What is the principal amount if the interest rate is 3.5% a year and the amount of interest is 183.75 for 21 months?

Answer:

where is the triangle?

Step-by-step explanation:

Answer:

530.93 OR 530.9

Step-by-step explanation:

Since we know what the radius is 13 we replace R with 13 in the formula form area of a circle. area = [tex]\pi 13^{2}[/tex]

So now we multiply 13 squared or 13 x 13 which equals 169

Now we multiply pi and 169 which gives us 530.929 depending on what number you should round to give  us our answer.

530.93

530.9

Using the binomial distribution, it is found that there is a 0.5 = 50% probability of selecting a two-child family with one boy and one girl.

For each child, there are only two possible outcomes, either it is a boy, or it is a girl. The probability of a child being a boy or being a girl is independent of any other child, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability of one of each is P(X = 1), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 1) = C_{2,1}.(0.5)^{1}.(0.5)^{1} = 0.5[/tex]

0.5 = 50% probability of selecting a two-child family with one boy and one girl.

A similar problem is given at https://brainly.com/question/24863377

Answer:

$4305.60

Step-by-step explanation:

1393 divided by 44 = 31.6590909

that's how much for one training session

so to find the pay for 136 sessions you need to do 31.6590909 x 136

which is 4305.63636

if you round that, you get $4305.60

Answer:

[tex]\sqrt{81}[/tex] = 9

[tex]\sqrt{169}[/tex] = 13

Step-by-step explanation:

I did this really quick so I hope all the answers are right, and double check them if you have time just in case

Answer:

510

Step-by-step explanation:

10/100 = 51

10*10/100 = 51*10

100/100 = 510

Answer:

  -1

Step-by-step explanation:

The average rate of change of function f(x) on the interval [a, b] is ...

  m = (f(b) -f(a))/(b -a)

We have ...

  f(-1) = (-1)^5 -2(-1) +3 = -1 +2 +3 = 4

  f(1) = (1)^5 -2(1) +3 = 1 -2 +3 = 2

Then the average rate of change is ...

  m = (2 -4)/(1 -(-1)) = -2/2 = -1

The average rate of change on the given interval is -1.

Answer:

Step-by-step explanation:

Okay, so the point-slope form is  

(y - y1) = m(x - x1)  

Where m = the slope of the line

and where (x1, y1) is a point on the line

So, if the slope is 6, then m = 6

Now, you plug that and the point (4, -9) into the equation above.

(y -(-9)) = 6(x - 4)

y + 9 = 6(x - 4)

This is the point slope form of the line

Answer:

53 is the average value.

Step-by-step explanation:

To find the average, or mean of multiple values you first add them all up:

38+48+58+68=212

Then you count how many different numbers there are, (there are 4 numbers here, if there are 2 of the same numbers you still count them both, just so you understand).

Then you need to divide the total you got, 212, by the total amount of numbers, 4, to get the average amount, 53.

I hope that my answer has helped you, have a great day, ask any questions you have below.

Answer:

685,000

Step-by-step explanation:

Answer:

685327.000

Step-by-step explanation:

Answer:

I don't know

Step-by-step explanation:

The smaller duct removes 190 cubic feet of air per minute and the larger duct removes 335 cubic feet of air per minute.

A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.

Let's assume that the smaller duct removes 'x' cubic feet of air per minute.

So, The larger duct removes (2x - 45) cubic feet of air per minute.

∴ x + (2x - 45) = 525.

3x = 525 + 45.

3x = 570.

x = 190.

So, the smaller duct removes 190 cubic feet of air per minute and the larger duct removes (2(190) - 45) = 335 cubic feet of air per minute.

learn more about linear equations here :

https://brainly.com/question/11897796

#SPJ2

Answer:

1. 6²=36

2. 289[tex]\frac{1}{2}[/tex] = 17

3. [tex]14^{-2}[/tex] = [tex]\frac{1}{196}[/tex]

4. 10³=1000

5. [tex]5^{4}[/tex]=625

Step-by-step explanation:

Answer:

1. 6² = 36

2. 289^1/2 = 17

3. 14^-2 = 1/196

4. 10³ = 1000

5. 5⁴ = 625

Step-by-step explanation:

I just used the rule that logₓy = n means that xⁿ = y and a logarithm without a base, has a base of 10 (called a "common logarithm").

Answer:B

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

               3x = -6 --->  x = -2

Answer:63

Step-by-step explanation:

Took the test

Using the equation for the line of best fit of the scatterplot, the predicted arm span is: 63 inches.

The line of best fit for a scatter plot is modelled as y = mx = 2, where m is the slope and b is the initial value.

Given the equation of the line of best fit as, y = x + 2, to find the predicted arm span, y, for a girl who is 61 in. tall (x), substitute x = 61 into y = x = 2.

y = 61 + 2

y = 63

Therefore, using the equation for the line of best fit of the scatterplot, the predicted arm span is: 63 inches.

