1) To get the present value, we need to get the amount after 5.5years
Amount = Principal + Interest
Interest = PRT/100
Interest = $19,513.75*3*5.5/100
Interest = 321,976.875/100
Interest = $3219.76875
Amount = $19,513.75+$3219.76875
Amount = 22,733.51875
Hence the present value is $22,733.51875
2) Simple Interest = PRT/100
Simple Interest = 5000*(4 3/4)* 18/12*100
Simple interest = 5 * 19 * 18/4*12
Simple interest = 1710/48
Simple interest =35.625
Amount = 5000 + 35.625
Amount = $5035.625
Hence the present value is $5035.625
Find the value of x and the measure of the angle labeled 3x
3x
27
A. x= 15; angle measure is 27°,
OB. X = 9; angle measure is 27".
C. x= 9; angle measure is 45°
O.D. x= 15; angle measure is 45°
Answer:
The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115
Step-by-step explanation:
PLZ HELP ME ASAP PLZ PLZ WILL GIVE BRAINLEST
Answer:
25.13
Step-by-step explanation:
To find the diameter C = 2 π x r
how to write an essay about citisenship
Essay Definition of Citizenship:
In the literal sense a person who lives in a city is said to be a citizen. But in political science we use this terminal different sense. To find the real meaning of the term we are to go back to ancient Greece. Aristotle, the father of political science, called a person a citizen who would take a direct and active part in the administration of the state.
Since the states in ancient Greece were as small as the cities of Greece it was possible for the residents of the city-state to make law, to adjudicate and even enforce the law. These citizens did not include the slaves, women and manual workers. In such a case the number of the citizens was just half of the entire population. The position was not very different in the medieval Europe. There were serfs in the place of the slaves.
The position is quite different in modern nation-states, where all adult people are citizens who need not take an active part in the administration of the country, because it is not possible for the entire population of a vast country to meet together and make law and interpret it or enforce it.
Leonard plans to build a garage on a square plot of land. If one side of the plot is 6g3h5 feet long, express the area of his plot as a monomial
Answer:
[tex]Area= 36g^6h^{10}[/tex]
Step-by-step explanation:
Given
[tex]Length = 6g^3h^5[/tex]
Required
Determine the area as a monomial
This is calculated as:
[tex]Area = Length * Length[/tex]
[tex]Area= 6g^3h^5*6g^3h^5[/tex]
This can be rewritten as:
[tex]Area= 6*6*g^3*g^3*h^5*h^5[/tex]
Apply law of indices
[tex]Area= 36*g^6*h^{10}[/tex]
[tex]Area= 36g^6h^{10}[/tex]
help plzzzzzzzzzzzzzz
Answer:
a) 20ft
Step-by-step explanation:
just multiply the model length and the scale factor
Simplify and leave in radical form.
Answer:
Step-by-step explanation:
Expressing in simplest radical form just means simplifying a radical so that there are no more square roots, cube roots, 4th roots, etc left to find. It also means removing any radicals in the denominator of a fraction.
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Don abel tiene una malla de 100m de longitud para hacer un cerco . Y quiere hacer in corralon de forma rectangular no sabe todavia de que fimensiones hacerlo pues quiere que sus cuyes tenhsn el mayor terrebno posible ¿ de que medidas se puede construir el corral rectangular usanfo los 100m de malla ?
Answer:
Don Abel debe construir un cuadrado con lados de 25 metros de longitud.
Step-by-step explanation:
Geométricamente hablando, el área y el perímetro del rectángulo rodeado por el cerco son representadas por las siguientes fórmulas:
[tex]A = w\cdot l[/tex] (1)
[tex]p = 2\cdot (w+l)[/tex] (2)
Donde:
[tex]A[/tex] - Área, en metros cuadrados.
[tex]p[/tex] - Perímetro, en metros.
[tex]w[/tex] - Ancho, en metros.
[tex]l[/tex] - Longitud, en metros.
