4.
What would be the purchase price for a $5,000, 91-day T-bill paying 3%
interest?
a. $4,925.00
b. $4,962.50
C. $5,000.00
d. $5,037.50​

Answer:

Step-by-step explanation:

Answer:

43.75 ft²

Step-by-step explanation:

[tex]s_l[/tex] = (l√(w/2)² + h²) + (w√(l/2)² + h²)

l & w become 3.5, and h becomes 6.

[tex]s_l[/tex] = (3.5√(3.5/2)² + 6²) + (3.5√(3.5/2)² + 6²)

Step 1:Because this is a square pyramid, what you see above essentially becomes what you see below.

[tex]s_l[/tex] = 2(3.5√(3.5/2)² + 6²)

Step 2: Divide 3.5 by 2 to get 1.75.

[tex]s_l[/tex] = 2(3.5√1.75² + 6²)

Step 3: Square both 1.75 and 6 to get 3.0625 and 36 respectively.

[tex]s_l[/tex] = 2(3.5√3.0625 + 36)

Step 4: Add 3.0625 and 36 to get 39.0625.

[tex]s_l[/tex] = 2(3.5√39.0625)

Step 5: The square root of 39.0625 is 6.25.

[tex]s_l[/tex] = 2(3.5 * 6.25)

Step 6: Multiply 3.5 by 6.25 to get 21.875.

[tex]s_l[/tex] = 2(21.875)

Step 7: Multiply 2 by 21.875 to get 43.75.

[tex]s_l[/tex] = 43.75 ft²

The lateral area of this pyramid is 43.75 ft².

Answer:

Step-by-step explanation:

A Venn diagram depicts the logical relationships between two or more sets of elements by using alternating circles or other shapes. They're often used to visually arrange information, showing how objects are similar and different. In the fields of mathematics and statistics, Venn diagrams, also known as "set diagrams" or "logic diagrams," are commonly used.

From the given information:

Since we are to represent the given question into a Venn diagram, the diagram is being attached in the image below.

From the image below, we represent:

P =students that played Paino

G = students that played guitar

F = students that played flute

P = 50

G = 68

F = 59

(PUG) -35

(PUF) = 59

(GUF) = 40

since the value of (PUGUF) is not given, we represent it with x.

See the attached image below for diagrammatic representation of the Venn diagram.

answer = 560 profited

Answer: 187.5 gallons of gas

Step-by-step explanation:

He travels 30000 miles per year, and each gallon lets him travel 16 miles. Divide 30000 by 16 to get the amount of gas he uses in a year, which amounts to 187.5 gallons of gas.

Answer:

a. 53.4

b. 24.4

Step-by-step explanation:

a+j=77.8

j=a-29

a+j=77.8

-a+j=-29

2j=48.8

j=24.4

a+24.4=78.8

a=53.4

Answer:

Step-by-step explanation:

Just add the fractions after finding the common denominator  3 times 8 = 24

Please check my math and typing for accuracy.

Week 1: 2 2/3       =  8/3  x  8/8            =   64/24

Week 2: 1/8          =  1/8   x  3/3            =   3/24

Week 3: 1 3/4       =  7/4  x  6/6            =   42/24

Week 4: 1/2          =   1/2  x  12/12         =   12/24

                                                              =   (64+3+42+12)/24

                                                              =    121/24        24 times 5 = 120

                                                              =    5 1/24

I can't read the question.

Answer: a positive correlation, increase, 0.5

Answer:

Mean = 6.25

Step-by-step explanation:

Data values: 4, 5, 6, 10

Mean = (Sum of all values)/(Number of values)

Mean = (4 + 5 + 6 + 10)/4

Mean = 25/4

Mean = 6.25

The mean for the data shown in the dot plot is 6.25.

The given data is 4, 5, 6 and 10.

We need to find the mean for the data shown in the dot plot.

A dot plot is used to encode data in a dot or small circle. The dot plot is shown on a number line that displays the distribution of numerical variables where a value is defined by each dot.

Now, mean = Sum of all the observations / Total number of observations

=(4+5+6+10)/4

=25/4

=6.25

Therefore, the mean for the data shown in the dot plot is 6.25.

To learn more about the dot plot visit:

https://brainly.com/question/22746300.

#SPJ2

Answer:

326m²

Step-by-step explanation:

Find the area of each side and find the total sum from each individual area:

2(15*4)+2(7*4)+2(7*15)=2(60)+2(28)+2(105)=2(163)=326

So the surface area of the prism is 326m²

Answer:

210

Step-by-step explanation:

Step 1: 6 rows and 6 columns each side so 6*6=36

Step 2: we have 6 sides so 36*6=216 cubes

Step 3: substract 6 cubes from the total since each row and column shares the same cube 216-6=210 cubes

The total number of unit cubes is A = 210 cubes and volume is V = 216 units³

The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle

Volume of Rectangle = Length x Width x Height

Volume of Rectangle = Area of Rectangle x Height

Given data ,

Let the height of the rectangle be = 6 units

Let the length of the rectangle be = 5 units

And , let the width be = 7 units

So , Volume of Rectangle = Length x Width x Height

V = 6 x 5 x 7

V = 210 units³

Hence , the number of unit cubes is A = 210

To learn more about volume of rectangle click :

https://brainly.com/question/25422723

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Answer: x = 110 degrees

Step-by-step explanation:

35 and its vertical angle inside the triangle both = 35 deg

43 and 32 add to 75 deg

The total degree measure inside a triangle is 180

180-75-35 = 70 deg

70 degrees is the supplementary angle of x

180-70 = x

x = 110 degrees

Answer:

hsjsbdjkdowjd nskdkndbdndkckdbnd

Answer:

The measure of ∠X is 45°.

