15% of 24% of $3500 is $___?

Answer:

So the answer is approximately 18 years

Step-by-step explanation:

Your interest rate is 6.25%, or, 0.0625

A=P⋅(1+(r/n))^nt

Where:

P is the initial amount

r is annual rate of interest

t is number of years

A is the final amount of money

n is the number of times the interest is compounded per year

So

3P=P(1+0.0625)

3P=P (1.0625)^t

3=1.0625^t

Now we should use logarithmic functions.

ln(3)=t⋅ln(1.0625)

ln(3)ln(1.0625)=t

t=18.12 years

Answer:

(-∞,∞)

Range (-∞,∞)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Regs.

Spinner A and Spinner B below are each to be spun once.

0 18

O 12

6

Spinner A

5

2

4

00

The equivalent expression containing a sine term only is:
p() = √34sin( + arctan(3/5))

To find the equivalent expression for the given function p() = 5sin() + 3cos() containing only a cosine term or a sine term,

we can use the trigonometric identity sin(A + B) = sin(A)cos(B) + cos(A)sin(B).

Our goal is to find A and B such that p() = Rsin( + ) where R is the amplitude.
Step 1: Express the function using the trigonometric identity.
p() = Rsin( + )
      = R(sin()cos() + cos()sin())
Step 2: Compare the coefficients of sin() and cos().
From the given function, p() = 5sin() + 3cos(), we can see that the coefficients are 5 and 3.

In the expression R(sin()cos() + cos()sin()), the coefficients are Rcos() and Rsin().

Therefore, we have:
5 = Rcos() and 3 = Rsin()
Step 3: Find R and .
We can use the Pythagorean theorem to find R:
R² = (5)² + (3)²
R² = 25 + 9
R² = 34
R = √34
Now, to find , we can use the tangent function:
tan() = (3/5)
= arctan(3/5)
Step 4: Write the equivalent expression.

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Answer:

Step-by-step explanation:

90

Answer:

it's 2/5 (0.4)

Step-by-step explanation:

y-y1

-------

x-x1

8-6

----

9-4

2

--

5 = 2/5 =0.4

Answer:

yes it is correct 3/10+16/100=19/100

Part (a)

This is because the two slopes 2 and -1/2 multiply to -1. Perpendicular slopes multiply to -1 assuming neither line is vertical or horizontal.

=====================================================

Part (b)

Graph each line to see where they cross. The three points of intersection are

(0,4)

(2,-2)

(4,2)

The order of the points doesn't matter.

You could also form three systems of equations pairing up the equations, and solving each system. That way you can find the points of intersection. Graphing may be a better and faster route in my opinion. See the diagram below.

Answer:  c) y₁ and y₃ are perpendicular

Step-by-step explanation:

Perpendicular (⊥) means the lines have opposite (change the sign) and reciprocal (flip the fraction) slopes.

 y₁ = 2x - 6

        ↓

  m= 2

m⊥= -(1/2)

                          y₂ = -3x + 4

                                  ↓

                             m= -3

                           m⊥= +(1/3)

                                                         y₃ = -(1/2)x + 4

                                                                   ↓

                                                          m= -(1/2)

                                                       m⊥= +2

y₁ and y₃ have opposite reciprocal slopes so they are perpendicular to each other.

Answer:

Hey there!

I=PRT

1109.8=775(0.027)T

1109.8=20.93T

53=T

Jerry had the account for 53 years.

Let me know if this helps :)

Answer:

16 years

Step-by-step explanation:

Step 1: State what is given:

Current account balance is 1,109.80

Initial deposit is 775

2.7% simple interest

Step 2: Find 2.7% of 775

775 x 0.027 = 20.925

Step 2: Find how much money Jerry has earned from the interest

1,109.80 - 775 = 334.8

Step 4: Divide 334.8 by 20.925

334.8/20.925 = 16

Therefore Jerry has held the account for 16 years

The best way to solve an equation of the form Ax+by=c could be either substitution, completing the squares or graphical method depending on the type of equation given.

Quadratic equation

The equation in the form Ax+by=c is a quadratic problem which could be approached in different ways depending on the specific equation given and the information provided.

The methods of approach are substitution, completing the squares or graphical method which all have proven to be suitable ways to arrive at the solution.

Hence, either of the three methods are good ways to solve such equation.

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Answer:

-9

Step-by-step explanation:

164-43=121

121-139=-18

-18/2=-9

Answer:

-9

Step-by-step explanation:

164= x-43

164-43=x

x=121

164-43=121

121-139=18

-18/2= -9

Answer:

19 6/8 or 19 3/4

I’m not sure if you want the smallest possible fraction or not. If you don’t know just put the second one. K.

Answer:

5 + 24x

Step-by-step explanation:

Given phrase - Five more than the product of 24 and a number.

In the given phrase, the word "more" means "addition". Therefore,

The word "product" defines multiplication between two numbers. In this case, the product of 24 and a number is 24(number).

