Wyatt is paying back a loan with a nominal interest rate of 13.62%. If the interest is compounded quarterly, how much greater is Wyatt’s effective interest rate than his nominal interest rate? a. 0.96 percentage points b. 0.40 percentage points c. 0.25 percentage points d. 0.71 percentage points

Answer:

The answer is D.

Step-by-step explanation:

f(x) = 5x -3

y = 5x - 3

Switch y and x to find the inverse

x = 5y - 3

Solve for y.

x + 3 = 5y

y = (x+3)/5

g(x) = (x+3)/5

Answer:

i think the answer is X, because the elements of both X and Y are in X

Answer:

28 times

Step-by-step explanation:

On a fair die, the probability of rolling a 6, the only number greater than 5, is 1/6. So in 168 rolls of this die, Malachy can expect a 6 on 1/6 × 168, or 28 times.

Answer:

the system is inconsistent

also ,Check the attached graph

Step-by-step explanation:

let D₁ be the line of equation 3x - 9y = 36

    D₂ be the line of equation 2x - 6y = -8

In order to graph D₁ we need to find two point shot that lie on it.

→ If x = 0 , 3(0) - 9y = 36 ⇔ -9y = 36 ⇔ y = -4

Then the point C(0 , -4) lies on D₁

→ If x = 3 , 3(3) - 9y = 36 ⇔ -9y = 27 ⇔ y = -3

Then the point D(3 , -3) lies on D₁

Therefore,

D₁ is the line that connects the points C and D

Similarly,We can prove that the point she A(-4 , 0) and B(-1 , 1) lie on D₂

Then D₂ = (AB)

After graphing, we notice that D₁ and D₂ are parallel and they don’t have any point in common.

Therefore ,we say that’s the system is inconsistent

Answer:

the answer is 126 cm

sana makatulong

Step-by-step explanation:

[tex] = 7 \frac{1}{2} .1 \frac{3}{5} [/tex]

[tex] = \frac{ \red{\cancel{15}}}{ \blue{ \cancel{2}}} . \frac{ \blue{\cancel{8}}}{ \red{\cancel{5}}} [/tex]

[tex] = \frac{3}{1} . \frac{4}{1} [/tex]

[tex] = 12[/tex]

[tex] \: [/tex]

Answer:

Since the 'base' and 'top' of any prism have the same shape, the surface area can be found by

surface area of prism = 2 * area of base + perimeter of base * H

So for the rectangular prism in your example..

surface area = 2LW + 2(L+W)H

= 2 * 7 * 4 + 2*(7+4)*5

= 56 + 2 * 11 * 5

= 56 +110

= 166 sq cm

Hope this helps

Answer:

circumference formula = πd or 2πr .. they are the same thing

G is the answer

The first two terms of the sequence are 3 and 12 and the 3rd and 4th terms are 25 and 42.

The 3rd and 4th terms of the sequence is determined from second level difference as shown below;

(c - b) - (b - a) = 4  ----(1)

(d - c) - (c - b) = 4 ---- (2)

from (1);

(c - 12) - (12 - 3) = 4

(c - 12) - (9) = 4

c - 21 = 4

c = 25

from (2);

(d - 25) - (25 - 12) = 4

d - 38 = 4

d = 42

The sequence = 3, 12, 25, 42

check

first difference = (12 - 3), (25-12), (42-25) = 9, 13, 17

second difference = (13 - 9), (17 - 13) = 4, 4

Thus, the first two terms of the sequence are 3 and 12 and the 3rd and 4th terms are 25 and 42.

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To solve this problem, we have to figure out the time spent travelling and then use the speed-distance-time equation to find the distance between the two places. The distance between Seattle and St. Louis is 2295 miles.

To calculate the miles or distance between Seattle and St. Louis, we have to take into consideration that out of the 42 hours she spent in her journey, she stayed 15 hours over at St. Louis.

[tex]42 - 15 = 27[/tex]

She spent 27 hours travelling.

Her speed in the first journey was 50mi/h and her speed in the second journey was 35mi/h.

This implies she was faster in her first journey compared to her second journey.

Data;

[tex]speed = \frac{distance}{time} \\distance = speed * time[/tex]

Let's substitute the values

[tex]distance = (50 + 35) * 27 = 2295mi[/tex]

The distance between Seattle and St. Louis is 2295 miles

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Answer:

20 ft

Step-by-step explanation:

There are 4 equal sides to a square so one side is 80/4 = 20 ft

Answer:

Falling action

Step-by-step explanation:

Falling action in a basic plot structure is the events that happen after the climax and before the resolution. This part of your story is often used to show the consequences of the climax and how it affects the characters.

Area of centre rectangle

Area of right rectangle

Area of triangle

Total

Considering the given confidence interval, the correct option regarding the conclusion of the hypotheses test is given by:

yes, because 0 is not in the confidence interval.

At the null hypotheses, it is tested if the difference is equals to zero, that is:

[tex]H_0: \mu = 0[/tex].

At the alternative hypotheses, it is tested if it is different, hence:

[tex]H_1: \mu \neq 0[/tex].

