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Eddi Din [679]
1 year ago
14

jay discounts a 100-day note for $25,000 at 13%. the effective rate of interest to the nearest hundredth percent is what %

Mathematics
1 answer:
allsm [11]1 year ago
4 0
Effective interest is computed using the formula below:
Effective interest = e^i-1
where
i = stated loan interest= 13%
substitute the given values and we will get
Effective interest = 13.88%
The effective interest of the 100-day note that Jay discounted is equal to 13.88%

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A ranger in a lookout tower spots two fires on the campground below. Fire A is 75 meters east
Wittaler [7]

Answer:

the fire hydrant is 9 meters west and 58 m south of the tower

Step-by-step explanation:

Fire A and Fire B can be represented as a point in the Cartesian coordinate with the tower as the origin. Fire A is 75 meters east  and 40 meters south of the tower, It can be represented as (75, -40).  Fire B is 37 meters west and 64 meters south of the tower,  It can be represented as (-37, -64).

If a point O(x, y) divides a line segment AB in the ratio n:m, with A(x_1,y_1) and B(x_2,y_2), the point O(x, y) is at:

x=\frac{n}{n+m}(x_2-x_1)+x_1\\ \\y=\frac{n}{n+m}(y_2-y_1)+y_1

The fire hydrant (x, y) divides Fire A(75, -40) and fire B(-37, -64) in the ratio 3:1(three fourth), hence:

x=\frac{n}{n+m}(x_2-x_1)+x_1=\frac{3}{4}(-37-75) +75=\frac{3}{4}(-112)+75=-84+75\\x=-9 \\ \\y=\frac{n}{n+m}(y_2-y_1)+y_1=\frac{3}{4}(-64-(-40))+(-40)= \frac{3}{4}(-18)-40=-18-40\\y=-58

The fire hydrant is at (-9, -58). That is the fire hydrant is 9 meters west and 58 m south of the tower

8 0
1 year ago
A nutritionist attempts to determine an association between where food is prepared and the number of calories the food contains.
Oksi-84 [34.3K]
Given the conditional relative frequency table below which was generated by column using frequency table data comparing the number of calories in a meal to whether the meal was prepared at home or at a restaurant.

Number of Calories and Location of Meal Preparation.
                                   Home                Restaurant            Total
≥ 500 calories              0.15                      0.55                  0.28

< 500 calories              0.85                      0.45                  0.72

Total                             1.0                        1.0                    1.0

To determine whether there is an association between where food is prepared and the number of carories the food contain, we recall that an "association" exists between two categorical variables if the column conditional relative frequencies are different for the columns of the table. The bigger the differences in the conditional relative frequencies, the stronger the association between the variables. If the conditional relative frequencies are nearly equal for all categories, there may be no association between the variables. Such variables are said to be <span>independent.

For the given conditional relative freduency, we can see that there is a significant difference between the columns of the table.
i.e. 0.15 is significantly different from 0.55 and 0.85 is significantly different from 0.45

Therefore, we can conclude from the given answer options that t</span><span>here is an association because the value 0.15 is not similar to the value 0.55</span>
8 0
2 years ago
Given that Ray E B bisects ∠CEA, which statements must be true? Select three options. m∠CEA = 90° m∠CEF = m∠CEA + m∠BEF m∠CEB =
FromTheMoon [43]

Answer:

Here is the question attached with.

m\angle CEA =90 \ (deg)

m\angle BEF=135\ (deg)

\angle CEF is a straight line.

\angle AEF is a right angled triangle.

Options 1,4,5,6 are correct answers.

Step-by-step explanation:

⇒As \ ray\ AE  is ⊥FEC so it will forms right angled triangle then m\angle CEA =90\ (deg).

⇒Measure of \angle BEF =135\ (deg) as \angle BEF =\angle AEB +\angle AEF = (45+90)=135\ (deg) as \angle AEB is the bisector of \angle AEC,meaning that  \angle AEB is half of \angle AEC so  \angle AEB = 45\ (deg).

⇒\angle CEF is a straight line as the angles measure over it is 180\ (deg).

⇒Measure of \angle AEF = 90\ (deg) from linear pair concept.

As \angle CEA + \angle AEF = 180\ (deg),plugging the values of  m\angle CEA =90\ (deg) we have \angle AEF = 90\ (deg) .

The other two options are false as:

  • m\angle CEF=m\angle CEA + m\angle BEF = (90+135)=225

       it is exceeding 180\ (deg) whereas \angle CEF is a              

      straight line.

  • And m\angle CEB=2(m\angle CEA) is not true.

     As \angle CEA = 90\ (deg) and \angle CEB=45\ (deg)

So we have total 4 answers.

The correct options are 1,4,5,6.

5 0
2 years ago
Read 2 more answers
The Colossus Ferris wheel debuted at the 1984 New Orleans World’s Fair. The ride is 180 ft tall, and passengers board the ride a
Makovka662 [10]

Answer:

T=\frac{2}{3}

Interpretation:

It means that Passenger will reach to same height after each 2/3 minutes

Step-by-step explanation:

We are given height function as

h=82.5sin(3\pi(t+0.5))+97.5

where

h is the height above the ground

t is the time

we can compare it with standard equation

y=Asin(B(t+C))+D

Period formula is

T=\frac{2\pi}{B}

now, we can compare and find B

B=3\pi

we can find period

T=\frac{2\pi}{3\pi}

T=\frac{2}{3}

Interpretation:

It means that Passenger will reach to same height after each 2/3 minutes

5 0
1 year ago
Which values represent the independent variable?
Sergeu [11.5K]

Answer:

C

Step-by-step explanation:

Traditionally, the y-value is the independent variable, while the x-value is the dependent variable.

5 0
1 year ago
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