The question stated to use the "n" to represent the unknown number. Let the unknown number be known as "n".

Therefore, the expression is 5 + 24n.

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

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Answer:

h(x)=2x+7

h(8)=2(8)+7

h(8)=16+7

h(8)=23

Step-by-step explanation:

Put 8 in h(x) and simplify the equation.

In other words, put 8 wherever you see x and simplify the equation.

Step-by-step explanation:

hope you it will help you

Answer:

a) 1392.287 cm^2

Step-by-step explanation:

length of fg=eg = 9 cm

radian = 0.6

radian to degree = 0.6* 180/pi = 34.37746771 deg

so ..area of sector = 34.37746771/2 * 9^2 = 1392.287442 cm^2

Answer:

B. 100^6/7

Step-by-step explanation:

7th root is 1/7

(100^6)^1/7

multiply the exponents

6 * 1/7 = 6/7

The volume of the sphere is approximately 3431.82 cubic miles.

To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.

In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.

C = 2πr

60 = 2πr

Divide both sides of the equation by 2π:

r = 60 / (2π)

r = 30 / π

Now that we have the radius, we can use the formula for the volume of a sphere:

V = (4/3)πr³

V = (4/3)π(30/π)³

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)(27000/π²)

V = (4/3)(27000/9.87) (approximating π to 3.14)

V ≈ 3431.82 cubic miles

Therefore, the volume of the sphere is approximately 3431.82 cubic miles.

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Question

You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?

Answer:

The GCF is 8

Step-by-step explanation:

Answer:

I think its linear so I dont know 100% but I think it's a sorry if I'm wrong

Answer:

linear

Step-by-step explanation:

it is in y=mx+b form. also it forms a straght line

Answer:

range = 18 and SD = 6

Step-by-step explanation:

range = max - min

= 228 - 210

= 18

FOR STANDARD DEVIATION * USE A SCIENTIFIC CALCULATOR THEY WON'T PENALIZE YOU*

follow these steps:

1. press mode then STAT

2. then press 1-VAR

3. put all the numbers on the table in ascending order

4 after press AC

5. press shift then 1

6. you will see many things but we are only interested in standard deviation, press *Var*

7. then select the standard deviation sign and press the equal sign

Answer: 48 more monthly payments

Step-by-step explanation:

Answer: 1 1/2

Step-by-step explanation:

Hello, let's note

\(f(x)=x^4-3x^3+x^2+3x-2\\\\f(1)=1-3+1+3-2=0\)

So we can put (x-1) in factor. We are looking for a and b such that

\(f(x)=(x-1)(x^3+ax^2+bx+2)=x^4+(a-1)x^3+(b-a)x^2+(2-b)x-2\)

We identify the like terms, it comes

a-1=-3 <=> a = -2

b-a=1 <=> b = 1 + a = -1

2-b=3

So it comes.

\(f(x)=(x-1)(x^3-2x^2-x+2)\)

And we can go further using the same method to find that

\(x^3-2x^2-x+2=(x-1)(x^2-x-2)\)

The sum of the zeroes is 1=2-1 and the product is -2=(-1)*2, so, we can factorise.

\(\boxed{f(x)=(x-1)^2(x+1)(x-2)}\)

The sign of f(x) is the same as the sign of (x+1)(x-2) as a square is always positive.

To find the sign of a product, we can apply the following.

"- multiplied by - gives +"

"+ multiplied by + gives +"

"- multiplied by + gives -"

"+ multiplied by - gives -"

This is this what we are doing below.

\(\begin{array}{|c|ccccccc}x&-\infty&&-1&&2&&+\infty\\---&---&---&---&---&---&---&---\\x+1&-&-&0&+&3&+&+\\---&---&---&---&---&---&---&---\\x-2&-&-&-3&-&0&+&+\\---&---&---&---&---&---&---&---\\f(x)&+&+&0&-&0&+&+\\\end{array}\)

So, to answer the question

\(\Large \boxed{\sf \bf \ f(x) < 0 <=> -1 < x < 2 \ }\)

Thank you.

Answer:

Step-by-step explanation:

6

A variable is a characteristic or attribute that can take on different values. It is an observable and measurable property of an object or phenomenon, which can be used to describe and analyze it.

Parameters are used in inferential statistics to make conclusions about a population based on a sample of data.

(a) If you decide to select based on proportion of 10% from each group, the number of patients selected from each group would be: Group A = (10/100) x 100 = 10 patients Group B = (10/100) x 30 = 3 patients Group C = (10/100) x 30 = 3 patients.

(b) The classified groups can be named as follows: Group A = 10 years of education or less Group B = More than 10 years but less than or equal to 20 years of education Group C = More than 20 years of education.

(c) The sampling method employed in the selection process was stratified sampling. Stratified sampling is a type of probability sampling technique where the population is divided into homogeneous subgroups or strata, and the researcher selects a simple random sample from each subgroup or stratum.

