The total amount earned from a savings account is modeled by the expression p(1.015)^12t
where P represents the principal compounded monthly and t is the time in years. Which expression represents the approximate interest rate compounded quarterly?

Answer:

I'm getting stuck by

[tex] = lim \: \: \: \: \: \: \frac{ {h}^{ \frac{1}{5} } }{h} \\ h > 0[/tex]

Sorry I can't help you out, if you find the answer through FP lmk

Answer:

Improper fraction

Step-by-step explanation:

2×3/5

=6/5 i.e Improper fraction

     For both of these, we will divide the wanted outcome by the number of possible outcomes. We will end up with a decimal. A decimal multiplied by 100 becomes a percent.

[a] 50%

[tex]\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{\text{student failed}}{\text{Period 2's class}} =\frac{12}{24} =0.5,\:0.5*100=50\%[/tex]

[b] 52%

[tex]\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{\text{student failed from Period 3}}{\text{fails from both classes}} =\frac{13}{25} =0.52,[/tex]

    [tex]\displaystyle 0.52*100=52\%[/tex]

Answer:

see explanation

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k )² = r²

where (h, k ) are the coordinates of the centre and r is the radius

given

x² + y² - 8x + 8y + 23 = 0

collect the x and y terms together and subtract 23 from both sides

x² - 8x + y² + 8y = - 23

using the method of completing the square

add ( half the coefficient of the x / y terms )² to both sides

x² + 2(- 4)x + 16 + y² + 2(4)y + 16 = - 23 + 16 + 16

(x - 4)² + (y + 4)² = 9 ← in standard form

with centre = (4, - 4 ) and r = [tex]\sqrt{9}[/tex] = 3

this is shown in graph b

Answer:

1/4

Step-by-step explanation:

1 hour 15 minutes = 75 minutes

25 mins + 75mins = 100 minutes

25/100 minutes x 100 = 25%

25% = 1/4 of the time was spent reading.

The range of the exponential function will be y ≥ 250,0003. Then the correct option is B.

The domain means all the possible values of x and the range means all the possible values of y.

The Population Of Center City Is Modeled By Exponential Function F, Where X Is The Number Of Years After The Year 2015.

The graph is given below.

We know that the exponential function is given as

y = abˣ

For x = 0, y will be 250,000

250,000 = a

For x = 40, y will be 400,000

400,000 = 250,000b⁴⁰

           b = 1.0118

Then we have

y = 250,000 (1.0118)ˣ

Then the range of the exponential function will be y ≥ 250,0003.

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The simplification form of the provided expression is 2y⁴/x⁴ option (A) 2y⁴/x⁴ is correct after applying the integer exponent properties.

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

The question is incomplete.

The complete question is attached in the picture, please refer picture.

We have an expression:

[tex]= \rm \dfrac{\left(14x^4y^6\right)}{\left(7x^8y^2\right)}[/tex]

[tex]\rm =\dfrac{7\cdot \:2x^4y^6}{7x^8y^2}[/tex]

[tex]\rm =\dfrac{2x^4y^6}{x^8y^2}[/tex]

[tex]\rm =\dfrac{2y^4}{x^4}[/tex]

Thus, the simplification form of the provided expression is 2y⁴/x⁴ option (A) 2y⁴/x⁴ is correct after applying the integer exponent properties.

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Answer:

A

Step-by-step explanation:

imagine explaining

An expression is defined as a set of numbers, variables, and mathematical operations. The term that best describes 3 is coefficient.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The value of 3 in the expression, 9 + 4(x + 2) - 3x, is that it is the coefficient of x in the third term.

Hence, the term that best describes 3 is coefficient.

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There appear to be 25% more sales of horror books than cookbooks, but there are really only about 2% more.

Percentage is a measure of frequency that expresses the ratio of two numbers as a value out of 100.

Percentage of horror books to comedy books = [(number of horror books sold / number of comedy book) - 1 ] x 100

[(55 / 54) - 1] x 100 = 2%

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Answer:

they are different in the equation

Answer:

D) 65°

Step-by-step explanation:

Use Snell's Law

[tex]n_1\sin\theta_1=n_2\sin\theta_2\\\\1.00\sin\theta_1=1.47\sin38^\circ\\\\\sin\theta_1=1.47\sin38^\circ\\\\\theta_1=\sin^{-1}(1.47\sin38^\circ)\\\\\theta_1\approx64.83^\circ[/tex]

Thus, the angle of incidence is D) 65°

Using a calculator, the critical value of the t-distribution that should be used for a 95% confidence interval with 20 observations is of t* = 2.0930.

A calculator is used, with two inputs:

In this problem, we have a 95% confidence interval, with 20 - 1 = 19 df, hence the critical value is of t* = 2.0930.

