The second option has a lower amount of interest paid.
In order to determine the loan option that minimizes loan payment, the future value of both loan options has to be determined.
FV = P (1 + r)^nm
FV = Future value
P = Present value
R = interest rate
m = number of compounding
N = number of years
First loan option
65000( 1 + 0.063/12)^300 = 312,707.21
Second loan option
65000( 1 + 0.048/12)^240 = 169,435.51
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A parking lot has 117 spaces total. If 36 of the spaces have cars in them, what is the ratio of empty spaces to filled spaces?
Answer:
81:36
Step-by-step explanation:
117-36
= 81
Boom answer that's it
The ratio of empty spaces to filled spaces is 9 : 4.
What is proportion ?
A proportion is an equation based on the equality of two ratios.
Here it is given that :
A parking lot has total = 117 spaces
Spaces filled with cars = 36
spaces left = total spaces - space filled with cars
spaces left = 117 - 36
spaces left = 81
Now, the ratio of empty spaces to filled spaces will be :
81 : 36
cancelling common factor that is 9 :
9 : 4
Therefore, the ratio of empty spaces to filled spaces is 9 : 4.
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1. Un restaurant ofrece 14 entradas, 8 platos principales y 7 postres. ¿De cuántas formas un cliente puede ordenar una comida?
2. ¿Cuántos grupos de 4 letras se pueden formar con las letras de la palabra TECNICA?
3. ¿Cuántos números de 4 dígitos se pueden formar con los primeros 7 números naturales?
4. ¿Cuántos partidos distintos se pueden realizar dados 5 equipos de futbol?
5. ¿De cuántas formas pueden colocarse los 11 jugadores de un equipo de fútbol teniendo en cuenta que el portero no puede ocupar otra posición distinta de la portería mientras que los otros 10 pueden jugar en cualquier otra posición que no sea portero?
6. En el palo de señales de un barco se puede izar tres banderas rojas, dos azules y cuatro verdes. ¿Cuántas señales distintas pueden indicarse con la colocación de las nueve banderas?
Usando técnicas de conteo, se encuentra que
1. Un cliente puede ordenar una comida de 784 formas.
2. 420 grupos de 4 letras se pueden formar con las letras de la palabra TECNICA.
3. 840 números de 4 dígitos se pueden formar con los primeros 7 números naturales.
4. 10 partidos distintos se pueden realizar.
5. Pueden colocarse de 3,628,800 formas.
6. 1260 señales distintas pueden indicarse.
Item 1:
La técnica usada es el principio fundamental de conteo, que afirma que si hay n cosas, cada una con [tex]n_1, n_2, \cdots, n_n[/tex] maneras de seren realizadas, el número total de maneras de ser realizadas es:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
En este problema, [tex]n_1 = 14, n_2 = 8, n_3 = 7[/tex], por eso:
[tex]T = 14 \times 8 \times 7 = 784[/tex]
Un cliente puede ordenar una comida de 784 formas.
Item 2:
El orden es importante, ya que TECN es una palabra diferente de NCET, por lo tanto, la fórmula de permutaciones se usa para resolver este problema.
Fórmula de permutaciociones:
El número de permutaciones de x elementos en un conjunto de n elementos es dada por:
[tex]P_{n,x} = \frac{n!}{(n - x)!}[/tex]
En este problema, 4 letras de 7, enconteces:
[tex]P_{7,4} = \frac{7!}{3!} = 840[/tex]
La letra C se repite dos veces, o sea:
[tex]T = \frac{P_{7,4}}{2} = \frac{840}{2} = 420[/tex]
420 grupos de 4 letras se pueden formar con las letras de la palabra TECNICA.
Item 3:
Permutaciones de 4 dígitos de 7, sin repeticiones, o sea:
[tex]P_{7,4} = \frac{7!}{3!} = 840[/tex]
840 números de 4 dígitos se pueden formar con los primeros 7 números naturales.
Item 4:
El orden no es importante, ya que Time 1 x Time 2 es la misma partida de Time 2 x Time 1, por lo tanto, la fórmula de combinaciones se usa para resolver este problema.
Fórmula de combinaciones:
El número de combinaciones de x elementos en un conjunto de n elementos es dada por:
[tex]C_{n,x} = \frac{n!}{x!(n - x)!}[/tex]
En este problema, combinaciones de 2 elementos de un conjunto de 5, entonces:
[tex]C_{5,2} = \frac{5!}{2!3!} = 10[/tex]
10 partidos distintos se pueden realizar.
Item 5:
El número de arreglos de n elementos viene dado por
[tex]A_n = n![/tex]
En este problema, arreglo de 10 elementos, o sea:
[tex]A_{10} = 10! = 3628800[/tex]
Pueden colocarse de 3,628,800 formas.
Item 6:
El número de arreglos de n elementos, con repeticiones de [tex]n_1, n_2, \cdots n_n[/tex] elementos viene dado por
[tex]A_n^{n_1,n_2,\cdots,n_n} = \frac{n!}{n_1!n_2! \cdots n_n!}[/tex]
En este problema, [tex]n = 9, n_1 = 3, n_2 = 2, n_3 = 4[/tex], por eso:
[tex]A_9^{3,2,4} = \frac{9!}{3!2!4!} = 1260[/tex]
1260 señales distintas pueden indicarse.
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f(x)=2x^2 + x - 6/ x-1
Answer:
See below
Step-by-step explanation:
Zeroes:
[tex]f(x)=\frac{2x^2+x-6}{x-1}[/tex]
[tex]0=\frac{2x^2+x-6}{x-1}[/tex]
[tex]0=2x^2+x-6[/tex]
[tex]0=(2x-3)(x+2)[/tex]
[tex]x=\frac{3}{2},-2[/tex]
Vertical and Horizontal Asymptotes:
[tex]x\neq 1[/tex] is excluded from the domain, therefore, there's a vertical asymptote at [tex]x=1[/tex]
No horizontal asymptotes as the degree of the numerator is greater than the degree of the denominator by 1.
Oblique (Slant) Asymptote:
[tex]f(x)=\frac{2x^2+x-6}{x-1}=2x+3,R(-3)[/tex], so the oblique/slant asymptote is [tex]y=2x+3[/tex]
11.1 ÷ 3 please tell me
Answer:
3.7
Just divide 11.1 by 3 in the calculator
Answer:
3.7
Step-by-step explanation:
make me a brainliest
Jasmine wants to make more cleaning solution
Answer:
here
Step-by-step explanation:
Method 1 Method 1 of 3: Making Liquid Cleaners
Mix equal parts water and vinegar in a spray bottle. Use distilled white vinegar and, if possible, distilled or filtered water.
Add lemon juice to disinfect surfaces. Mix one part lemon juice, one part white vinegar and two parts water in a spray bottle.
Add dish soap for persistent stains on carpet. ...
Tackle tough stains and grime with undiluted vinegar. ...
Determine the value of x. Round to the tenths place. 30/4 65/x
wow that's really hard... :) greetings from South Korea My name is Naoyoung nei The abbreviation of Nanda is Naoyoung nei And the name DA is the name of my father and mother
If 2 pizzas cost $16, how much do 4 pizzas cost?
Answer:
$32
Step-by-step explanation:
$16/2 pizzas = $8 per pizza
($8)(4)=$32
Answer:
$32
Step-by-step explanation:
16/2 is 8. So each pizza costs exactly 8 dollars. You have to do 4x8 which is 32
HELPPPPPPPPPP PLEASE
Answer:
The answer is in the above attachment.