Step-by-step explanation:

Complementary angles are two angles that have a sum of 90°.

I subtracted 45 from 90 (90-45) and got 45°.

Answer:

900

Step-by-step explanation:

135/7.5= x/50

cross multiply

7.5x=6750

x=900

Answer:

488281250 is the Twelfth

Step-by-step explanation:

The geometric sequence is multiplying by 5

2, 10, 50,

2 times 5 is 10 (First)

10 times 5 is 50 (Second)

50 times 5 is 250 (Third)

250 times 5 is 1250 (Fourth)

1250 times 5 is 6250 (Fifth)

6250 times 5 is 31250 (Sixth)

31250 times 5 is 156250 (Seventh)

156250 times 5 is 781250 (Eighth)

781250 times 5 is 3906250 (Ninth)

3906250 times 5 is 19531250 (Tenth)

19531250 times 5 is 97656250 (Eleventh)

97656250 times 5 is 488281250 (Twelfth)

Answer:

−97656250

Step-by-step explanation:

Thank me later

Answer:

81

Step-by-step explanation:

dude, it's one of the fast facts

Answer:

81

Step-by-step explanation:

We can round one of the 9's to ten then multiply it

9*10=90

then subtract the 9 that we added

90-9=81

Answer:

I am not sure but I think it is c

Step-by-step explanation:

Answer:

The speed of the airplane is 300 miles per hour.

Step-by-step explanation:

Let consider that plane travels at constant speed, which is the sum of the velocity of the plane in still air (velocity of the plane relative to wind) and the velocity of the wind. Hence, the total time spent by the plane is described by following kinematic formula:

[tex]t = s\cdot \left(\frac{1}{v_{P}-v_{W}}+\frac{1}{v_{P}+v_{W}} \right)[/tex] (1)

Where:

[tex]t[/tex] - Total time, in hours.

[tex]s[/tex] - Distance between Los Angeles and San Jose, in miles.

[tex]v_{P}[/tex] - Velocity of the plane in still air, in miles per hour.

[tex]v_{W}[/tex] - Velocity of the wind, in miles per hour.

Then, we proceed to simplify the formula and clear the speed of the plane in still air:

[tex]\frac{t}{s} = \frac{2\cdot v_{P}}{v_{P}^{2}-v_{W}^{2}}[/tex]

[tex]\left(\frac{t}{s}\right)\cdot (v_{P}^{2}-v_{W}^{2}) = 2\cdot v_{P}[/tex]

[tex]\left(\frac{t}{s} \right)\cdot v_{P}^{2} - 2\cdot v_{P}- \left(\frac{t}{s} \right)\cdot v_{W}^{2} = 0[/tex]

Which is a Second Order Polynomial, whose roots can be found analytically by Quadratic Formula. If we know that [tex]t = 2\,h[/tex], [tex]s = 288\,mi[/tex] and [tex]v_{W} = 60\,\frac{mi}{h}[/tex], then we have the following polynomial:

[tex]\frac{1}{144}\cdot v_{P}^{2}-2\cdot v_{P} -25 = 0[/tex]

The two roots associated with this polynomial are, respectively:

[tex]v_{P,1} = 300\,\frac{mi}{h}[/tex], [tex]v_{P,2} = -12\,\frac{mi}{h}[/tex]

Since speed is the magnitude of velocity, then solution must be positive. First root satisfies all these conditions.

In a nutshell, the speed of the airplane is 300 miles per hour.

Step-by-step explanation:

Area of circle:

A=π*(r^2)=π*(16^2)=256π ft^2

Area of the figure:

A=(3*256π)/4=192π=603.185=603.18 ft^2

Answer: this game is honestly good for the kids u teaching them how to count by roulling the dice

Step-by-step explanation:

Answer:

15/8

Step-by-step explanation:

opp/adj=30/16=15/8

Answer:

[tex]38 |5| [/tex]

b is the answer

Answer:

42 square feet.

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Divide 65 by 40 and then multiply it by 10. That gets you 16.25 so you have to round it because you can't have 1/4 of a person. So you'll get 16.

Answer:

the equation for that line would be y=0

Step-by-step explanation:

The slope is 0 so if one were to plug in 0 as a slope to y=mx+b you would get y=0x which can be simplified to y=0. Hope this helped. :)

x^(2)y (6y^(2)-3y+5)

Find the prime factors of each term in order to find the greatest common factor (GCF).

Brainliest or a thank you please! sorry im wrong :(

Answer:

charlie has 624.32 more than andy

Step-by-step explanation:

im smart trust