Answer:
900
Step-by-step explanation:
Un conductor circula a 12 m/s. Acelera y pasa a circular a 20 m/s al cabo de 10 segundos. Calcula la aceleración del coche.
Answer:
Aceleracion = 0.8 m/s²
Step-by-step explanation:
Dados los siguientes datos;
Velocidad inicial = 12 m/s
Velocidad final = 20 m/s
Tiempo, t = 10 segundos
Para encontrar la aceleración;
Aceleración se puede definir como la tasa de cambio de la velocidad de un objeto con respecto al tiempo.
Esto simplemente significa que la aceleración viene dada por la resta de la velocidad inicial de la velocidad final a lo largo del tiempo.
Por lo tanto, si restamos la velocidad inicial de la velocidad final y la dividimos por el tiempo, podemos calcular la aceleración de un objeto. Matemáticamente, la aceleración viene dada por la fórmula;
[tex] Aceleracion = \frac{final \; velocidad - inicial \; velocidad}{tiempo}[/tex]
Sustituyendo en la fórmula, tenemos;
[tex] Aceleracion = \frac{20 - 12}{10}[/tex]
[tex] Aceleracion = \frac{8}{10}[/tex]
Aceleracion = 0.8 m/s²
What are the first four marks on the x-axis for the following graph?
Y= 3/4sin3x/2
Answer:
uhh i don't know the answer sorry
Step-by-step explanation:
ummm i Don't know
Victoria earns a gross annual income of $124,482 and is buying a home for $225,500. She is making a 20% down payment and financing the rest with a 30-year loan at 4.5% interest.
(a) What is the mortgage amount she will borrow?
(b) Can she afford this mortgage?
(c) What will her monthly mortgage payment be?
(d) What will her total payment for the house be?
(e) What is the amount of interest she will pay?
Answer:
(a) The mortgage amount she will borrow is $180,400
(b) Yes she can
(c) Her monthly payment will be approximately $914.06
(d) Her total repayment is approximately $329,061.6
(e) The amount of interest is approximately $148,661.6
Step-by-step explanation:
The details of the transactions are;
The gross annual income Victoria earns = $124,482
The cost price of the home she is buying, C = $225,500
The amount she is making as down payment = 20%
The duration the loan she id financing the rest with, t = 30-years
The interest rate on the loan, r = 4.5%
(a) The mortgage amount she will borrow, 'P', is the cost of the home less the down payment
The down payment = 20% of the cost of the home
∴ The down payment = (20/100) × $225,500 = $45,100
∴ P = $225,500 - $45,100 = $180,400
The mortgage amount she will borrow, P = $180,400
(b) Using the 2× to 2.5× gross income rule, we have;
2 × her annual income = 2 × 124,482 = 248,964
∴ 2 × her annual income > The mortgage = 180,400
She can afford the mortgage
(c) The monthly fixed payment for the mortgage is given as follows;
[tex]M = P \times \dfrac{r}{n} \times \dfrac{\left(1+ \dfrac{r}{n} \right)^{n \cdot t}}{\left[\left(1 + \dfrac{r}{n} \right)^{n\cdot t} - 1\right]}[/tex]
Where;
n = The number of periods per year = 12 monthly periods per year
180,400*0.045*(1 + 0.045)^(30)/((1 + 0.045)^(30) - 1)
[tex]M = 180,400 \times \dfrac{0.045 }{12} \times \dfrac{\left(1+\dfrac{0.045 }{12}\right)^{30 \times 12}}{\left[\left(1 + \dfrac{0.045 }{12}\right)^{30 \times 12} - 1\right]} \approx 914.060298926[/tex]
Her monthly payment will be M ≈ $914.06
(d) The total repayment is given as follows;
n × t × M
∴ 12 × 30 × 914.06 = 329061.6
The total payment for the house = $329,061.6
(e) The amount of interest = The total payment - The principal loan amount
∴ The amount of interest = $329061.6 - $180,400 = $148,661.6
Let x be an even integer. What is the product of the next two consecutive even integers?
O x^2+2x+4
O x^2+6x+8
O x(x+1)(x+2)
O x^2+3x+2
Answer:
The desired product is (x + 2)(x + 4).
