simplify (25-4)3^ times 5

Answer:

v - √19

Step-by-step explanation:

the answer is v - √19

Result:

It will take Austin approximately 5.13 years to grow his investment to $4179, assuming no withdrawals are made.

We shall use the formula for compound interest to solve the problem

Using the formula for compound interest:

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

Where:

A = the future value (in this case, $4179)

P = the principal amount (in this case, $3000)

r = the annual interest rate (in this case, 4.6% or 0.046 as a decimal)

n = the number of times interest is compounded per year (in this case, quarterly, so n = 4)

t = the number of years

We have:

4179 = 3000\((1 + 0.046/4)^{4t}\)

Let's solve for t by isolating it on one side of the equation:

\((1 + 0.046/4)^{4t}\) = 4179/3000

Then, we take the natural logarithm of both sides to eliminate the exponent:

ln(\((1 + 0.046/4)^{4t}\)) = ln(4179/3000)

Using the property of logarithms that states ln(\(a^{b}\)) = b*ln(a):

4t * ln(1 + 0.046/4) = ln(4179/3000)

We can now divide both sides by 4 * ln(1 + 0.046/4) to solve for t:

t = ln(4179/3000) / (4 * ln(1 + 0.046/4))

We can use a calculator to find that t = ≈ 5.13 years (rounded to two decimal places).

Therefore, it will take approximately 5.13 years for Austin's investment to grow to $4179, if there are no withdrawals and the interest is compounded quarterly.

Learn more about compound interest at brainly.com/question/28020457

#SPJ1

The expression can be completed as 4 × (4 + 3)

A mathematical expression is a combination of numbers, symbols, and operations that represent a mathematical relationship or calculation.

Mathematical expressions can be used to represent a wide range of concepts, including algebraic equations, geometric formulas, and statistical models.

Looking at the pages:

On page 2, we have 4 stickers per row while on page 3 we have 3 stickers per row. Also, both page 2 and page 3 have 4 rows each. Thus, we can complete the expression as follows:

4 × (4 + 3)

Learn more about mathematical expressions on:

https://brainly.com/question/4344214

#SPJ1

Answer:

2,4,5,6

Step-by-step explanation:

Answer:

0, 4 and 2 fifths, 1.999, and 347, 595

or

2, 4, 5, 6

Step-by-step explanation:

Trust me on this, also can I have brainiest please?

Hope you do well! :D

I also did the instruction.

Answer:

C

Step-by-step explanation:

 2

+2

-----

 4

Peter left Town A around 10 a.m., traveling at an average speed of 84 km/h. William would reach Town B at 1:23 PM.

Firstly, we need to find the distance between Town A and Town B which can be calculated by calculating the distance travelled by Peter

Time taken by Peter = 2PM - 10AM

= 4 hrs

Speed of Peter = 84 km/h

Distance travelled by Peter = speed × time

= 84 × 4

= 336 km

So, the distance between Town A and Town B  = distance travelled by Peter = 336 km.

Now, we will calculate time taken by William.

Speed of William = 70 km / hr

Distance travelled by William = distance between Town A and town B = 336 km

Time taken by William = distance / speed

= 336 / 70 hr

= 4.8 hr

This can b converted into hrs and minutes

4.8 hr = 4 hr + 0.8 × 60

= 4 hr 48 mins

Time William took off = 10 AM - 1hr 25 mins

= 8:35 AM

Now, we will calculate the time William would reach town B.

Time = 8:35 + 4hr 48 mins

= 1:23 PM

To know more about speed:

https://brainly.com/question/31756299

#SPJ1

The value of the expression f(a) is f(a) = a^2 + 7a, based on the given function f(x) = x^2 + 7x and the value x = a

The given parameters in the question are:

f(x) = x^2 + 7x and

x = a as in f(a)

This means that the equation of the function f(x) is given as:

f(x) = x^2 + 7x

To calculate the value of the function f(a), we simply substitute a for x in the equation of the function f(x) = x^2 + 7x.

This means that we set x to a in the equation of the function f(x) = x^2 + 7x.

So, we have;

f(a) = a^2 + 7a

The above equation cannot be further simplified or expanded

So, we conclude that

Based on the given function f(x) = x^2 + 7x and the value x = a, the value of the expression f(a) is f(a) = a^2 + 7a

Read more about functions at:

https://brainly.com/question/15602982

#SPJ1

You will need to use the information in the table you are given. Subtract: (final velocity - initial velocity) and divide by (final time - initial time).

