greatest common factor of 34c^3 and 2c^5

Answer:

The final balance is $7,913 and the total compound interest is $413.27

To calculate compound intrest, you need to multiply the initial principal amount ($7500) by one , plus the annual intrest rate (2.7%) raised to the number of compound periods minus one. The total initial amount of the loan is the subtracted from the resulting value.

After two years, the balance on the account will be $7916 if April invested $7500 into a continuously compounded account with an interest rate of 2.7% for 2 years.

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

It is given that:

April invested $7500 into a continuously compounded account with an interest rate of 2.7% for 2 years.

The formula to find the money is:

[tex]\rm A = Pe^{rt}[/tex]

Here P = $7500

r = 2.7% = 0.027

t = 2 years

[tex]\rm A = 7500e^{0.027\times2}[/tex]

After solving:

A = 7916.13 ≈ 7916

Thus, after two years, the balance on the account will be $7916 if April invested $7500 into a continuously compounded account with an interest rate of 2.7% for 2 years.

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Answer:

$2.25

Step-by-step explanation:

To find the cost per pound you have to divide $54 by 24.

Answer:

x==18

Step-by-step explanation:

Original Question :

[tex]6 = \frac{x + 2}{3} [/tex]

(You will need to Find LCM)

[tex]6(6) = (\frac{x + 2}{?3})6[/tex]

(You will then multiply 6 by 6)

(With the three you will divide 6 by 3)

[tex]36 = (x + 2)2 \\ [/tex]

(Since three can divide 6 2 times that's why we have two outside the bracket)

36=2x+4

We got this and because you will multiply 2 by the ones in the bracket

So the 4 will cross the equal sign making it negative

[tex]36 - 4 = 2x[/tex]

You will then proceed to simplify which is going to be;

[tex]32 = 2x[/tex]

We got 32 because 36-4 is 32

After this you divide both sides by 2

[tex] \frac{36}{2 ?} = \frac{2x}{2?} [/tex]

36 divided by 2 is;, 18 and 2 will cancel each other out leaving x alone

So;

[tex]x = 18[/tex]

Answer:

4a-12

Step-by-step explanation:

4(a-3)=4a-4×3=4a-12

Answer:

Thanks Willy Wonka luv ya

Answer:

1 figure

x=115°

2 fig

x=115°

3 fig

x=58°

Step-by-step explanation:

Answer:

D. XZ

Step-by-step explanation:

Answer:

x would equal -3

Step-by-step explanation:

want to get rid of 14 from each side so 14 - 14 would get rid of that 20 - 14 = 6 now you still have a negative 2x

-2x / -2x gives you X to be alone now divide 6 with -2 which gives you -3

The value of x is -3.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

14 -2x = 20

Now, solving for x

Subtract 14 both side

14- 2x - 14= 20- 14

-2x = 6

Divide by (-2)

-2x/(-2)= 6/ (-2)

x= -3

Hence, the value of x is -3.

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The decimal number that is multiplied by 10 must be less than a two-digit number.

We move the decimal point to the left for this problem and stop where the decimal is less than a two-digit number.

So, 956.3 becomes 9.56 after moving two places to the left. Moving to the left makes the exponent of 10 positive. Moving to the right, makes the exponent of 10 negative.

We want our answer in the form

(decimal number) x 10^(n).

Answer: 9.56 x 10^2

Understand???

Answer:

7:41

Step-by-step explanation:

19 1/5 as a decimal is 19.2, and the mileage would be 2.5. to find the time per mile, you divide the finish time by the number of miles you ran:

  19.2 / 2.5 = 7.68

now you're prolly wondering, "why isn't the answer 7.68?" that's a good question, and the reason that 7.68 isn't the answer is bc time is all in factions of 60, not 100 like most things, so there are 60 seconds in a minute, instead of 100 seconds in a minute.

so, you have to find out how many seconds are in 0.68 of a minute. to do this, you multiply 60 by 0.68:

  60 x 0.68 = 40.8

so 0.68 of a minute is 40.8 seconds, so your average pace was 7:40.8. i would just round up to 7:41, but your teacher may want exact numbers.

hopefully that helps and isn't too confusing! if you need any other help, let me know! :)

Answer:

$56.41

Step-by-step explanation:

You have to divide the total bill by the sales tax and the multiply that number by 100. Then subtract that number from the total bill and that's how you get your answer.

