What is 2.068 rounded to the nearest 0.1

Brooklyn needs to invest $432.43, rounded to the nearest ten dollars.

To determine how much Brooklyn needs to invest in an account that pays a continuously compounded interest rate, we can use the formula:

A = \(Pe^(^r^t^)\)

where A is the future value of the account, P is the principal investment, e is the mathematical constant approximately equal to 2.71828, r is the interest rate, and t is the time in years.

In this case, we want the future value of the account to be $640, the interest rate is 3.5% (or 0.035 as a decimal), and the time is 9 years. We can substitute these values into the formula and solve for P:

640 = \(Pe^(^0^.^0^3^5^*^9^)\)

640 = Pe^0.315

P =\(640/e^0^.^3^1^5\)

P = 432.43

Therefore, to have a future value of $640 in 9 years with a continuously compounded interest rate of 3.5%.

For such more questions on invest

https://brainly.com/question/29227456

#SPJ8

Answer:

36° , 54° , 90°

Step-by-step explanation:

since the triangle is right then one angle is 90°

the ratio of the smaller angles = 3 : 2 = 3x : 2x ( x is a multiplier )

the sum of the 3 angles in the triangle is 180° , that is

3x + 2x + 90 = 180

5x + 90 = 180 ( subtract 90 from both sides )

5x = 90 ( divide both sides by 5 )

x = 18

Then

3x = 3 × 18 = 54°

2x = 2 × 18 = 36°

the 3 angles measure 36° , 54° , 90°

Answer:

To simplify the expression (a÷b)³×(b÷c)×(c÷a)³ when a=3, b=a², c=a³, we can substitute the given values and perform the calculations.

Substituting the values of a, b, and c:

a = 3

b = a² = 3² = 9

c = a³ = 3³ = 27

Now let's simplify the expression:

(a÷b)³×(b÷c)×(c÷a)³

(3÷9)³×(9÷27)×(27÷3)³

Simplifying each term:

(3÷9) = 1/3

(9÷27) = 1/3

(27÷3) = 9

Now we can substitute the simplified values back into the expression:

(1/3)³×(1/3)×9

Simplifying further:

(1/27)×(1/3)×9

1/9

Therefore, the simplified expression is 1/9.

Answer: Hello!

Step-by-step explanation:

Your answer would be D :)

The domain and range of the graph above in interval notation include the following:

Domain = [-6, 3]

Range = [-3, 3]

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-6, 3] or -6 ≤ x < 3.

Range = [-3, 3] or -3 < y < 3

Read more on domain here: brainly.com/question/9765637

#SPJ1

Answer:

Step-by-step explanation:

(-7, 4.2)

answer is here about stem and leaf

Therefore, the midpoint of segment AB is M (2, 3/2).

The midpoint formula is a method to determine the midpoint of a line segment.

To find the midpoint of a line segment, use the midpoint formula. In this case, the endpoints of the segment are A (-3, 6) and B (7, -3), and we need to find the midpoint.Point M is the midpoint of the segment AB. Let's find the x-coordinate of M first by applying the midpoint formula:

midpoint x-coordinate = (x1 + x2)/2

midpoint x-coordinate = (-3 + 7)/2

midpoint x-coordinate = 4/2

midpoint x-coordinate = 2

Now, let's find the y-coordinate of M by applying the midpoint formula:

midpoint y-coordinate = (y1 + y2)/2

midpoint y-coordinate = (6 + (-3))/2

midpoint y-coordinate = 3/2

For such more question on segment

https://brainly.com/question/280216

#SPJ8

The required side length DK is 15 units for the given triangle JKL.

When a line parallel to one side of a triangle intersects the other two sides in distinct spots, the other two sides are separated in the same ratio.

Given that,

JK = 9x - 5 and EF = 6x - 13,

As we can see that ΔJKL and ΔDEF are similar triangles,

According to Thales's Theorem,

EF/JK = DE/KL

(6x - 13) / (9x - 5) = 1/2

2(6x - 13) = 9x - 5

12x - 26 = 9x - 5

3x = 21

x = 7

Substitute the value of x = 7 in JK = 9x - 5,

JK = 9 × 7 - 5 = 30 units

So DK = JK/2 = 30/2 = 15 units.

Thus, the required side length DK is 15 units.

Learn more about Thales's Theorem here:

https://brainly.com/question/29626660

#SPJ9

The equation of the line in slope-intercept form is y = (3/5)x + 2. This form allows us to easily identify the slope and y-intercept of the line and to graph it on a coordinate plane.

To write the equation of a line in slope-intercept form, we use the formula:y = mx + b

where:

- y represents the dependent variable (the vertical axis)

- x represents the independent variable (the horizontal axis)

- m represents the slope of the line

- b represents the y-intercept, the point where the line intersects the y-axis.

In this case, we are given the slope as 3/5 and the y-intercept as 2. Plugging these values into the formula, we get:

y = (3/5)x + 2

This equation represents a line with a slope of 3/5, indicating that for every 5 units we move horizontally (along the x-axis), the line moves 3 units vertically (along the y-axis). The y-intercept of 2 tells us that the line intersects the y-axis at the point (0, 2).

for more search question coordinate

https://brainly.com/question/30197038

#SPJ8

Answer:

6 / 51

Step-by-step explanation:

It is false.

Reason:

The probability of picking a black card at first is:

26 / 52 = 1/2

There are now 25 black cards and 51 cards in total.

The probability of picking another black card, if there's no replacement is now:

25 / 51

Now, there are 24 black cards and 50 cards left in total.

The probability of picking a black card without replacement now becomes:

24 / 50 = 12 / 25

Hence, the probability of picking three black cards without replacement is:

1/2 * 25/51 * 12 / 25 = 300 / 2550

In simplest form, it is 6 / 51

The graph of this relation is four points on the coordinate plane (see attached diagram).

Hence option D is true.

Since we know that,

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

And a function is a special relation,

where each input x has a single output y.

This relation is not a function, because for one x (x=-1),

Here are two different possible y (y=3 or y=2).

If you consider the graph, you can see that there will be vertical line passing through the points (-1,3) and (-1,2).

To learn more about function visit:

https://brainly.com/question/8892191

#SPJ1

Answer:

The two distributions are each nearly symmetric.

Step-by-step explanation:

Symmetric distributions are those in which the data occurs in regular frequencies.

If we calculate the difference between the two standard deviations we find that it is only  0.022 which may be due to the physical or chemical properties of water or salt. So it lies within the same range and is almost symmetrical.

We cannot say that the distributions do not overlap on the same range of temperatures because they lie within the same range.

These two options are also incorrect as they are totally opposite of each other. Suppose the  distribution of salt water boiling temperatures is left-skewed then the distribution of tap water boiling temperatures cannot be  right-skewed as they have the same range and vice versa.

Answer:

A). The two distributions are each nearly symmetric.

Step-by-step explanation:I took the test

Answer:

what is radius

Step-by-step explanation:

tell me what is the radius

Answer:

The dot just past 2.

Step-by-step explanation:

It's the dot right next to 2,

2.2

The complete table using function rule y = -5x+2 is:

x        y

-2      12

0       2

2      -8

4      -18

Given:

Function rule, y = -5x+2.

We have to find the values of y by substituting different values of x.

When,

x = -2

y = -5(-2) + 2 = 10+2 = 12

x = 0

y = -5(0) + 2 = 0+2 = 2

x = 2

y = -5(2) + 2 = -10+2 = -8

x = 4

y = -5(4) + 2 = -20+2 = -18

To know more about function rule visit:

https://brainly.com/question/20527806

#SPJ13

Answer:

f(x) \(\leq\) 3x + 4

g(x)  ≥ -1/2x - 5

Step-by-step explanation:

Point D is below f(x)  and above g(x)

Helping in the name of Jesus.

