Cynthia invested $12,000 in a savings account. If the interest rate is 6%, how much will be in the account in 10 years by compounding continuously? Round to the nearest cent.

Answer:

1. 0.55

2. 11.36 (12)

Step-by-step explanation:

Question 1

If the price of one gallon is 2.09, and the conversion rate of gallon to litre is:

1 gallon : 3.785l

We can divide the cost of one gallon by the equivalent of 1 gallon in litres:

2.09 ÷ 3.785 = 0.5521

= 0.55

Question 2

If one quart is 4kg, and we need to find the total number of quarts in 100 pounds, we can convert kg into lbs and divide:

1kg = 2.2lbs

4kg = 4(2.2)lbs

4kg = 8.8lbs

Now divide 100lbs by this:

100 ÷ 8.8 = 11.3636

= 11.36

Technically this should be rounded up to 12 quarts as you wouldn't be able to have 0.36 quarts but just in case.

Hope this helps!

Answer:

Step-by-step explanation:

Hmmmm... Several big questions about this simple phrase.

1) Are you using the European convention of using a period as an American would use a comma? Does 2.200 mean 2200 or 2.2 with precision to the nearest thousandths.

I will ASSUME you are using the European form and 2.200 = 2200

2) PEMDAS says multiply and divide are equal weight so complete as read left to right.

2200/54 = 40.740740740...

40.740740740...•20 = 814.814814814814...

or, if this is really supposed to be

2.200 / (54(20)) then = 2.037037037037...

Then again, the symbol between the 4 and last 2 is not really a multiplication symbol. It's more of a circle. Now does that mean degrees? and if degrees, are they temperature or angular? Or does that circle indicate an exponent of zero, in which case 54° = 1  and PEMDAS would say the result is 0.110 to an American and 110 to a European.

What we have here is a failure to communicate.

Answer:

X=11º

Y=26º

Step-by-step explanation:

77=7x      11=x

180=77+77+y        26=y

Step-by-step explanation:

x² = 16

x = ±√16

x = ±4

x = -4 or 4

Using the condition for the hypothesis test of a proportion, it is found that since there are at least 10 successes and 10 failures in the sample, it is sufficient for him to use a simple random sample of 189 cars.

To test an hypothesis involving a proportion p in a sample of size n, it is needed that there are at least 10 successes and 10 failures, that is, these following conditions are needed.

In this problem:

Then:

[tex]np = 189(0.06) = 11.34 \geq 10[/tex]

[tex]n(1 - p) = 189(0.94) = 177.66 \geq 10[/tex]

Hence, since there are at least 10 successes and 10 failures in the sample, it is sufficient for him to use a simple random sample of 189 cars.

A similar problem is given at https://brainly.com/question/24261244

40 seats for that many people

9514 1404 393

Answer:

  3/45

Step-by-step explanation:

To find the numerator, multiply the desired denominator by the fraction.

  x/45 = 1/15

  x = (45)(1/15) = 45/15 = 3

The equivalent fraction is 3/45.

Answer:

not similar 2 and 3

Step-by-step explanation:

Answer:

The additive inverse of 16 5/7 is -16 5/7

Step-by-step explanation:

Basically, additive inverse is changing of signs (+ -)

Hoped this helped.

Answer: A) 6x = 54; x = 9 times older

Step-by-step explanation:

9 x 6 = 54

Step-by-step explanation:

In order to multiply fractions and mixed numbers, you must first transform the mixed number into a single fraction (will most likely turn into an improper fraction).  An improper fraction is a fraction where the numerator is greater than the denominator.

Suppose that you were given the following fractions to multiply:

[tex]\large\mathsf{\frac{5}{7}\:\times\:2\frac{3}{5}}[/tex]

The first step is to transform the mixed fraction, [tex]\large\mathsf{2\:\frac{3}{5}}[/tex], into a single fraction.

You will have to multiply the denominator with the whole number, then add the numerator. The denominator does not change when you do this transformation processs.

The mixed fraction will now turn into the following improper fraction:

[tex]\large\mathsf{2\:\frac{3}{5}}[/tex]   ⇒  [tex]\large\mathsf{\frac{13}{5}}[/tex]  

Now, you will be able to multiply [tex]\large\mathsf{\frac{5}{7}}[/tex] and [tex]\large\mathsf{\frac{13}{5}}[/tex]  together by multiplying the numerator, 5 and 13 and the denominator, 7 and 5.

[tex]\large\mathsf{\frac{5}{7}\:\times\:\frac{13}{5}\:=\:\frac{5\:\times\:13}{7\:\times\:5}\:=\:\frac{65}{35}}[/tex]

Since the product of the two fractions is an improper fraction, it is often customary to express the fraction into its lowest terms. Given the improper fraction, [tex]\large\mathsf{\frac{65}{35}}[/tex], the greatest common factor between 65 and 35 is 5.

