Answer:
The balance after 6 years is $1110.812026
Step-by-step explanation:
The rule of the compound interest is A = P[tex](1+\frac{r}{n})^{nr}[/tex], where
A is the new amountP is the initial amountr is the interest rate in decimaln is the number of periodst is the time in years∵ Layla opened a savings account and deposited $700.00 as principal.
∴ P = 700
∵ The account earns 8% interest compounded annually
∴ r = 8% = 8 ÷ 100 = 0.08
∴ n = 1 ⇒ compounded annually
∵ The time is 6 years
∴ t = 6
→ Substitute these values in the rule above
∵ A = 700[tex](1+\frac{0.08}{1})^{1(6)}[/tex]
∴ A = 700[tex](1.08)^{6}[/tex]
∴ A = 1110.812026
∴ The balance after 6 years is $1110.812026
What are the roots of the equation x2 – 10x + 21 = 0?
Answer:
Step-by-step explanation:
H
x intercepts of -12x^2+108x=h and the y intercept
Answer:
x: 0 or 9
y-int: 0
Hello, I am struggling a bit with this question please help
Answer:
-7.4
-2/3
⅔-0.1
0
4/8
2.7
5 1/9
29/4
Step-by-step explanation:
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Answer:
Step-by-step explanation:
first put everything in decimal
-0.1,2.7,0.25,7.25,0,-7.4,5.667
lowest to greatest
-0.1,-7.5,0,0.25,2.7,5.667,7.25
-0.1,-7.25,0,4/8,2.7,51/9,29/4
At costco food court a family can purchase 4 hot dog meals for 6$ what is the cost per person
Answer:
$1.50
Step-by-step explanation:
Answer:
$1.5
Explanation:
6 / 4?
Find the first four terms of the sequence given by the following.
a₁ = -3.5"-1 n=1, 2, 3
the first four terms of the sequence is 51,51.8,52.6,53.4
we can find first four terms by using formula given by
[tex]a_{n} =a_{1} +(n-1) *d[/tex]
[tex]a_{n}[/tex] = the nᵗʰ term in the sequence
[tex]a_{1[/tex] = the first term in the sequence
d = the common difference between terms
Arithmetic progression is a progression in which every term after the first is obtained by adding a constant value, called the common difference (d). So, to find the nth term of an arithmetic progression, we know an = a1 + (n – 1)d. a1 is the first term, a1 + d is the second term, the third term is a1 + 2d, and so on
an=51 + (n-1)*0.8, n=1, 2, 3...
a1 = 51 + (1 -1 ) * 0.8
a1 = 51
a2 = 51 + (2 - 1)*0.8
a2 = 51 + 0.8
a2 = 51.8
a3 = 51 + (3 - 1)*0.8
a3 = 51 + 2*0.8
a3 = 51 + 1.6
a3 = 52.6
a4 = 51 + (4 - 1)*0.8
a4 = 51 + 2.4
a4 = 53.4
Hence , the first four terms of the sequence is 51,51.8,52.6,53.4
the complete question is
Find the first four terms of the sequence given by the following.
an=51 + (n-1)*0.8, n=1, 2, 3...
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What is the perimeter of the shape below?
Answer:
what are the units?
Step-by-step explanation:
depends on the side of 1 square
if it is 1 unit, perimeter is 22 units
show your solution
find the 6 and 7 term
Answer:
1/6 and 1/7
Step-by-step explanation:
1/6 and 1/7
As we can see the denominator keeps increasing by 1 but the numerator stays as 1 :
1/1 or 1 is the first term
1/2 is the 2nd term
1/3 is the 3rd term
So :
1/6 is the 6th term
and 1/7 is the 7th term
An architect built a scale model of a sports stadium using a scale in which 2 inches represents 30 feet. The height of the sports stadium is 180 feet. What is the height of the scale model in inches?
Answer:
12 inchesStep-by-step explanation:
Given the conversion factor;
2inches = 30feet
if the height of the building is 180feet, we are to find the height of the scale model in inches.
Let x = 180 feet.