The length KL is 8 units

The value of x is undefined

The length KL is 12 units

From the question, we have the following parameters that can be used in our computation:

The rhombus

Also, we have

DK = 8

A rhombus is a quadrilateral with all sides equal.

So, we have

KL = 8

Here, we have

SKAL = 2x - 8

There is no point S on the rhombus

This means that

x = undefined

Here, we have

DM = 5y + 2 and DK = 3y + 6

A rhombus is a quadrilateral with all sides equal.

So, we have

5y + 2 = 3y + 6

Evaluate

2y = 4

Divide

y = 2

So, we have

KL = 5 * 2 + 2

KL = 12

Hence, the length KL is 12 units

Read more about rhombus at

https://brainly.com/question/12735921

#SPJ1

El ángulo más grande de un triángulo rectángulo es su ángulo recto que mide 90°, los demás ángulos siempre serán agudos, es decir, menores a 90°.

Por tanto, la respuesta es 90°.

The interest for the first quarter would be $ 15

The value of the CD when it matures is $ 2, 030. 11

The interest is said to compound quarterly which means that the periodic interest rate per quarter is:

= 3 % / 4

= 0. 75 % per quarter

The interest in the first quarter :

= 0. 75 % x 2, 000

= $ 15

The value of the CD at maturity is:

= 2, 000 x ( 1 + 0. 75% ) ²

= $ 2, 030. 11

Note : 2 periods because 6 months is 2 quarters.

Find out more on value of CDs at https://brainly.com/question/30140588

#SPJ1

Answer:

\( \sqrt{ {13.5}^{2} - {8.6}^{2} } = \sqrt{108.29} = 7 \sqrt{2.21} = \frac{7}{10} \sqrt{221} \)

V = (1/2)(8.6)(.7√221)(22.4) = 1,002.33 square meters

The closest answer is 1,001.73 square meters.

Answer:

Step-by-step explanation:

Espero que esto ayude.

The group of individuals fitting a description is called option D: Population, this is because, in statistics, a population is seen as am entire group of individuals, items, or elements that tends to have or share a common characteristics.

The term "population" describes the complete group of people or things that you are interested in investigating. It is the group of individuals or thing(s) about which you are attempting to draw conclusions.

There are infinite and finite populations. A population with a set quantity of people or things is said to be finite. An endless population is one that has an infinite amount of people or things.

Therefore, the correct option is D

Learn more about population here:

brainly.com/question/25630111

#SPJ1

See full text below

A group of individuals fitting a description is the _____

Which of the term below fit the description above.

A.census

B.sample

C.parameter

D.population

Answer: 60 pages

Step-by-step explanation: 24 pages time 2 would be 48 pages, which is 80% of the pages. Since 12 pages is 20%, you would add 12 pages, which equals 60 pages.

Answer:

(x) ∠CAB

Step-by-step explanation:

In ΔCOD and ΔBOA

\(\frac{OA}{OB} = \frac{OD}{OC} \\\\\implies \frac{OC}{OB} = \frac{OD}{OA}\)

Also,

∠COD = ∠BOA (vertically opposite angles)

⇒ ΔCOD and ΔBOA are similar

⇒ ∠CDO = ∠BAO

⇒ ∠CDB = ∠BAC

⇒ ∠CDB = ∠CAB

Determine the volume of each rectangular or triangular prism round to the nearest tenth if necessary ​

____________________

volume = base (B)* height (H)

_____________________

Base area

Triangle

B = b*h/2

Rectangle

B= L1*L2

__________________

volume = base (B)* height (H)

H= 15

Triangle case

B = 4.8 *9.6 /2

B = 46.08 / 2

B= 23.04

V= 23. 04* 15

V= 345.6 in ^3

Answer:

3/120 is equivalent to 5/200