Learn more about line of best fit on:

https://brainly.com/question/17143626

30 Chocolates

The box was new and therefore full, so it had 5/5 of chocolates left.

When Bob ate 18, 2/5 were left, so he must have eaten 5/5 - 2/5 or 3/5 of the chocolates:

5/5 - 2/5 = 3/5

You know that 3/5 of the chocolates are 18, as he ate 18 chocolates. Divide 18 by 3 to get 6:

18 / 3 = 6

This is 1/5 of the chocolates. Multiply this by 5 to get 30:

6 * 5 = 30

This is 5/5 of the chocolates and therefore the total is 30 chocolates.

Answer:

commutative property of multiplication

Step-by-step explanation:

Name the property used: commutative property of multiplication

Answer: commutative property of multiplication

Answer: So the multiplies of 3 on a ten sided die are 3, 6, and 9. theoretically each side should be rolled 25 times (250/10=25). Lewis would be expected to roll a multiple of three 75 times

Step-by-step explanation: Please mark brainliest

Answer:

75 -- i think

Step-by-step explanation:

let me know if im right.

Answer:

The Awnser is 27 for both I did that I-ready before

Step-by-step explanation:

Answer:

27 for both blanks

Step-by-step explanation:

I just did it on iready and I got it correct

Answer:

Step-by-step explanation:

slope m = Δy/Δx = (6 - (-6)) / (2 - (-4)) = 12/6 = 2

b is the y intercept when x = 0.

b = 2

y = 2x + 2

Answer:

3.25?

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

He now earns:

450/40 = 11.25 dollars per hour.

So he gets 11.25 - 8

= 3.25 dollars more.

Answer:

Kevin Drove For 6 Hours and 40 Minutes

Step-by-step explanation:

56 times 6.4 Equals 358.4

Convert it into miles 56MI X 6.4(HR) = 358.4MI

Answer:

50 hours

Step-by-step explanation:

Answer:

The factors of 26 are 1,2,13,26 The prime factors of 26 are 2 and 13.

Step-by-step explanation:

Answer:

2 and 13

Step-by-step explanation:

First, we can see that the last digit of

26

is even, and thus

26

is divisible by

2

. If we divide by

2

, we find

26

2

=

13

. As

13

is a prime number, there are no further prime factors of

26

, and so the prime factorization of

26

is

2

×

13

.

[tex]\boxed{\sf E=Pt}[/tex]

E is energy

P is power

t is time in hours

Cost

Answer:

$0.12

Step-by-step explanation:

Conversions

  1000 watts = 1 kilowatt-hour
  ⇒ 1200 watts = 1.2 kilowatt-hour

  60 minutes = 1 hour
  ⇒ 30 minutes = 0.5 hour

A microwave requiring 1200 watts will use 1.2 kilowatts per hour.

If the microwave is used for a total of 30 minutes, it will use:

⇒ 1.2 × 0.5 =  0.6 kWh

If the cost is $0.20 per kWh, the cost of running the 1200 watt microwave for 30 minutes is:

⇒ 0.6 × $0.20 = $0.12

Answer:

The answer is sides are congruent by the reflexive property

Step-by-step explanation:

The answer is sides are congruent by the reflexive property because the two red lines on the triangles represnt that they are congruent. The reason teh fourth one can be a correct answer, but it is not, is because the angles are not vertical. The angles would hav eto be in teh middle of the triangle and congruent, to be right. So it is a reflexive property.

Sorry for any gramatical or spelling mistakes!

Answer: A

Step-by-step explanation:

Because 489 + 45

Answer:

1) equation

2) equation

3) expression

4) expression

Step-by-step explanation:

An equation has a result, or something that equals to .

Numbers 1 and 2 have the word "is" which means equaled to, so they are equations. 3 and 4 don't, so they are only expressions.

Hope that helped :)

Step-by-step explanation:

Examples:

[tex]a+4;\ 3b;\ \dfrac{x}{4}-\text{these are the expressions}\\\\x=5;\ c+5=3c;\ p=q-\text{these are the equations}[/tex]

[tex]1.\ n+4=12-\bold{the\ equation}\\\\2.\ 5\cdot n=50-\bold{the\ equation}\\\\3.\ C\cdot 7-\bold{the\ expression}\\\\4.\ 6\cdot(12+t)-\bold{the\ expression}[/tex]

Answer:

altogether can hold 360 books. Graphically solve a system of equations in order to determine the number of small boxes sent, x, and the number of large boxes sent, y.

Step-by-step explanation:

Answer:

Let be x the number of small boxes sent and y the number of large boxes sent.

Since each small box can hold 30 books (30x), each large box can hold 45 books (45y)and altogether can hold a total of 360 books, we can write the following equation to represent this:

30x+45y=360

According to the information provided in the exercise, there were 4 times as many large boxes sent as small boxes. This can be represented with this equation:

y=8-2x/3

Brainliest plz