Equating both;
2inches = 30feet
x inches = 180feet
Cross multiply;
30 * x = 2 * 180
30x = 360
x = 360/30
x = 12inches
Hence the height of the scale model in inches is 12inches
Answer: 60 in
Step-by-step explanation:Let x = 180 feet.
Equating both;
2 inches = 30 feet
x inches = 180 feet
Cross multiply;
30 * x = 2 * 180
30 x = 360
x = 360/30
x = 60 inches
A contractor needs to buy nails to build a house. The nails come in small boxes and large boxes. Each small box has 50 nails and each large box has 400 nails. The contractor bought six more small boxes than large boxes, which altogether had 1200 nails. Create a system of equations to represent this situation. Define the variables that you use to write the system.
Answer:
https://brainly.com/question/14526835?referrer=searchResults#
some one already answered the question you have
Step-by-step explanation:
PLEASE HELP FAST!
Determine the domain of the relation graph below.
A.) (-4,2]
B.) [-4,2)
C.) [-1,5)
D.) [1,5]
Answer: The answer is option A.
Step-by-step explanation: A white, non colored dot means always use a ( bracket. A solid, colored dot means use the [ bracket. Now it's farthest left at -4, and farthest right at 2. Thus, option A
Trying to get a 100 on every assigment because I wanna be top student in class :) So please help
Answer:
About 30%
Hope this helps :)
Answer:
30%
Step-by-step explanation:
5 times 4 = 20 (area)
100 divided by 20 = 5
5 times 6(the amount of shaded blocks) = 30
therefore its 30% of 100
The perimeter of a rectangle is 37cm find X
Which of the following equations has a slope of -3 and a y-intercept of 8?
y=−8−3x
y=8−3x
y=8x−3
y=−8x−3
What is the slope of all lines parallel to the line 4x - 5y = -1?
im new to this btw ill give you crown
The slope of the graphed linear equation is a = 3/4.
What is the slope of the graphed linear function?A general linear equation is of the form:
y = a*x + b
Where a and b are real numbers, a is the slope, and b is the y-intercept.
If a line passes through two points (x₁, y₁) and (x₂, y₂), then the slope of that linear equation is given by:
a = (y₂ - y₁)/(x₂ - x₁)
Now, we can look at the graph to identify two points on the line, we can use (20, 40) and (60, 70), using the above formula we can get the slope:
a = (70 - 40)/(60 - 20)
a = 30/40 = 3/4
The slope of the graphed linear equation is a = 3/4.
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multiple choice, plz help
What is equivalent to (6xp)+3
Answer:
1(6xp+3)
Step-by-step explanation:
Multiply
60 students in a school election 45% voted for aliyah. how many votes did aliyah get?
Answer:
27
Step-by-step explanation:
60 times .45 equals 27
If FGH=QRS, find the measure of Q.
Answer: 28
Step-by-step explanation: i got the same test
A parallelogram is drawn such that the diagonals are congruent. Which shape below would not fit this description?
The shape that would not fit this description is a trapezoid.
What is a trapezium?It is a quadrilateral that has one pair of parallel sides and a height.
The area is calculated as 1/2 x the sum of the parallel sides x height.
Examples:
Area of a trapezium that has the parallel sides as 3 cm and 4 cm and a heght o 5 cm.
Area = 1/2 x (3 + 4) x 5
Area = 1/2 x 7 x 5
Area = 35/2 = 17.5 cm^2
We have,
A parallelogram is a four-sided shape where opposite sides are parallel and congruent.
If a parallelogram has diagonals that are congruent, it must be a rectangle.
Therefore, the shape that would not fit this description is any shape that is not a rectangle.
Out of the shapes given,
A trapezoid is not a rectangle and does not have diagonals that are congruent.
Therefore,
The shape is a trapezoid.
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Ben's car needs work. The mechanic charges $140 for parts plus $48 per hour for
labor. The mechanic said the bill will be at least $300. What is the possible number of
hours that the mechanic will work on Joe's car? Use an inequality to solve this problem.
the mechanic will work at least 6hours
Find the values of r and t.
Write a system of equations and solve. A chemist wants to make a 10% solution of fertilizer. How much water and how much of a 30% solution should the chemist mix to get 30 L of a 10% solution?