Puesto que el área a cercar debe ser la máxima posible y la longitud disponible de malla es de 100 metros, cabe despejar el ancho en (2):
[tex]w = \frac{p}{2}-l[/tex]
Ahora, aplicamos esta expresión en (1) y expandimos la expresión resultante:
[tex]A = \left(\frac{p}{2}-l\right) \cdot l[/tex]
[tex]A = \frac{p\cdot l}{2} -l^{2}[/tex] (3)
A continuación, obtenemos la primera y segunda derivada de (3):
[tex]A' = \frac{p}{2}-2\cdot l[/tex] (4)
[tex]A'' = -2[/tex] (5)
Igualando (4) a cero, tenemos que el valor crítico de la longitud del rectángulo es:
[tex]\frac{p}{2}-2\cdot l = 0[/tex]
[tex]2\cdot l = \frac{p}{2}[/tex]
[tex]l = \frac{p}{4}[/tex]
Por (5), sabemos que ese valor crítico está asociado al área máxima.
Si sabemos que [tex]p = 100\,m[/tex], entonces la longitud del rectángulo es:
[tex]l = 25\,m[/tex]
Ahora, tenemos el ancho de la figura por (2):
[tex]w = \frac{p}{2}-l[/tex]
[tex]w = 25\,m[/tex]
En consecuencia, don Abel debe construir un cuadrado con lados de 25 metros de longitud.
I need this done today whoever gets this correct gets brainliest!!! PLZZ HELPP MEE!!!
hurryy
Answer:
1) true
2) false
3) true
4)false
Step-by-step explanation:
It's a number cube with 1-6
8. A store owner paid $15 for a book. She marked up the price of the book by 40% to determine its selling price. What is the selling price of the book?
Answer:
21
Step-by-step explanation:
PLEASE Can someone plz help me
9514 1404 393
Answer:
$11,988
Step-by-step explanation:
A graphing calculator gives you the answer easily.
The minimum unit cost is $11,988.
__
The equation for unit cost can be put into vertex form to find the minimum.
C(x) = 0.7x^2 -210x +27738
C(x) = 0.7(x^2 -300x +150^2) +27738 -0.7(150^2)
C(x) = 0.7(x -150)^2 -11,988
This is vertex form:
C(x) = a(x -h)^2 +k . . . . . . . where (h, k) is the vertex.
The vertex of this cost function is (150, 11,988).
The minimum unit cost occurs when 150 engines are produced. That unit cost is $11,988.
Answer:
the answer is $11,988
Step-by-step explanation:
:)
Factorise the exprssions
x^2-ax-bx+ab
[tex](x - a)(x - b)[/tex]
Step-By-Step Explanations:
1) Factor out the common term in the first two terms, then in the last two terms.
[tex]x(x - a) - b(x - a)[/tex]
2) Factor out the common term x - a.
[tex](x - a)(x - b)[/tex]
Therefor, the answer is ( x - a ) ( x - b ).
Maddie and Josh are trying to clean the roof of their house. They place the base of the ladder 3 feet away from the base of the house. Their ladder is 27 feet long. What angle does the ladder make with the ground?
Answer:
83.6 degrees
Step-by-step explanation:
Find the modes of this data set.
Answer:
1, 2
Step-by-step explanation:
the mode is the ones that appear the most in a data set, so since 1 and 2 appear 4 times each, they are the two modes.
find the length . IF necessary round to the tenth
Answer:
24
Step-by-step explanation:
Finding the lengths of a Triangle is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
Your triangle is [tex]7^{2}[/tex] + [tex]b^{2}[/tex] = [tex]25^{2}[/tex]
Which is 49 + b = 625
Subtract the difference 625 - 49. then you get the following
b = 576
Finally find the square root of this number and that's your answer: 24
Answer:
by using Pythagoras law
third side =√(25²-7²)=24
What is the total surface area and volume?? PLEASE HELP ME ASAP
Answer:
228
Step-by-step explanation:
ANOTHER QUESTOIn?
Dorian is making an ice cream sundae. He has three flavors of ice cream, two flavors of syrup, and three types of toppings. If he chooses one flavor, one syrup, and one topping, how many different combinations can he make?
I will give brainliest, I just need to see if my answer I wrote down was correct
Answer:
143m
Step-by-step explanation:
PLEASE SOMEONE!!HELP!! I need the answer right now
Answer:
m = -1, b = 5.