Answer:
1. 6 x^8 y^5
2. 4 x^5 z^8
3. 12 a^9 b7
4. 6 s^9 t^3
Step-by-step explanation:
1. (3 x^2 y^4) × (2 x^6 y)
= [ (3×2) (x^2 × x^6) (y^4 × y) ]
= 6 x^8 y^5
2. [ (x z^3) × (4 x^4 z^5) ]
= (4 × 1) (x × x^4) (z^3 × z^5)
3. .........
4. ...........
Don't mind me, cause I'm busy
EASY POINTS
f(t)=−3t+4f, left parenthesis, t, right parenthesis, equals, minus, 3, t, plus, 4
f
(
f(f, left parenthesis
)
=
19
)=19right parenthesis, equals, 19
f() = -5 when f(t) = -3t + 4 is equal to 19. The value of t is -5
The given function is f(t) = -3t + 4. To find the value of f() when it is equal to 19, we substitute 19 in place of f() in the equation.
f() = -3() + 4
Since the value of f() is not provided, we can solve for it by setting the equation equal to 19:
-3() + 4 = 19
To solve for f(), we isolate the variable on one side of the equation. First, we subtract 4 from both sides:
-3() = 19 - 4
-3() = 15
Then, we divide both sides of the equation by -3 to solve for :
/ -3 = 15 / -3
= -5
It's important to note that the notation f() represents the value of the function at a specific point, usually denoted by a specific value in the parentheses. In this case, we were given f() = 19, and our task was to find the corresponding value of . By solving the equation, we determined that = -5 in this scenario.
Therefore, f() = -5 when f(t) = -3t + 4 is equal to 19.
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number 4. and 5.
What is the unit rate for each size?
Which size is a better buy? why?
Answer:
Step-by-step explanation:
4)
Regular $4 / 8 cups = $0.50 / cup
Large $6 / 15 cups = $0.40 / cup
5)
most people would consider the Large to be the better buy because the price per cup is lower.
What is the 5th row of Pascal's triangle?
Answer:
Row 5 115 161051
Step-by-step explanation:
Ella needs to buy 43 party favors that cost $2.75 each. Estimate the total cost by rounding the number of favors to the nearest ten and cost of each favor to the nearest dollar
A. $118.25
B. $120
C.$129
D.$135
Answer:
b.$120
Step-by-step explanation:
Party Favors rounded= 40
Dollars rounded= 3
40x3= 120
if there are 60 houses and every house have one kid and there's 30 parts how much kids will have to go to each Park
Answer:
2 parks
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
There would be 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20
hello, i need help c:
Answer: there were 50 guests
Step-by-step explanation:
When 5,708,100,000 is written in scientific notation, the decimal number will be multiplied by which power of 10?
the eighth power of 10
the ninth power of 10
the tenth power of 10
the eleventh power of 10
Answer:
ninth power of 10
Step-by-step explanation:
count the number of digits then subtract 1
Answer:
ff
Step-by-step explanation:
64/ 896 neeed to use dividing decimals
Write a statement that indacates that the triangles in each pair are congruent
Answer:
The answer would be C
Step-by-step explanation:
Because if you look at the triangles you can where they match up and if you look at the lines you can tell if they match up and C matches that`s how I did it well that`s how I do it when I do math
On what intervals is the function shown in the graph increasing?
A) x<-4 and x > 2
B) x<-4 and -1 < x < 2
C) -4 2
D) -4
Answer: [tex]-4 < x < -1[/tex] and [tex]x > 2[/tex]
Explanation:
The graph is increasing when the curve moves uphill as you move to the right. In other words, as x increases, y increases.
The first portion where the graph increases is from x = -4 to x = -1. In the span of -4 < x < -1 is when the graph goes uphill as shown by the red portion below. The blue portion is the second increasing piece that goes on forever upward, and this happens when x > 2.
50 points for the answers to this question
Answer:
linear, non linear, non linear, non linear
For what positive number is the cube of the number greater than twice it’s square
Answer:
You want to solve the equation
x2=2x3 ,
which is equivalent to
x2(1−2x)=0 .