Step-by-step explanation:
If x is an even integer, x + 2 is the next consecutive even integer and x + 4 the next.
The desired product is (x + 2)(x + 4).
A car dealership offers two types of discounts.
• Discount 1: Take 5% off the original price of a car built last year and then receive a
$3,500 rebate.
• Discount 2: Take 10% off the original price of a car built this year and then receive a
$1,250 rebate.
A customer is deciding between two cars.
• Car R was built last year and has an original price of $25,340.
• Car S was built this year and has an original price of $22,860.
Based on this information, which statement is true?
A The customer would pay $19,324 for Car S.
B The customer would pay $24,073 for Car R.
C The customer would pay $21,824 for Car S.
D The customer would pay $23,107 for Car R.
Answer:
The customer would pay $19,324 for Car S.
Step-by-step explanation:
Take Car S
$22,860 x .1 (ten percent) = $2,286
$22,860 (original car price) - $2,286 (minus the 10%) = $20,574 (new car price)
$20,574 - rebate of $1,250 = $19,324
The customer would pay $19,324 for Car S.
All other do not come out but this one does, so that is the only option for this!
Can you please help me with this question I keep getting the wrong answer
Answer:
14
Step-by-step explanation:
please solve for x!!!
Answer:
x = 20
Step-by-step explanation:
The two angles are verticals angles and vertical angles are equal
7x -99 = 2x+1
Subtract 2x from each side
7x-99-2x =2x+1-2x
5x-99 =1
Add 99 to each side
5x-99+99 = 1+99
5x =100
Divide each side by 5
5x/5 =100/5
x = 20
Answer:
x=20
set them equal to eac hother
7x-99=2x+1
-2x+99-2x+99
---------------------
5x=100
---- ------
5 5
x=20
helpppp plsssss(I’ll give 80 pointssss
Answer:
-4 + -6 = -10
Step-by-step explanation:
From the line at negative 4 it goes to negative 10 you need to add six to four to make ten. Though since it is negative numbers we add a negative 6
HELP!!!!! What is the geometric mean of 3 and 7?
Answer:
4.5826
Step-by-step explanation:
Someone please help me.
Answer:
with what life
Step-by-step explanation:
∠A and \angle B∠B are vertical angles. If m\angle A=(7x-8)^{\circ}∠A=(7x−8)
∘
and m\angle B=(6x+17)^{\circ}∠B=(6x+17)
∘
, then find the value of x.
2.75603957 rounded to 2 decimal places
A paint color is made using 4 drops of red and 5 drops of blue for each 5 gallons of paint. How many gallons of paint are being colored when 45 drops of color are used?
HELPPPPPPPPPPPPPPPPPPPP
Pi is: (click all that are correct) *
always the same, and is 3.14 or 22/7
delicious
used to help find the circumference of a circle
always a different number pls help lol
yes,Pi is 3.142 or 22/7
Step-by-step explanation:
22/7=3.14285714
angle not necessarily drawn to scale
Answer:
pretty sure its 67
Step-by-step explanation:
straight line=180 and that one angle is a right angle
basically 90+23+x=180
x=67
The probability of spinning a 9 on Luke's game spinner is . The probability of rolling a 6 on a fair
die is Which shows the probability of spinning a 9 and then rolling a number that is NOT a 6?
Answer:
First, there are
3
numbers (6, 7, 8) greater than
5
on a spinner numbered
1
-
8
(1, 2, 3, 4, 5, 6, 7, 8). Therefore, there is a:
3
8
probability of spinning a number greater than
5
.
However, there is only a 50-50 or
1
2
chance of tossing a tail on a coin.
Therefore the probability of spinning a number greater than
5
AND tossing a tail is:
3
8
×
1
2
=
3
16
Or
3
in
16
Or
18.75%
Step-by-step explanation:
Convert 73.5% to a fraction in lowest terms.
Answer:
147/200
Step-by-step explanation:
Explain, using complete sentences, how you would reconcile your check register with your monthly bank statement
How do you reconcile a bank statement?
Step 1: Adjust the bank statement balance. All your transactions for the month may not be on your bank statement. ...
Step 2: Adjust the check register balance. Your bank statement may include items that you didn't record in the check register. ...
Step 3: Compare the adjusted balances.