Step-by-step explanation:
We can find the slope, m, by plugging in our coordinates into the slope formula: [tex]\frac{y2-y1}{x2-x1} =\frac{2-7}{3-(-2)}=\frac{-5}{5}=-\frac{5}{5}=-\frac{1}{1}=-1[/tex]. That gives us the slope. Now we can fill that in the slope intercept formula: [tex]y=-1x+b[/tex]. We know one of the coordinates and the slope, which allows to find the y-intercept. We know that for every 1 unit down on the line, we move 1 unit right, and vice versa. Meaning we can just count down (or up in this case), so, (-2, 7), (-1, 6), (0, 5). Therefore, our y intercept is 5.
Lanna's dad was teaching her about the stock market. He has 100 shares of Company A stock
valued at $45 a share and 250 shares of Company B stock valued at $22 a share. How much is
his stock worth?
Answer: $10,000
Step-by-step explanation:
Lanna's dad stock worth will be the value of the total shares in both company A and company B.
Value of stock in company A = 100 × $45 = $4500
Value of stock in company B = 250 × $22 = $5500
Total stock worth = $4500 + $5500 = $10,000
Please someone answer this!
Andrew has $90 in a savings account. The interest rate is 10% per year and is not compounded. How much interest will he earn in 2 years?
Answer: 108$
Step-by-step explanation:
Heyy can someone please help me with this math ? I forgot how to figure it out... I'll give brainliest !!
Answer: 4 is the scaling increment
Step-by-step explanation:
12/3 = 4
8/2 = 4
Peter buys tickets for his family to see his favorite movie, Elephant Mistake. He pays $37.50 for 2 adult tickets and 2 student tickets. The next week he goes back with his friends and pays $35.25 for 1 adult ticket and 3 student tickets. Choose the system of equations that can be solved to find the price of an adult ticket, x, and the price of a student ticket, y.
Answer:
the price of adult ticket and student ticket be $10.50 and $8.25 respectively
Step-by-step explanation:
Let us assume the price of adult ticket be x
And, the price of student ticket be y
Now according to the question
2x + 2y = $37.50
x + 3y = $35.25
x = $35.25 - 3y
Put the value of x in the first equation
2($35.25 - 3y) + 2y = $37.50
$70.50 - 6y + 2y = $37.50
-4y = $37.50 - $70.50
-4y = -$33
y = $8.25
Now x = $35.25 - 3($8.25)
= $10.5
Hence, the price of adult ticket and student ticket be $10.50 and $8.25 respectively
write the equation (3,5) in standard form
Answer:
We can write out 3! (three factorial) as 3x2x1, and we can write out 5! as 5x4x3x2x1. This means that, since 3x2x1 is on the top and the bottom of the fraction, it cancels out. This leaves us with 1 on top, and 4x5=20 on the bottom.
Step-by-step explanation:
can you please help me with my question
About how many more website hits were there on Saturday than on Friday?
Answer:
1,000 hits
Step-by-step explanation:
Saturday: 2,000 hits
Friday: 1,000 hits
2,000 - 1,000 = 1,000
Answer: 1,000 hits
Step-by-step explanation:
I just took the test, it's right.
PLEAS HELP ASAP 30 POINTS!!!
An incomplete proof of cosθsinθ/1+sinθ=tanθ(1-sinθ) is shown.
Which of the following expressions could be used to complete the third step pf the proof?
Answer:
C
Step-by-step explanation:
Take a look at the RHS of the 2nd step, the denominator -- 1-sin²∅ = cos²∅
We come up to the conclusion of C
Which if the following is a geometric sequence?
Question 5 options:
A. 6,8,10,12
B. 3,6,12,24
C. 12,6,2,1
D. 5,-15,45,135
I think the answer is B.....
There are 68 marbles in a bin and 50% of the marbles are red.
How many red marbles are the bin?
There are
red marbles in the bin. .
Answer:
34 because 50 percent of 68 is 34
Answer:
There are 34 red marbles in the bin
Step-by-step explanation:
50% is basically 1/2. So half of 68 is 34.
w² + 2w – 24/ + 8/
w² + w – 30 w-5
What is the area of the given circle use 3.14 for pie diameter =18cm
Answer:
254.47
Step-by-step explanation:
1/4[tex]\pi[/tex]d^2
what is 2(3x+2)=2x+28
Answer:
x=6
Step-by-step explanation:
6x+4=2x+28
4x=24
x=6