The researcher chooses a proportion of participants from each subgroup to represent the population as a whole, which allows for more precise estimates of the population parameters than simple random sampling.

The sample is selected randomly from the stratified sample, which ensures that the sample is representative of the population.

A variable is a characteristic or attribute that can take on different values. It is an observable and measurable property of an object or phenomenon, which can be used to describe and analyze it.

Variables are used in research to test hypotheses, determine relationships between different phenomena, and make predictions about future outcomes.

A parameter is a numerical summary of a population, which describes a characteristic of the population. It is an unknown constant that can only be estimated from a sample of data.

Parameters are used in inferential statistics to make conclusions about a population based on a sample of data.

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The coordinates of C prime are (-4, -7).

The coordinates of the vertices of triangle ABC are

A(-1, 0)

B(-5, 2)

C(-1, 2)

To find the coordinates of C prime, we need to translate the triangle three units left and nine units down. This means we need to subtract 3 from the x-coordinates of each vertex and subtract 9 from the y-coordinates of each vertex.

So, the new coordinates for each vertex are:

A'(-1 - 3, 0 - 9) = (-4, -9)

B'(-5 - 3, 2 - 9) = (-8, -7)

C'(-1 - 3, 2 - 9) = (-4, -7)

Therefore, the coordinates of C prime are (-4, -7).

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Answer:0.533583

Step-by-step explanation:

The value of (1.487³ - 1) ÷ (1.487³ + 1) using log is 1.

The logarithm is the exponent or power to which a base must be raised to yield a given number.

If x is the logarithm of n to the base b then,

\(b^{x}\) = n

Where,

x = \(log_{b}\) n.

We have,

(1.487³ - 1) ÷ (1.487³ + 1)

We can solve this using log:

= log(1.487³ - 1)

= log 1.487³ - log1

= 3 log 1.487 - 0

[ log 1 = 0 and  \(logm^{n}\) = nlogm ]

= 3 x 0.1723

= 0.5169

Using log on (1.487³ + 1)

= log (1.487³ + 1)

= log 1.487³ + log 1

= 3 x log 1.487 + 0

= 3 x 0.1723 + 0

= 0.5169

Now,

(1.487³ - 1) ÷ (1.487³ + 1)

= 0.5169 ÷ 0.5169

= 1

Thus the value of (1.487³ - 1) ÷ (1.487³ + 1) using log is 1.

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Testing the hypothesis, we have that:

a)

The null hypothesis is: \(H_0: \mu = 128\)

The alternative hypothesis is: \(H_1: \mu \neq 128\)

b) The p-value of the test is of 0.1212.

c) Since the p-value of the test is of 0.1212 > 0.05, we cannot conclude that the mean daily number of texts for 25–34 year olds differs from the population daily mean number of texts for 18–24 year olds.

d) Since |z| = 1.55 < 1.96, we cannot conclude that the mean daily number of texts for 25–34 year olds differs from the population daily mean number of texts for 18–24 year olds.

Item a:

At the null hypothesis, we test if the mean is the same, that is, of 128 texts every day, hence:

\(H_0: \mu = 128\)

At the alternative hypothesis, we test if the mean is different, that is, different of 128 texts every day, hence:

\(H_1: \mu \neq 128\)

Item b:

We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:

\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)

The parameters are:

\(\overline{x}\) is the sample mean.

\(\mu\) is the value tested at the null hypothesis.

\(\sigma\) is the standard deviation of the population.

n is the sample size.

For this problem, the values of the parameters are: \(\overline{x} = 118.6, \mu = 128, \sigma = 33.17, n = 30\)

Hence, the value of the test statistic is:

\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{118.6 - 128}{\frac{33.17}{\sqrt{30}}}\)

\(z = -1.55\)

Since we have a two-tailed test, as we are testing if the mean is different of a value, the p-value is P(|z| < 1.55), which is 2 multiplied by the p-value of z = -1.55.

Looking at the z-table, z = -1.55 has a p-value of 0.0606

2(0.0606) = 0.1212

The p-value of the test is of 0.1212.

Item c:

Since the p-value of the test is of 0.1212 > 0.05, we cannot conclude that the mean daily number of texts for 25–34 year olds differs from the population daily mean number of texts for 18–24 year olds.

Item d:

Using a z-distribution calculator, the critical value for a two-tailed test with 95% confidence level is |z| = 1.96.

Since |z| = 1.55 < 1.96, we cannot conclude that the mean daily number of texts for 25–34 year olds differs from the population daily mean number of texts for 18–24 year olds.

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Answer:

=-3/8-7/16

Step-by-step explanation:

If b=-3/8

y=-4/7

Then b+1/4y= - 3/8 +1/4*(-4/7)= - 3/8 +1/(-16/7) =

=-3/8-7/16

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Answer:

36

Step-by-step explanation:

It's the biggest number.