The confidence interval is (0.57, 1.25). Since it does not contain 0, there is enough evidence that the difference is different of 0, hence the correct option is given by:

yes, because 0 is not in the confidence interval

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Given :-

To find :-

Solution:-

Hey mate , to find the total cost of pane we have to find the area of pane and multiply it by 25 cents

Area of pane :- 30×56cm²

Area of pane :- 1680cm²

Cost of pane :- 1860×25 cents

Cost of pane :- 42000 cents or 420$

Answer:

73.77 ft²

Step-by-step explanation:

Area of circle - area of square

= πr² - (length × width)

= (3.14 × 8.1²) - (11.5 × 11.5)

= 73.7654

≈ 73.77 ft²

hope this helps =)

Answers:

The "square feet" portions are already handled by your teacher, so you'll just type in the numbers only.

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

Explanation:

The formula for the area of a circle is

A = pi*r^2

We replace pi with its approximation 3.14, and plug in the radius r = 8.1 to get the following approximate area:

A = 3.14*(8.1)^2

A = 206.0154

A = 206.02 which is the answer to the first box

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

The unshaded region is a square of side length 11.5 ft

Its area must be (11.5)^2 = 132.25 square feet

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

Subtract the results of the previous boxes to get the shaded area.

206.02 - 132.25 = 73.77

4x+3y=2

4x=2-3y

x= 2/4 - 3/4 y

x= 1/2- 3/4y

(x= 0.5 - 0.75y)

[tex]\boxed{ \ \sf x=\dfrac{2-3y}{4} \ }[/tex]

[Given]

[tex]\sf \rightarrow 4x + 3y =2[/tex]

[Exchange Sides]

[tex]\sf \rightarrow 4x =2-3y[/tex]

[Divide both sides by 4]

[tex]\sf \rightarrow \dfrac{4x}{4} =\dfrac{2-3y}{4}[/tex]

[Simplify]

[tex]\sf \rightarrow x=\dfrac{2-3y}{4}[/tex]

Based on the number of ways to answer the multiple choice questions and the number of ways to answer true or false, the number of ways to answer the test is 8,192 ways.

This can be found as:

= Total number of ways to answer multiple choice questions + Total ways to answer true or false questions

Solving gives:
= (4 x 4 x 4) x (2 x2 x2 x 2 x 2 x 2 x 2)

= 64 x 128

= 8,192 ways

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Answer:

Ok I can walk you through if you comment the questions ok?

Step-by-step explanation:

Trust me :-)

Answer:

1. obtuse

2.straight

3.right

4. acute

5. <EAF

6. <DAF

7. <BAF

8. They are perpendicular to each other

Answer:

B. 60

Step-by-step explanation:

1. take the square root of 64

2. multiply 8*10 and 5*4

3. subtract

Square root of 64 is 8 so,

10*8 - 5*4

80 - 20 =

60

Answer: C

Step-by-step explanation: bcuz

Answer:

[tex]\textsf{A)} \quad f\left(-\dfrac{1}{2}x\right)[/tex]

Step-by-step explanation:

From observation of the given graph, function f has been reflected across the y-axis.  

When a graph is reflected across the y-axis, the y-coordinate stays the same while the x-coordinate is negated.

Therefore, replace y = f(x) with y = f(-x), so:

[tex]\implies g(x) = f(-x)[/tex]

It appears that the graph has also been stretched parallel to the x-axis.

When a graph is stretched parallel to the x-axis the x is multiplied by a constant.  If the constant is greater than 1, the graph is compressed.  If the constant is greater than zero and less than 1, the graph is stretched.

As the graph has been stretched, the constant is 0 < c < 1, so:

[tex]\implies g(x)=f\left(-\dfrac{1}{2}x\right)[/tex]

Answer:

2/3

Step-by-step explanation:

total marbles is (8 black+ 16 white + 14 red +10 green) = 48

no white cmarbles ( 8+14+10) = 32

32/ 48 =  2/3

Answer:

The area is 9 units^2

Step-by-step explanation:

From the graph, the coordinate of M and L will be (-1, 3) and (3, 3). Then the equation of the line ML will be y - 3 = 0.

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

The figure below shows parallelograms ABCE, PQRS, and TNLM on a coordinate plane.

The coordinates and relations between the points are:

A(-3,-3), B(5,-3), C(5,5), and E(-3,5)

Then the equation of the line ML will be

From the graph, the coordinate of M will be (-1, 3) and the coordinate of L will be (3, 3).

Then the equation will be

[tex]\rm y- 3 = \dfrac{3-3}{3+1} (x - 3)\\\\y - 3 = 0[/tex]

Then the equation of the line ML will be y - 3 = 0.

More about the coordinate geometry link is given below.

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Answer:

  x = 70°

Step-by-step explanation:

The relevant relations are ...

__

Triangle OBQ is isosceles, so angle OQB = 40°. Triangle OPQ is isosceles, so angle OQP is x. The sum of angles OQB and OQP is angle BQP, which is supplementary to angle OPQ. That is, ...

  (40° +x) +x = 180°

  2x = 140° . . . . . . subtract 40°

  x = 70° . . . . . . divide by 2

_____

There are many ways to find x. The one shown here is just one of them. In general, right triangles, isosceles triangles, symmetry, inscribed angles can all be used to write relations involving the known angles and x.

Answer:

[tex]\frac{7}{10}[/tex]

Step-by-step explanation:

P(R or B)=[tex]\frac{5}{20}+\frac{9}{20}[/tex]

             =[tex]\frac{7}{10}[/tex]