A person places $1150 in an investment account earning an annual rate of 5.3%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 10 years.

Given:

In △ABC and △PQR, AB = 5 cm , BC = 6 cm , AC = 8 cm , PQ = 6 cm , QR = 5 cm , PR = 8 cm.

To find:

The correct congruency statement for the given triangles.

Solution:

In △ABC and △PQR,

[tex]AB=QR=5\ cm[/tex]                    (Given)

[tex]BC=PQ=6\ cm[/tex]                    (Given)

[tex]AC=PR=8\ cm[/tex]                    (Given)

All three corresponding sides of both triangles are equal. On comparing both triangle, it is conclude that the corresponding angles of A, B, C are R, Q, P respectively.

[tex]\Detla ABC\cong \Delta RQP[/tex]               (SSS congruency postulate)

Therefore, the correct option is C.

Answer:

Step-by-step explanation:

Use Law of Sines to find ∠B.

∠B = arcsin(b·sinA/a) ≅ 35°

∠C = 180°-∠A-∠B = 25°

Answer:

Liter.

Step-by-step explanation:

Capacity can be defined as the maximum amount or quantity of liquid that a container can hold at a specific period of time. It is also referred to as the inner volume of a container.

The standard unit of capacity is a liter.

Note:

1 centimeter = 0.001 liters

1000 liters = 1 milliliters

Answer:

y = -0.43841X + 9.34565

Step-by-step explanation:

Given the data:

Distance to work (x) :

1

3

4

6

8

10

12

14

14

18

Y:

9

6

9

8

7

2

4

3

5

1

The least square estimated regression equtyol obtained using  a linear regression calculator is :

y = -0.43841X + 9.34565

Yes, from the correlation Coefficient value, R which yields - 0.8444, shows they a strong linear relationship exists between the two variables.

The obtained regression equation is appropriate

Answer:

-0.0001701 > -0.0001710

Step-by-step explanation:

-0.0001701 is greater than -0.0001710 since it is closer to 0

Answer: y= 4x + 5 y = x2 + 12x + 20 = y=4  x=0

Step-by-step explanation:

A=1 20

B= 440

C= 120

D= -240

Answer:

B) (-3,-17) and (-5,-25)

Step-by-step explanation:

Answer:

Looks like the book has fixed RHS while I have fixed LHS.

Answer:

y = -3

Step-by-step explanation:

6y +4 = 4y- 2

2y= -6

y= -3

pls Mark as brainliest

Answer:

15 is the answer.      3/5 with the denominater would be 9/15

Answer: 1. The answer is A. 2. The answer is C again

Step-by-step explanation:

The tree is 20 feet tall if the 6-foot tall man has a 9-foot shadow at the same time a tree standing next to him as a 30-foot shadow.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

From the right angle triangle,

The ratio of the man height and his shadow is equal to the tree height(h) and its shadow.

6/9 = h/30

h = 20 feet

Thus, the tree is 20 feet tall if the 6-foot tall man has a 9-foot shadow at the same time a tree standing next to him as a 30-foot shadow.

Learn more about the right angle triangle here:

brainly.com/question/3770177

#SPJ2

Answer:

B) 15

Step-by-step explanation:

8²+b²=17²

64+b²=289

b²=289-64

b²=225

b=√225

b=15

Answer:

2√2

Step-by-step explanation:

Answer:

uhhh ok im not 100% sure but i think its

Step-by-step explanation:

Answer:

The mean number of deliveries for driver A is less then the mean for driver B by 3 MADs.

Answer:

CAN SOMEONE REMOVE THIS ANSWER.

Answer:

d. 1,600.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Based on previous research, the standard deviation of the distribution of the age at which children begin to walk is estimated to be 1.5 months.

This means that [tex]\sigma = 1.5[/tex]

Of the following, which is the smallest sample size that will result in a margin of error of 0.1 month or less for the confidence interval?

The sample size has to be n or larger. n is found when [tex]M = 0.1[/tex]. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.1 = 2.575\frac{1.5}{\sqrt{n}}[/tex]

[tex]0.1\sqrt{n} = 2.575*1.5[/tex]

Multiplying both sides by 10

[tex]\sqrt{n} = 2.575*15[/tex]

[tex](\sqrt{n})^2 = (2.575*15)^2[/tex]

[tex]n = 1492[/tex]

So the sample size has to be at least 1492, which means that of the possible options, the smallest sample size is 1600, given by option d.