Answer:

Step-by-step explanation:

Answer:

21%

Step-by-step explanation:

195 divided by 245 = 0.79 approximately

100-79=21

Always divide the small number by the big number for percentages

Good luck!

Answer:

x = 4; y = 12

Step-by-step explanation:

The value of x and y is 4,12., the correct option is C.

A matrix is an array of numbers or expressions used in mathematics to solve a system of equations.

The matrix A is

[tex]\begin{pmatrix}1/2 & 1/4\\ 9& -3\end{pmatrix}[/tex]

The matrix Ax is

[tex]\begin{pmatrix}5 & 1/4\\ 0& -3\end{pmatrix}[/tex]

The matrix Ay is

[tex]\begin{pmatrix}1/2 & 5\\ 9& 0\end{pmatrix}[/tex]

The determinant for all the matrices is

|A| = -15/4

|Ax| = -15

|Ay| = -45

The value of x is (|Ax|) /(|A|) = -15 / (-15/4) = 4

The value of y is ( |Ay|)/(|A|) = -45 /(-15/4) = 12

Therefore, the value of x and y is 4,12., the correct option is C.

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Answer:

n = 9

Step-by-step explanation:

7n + 5 = 68

7n + 5 - 5 = 68 - 5

7n = 63

7n / 7 = 63 / 7

n = 9

Answer:Price after discount: $76.80

You saved: $3.20

Step-by-step explanation:

Answer:

20 feet is the answer

Answer:

2

Step-by-step explanation:

Answer:

[tex] (x + 1)^2 + (y - 7)^2 = 100 [/tex]

Step-by-sep explanation:

Given:

Diameter of circle = 20 units

Center of circle = (-1, 7)

Standard form of the equation of a circle is expressed in the center-radius form as:

[tex] (x - h)^2 + (y - k)^2 = r^2 [/tex],

Where,

h = -1

k = 7

r = ½ of diameter = ½(20) = 10 units

Plug in the values into the equation

[tex] (x - h)^2 + (y - k)^2 = r^2 [/tex]

[tex] (x - (-1))^2 + (y - 7)^2 = 10^2 [/tex]

[tex] (x + 1)^2 + (y - 7)^2 = 100 [/tex]

The equation of the circle is [tex]\mathbf{(x +1)^2 + (y -7)^2 =100}[/tex]

The standard form of the equation of a circle is:

[tex]\mathbf{(x -a)^2 + (y -b)^2 =r^2}[/tex]

From the question, we have:

[tex]\mathbf{(a,b) = (-1,7)}[/tex]

[tex]\mathbf{r = \frac{1}{2} \times 20 = 10}[/tex]

So, the equation becomes

[tex]\mathbf{(x -a)^2 + (y -b)^2 =r^2}[/tex]

Substitute values for (a), (b) and (r)

[tex]\mathbf{(x +1)^2 + (y -7)^2 =10^2}[/tex]

Express 10^2 as 100

[tex]\mathbf{(x +1)^2 + (y -7)^2 =100}[/tex]

Hence, the equation of the circle is [tex]\mathbf{(x +1)^2 + (y -7)^2 =100}[/tex]

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Answer:

D. n1 and n2 can be of different sizes

Step-by-step explanation:

When we are trying to develop interval estimate for difference between two populations, we first select two samples from these populations. We get the interval using the required statistic.

These are:

- Sample size of both populations. Which are n1 and n2 respectively.

- then the Sample mean of two populations

- sample standard deviation.

The samples of different sample sizes can be used and we are not obligated to make use of the same sample size.

Answer:

Im not sure what the question is

Step-by-step explanation:

Answer:

I think it might be $36,360.06

Step-by-step explanation:

Answer:

3 inches=60 miles

Step-by-step explanation:

Multiply 0.5 times 6 because 1/2 an inch equals 10 miles. 0.5 x 6 = 3. 6 x 10 = 60. The actual distance between Aurora Springs and Glendale is 60 miles or 3 inches

Answer:

8x^6

Step-by-step explanation:

Brainliest

The answer fam is........True (212°F)

Answer:

I CANT SEE IT sorry caops

Step-by-step explanation:

if i could see i could answer

Answer:

what are the equations

Step-by-step explanation: