Use deductive reasoning to show that AC is congruent to DF

Answer:

A) $2,344.53

B) $2,340.36

C) Based on my answer in A and B, the Option i would choose is Option A. This is because the amount i would receive after 2 years in Option A is higher than that of Option B

Step-by-step explanation:

We solve for A and B using Compound Interest formula

A). You plan to invest $1978 in an account with two different options. Option 1 earns 8.5% annually, with interest to be compounded continuously. How much money would you have in the account after 2 years?

First, convert R as a percent to r as a decimal

r = R/100

r = 8.5/100

r = 0.085 rate per year,

Then solve the equation for A

The formula is given as

A = Pe^rt

A = 1,978.00(2.71828)(0.085)(2)

A = $2,344.53

B). You plan to invest $1978 in an account with two different options. Option 2 earns 8.5% annually, with interest to be compounded quarterly. How much money would you have in the account after 2 years?

First, convert R as a percent to r as a decimal

r = R/100

r = 8.5/100

r = 0.085 rate per year,

Then solve the equation for A

The formula is given as

A = P(1 + r/n)^nt

P = Principal = $1978

r = 0.085

n = compounded quarterly = 4

A = 1,978.00(1 + 0.085/4)(4)(2)

A = 1,978.00(1 + 0.02125)(8)

A = $2,340.36

C). You plan to invest $1978 in an account with two different options. Based on your two previous answers, which option would you choose and why?

Based on my answer in A and B, the Option i would choose is Option A. This is because the amount i would receive after 2 years in Option A is higher than that of Option B

Answer:

8

Step-by-step explanation:

V=whl=2·1·4=8

Volume = width times length times height = 2 x 1 x 4 =8

I hope this helps!!

Answer:

Step-by-step explanation:

Calculator Use

A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.

Answer:

A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.

1

Step-by-step explanation:

Answer: A. The graph for Awesome Autos does not begin at 0 and makes its prices appear less than those of Cool Cars.

Answer:

Yes

Step-by-step explanation:

Yes, equation 3(-15) is basically saying that you are spending -15, 3 times and that those two numbers are being multiplied together which would give you the total cost of all the shirts you are buying. That being said, no purchase would be a negative value, this is most likely an error made when writing the question but the cost of each individual shirt should be $15 and not -$15. Therefore making the actual equation 3(15). We can even equal this to the variable C which would represent the total cost of the purchase and make it more of a real equation.

C = 3(15)

Answer:

O s(e(x)= 0.54

Step-by-step explanation:

sana makatulong

Answer:

A.) 1.2

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

Let x represent the quantity of 12% solution in the mix. The the total amount of acid is ...

  12%x +4%(12 -x) = 9%(12)

  8x = 60 . . . . . . . . . . divide by %, subtract 48

  x = 60/8 = 7.5 . . . . . ounces of 12% solution

  12 -x = 4.5 . . . . . . . . ounces of 4% solution

_____

Additional comment

You could leave out the part about what happens to Mrs. V without changing the math problem.

Answer:

J Compound interest; $298.65

Step-by-step explanation:

Interest compounding pays interest on the interest. For the same annual rate, any amount of compounding will earn more interest.

For short time periods, the effect of compounding is not great. In general, it will be a fraction of the equivalent simple interest rate. Here, the effective multiplier for annual compounding is ...

  1.051^4 = 1.22024337

and the effective multiplier for simple interest is ...

  1 +0.051·4 = 1.204

Then the difference in interest rate multiplier for the 4-year period is ...

  1.22024337 -1.204 = 0.01614337

That fraction of the $18500 principal is $298.65.

Compound interest earns $298.65 more than simple interest in this scenario.

Hope this helps, have an amazing day!

Answer:

(2,9)

Step-by-step explanation:

we start at the point (2,3) and moving up 6 units

when we move up or down, we are changing the value of the y-coordinate. Since we are moving up, the value of the y-coordinate increases (makes sense, if you are thinking about a graph. The further you go up, the larger the y value becomes).  

However, the x-coordinate will stay the same (no instructions on moving left or right {that changes the x value}). That means the y value will increase by 6 while the x value will stay the same.

so add 6 to 3 and get 9, and add nothing to 2

therefore, the point we end on will be (2,9)

if you would like to see a graph for clarity/visualization, please see below

Answer:

the answer is :c^5 b^3

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - x + 4 ← is in slope- intercept form

with y- intercept c = 4 → D

Answer:

The person above me is right, it is 0.3 or 1/3

Step-by-step explanation:

Answer:

3 lbs

Step-by-step explanation:

There are 16oz in 1 lb

Therefore, 2 pieces of pie is 1 lb

Divide 6 by 2 and you get 3 lbs

Answer:

4090 ml - 4.9L

1.4km - 4901m

Step-by-step explanation:

A liter is made up of 1000 ml so 4.9 l is equvilant to 4,900 ml.

A kilometre same as litre is made up of a 1000 m. So 1.4 km is 1400m

However, ml and l is a measurement of volume while m and km is a measurement of distance.

The probability that a student selected at random plays a musical instrument and tried out for the class play is 25%.

To find the probability that a student selected at random plays a musical instrument and tried out for the class play, we need to multiply the probabilities of each event happening.

Given:

Probability of a student playing a musical instrument = 1/3

Probability of a student who plays an instrument trying out for the class play = 3/4

To find the combined probability, we multiply these probabilities:

Probability = (1/3) * (3/4)

Simplifying the multiplication:

Probability = 1/4

Converting the fraction to a percentage:

Probability = 1/4 * 100% = 25%

Therefore, the probability that a student selected at random plays a musical instrument and tried out for the class play is 25%.

To know more about  probability  here

https://brainly.com/question/23417919

#SPJ2

1. C

2. D

3. A

4. A

5. C

6. A

7. Do yourself

Step-by-step explanation:

A. y= 3x -8

x = 3y -8

3y = x +8

y = (x+8)/3

B x = 1/2y +6

1/2y = x-6

y = 2x - 12

C x = y + 6/2

y = x - 6/2

Answer:

What's your question?

Step-by-step explanation:

Answer:

Where is the question?

Answer:

Step-by-step explanation:

solution is w = 6.6

Answer:

doze pulgadas12

Step-by-step explanation:

The only thing that matters of the world the same as a result of a few days later I have been a little bit of everything from the University to the point where the first place in the world and I have a feeling of being able to do it in the first half and half the size of a small amount of the most popular to

Answer: 26.85

I’m sorry, I don’t have a step by step thing but that should be the answer.

Answer:

G. 3x²-1

.......................

Step-by-step explanation:

since they are in order points p and q are in the middle and points O and R are on the end so they say that OR=36 since you don't know the exact lengths of all of the lengths in the middle from O to R then you multiply 5,6 and 1 by x and add

5x+6x+1x=12x

so then the whole length is equal to the ratio of 12x and also 36 so set those to equal each other

12x=36

x=3

so that is just the ratio and since they are asking for the length of O to Q that means that it is just 5x+6x=OQ

11x=OQ

insert x=3

33=OQ

Hope that helps :)

Answer:

{t element R : t!=-2 and t!=4}

(assuming a function from reals to reals)

Step-by-step explanation:

Answer:

7(x+8) and 7(x) + 7(8)

Step-by-step explanation:

Answer:

none are correct but d is I think the answer

Step-by-step explanation:

becuase of the way you are suppose to do the work

Answer:

6

Step-by-step explanation:

n - number

9n + 4 = 58

9n = 54

n = 54/9 = 6

Answer:

100 %

Step-by-step explanation:

n<13, you only have numbers from 1 to 12. This means that any number that you will pick will be less than 13