Leg-A:  

Speed = 15km/10min = 1.5 km/min

Leg-B:  

Speed = 20km/15min = (1 and 1/3) km/min

Leg-C  

Speed = 24km/12min = 2 km/min

Leg-D:  

Speed = 36km/9min = 4 km/min

Leg-E:  

Speed = 14km/14min = 1 km/min

Answer:

C. all real numbers except -3 and 2

Step-by-step explanation:

These two numbers will make the denominator equal to zero.

The domain of the rational expression is all real numbers except -3 and 2. The correct option is C.

The domain of the function is defined as the set of all the possible values of the function. The range of values that we are permitted to enter into our function is known as the domain of a function.

The x values for a function like f make up this set (x). A function's range is the set of values it can take as input. After we enter an x value, the function outputs this set of values.

Given rational expression is,

E = x(x-2/(x- 2)(x+ 3)

For the above rational expression when we substitute the values of x as 2 and -3 the rational expression will give undefined values.

Therefore, the domain of the rational expression is all real numbers except -3 and 2. The correct option is C.

To know more about the domain follow

https://brainly.com/question/2264373

#SPJ2

A) The measure of angle MNO is; 112°

B) The measure of angle ONQ is; 68°

C) The measure of angle PNQ is; 112°

D) The measure of angle MNP is; 68°

E)The measure of angle RST is; 143.5°

F) The measure of angle RSU is; 36.5°

G) The measure of angle TSV is; 36.5°

H) The measure of angle USV is; 143.5°

We know that vertically opposite angles are congruent. Thus;

∠MNO = ∠PNQ

Thus;

3x + 20 = 4x - 12

x = 32

∠MNO = 3(32) + 20 = 112°

Thus, ∠PNQ = 112°

Sum of angles on a straight line = 180°

Thus;

∠MNP = ∠ONQ = 180 - 112 = 68°

Sum of angles on a straight line = 180°

Thus;

∠RST + ∠TSV = 180

3x + 7 + x - 9 = 180

4x - 2 = 180

4x = 182

x = 182/4

x = 45.5°

∠RST = 3(45.5) + 7 = 143.5°

∠TUV = 180 - 143.5 = 36.5°

Read more about Missing Angles at; https://brainly.com/question/20387554

#SPJ1

Answer:

\( x = -2 \)   or   \( x= -3 \)

The solution is real.

Step-by-step explanation:

x^2 + 5x + 6 = 0

\( x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} \)

\( x = \dfrac{-5 \pm \sqrt{5^2 - 4(1)(6)}}{2(1)} \)

\( x = \dfrac{-5 \pm \sqrt{25 - 24}}{2} \)

\( x = \dfrac{-5 \pm \sqrt{1}}{2} \)

\( x = \dfrac{-4}{2} \)  or  \( x = \dfrac{-6}{2} \)

\( x = -2 \)   or   \( x= -3 \)

The solution is real.

x⁴ - 8x² + 17 is the function that represents the fog(x).

To find fog(x), we first need to find g(f(x)), which means we need to substitute the expression for f(x) into the expression for g(x):

g(f(x)) = g(x² - 4)

Now, we can substitute the expression for g(x) into the above expression:

g(f(x)) = (x² - 4)² + 1

Expanding the squared term, we get:

g(f(x)) = x⁴ - 8x² + 17

Therefore, fog(x) = g(f(x)) = x⁴ - 8x² + 17.

Learn more about function here:

https://brainly.com/question/29633660

#SPJ1

Complete question:

f(x) = x² - 4 and g(x)= x^2 + 1  find fog(x).

Solution:

The probability of an event is expressed as

Given that:

This implies that the number of possible outcomes is 20.

Provided that once a marble is drawn, it's replaced, the probability of selecting a red marble then a blue marble is expressed as

where

Thus, we have

Hence, the probability of selecting a red then a blue marble is

Answer:

K

Step-by-step explanation:

(1*500 * 5) + (10 * 3*500)

Answer:

X= 32

Explanation:

I have run the answer through all the calculation I could think of and of them came out to this. Please tell me if I'm incorrect.

-Rocketgamer360

The evaluation of function will give the result f(3) = 1

To find the value of function given in question, we will simply keep the desired value in place of variable x.

