You put some money in an investment account with an interest rate 2.82.8% compounded annually for 11 years. Your initial investment is $ 12130.0012130.00. How much is your account worth in 11 years?

Answer: x = 38

116

38

28

Step-by-step explanation:

2x + 40 + x + x - 12 = 180

Simplify.

4x + 28 = 180

Subtract 28 on both sides.

4x = 152

Divide by 4 on both sides.

x = 38



Answer:

1/6

Step-by-step explanation:

just use the total amount of bracelets as the denominator and the amount of bracelets her sister received as the numerator

Answer:

V = 1156.11

Step-by-step explanation:

V = πr^2h

V = π(4)^2(23)

V = π(16)(23)

V = π(368)

V = 1156.11

The slope for the given points is -0.25.

What is the slope?

Given points are (-4 7) and (8,4)

Slope can be calculated as y2-y1/x2-x1

m=(4-7)/(8-(-4)) =-0.25

The slope for the given points is -0.25.

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1. isn't an exponential function

2. growths

3. growths

4. decay

5. growths

The exponential operations have the subsequent formula: y = K1 × [tex]K2^{(k3*t)}[/tex], where K3, K2, and K1 are constants and K2 is more distinguished than zero.

Exponential operation graphs either decrease or always increase.

To determine whether the operation increases or declines, just consider it at two points, for example, t = 0 and t = 1, and compare the consequences.

1. y = 100 × [tex](1 - 12)^x[/tex] = 100 × [tex](-11)^x[/tex]

Because (-11) is a negative number, y is not an exponential function.

2. y(0) = 0.1 × [tex](1.25)^0[/tex] = 0.1

y(1) = 0.1 × (1.25) = 0.125

y(1) > y(0) → growths

3. y(0) =((1−0.03) × 12)² × (0) = 1

y(0) =((1 − 0.03) × 12)²= 135.4896

y(1) > y(0) → growths

4. y(0) = 426 × [tex](0.98)^0[/tex] = 426

y(1) = 426 × [tex](0.98)^1[/tex] = 417.48

y(1) < y(0) → decay

5. y(0) = 2050 × [tex](12)^{0}[/tex] = 2050

y(1) = 2050 × 12 = 24600

y(1) > y(0) → growths

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The question is -

Does each function describe exponential growth or decay?

Drag and drop the equations into the boxes to correctly complete the table.

Growth Decay

The tip of the minute hand moves in a circle of radius exists 6 in. In 25 minutes, the tip of the minute hand moves 15.7 in

The arc length of a circle can be estimated with the radius and central angle utilizing the arc length formula, Length of an Arc = θ × r, where θ is in radian. Length of an Arc = θ × (π/180) × r, where θ exists in degree.

The tip of the minute hand moves in a circle of radius R = 6in.

We will find that for each case, 15 minutes and 25 minutes, the distance traveled is 9.42 in and 15.7 in correspondingly.

Remember that the length of an arc is defined by an angle θ in a circle of radius R is given by:

L = (θ/360°) × 2 × pi × R

We know that R = 6in.

To find how much the tip of the minute hand moves in 15 minutes.

Then we need to find the angle θ that the tip moves in these 15 minutes.

Remember that a complete rotation in the clock has 60 minutes.

This means that there exists an equivalence:

60 min = 360°

1 = (360°/60 min)

15 min = (15 min) × (360°/60 min) = 90°

Then, in 15 minutes, the tip of the minute hand moves:

L = (90°/360°) × 2 × 3.14 × 6in = 9.42 in

For the case of 25 minutes the procedure is the same:

25 min = (25 min) × (360°/60 min) = 150°

Then, in 25 minutes, the tip of the minute hand moves:

L = (150°/360°) × 2 × 3.14 × 6in = 15.7 in

Therefore, the correct answer is 15.7 in.

The complete question is:

The minute hand of a clock is 6 inches long. how far does the tip of the minute hand move in 15 minutes? how far does it move in 25 minutes? round answers to two decimal places.

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The cumulative distribution function of x is 0.60.

Here X has discrete probability distribution.

[tex]$$\begin{aligned}&\mathrm{P}(\mathrm{X}=1)=0.30 \\&P(X=3)=F(3)-F(1)=0.40-0.30=0.10 \\&P(X=4)=F(4)-F(3)=0.45-0.40=0.05 \\&P(X=6)=F(6)-F(4)=0.60-0.45=0.15 \\&P(X=12)=F(12)-F(6)=1-0.60=0.40\end{aligned}$$[/tex]

Following table shows the pmf:

X P(X=x)

1 0.3

3 0.1

4 0.05

6 0.15

12 0.4

Following is the graph of CDF is [SEE in attachement]

[tex]$P(3 \leq X \leq 6)=F(6)-F(1)=0.60-0.30=0.30$$P(X \geq 4)=1-F(3)=1-0.40=0.60$[/tex]

The probability function that X will have a value less than or equal to x is known as the Cumulative Distribution Function (CDF) of a real-valued random variable X, evaluated at x. It is employed to describe a table's random variables' probability distribution.

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The number of participants that didn't take part is 2000.

Let the number of people that take part in the race be x.

From the information, 5000 people were expected to run and lose 7000000 calories. some didnt run and only 4.2x10^6 calories were lost. It should take about 4.2x10^6 = 4200000.

This will be illustrated as:

x/5000 = 4200000 / 7000000

x = (5000 × 4200000) / 7000000

x = 3000

Therefore, 3000 took part. Those that didn't take part will be:

= 5000 - 3000.

= 2000

Therefore, 2000 people didn't take part.

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The volume of the waffle of come is 44.7735 inches².

The volume of a cone is calculated as:

= 1/3 πr²h

where π = 3.142

r = radius = Diameter / 2 = 3/2 = 1.5

h = height = 19

The volume will now be:

V = 1/3 πr²h

V = 1/3 × 3.142 × 1.5² × 19

V = 44.7735 inches²

The volume is 44.7735 inches².

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The given angles are- a= 62, b = 25, c = 99, d = 141, e = 42, f = 76, g = 88, h = 100, k = 72, m = 104, n = 71, p = 118, q = 82, r = 94, and s = 121.

Here, we are given a figure as shown in the image above.

We know that angles on a straight line are supplementary, that is, the sum of all the angles on a straight line is 180.

Thus, we can easily form the following equations and find the angles-

a + 118 = 180

a = 62

a + 93 + b = 180

⇒ 62 + 93 + b = 180

b = 25

3b + 6 + c = 180

75 + 6 + c = 180

⇒ c = 99

c - 60 + d = 180

99 - 60 + d = 180

⇒ d = 141

d- 3 + e = 180

141 - 3 + e  = 180

⇒ e = 42

2e + 20 + f = 180

84 + 20 + f = 180

⇒ f = 76

f + 16 + g = 180

76 + 16 + g = 180

⇒ g = 88

g - 8 + h = 180

88 - 8 + h = 180

⇒ h = 100

h + 8 + k = 180

100 + 8 + k = 180

⇒ k = 72

k + 4 + m = 180

72 + 4 + m = 180

⇒ m = 104

m + 5 + n = 180

104 + 5 + n = 180

⇒ n = 71

n - 9 + p = 180

71 - 9 + p = 180

⇒ p = 118

p - 20 + q = 180

118 - 20 + q = 180

⇒ q = 82

q + 4 + r = 180

82 + 4 + r = 180

⇒ r = 94

r - 35 + s = 180

94 - 35 + s = 180

⇒ s = 121

Thus, we get the given angles as- a= 62, b = 25, c = 99, d = 141, e = 42, f = 76, g = 88, h = 100, k = 72, m = 104, n = 71, p = 118, q = 82, r = 94, and s = 121.

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The formula for the area of sector is,

Detemine the radius of the circle.

Thus, radius of the circle is 30 units.

Answer:

x = 90
basically this is just finding the half of the number. so you can verify this by adding 90 + 90 = 180. Lmk If you get a good grade on this.

Answer:

it'd be "the product OF a number y and 2."  Answer:  2y.

Step-by-step explanation:

Absolute value x, -x

|n| + 2 ≥ 5

then

|n| ≥ 5 - 2

|n| ≥ 3

Then eliminate parenthesis

n ≥ 3

and

n ≤ -3

Then answer is

n ≤ - 3,. 3 ≤ n

Graph of |n| + 2 ≥ 5

Question 9

|x - 2| - 5 < -2

then

|x - 2| < 5 - 2

|x - 2| < 3

Then eliminate parenthesis

x - 2 < 3

(x - 2) < -3

Then answer is

x< 5

x < -1

New graph question 9

The rate of lemons being used in lemons per cup of lemonade is approximately 1.67 lemons per cup of lemonade.

Unit rate is the measure of an item per one of another item.

Number of lemons = 5

Number of cups of lemonade = 3

Rate of lemons being used in lemons per cup of lemonade = Number of lemons / Number of cups of lemonade

= 1.666666666666666

Approximately,

1.67 lemons per cup of lemonade

In conclusion, 1.67 lemons per cup of lemonade is Kayden's lemonade recipe.

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The most appropriate choice for expanded form of a number will be given by-

We can expand 2015473, as 2015473 can be written as                 200000 + 15000 + 400 + 70 + 3

And every integers can be written in expanded form.

What is expanded form of a number?

At first it is important to know about integers.

A number with no fractional parts is called integer. Integers can be positive, negative and zero is also an integer.

Expanded form of a number is equal to the sum of place value of its digit.

For example, for 423, place value of 4 = 400, place value of 2 = 20, place value of 3 = 3

423 = [tex]400 + 20 + 3[/tex]

Here,

2015473 can be written as 200000 + 15000 + 400 + 70 + 3

every integer can be written in expanded form.

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The correct answer is option A. 14 ÷ (5 + c).