Hence, we could simply divide the numerator and the denominator by [tex]\large\mathsf{\frac{5}{5}}[/tex] to simplify the fraction.

[tex]\large\mathsf{\frac{65}{35}\:\div\:\frac{5}{5}\:=\:\frac{13}{7}}[/tex]

Therefore, the final answer is: [tex]\large\mathsf{\frac{13}{7}}[/tex] .  To transform this improper fraction into a mixed number,  simply divide its numerator by the denominator, thereby resulting into the following mixed number:  [tex]\large\mathsf{1\:\frac{6}{7}}[/tex].

Answer:

Combine the like terms. In this equation there are two like terms. They both are xy. Note: When there is no number in front of a term, you can assume that the number is 1.

5xy - 1xy

Subtract normally and then attach the xy.

4xy

Hope this helps! :)

Answer:

X(5y-y)

Step-by-step explanation:

Answer:

In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle. The length of the hypotenuse can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.

Step-by-step explanation:

I think your answer may be 100?

Double Checked on this site, it correct:

Answer:

8

Step-by-step explanation:

Answer:

Step-by-step explanation:

The cost of one throw blanket was 3(1.0825) = 3.2475

1 blanket costs 3.2475

x blankets cost 29.22                  Cross multiply

3.2475 x = 29.22                          Divide by 3.2475

x = 29.22/3.2475

x = 9 dollars.                                 The person writing the question and I differ by 1/433 because we rounded at different times. You should round at the end.

Answer:

94.85 rounded to the nearest tenth is 94.9

Answer:

19/4

Step-by-step explanation:

4x - 3 = 16

4x - 3 + 3 = 16 + 3

Simplify:

4x - 3 + 3 = 16 + 3

4X = 16 + 3

4x = 16 + 3

4X = 19

Then divide:

4x = 19

4X/4 = 19/4

Simplify:

x = 19/4.

(5, 40) is not on the line.

Equation: 8x + y = 200.

Plug in our choosen point: 8(5) + (40) = 200.

Mulitply: 40 + 40 = 200

Add: 80=200

Answer: 80≠200

This works for your problem.

Answer:

12x the second -12x -16

Step-by-step explanation:

Solving systems of equations with 3 variables is very similar

Answer:

[3,2,7]

Step-by-step explanation:

Answer:

sara has 18 rings

sammie has 25 rings

Step-by-step explanation:

Emilio has 34

Sammie has 9 less than Emilio

34-9=25

Sammie has 7 more than sara

25-7=18

sara has 18

The number of rings that Sammie and Sara will have will be 25 and 18 respectively.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

Suppose the number of rings Sammie have is "S" the number of ring Emilio have is E and the number of rings that Sara has is "Sr"

As per the given,

S = E - 9

S = Sr + 7

And , E = 34

By substitution,

S = 34 - 9 = 25 and Sr = 25 - 7 = 18

Hence "The number of rings that Sammie and Sara will have will be 25 and 18 respectively".

For more about the equation,

https://brainly.com/question/10413253

#SPJ2

Answer:

a

Step-by-step explanation:

The equation that can be used to determine the length of each equal piece is [tex]4x + 2\dfrac{1}{4} = 12[/tex] and this can be determined by forming the linear equation.

Given :

The following steps can be used in order to determine the equation that can be used to determine the length of each equal piece:

Step 1 - The linear equation can be formed in order to determine the equation that can be used to determine the length of each equal piece.

Step 2 - Let the length of one piece be 'x'.

Step 3 - So, the linear equation that represents the total length of the board is:

[tex]4x + 2\dfrac{1}{4} = 12[/tex]

Therefore, the correct option is C).

For more information, refer to the link given below:

https://brainly.com/question/2564656

Answer:

25 days

Step-by-step explanation:

200/8 = 25

25 days

Answer:

25 days

Step-by-step explanation:

You would take 200 ÷ 8 to get the amount of days it took her to make the frogs, which is 25 days because 8 × 25 = 200.

Answer: Varies

Step-by-step explanation: "Set" relates to a group of numbers and "theory" connects to how the numbers work.

Answer:

If you mean fraction wise then it is 2 1/2

Step-by-step explanation:

2 is the whole number and 1/2 is half of 1.

Answer:

12

Step-by-step explanation:

the triangle is isosceles- right angled triangle

(6sqrt2)^2+(6sqrt2)^2=x^2

therefore x=12

Step-by-step explanation:

Roots : x = -1 and x = 4

Roots x = -1 & x = -4

Neither

∆ FIG ≈ to ∆ IGH

- BRAINLIEST answerer

The segments JF and JI are congruent to each other because straight lines mean congruent lines. The arrow shape line means parallel.

(Can I get the brainliest)