The sample size should be at least 1492, So the possible options, the smallest sample size is 1600, option D is the correct answer

Based on previous research, the standard deviation of the distribution of the age at which children begin to walk is estimated to be 1.5 months. A random sample of children will be selected, and the age at which each child begins to walk will be recorded. A 99% confidence interval for the average age at which children begin to walk will be constructed.

The margin of error tells you how many percentages points your results will differ from the real population value.

[tex]M=z\frac{\sigma}{\sqrt{n} }[/tex]

We need to find our α level, that is the subtraction from 1 by the confidence interval for the average age divided by 2.

[tex]\alpha = \frac{1-0.99}{2}\\ =0.005[/tex]

Now, we need to find z which is 1-α

[tex]1-\alpha \\=1-0.005\\\rm z=2.575[/tex]

The margin of error M

[tex]M=z\frac{\sigma}{\sqrt{n} }[/tex]

Here, [tex]\sigma[/tex] is the standard deviation of the population.

n is the size of the sample.

So,

[tex]\rm M=z\frac{\sigma}{\sqrt{n} } \\\rm0.1=2.575\frac{1.5}{\sqrt{n} } \\\rm0.1\times\sqrt{n} =2.575\times{1.5}\\\rm\sqrt{n} =2.575\times{1.5}\\\rm(\sqrt{n} )^{2} =(2.575\times{1.5})^{2} \\\rm n=1492[/tex]

Hence, the sample size should be at least 1492, So the possible options, the smallest sample size is 1600, option D is the correct answer.

Learn more about the margin of error here:

https://brainly.com/question/6979326

Answer:

!2 bottles

Step-by-step explanation:

Given

[tex]8\ bottles = 13\ litre \\[/tex]

Required:

Number of bottles for 18.5 liters

Represent this with x.

So:

[tex]8\ bottles = 13\ litre[/tex]

[tex]x = 18.5\ litre[/tex]

Cross Multiply

[tex]x * 13 = 8\ bottles * 18.5[/tex]

[tex]x * 13 = 148\ bottles[/tex]

[tex]x = \frac{148}{13}\ bottles[/tex]

[tex]x = 11.4\ bottles[/tex]

Hence, she needs 12 bottles

Answer:

B

Step-by-step explanation:

You have to know how to factor polynomials.

2(5x^2-21x-54)

2(5x^2-30x+9x-54)

2(5x(x-6)+9(x-6))

2(5x+9)(x-6)

Answer:

36 meters

Step-by-step explanation:

If the pool has 4 sides, and every side is 9 meters you add 9+9+9+9 to get 36 or just multiply 9 x 4.

Answer:

If you know what x is then you can add it to 1 multiply that by 7 to get the answer then simplify, since you cannot simplify whole numbers you know that it is a decimal. To simplify a decimal remove the decimal point and reduce the ratio to a ratio of whole numbers. Multiply the numerator and denominator of the ratio in fraction form by a 10, 100, 1000 i.e., a power of ten to eliminate the decimal. Then the fraction is simplified to be in its lowest terms.

Step-by-step explanation:

Answer:

ts 24 sg 18

Step-by-step explanation:

Answer: she sold 6 of the Taylor Swift cd’s($10 cd’s) and 12 of the Selena Gomez cd’s ($15 cd’s)

Answer:

a

Step-by-step explanation:

Answer:

angles 1 and 3 are supplementary

Answer:

−3

Step-by-step explanation:

Use the values of a,b, and c to find the discriminant. −3

Answer:

OKay i did not get it but it should be 96 hours

Step-by-step explanation:

Step-by-step explanation:

most questions have valid us answers actually so yeah

Answer:

Multiplication tables

Answer:

70%

Step-by-step explanation:

To convert from decimal to percent, just multiply the decimal value by 100. In this example we have: 0.7 × 100 = 70%

Pls mark brainiest if it helped :P

Answer:

70%

Step-by-step explanation:

To convert from decimal to percent, just multiply the decimal value by 100. In this example we have: 0.7 × 100 = 70%

I learned this from 5th grade i think, but hope this helps alot

Answer:

76.38

Step-by-step explanation:

x = the number of boxes of felt tip pens

5x = the number of boxes of ballpoint pens

5x*4.41 + x*3.41 = 76.38

Answer:

7.85 is your answer I do believe

Answer:

THE ANSWER IS 6.54

Step-by-step explanation:

Answer:

the answer would be the letter A