Rewriting the equation

f(3) = 2x - 5

Keep the value of x in equation, as given in question

f(3) = 2×3 - 5

Performing multiplication to find the value of x in equation given in question

f(3) = 6 - 5

Performing subtraction to find the value of x in equation given in question

f(3) = 1

Therefore, the result of evaluation of given function is f(3) = 1.

Learn more about function -

https://brainly.com/question/17043948

#SPJ9

Answer:

Step-by-step explanation:

Its 4.51

Answer: 21

Given:

  |7 + (-12)| + |-16|

Absolute value of -16:

  |7 + (-12)| + 16

Addition times subtraction is subtraction:

  |7 - 12| + 16

Subtract:

  |-5| + 16

Absolute value of -5:

  5 + 16

Add:

  21

The quantity provides the best measure of the television show’s popularity is the number of streams per episode.

We anticipate that independent variables will have an impact on dependent variables. What occurs as a result of the independent variable is referred to as a dependant variable.

The dependant variable is what changes as a result of the independent variable, which is what you modify.

The most accurate indicator of a television show's popularity on a streaming service is the number of streams each episode.

This is because, rather than just the length of the episodes or the number of episodes every season, the number of streams directly represents the number of viewers who are actively choosing to watch the show.

The number of streams also considers re-watchability and binge-watching, which are further indicators of how popular a show is.

Learn more about Independent and Dependent Variable here:

https://brainly.com/question/1479694

#SPJ7

The expression is equivalent to 1/3(9x + 12) + 4x + 6 will be 7x + 10. Then the correct option is B.

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ 1/3(9x + 12) + 4x + 6

Simplify the expression, then we have

⇒ 1/3(9x + 12) + 4x + 6

⇒ 3x + 4 + 4x + 6

⇒ 7x + 10

The expression is equivalent to 1/3(9x + 12) + 4x + 6 will be 7x + 10. Then the correct option is B.

More about the equivalent link is given below.

https://brainly.com/question/889935

#SPJ2

19, 15.5

20, 25

21, 1/16

22, 4

23, 11

24, 8

25, 19.5

26, 30

27, 4

28, 56

29, 6.5

30, 4

31, 21

32, 112

33, 3,200

here are they

Answer:

2x + 2y = 24

Step-by-step explanation:

You have to isolate y and then use substitution.

x + y = 12       and         y = x - 1        

-x       -x          

y = -x + 12       and         y = x - 1

-x + 12 = x - 1

+x          +x

--------------------

12 = 2x - 1

+1          +1

----------------

13 = 2x

2x = 13              [ divide both sides by 2]

x = 6.5

Now, you have to plug x (6.5) into y = x - 1.

y = x - 1

y = 6.5 - 1

y = 5.5

Finally, plug both x (6.5) and y (5.5) into 2x + 2y.

2x + 2y

= 2 (6.5) + 2 (5.5)

= 13 + 11

= 24

Answer:

Step-by-step explanation:

Answer:

18/20 or 0.9 in decimal form

Answer:

The p-value of the test statistic from the standard normal table is 0.0017 which is less than the level of significance therefore, the null hypothesis would be rejected and it can be concluded that there is sufficient evidence to support the claim that less than 20% of the pumps are inaccurate.

Step-by-step explanation:

Here, 1304 gas pumps were not pumping accurately and 5689 pumps were accurate.

x = 1304, n = 1304 + 5689 = 6993

The level of significance = 0.01

The sample proportion of pump which is not pumping accurately can be calculated as,

The claim is that the industry representative less than 20% of the pumps are inaccurate.

The hypothesis can be constructed as:

H0: p = 0.20

H1: p < 0.20

The one-sample proportion Z test will be used.

The test statistic value can be obtained as:

\(Z=\frac{\hat{p}-P}{\sqrt{\frac{P(1-P))}{n}}}\\\\Z=\frac{0.186-0.20}{6993}\\\\Z=-2.927\)

Sorry if I didn't understand the question right-

Answer:

\(\frac{49}{6}\)

Step-by-step explanation:

The inverse of \(\frac{3}{7}\) is \(\frac{7}{3}\).

The inverse of \(\frac{2}{7}\) is \(\frac{7}{2}\).

Now we multiply:

\(\frac{7}{3}\) × \(\frac{7}{2}\) = \(\frac{49}{6}\)

Hope this helped :)