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[tex]\sf Sine \ Rue : \ \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]

Given following:

Solve for b (distance between school and mall):

[tex]\dashrightarrow \sf \dfrac{\sin 56}{38} = \dfrac{\sin 77}{b}[/tex]

[tex]\dashrightarrow \sf b= \dfrac{38\sin 77}{\sin 56}[/tex]

[tex]\dashrightarrow \sf b= 44.6615 \quad \approx \quad 45[/tex]

The area of the target that earns at least 30 points on a throw is 379.94 square inches

The target areas that earn at least 30 points on a throw are:

30-point, 40-point and 50-point

From the question, we have:

So, the total radius is:

r = 3 + 4 + 4

Evaluate the sum

r = 11

The area is then calculated as:

A = πr²

This gives

A = 3.14 * 11²

Evaluate

A = 379.94

Hence, the area of the target that earns at least 30 points on a throw is 379.94 square inches

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Answer:

49  square inches

Step-by-step explanation:

edmentum/ Plato hope this helps

By solving the two quadratic equations we found the values (0,-1).

It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given equations are;-

The two equations are solved by equating them and finding the value of x.

3x² + 6x + 4 = -3x² + 4

6x² + 6x = 0

6x ( x+1 ) = 0

6x  = 0 so x = 0

( x+1 ) = 0 so x = -1

Therefore solving the two quadratic equations we found the values (0,-1).

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The number of ways for the jobs to be ordered in the queue so that job A is the first to finish or the last to finish is; 2 * 9!

We are told that;

There is a set of 10 jobs in the printer queue.

One of the jobs is job A. Thus, there are 9 other identified jobs.

Number of ways to order this nine jobs = 9!

Since the job A has to be ordered first or last, then;

Number of ways to order job A = 2 ways.

Thus;

Total number of ways to order the jobs in the given order = 2 * 9!

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[tex]\begin{array}{llll} f(x)~from\\\\ x_1 ~~ to ~~ x_2 \end{array}~\hfill slope = m \implies \cfrac{ \stackrel{rise}{f(x_2) - f(x_1)}}{ \underset{run}{x_2 - x_1}}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array} \\\\[-0.35em] ~\dotfill\\\\ f(x)= x^2-2x-4 \qquad \begin{cases} x_1=-1\\ x_2=4 \end{cases}\implies \cfrac{f(4)-f(-1)}{4 - (-1)} \\\\\\ \cfrac{[(4)^2-2(4)-4]~~ - ~~[(-1)^2-2(-1)-4]}{4+1}\implies \cfrac{4~~ - ~~(-1)}{5} \\\\\\ \cfrac{4+1}{5}\implies \cfrac{5}{5}\implies 1[/tex]

Answer:

3\2 is the marked

y cos x,=2

3\2=0.5

x=0.5*2=3.0

=3.0*2=6.0

Answer:

[tex]x > - 1 \\ the \: answer \: is \: {d}[/tex]

[tex]\sqrt{-1} + 2 = i+2 = 2+i[/tex]

Answer:

AC = 13.3

Make proportional relationship:

[tex]\sf \dfrac{AB}{AC} = \dfrac{AM}{AN}[/tex]

Insert values

[tex]\rightarrow \sf \dfrac{10}{AC} = \dfrac{6}{8}[/tex]

Cross multiply

[tex]\rightarrow \sf AC = \dfrac{10(8)}{6}[/tex]

Simplify

[tex]\rightarrow \sf AC =13.3[/tex]

This  is an equilateral triangle, therefore, all the angles  are 60 degrees.

3 times  60 is  180.

180 is the answer

Answer:

A.) 20

Step-by-step explanation:

According to the bar graph, in February, the store sold 50 computers. In September, it seems like the store sold 30 computers. Therefore, if 50 - 30 = 20, the store sold 20 more computers in February than in September.

Answer:

A) 20

Step-by-step explanation:

Computers sold in Feb: 50

Computers sold in Sept: 30

50 - 30 = 20

Answer:

[tex]\left(12x^5-3x^1+2x-5\right)+\left(8x^1-3x^3+4x+1\right)[/tex]

=> Expand

[tex]12x^5-3x^1+2x-5+8x^1-3x^3+4x+1[/tex]

=> simplify and group like terms

[tex]12x^5-3x^3+5x^1+6x-4[/tex]

=> simplify further

[tex]12x^5-3x^3+11x-4[/tex]

Answer: See the attached images below.

The steps and explanations are on those screenshots, so there's not much for me to mention right here on this main page. The decimal results are approximate to 6 decimal places. Make sure your calculator is in degree mode.

[tex]\text{Given that,}~\\\\f(x) =a^x\\\\\text{L.H.S}\\\\=f(m+n+p)\\\\=a^{m+n+p}\\\\\text{R.H.S}\\\\=f(m) \cdot f(n) \cdot f(p)\\\\=a^m \cdot a^n \cdot a^p\\\\=a^{m+n+p}\\\\ \text{L.H.S} = \text{R.H.S}\\\\\text{Proved.}[/tex]