Barry exists spreading the cards among the suits, then he needs enough suits to hold the total of 14 cards he has. Hence, we need to divide the total number of cards by the total number of cards,

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.

A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation.

If we assume Barry exists spreading the cards among the suits, then he needs enough suits to hold the total of 14 cards he has. Hence, we need to divide the total number of cards by the total number of cards.

Therefore, the correct answer is option A. 14 ÷ (5 + c)

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Answer:

135 cookies

Step-by-step explanation:

If the baker starts with 1382 cookies and uses 302 of them then they'll have 1080 left because 1382-302=1080. Then, if she wants to make cookies with 8 chocolate chips each, then she can make 135 cookies because 1080/8=135.

Answer:

2n, -n, 7n

Step-by-step explanation:

Like terms have the same variable parts.

The terms 2n, -n, and 7n, have n as the variable parts, so the like terms are

2n, -n, 7n

The only term that is not a like term here is -4.

Answer: 1

Step-by-step explanation: Well, the like term was going to be n, because 3 of the things have a n. But, because of the 4, the like term isn't n. and because n is the same as 1n, the only like term is one

Given:

Principal amount, P = $3000

Time, t = 10 years

Let's solve for the following:

• (a). Find the value of the investment if the interest is 6.2% compounded monthly.

Apply the compound interest formula:

Where:

• P is the principal = $3000

• r is the interest rate = 6.2% = 0.062

• n is the number of times compounded = monthly = 12 months a year

• t is the time in years = 10 years

Plug in these values and solve for the value, A:

Therefore, if it is compounded monthly, the value at the end of 10 years is $5567.89

• (b). 6.2% compounded daily

In this case, the number of times compounded will be:

n = 365 times a year.

Thus, we have:

If it is compounded daily, the value at the end of 10 years will be $5576.49

ANSWER:

(a). $5567.89

(b).

The scale factor between the map and the wilderness area is :

1:7500

Given, the scale on a map of a wilderness area shows that 2 cm represent 3 km.

Whereas the camp store is 20 cm from the beach on the map.

Calculating scale factor

From the question, we are to determine what the scale factor from the map to the wilderness area is:

we know that, the scale on a map of a wilderness area shows that 2 cm represent 3 km.

so, convert km to cm.

2cm = 3 km

1 cm = 3 km/ 2 cm

cm = 3×100000/2

cm = 3×50000

cm = 150000

= 150000 cm

scale factor between the map and the wilderness area :

⇒ 20 cm : 150000 cm

⇒ 2 : 15000

⇒ 1 : 7500

Hence the scale factor between the map and the wilderness area

is 1:7500

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The event containing the outcomes belonging to a or b or both is the union of a and b.

Let us consider two sets a and b, and say events or the elements in set a are: (x, y, z), and the elements in set b are: (o, p, q)

The union of these two sets will give:

aUb=(x, y, z, o, p, q)

Now, a union of two sets (denoted by U), for our case a and b, is the set or event containing the elements belonging to a or b or both the elements in a and b altogether.

Thus, the even containing the outcomes belonging to a or b or both in a and b altogether is the union of a and b.

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Answer: 5

Step-by-step explanation:

18. ∠1 = ___°

19. ∠2 = ___°

20. ∠3 = ___°

21. ∠5 = ___°

Answer:

A because you need to divide that $1000 into the x amount of months that you have.

The length of the building is equal to 1440 inches

To solve this problem, we simply need to convert the length from feet to inches.

So, to convert a measurement in feet to inches, all you need to do is multiply the number by 12. This is an exact number and this will make it easy on our question since its a significant figure.

From metric units;

1 feet is equal to 12 inches

To convert 120 feet to inches, we simply have to multiply 120 by 12 to get the value in inches.

Let the value of the unknown be represented by x

[tex]1ft = 12in\\120ft = x\\x = 120 * 12 \\x = 1440in[/tex]

The length of the monument is equal to 1440 inches.

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Answer:105 i believe so

Step-by-step explanation:

Answer:

105 members

Step-by-step explanation:

[tex]1.25 \times 84 = 105[/tex]

After the conversion of units, 2.5 gallons to quarts is 12 quarts.

So, 1 gallon = 4.8 quarts:

Now,

Therefore, after the conversion of units, 2.5 gallons to quarts is 12 quarts.

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Answer:

27, Grace

Step-by-step explanation:

2x + 15 = A    x-4 = B               3B = C   C= 3x-12           3x-12 = 2x + 15

                                                                                           +12         +12

3x=2x+27

x=27

Grace is right

Answer:

gradient = 4

Step-by-step explanation:

use the slope ( gradient) formula to find gradient m

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, 0) and (x₂, y₂ ) = (6,8) ← 2 points on the line

m = [tex]\frac{8-0}{6-4}[/tex] = [tex]\frac{8}{2}[/tex] = 4

Answer:

-0.25

Step-by-step explanation:

Answer:

3 and 7

Step-by-step explanation:

They are in the same relative position as each other