Given:
Initial cost of living = $44,000
Rate of increase = 5% = 0.05
To find:
The cost of living in 20 years.
Solution:
The exponential growth model is:
[tex]y=a(1+r)^t[/tex]
Where, a is the initial value, r is the growth rate and t is the number of years.
Putting [tex]a=44000,r=0.05, t=20[/tex] in the above model, we get
[tex]y=44000(1+0.05)^{20}[/tex]
[tex]y=44000(1.05)^{20}[/tex]
[tex]y=116745.099026 [/tex]
[tex]y\approx 116745.10 [/tex]
Therefore, the cost of living in 20 years is about $116745.10.
can someone please help me with this question?
Answer:
402.12
Step-by-step explanation:
V=πr2h= π·42·8≈402.12386
Answer:
864 feet
Step-by-step explanation:
Plug numbers in
Plz help its due by 1
11.5
Step-by-step explanation:
can someone please help me
Como hago para calcular el porcentaje de unos datos agrupados , porfa ayuda no entiendo. osea tipo : tengo que calcular cual es el porcentaje de personas que trabajan que tienen esta edad 31-46 y pues nose si colocar 3%-4% ay no se estoy perdida porfa si entienden lo q trato de decir me ayudaria resto
Answer:
Falta información para darte una respuesta exacta, así que voy a dar una explicación general de este tipo de problemas.
Querés saber cuál es el porcentaje de personas que trabajan y están en el rango de edades entre 31 y 46.
Entonces lo primero que tenemos que hacer es encontrar el número total de personas que trabajan, digamos que es T (esto es el 100%)
Luego hay que encontrar el número total de personas que trabajan y tienen entre 31 y 46, digamos que es N.
Podemos relacionar estas cantidades con porcentajes de la siguiente manera:
N = P
T = 100%
Donde P es el porcentaje que queremos calcular.
Si tomamos el cociente de esas dos ecuaciones, obtenemos:
N/T = P/100%
Resolviendo para P obtenemos:
(N/T)*100% = P
El porcentaje de personas que trabajan y tienen entre 31 y 46 va a ser entonces:
P = (N/T)*100%
Así sabiendo el número total de personas que trabajan y el número de personas que trabajan y además tienen edades entre 31 y 46, podemos calcular el porcentaje que queremos.
Particularmente decis que no sabes si colocar 3% o 4%.
Lo que podria implicar que tambien quizas tengas un problema de redondeo.
Si tenes un numero como:
3.a%
donde a es un digito entre 0 y 9
si a es menor que 5, entonces redondeamos para abajo, y asi obtenemos:
3.a% = 3%
si a es igual a 5 o mayor, redondeamos para arriba, asi obteniendo:
3.a% = 4%.
Please Hurry!!!!!
Jordan is tracking a recent online purchase. The shipping costs state that the item will be shipped in a 24-inch long box with a volume of 2,880 cubic inches. The width of the box is seven inches less than the height. The volume of a rectangular prism is found using the formula V = lwh, where l is the length, w is the width, and h is the height. Complete the equation that models the volume of the box in terms of its height, x, in inches. x2 - x = Is it possible for the height of the box to be 15 inches?
Answer:
Jordan is tracking a recent online purchase. The shipping costs state that the item will be shipped in a 24-inch long box with a volume of 2,880 cubic inches. The width of the box is seven inches less than the height.
The volume of a rectangular prism is found using the formula V = lwh, where l is the length, w is the width, and h is the height. Complete the equation that models the volume of the box in terms of its height, x, in inches. 24 x2 - 168 x = 2,880
Is it possible for the height of the box to be 15 inches?
Yes
Answer:
24 x2 - 168x = 2,880, Yes
Step-by-step explanation:
.
Please look at picture
Answer and Step-by-step explanation:
1. Figure A, B, and C are Parallelograms
2. Figure A and C are Rectangles
3. Figure A is a Square
#teamtrees #PAW (Plant And Water)
Answer:
1) a, b, & c
2) a & c
3) a & c
Step-by-step explanation:
how do i find the diameter of a circle with only knowing the area?
Answer:
2 * (Area/pi)^(1/2) = diameter
Step-by-step explanation:
The equation for the area of a circle is A = pi * r^2
We can divide both sides by pi to get:
A/pi = r^2
Then take the square root of both sides to get:
(A/pi)^(1/2) = r
Then, since D = 2 * r, we can multiply both sides of the above equation by 2 to get:
2 * (A/pi)^(1/2) = 2 * r = D
Answer:
d=2[tex]\sqrt{a/\pi }[/tex]
Step-by-step explanation:
Maria’s phone bills were $95, $67, $43, and $115. What was the mean, or average, of her phone bills?
Answer:
the mean is $80
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
Mean of Phone Bills =
[tex] \frac{phone \: bills \: total}{number \: of \: phone \: bills} \\ = \frac{95 + 67 + 43 + 115}{4} \\ = \frac{320}{4} \\ = 80[/tex]
Which expression is equivalent to
2x +3 - 3x + (-2)
A x + 5
B 12
12x - 1
x + 1
D 1 - 1
Answer:
-x + 1
Step-by-step explanation:
First, rewrite 2x +3 - 3x + (-2) as 2x +3 - 3x - 2. Note that +(-2) = -2.
Next, combine like terms. We get -x + 1.
Double check to determine whether this is one of the given possible answers.