The product of two factors is zero if and only if one of the factors is zero. Thus, this implies that either x2=0 or that 1−2x=0 .
In the former case we have x=0 , which isn’t a positive number. In the latter case you have x=1/2 , which is the solution that we want.
Step-by-step explanation:
HELP ME OUT PLEASE!!!!!!!!
Which associations best describe the scatter plot?
Select each correct answer
Nonlinear association
Linear association
Negative association
Positive association
Answer:
linear association, correct
Answer:
There are two answers: it is Nonlinear association and Linear association
Step-by-step explanation:
Nonlinear association- When comparing two data sets if the data from one set increase, the data from the second set decrease (it basically means a scatter plot that is decreasing).
Linear association- arranged in extending along a straight or nearly straight line.
I also took the test it it was correct.
If right you get brainiest!
A little mermaid can swim 12 miles downstream in the same amount
of time she can swim 8 miles upstream. What is the little mermaid's
speed in still water if the speed of the current is 4 mph?
Answer:
20 mph
Step-by-step explanation:
time = distance / speed
speed up stream = s - 4
speed down stream = s + 4
time up = time down
8 / (s - 4) = 12 / (s + 4)
cross multiply
8s + 32 = 12s - 48
subtract 8v from both sides
32 = 4s - 48
add 48 to both sides
80 = 4s
Divide both sides by 4
20 = s
20mph
What is the value of the expression?
(323+1715)−(1135+213)
Enter your answer as a mixed number in simplest form by filling in the boxe
Answer:
690
Step-by-step explanation:
(323+1715)-(1135+213)
(2038)-(1348)
=690
The value of the expression is 690
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is (323+1715)−(1135+213)
We have to find the value of expression
By using PEMDAS rule we solve the expression
Let us find the value in parenthesis
2038 -1348
We get 690
Hence, the value of the expression is 690
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A car travels a distance of 7575 meters in a time of 25 hours. What is the car's speed?
Answer:
303 miles per hour
Step-by-step explanation:
PLEASE ANSWER FAST BUT CORRECTLY
Answer:
A-quadratic
B [tex]- \infty\leq x\leq \infty[/tex]
C [tex]-1\leq x\leq \infty[/tex]
D -3.7071 and -2.2929
E 17
F (-3, -1)
G(17,0) (-2.2929 -3.7071)
h(17,0) -3.7071,0)
j even
Trish has 7 cans of dog food for 3 days. She will feed each dog 2 1/3 cans of food each days. If she wants to feed them 3 cans each day how many more cans of food will she need
Answer:
2 more cans
Step-by-step explanation:
2 1/3 x 3 = 7 cans (this the amount of cans of dog food she has)
3 x 3 = 9
the 3 represents how she wants to feed 3 cans of dog food each day for 3 days; the other 3 represents 3 days
9 - 7 = 2
Simplify the expression ((1/2)^3)^3
Helppp
(x + 1)(x - 1)
I dont understand this could any1 help me
Answer:
x^2-1
Step-by-step explanation:
you must use the distributive property
first you do x•x=x^2,
then you do x•1 and x•-1 to get x and -x and those cancel out,
the you do 1•-1=-1, then you put it together to get x^2-1
Step-by-step explanation:
It's a factored form of the quadratic equation
[tex] {x}^{2} - 1[/tex]
in the form of [tex] {ax}^{2} + bx + c[/tex]
in which a = 1, b = 0, c = 1.
Help help
Help help help help help
Answer:
It equals 1.66666666666...
But you can round it to 1.7 if your rounding to the nearest tenth.
Find the difference between 11/5 and 5/2 on a number line
Answer:
Step-by-step explanation:
number line:
11 5
_ = 22/10 _ = 25/10
5 2
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
____________________________________________________________
10 1010 10 1010 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10
5/2 is 3/10's bigger than 11/5