to half of the rectangle's length. Therefore, the area of one of these triangles is:

(1/2) x (width/2) x (length/2)

We can simplify this expression by multiplying the terms together and dividing by 4:

(1/2) x (width/2) x (length/2) = (width x length) / 8

Since we know that the area of the rectangle is 4 square units, we can substitute this value into the expression:

(width x length) / 8 = 4/2

(width x length) / 8 = 2

Multiplying both sides by 8 gives us:

width x length = 16

So the area of the triangle cut off by the line is:

(width x length) / 4 = 16/4 = 4 square units

Therefore, the area of the triangle cut off by the line connecting the midpoints of two adjacent sides of the rectangle is also 4 square units.

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