Solve: 6x - 13 = 4(x + 10) + 2x
Answer:
null
Step-by-step explanation:
Answer: 0=53
Step-by-step explanation:
Factor the expression:
x2-1x-56
What are the coordinates of the vertex of the parabola described by the equation below? y = -5(x + 2)^2 + 7
A. (2, -7) O B. (-7,-2) O C. (7,2) O D. (-2,7)
After inspecting the expression and comparing it with the standard equation of the parabola, the location of the vertex is (x, y) = (- 2, 7). (Correct choice: D) #SPJ5
How to determine the location of the vertex of the parabola by algebraic meansThe vertex is the bound point that characterizes parabolas and which can be a maximum or a minimum but never both. As we know the standard equation of the parabola, we can determine the location of the vertex, whose coordinates are (x, y) = (h, k), by just interpretating the equation, whose form is:
y - k = a · (x - h)² (1)
After inspecting the expression and comparing it with the standard equation of the parabola, the location of the vertex is (x, y) = (- 2, 7). (Correct choice: D) #SPJ5
To learn more on parabolas, we kindly invite to check this verified question: https://brainly.com/question/4074088 #SPJ5
Combine the like terms to create an equivalent expression for −n+(−4)−(−4n)+6
Answer:
3n + 2
Step-by-step explanation:
−n+(−4)−(−4n)+6
-n - 4 + 4n + 6
3n + 2
Please help due today:///
A cylindrical soup can has a diameter of 3 in. and is 6.2 in. tall. Find the volume of the can.
Answer:
b
Step-by-step explanation:
PLEASE HELP FAST I WIL MARK BRAINLIEST
Answer: AB = 15 because sides AB and AD are congruent
Step-by-step explanation:
A recipe calls for 1/3 of a cup of butter. If Matthew is making 1/4 of the recipe, how much butter should he use?
Answer:
1/12 a cup
Step-by-step explanation:
1/3*1/4=1/12
Answer:
1/12
Step-by-step explanation:
1/3*1/4=1/12
Please help asaaap number 9
Answer:
The answer is 5 years
Step-by-step explanation:
50+(3x5)=65
75-(2x5)=65
Use the sequence {−1,171,875;−234,375;−46,875;−9375,…} to answer the question.
What is the explicit rule that describes the sequence?
an=−1,171,875(125)n−1
an=1,171,875(−15)n−1
an=−1,171,875(15)n−1
an=1,171,875(−115)n−1
Answer:
an = −1,171,875(1/5)^n-1
Step-by-step explanation:
The given sequence is geometric sequence since they have the same common ratio r. The nth term of a geometric sequence is expressed as;
an = ar^n-1
n is the number of terms
r is the common ratio
a is the first term
From the sequence;
a = −1,171,875
r = −234,375 /−1,171,875 = -46,875/−234,375 = 0.2
r = 1/5
Substitute the values in the formula;
an = −1,171,875(1/5)^n-1
Hence the required explicit formula is an = −1,171,875(1/5)^n-1
The explicit rule that describes the sequence is [tex]\rm a_n = -1,171,875 (\dfrac{1}{5})^{n - 1 }[/tex]. Then the correct option is C.
What is a sequence?A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.
The sequence is {−1,171,875;−234,375;−46,875;−9375,…}
The given sequence is the geometric sequence since they have the same common ratio r. Then the nth term of the geometric sequence will be
[tex]\rm a_n = a\ r^{n-1}[/tex]
Where
Number of terms (n)
First-term (a) = -1,171,875
Common ratio (r) = 1/5
Then nth term will be
[tex]\rm a_n = -1,171,875 (\dfrac{1}{5})^{n - 1 }[/tex]
The explicit rule that describes the sequence is [tex]\rm a_n = -1,171,875 (\dfrac{1}{5})^{n - 1 }[/tex]. Then the correct option is C.
More about the sequence link is given below.
https://brainly.com/question/21961097
You draw one card from a deck. If you do
this 100 times, how many times would you
expect that it's a red 3?
Around 4 times, maybe 3
Step-by-step explanation:
there's 2 red 3s and there's 52 cards in a deck. so u have a 2/52 chance to get a red 3 so its about a 4/104 chance to get a red 3 if u draw 1 card 100 times