Answer:
x=10 L of .30 solution
x+y=30
y=20 L water
Step-by-step explanation:
the difference of 3 times a number and 7 is written how ?
Provide two examples that support the healthcare industry’s reliance on metrology for accuracy of instruments.
Answer:
because they need to measure the dosages for the patients.
And because they need to know how to accurately measure the patients height, and weight so they know what dosage to give them.
Step-by-step explanation:
plz mark brainliest
Please help asap! I attached the image.
Step-by-step explanation:
[tex] {5}^{2} = {x}^{2} + {x}^{2} \\ {5}^{2} = {x}^{4} \\ 5 = \sqrt{ {x}^{4} } \\ 5 = {x}^{2} \\ x = \sqrt{5} =2.236068\\ [/tex]
1. Un representante de ventas debe visitar 6 ciudades durante un viaje. a) Si hay 10 ciudades en el área geográfica que va a visitar ¿Cuántos grupos diferentes de seis ciudades podrá seleccionar? b) Suponga que las seis ciudades por visitar han sido designadas, pero no la secuencia en que se han de visitar ¿Cuántas secuencias posibles existen para las seis ciudades designadas?
Answer:
a) Hay 210 grupos diferentes de seis ciudades que el representante de ventas podrá seleccionar.
b) Hay 720 secuencias posibles existen para las seis ciudades designadas.
Step-by-step explanation:
a) Se llama combinaciones de m elementos tomados de n en n a todas las agrupaciones posibles que pueden hacerse con los m elementos de forma que no entran todos los elementos , no importa el orden y no se repiten los elementos. La combinación se calcula como:
[tex]C=\frac{m!}{n!*(m-n)!}[/tex]
En este caso m corresponde a las 10 ciudades en el área geográfica que va a visitar, mientras que n corresponde a las 6 ciudades que debe visitar un representante de venta durante un viaje.
Entonces:
[tex]C=\frac{10!}{6!*(10-6)!}=\frac{10!}{6!*4!}[/tex]
Considerando que el factorial ! indica que se deben multiplicar todos los números enteros y positivos que hay entre el número que aparece en la fórmula y el número 1, entonces la combinación dará como resultado:
C= 210
Hay 210 grupos diferentes de seis ciudades que el representante de ventas podrá seleccionar.
b) Se llama permutación de n elementos a cada una de las diferentes ordenaciones que se pueden hacer con esos elementos.
Si se tiene un grupo de n objetos distintos, el número de maneras diferentes que podemos tomar un número r de objetos (r < n) del grupo, está dado por la fórmula de la permutación:
[tex]P=\frac{n!}{(n-r)!}[/tex]
Si m=n para calcular el total de permutaciones se utiliza la fórmula:
P= n!
En este caso se utiliza esta última expresión, ya que se desea calcular las permutaciones de 6 ciudades en 6 posiciones:
P=6!
P=720
Hay 720 secuencias posibles existen para las seis ciudades designadas.
YOU HAVE A SWELLING INJURY. DO YOU USE….
Heat or ice?
Answer:
Ice would be the correct answer.
Answer:
if u want go to the doctor but use ice but if its to cold use a little heat not too much tho
Step-by-step explanation:
If you have injured your neck and are experiencing swelling, you should ice the area for at least 72 hours. After icing, you can use heat to help any lingering pain. Tight neck muscles and old injuries can benefit from heat only, as long as there isn’t any swelling.
i need help can someone figure these out?
Answer:the 2nd one is 30000 divided by 2000 is 15
Step-by-step explanation: so 15 minutes til they crash the plane
Answer:
1) y= 25x+50
2) y= -2,000x+30,000
3) y= 1.5x+5
Step-by-step explanation:
In each equation, there is a set amount (50 dollars, 30,000 feet, and 5 centimeters) and an amount that is influenced by another variable such as time(25 dollars, 2,000 feet, 1.5 centimeters). Hope this helped :)
what is the slope of the line please help thank you (picture)
Answer: D
Step-by-step explanation: just think rise over run, everytime it hits a cross in the graph count how many tiles there were between crosses and put the y diffrence on top of the x difference