Tatiana has 894 flowers. She is making bouquets with 8 flowers in each bouquet. When she is done making all of the bouquets, how many flowers will she have left over? *
Answer:
6
Step-by-step explanation:
The remainder when 8 divides 894 is 6. So, she will be left with 6 flowers.
Sonya randomly surveys 26 seventh graders to gather data about the amount of time spent each week using the Internet. Sonya records the data in the dot plot shown. What is the median of the data set?
What is the mean and the median
Answer:
You're lucky I have the dot plot, other wise this could not be answered.
Median: 7.5
Mean: 7.5
Yes, they are both 7.5.
Find the one of the following sets of side lenghts could represent a right triangle
Answer:
B
Step-by-step explanation:
Using the pythagorean theorem A^2 + B^2 = C^2 the only numbers that work are those in choice B. 8 short leg, 15 long leg, 17 hypotenuse.
8^2 + 15^2 = 17^2 = 64 +225=289 = 289=289 therefor proving these set of numbers are a right triangle.
can someone help my lil sis again.
Answer:
282 + d
Step-by-step explanation:
Number of miles driven by Deandre for week 1 = 282 miles
Number of miles for week 2 = d
Total number of miles driven for two weeks can be expressed as:
(282 + d) miles
The coordinates of the vertices of triangle QRS are Q (1,-2), R (1,9),
S (6,-4). What is the length, in units, of the line segment that connects
vertex Q to vertex R?
I think 1700000000000000000
Answer:
QR = 11
Step-by-step explanation:
Q and R are on a vertical line. Therefore, QR = 9 - (-2) = 9 + 2 = 11
I’ll give you brainleist please just help fast
Answer:
It's 76 degrees
Step-by-step explanation:
Thanks for branliest
Answer:
76
Step-by-step explanation:
the interior angles of a triangle always add up to 180 degrees, so all we have to do is add the 2 angle values that we know, so 48 + 56=104, then we subtract that from 180 to get 76. Hope this helps!
Solve super fast please
Answer:
x = 8
Steps:
(4x-2) + (17x+14) = 180
4x + 17x -2 + 14) = 180
21x + 12 = 180
21x = 180-12
21x = 168
x = 168/21
x = 8
What is (x+1) (x+2) in standard form?
Answer:
x^2+3x+2
Step-by-step explanation:
Answer:
X^2 + 3X+2
Step-by-step explanation:
Multiply x's then multiply x's with the one and 2
then add the 2x + 1x
and you should get x^2 + 3x +2
I hope that helps
your welcome
Line GH passes through points (-6,-30) and (4,-5) . What is the linear equation for line GH?
Answer:
y=1/4x+2
Step-by-step explanation:
The point-slope form of the equation of the line that passes through (-4, -3) and (12, 1) is y - 1 =1/4 (x - 12). The slope-intercept form of the equation for this line.
Answer:
y=1/4x+2
The point-slope form of the equation of the line that passes through (-4, -3) and (12, 1) is y - 1=1/4 (x - 12). The slope intercept form of the equation for this line.
PLEASE HELPP ASAP!!! (brainly if u help)
A camper on top of a 400 foot cliff is enjoying the view. They look down and see a
bear at an angle 37 degrees. Approximately how far is the bear from the base of the
cliff? (Round your answer to the nearest foot.). REMEMBER THE UNITS
Answer:
301.42 ft from base
Step-by-step explanation:
We can look at this situation as a triangle, the cliff is straight up and we're looking for the lowest side of the triangle. So to figure this out we use tangent, tangent is equal to Opposite over adjacent. So the tangent(37)= bear from base/height of cliff. We then multiply tan(37) by 400 to get the answer
Which correctly describes how the graph of the inequality 5x + 2y = 13 is shaded?
Answer:
The answer is above the solid line.
Step-by-step explanation:
Which of the following is a true statement based on the graph shown ?
Answer: I feel like it's the last one
Step-by-step explanation: ahhh I could be wrong I've had this problem before and I'm certain I chose the last one but I could be wrong if I'm wrong then I'm very sorry
What is the intermediate step in the form (x+a)^2=b(x+a)
2
=b as a result of completing the square for the following equation?
6x^2+48x+207=15
Answer:
The intermediate step are;
1) Separate the constants from the terms in x² and x
2) Divide the equation by the coefficient of x²
3) Add the constants that makes the expression in x² and x a perfect square and factorize the expression
Step-by-step explanation:
The function given in the question is 6·x² + 48·x + 207 = 15
The intermediate steps in the to express the given function in the form (x + a)² = b are found as follows;
6·x² + 48·x + 207 = 15
We get
1) Subtract 207 from both sides gives 6·x² + 48·x = 15 - 207 = -192
6·x² + 48·x = -192
2) Dividing by 6 x² + 8·x = -32
3) Add the constant that completes the square to both sides
x² + 8·x + 16 = -32 +16 = -16
x² + 8·x + 16 = -16
4) Factorize (x + 4)² = -16
5) Compare (x + 4)² = -16 which is in the form (x + a)² = b
Let f(-x) = 5x – 2 and g(x) = 2x + 3 and find f(x) –
f(0) — 9(x) = 7x – 1
f(.2) – 9(x) = 7x + 1
f(x) — 9(2) = 3x – 5
f(x) – 9(x) = -3x +5
Answer:
3x - 5
Step-by-step explanation:
Given that f(x) = 5x - 2 and g(x) = 2x+3
f(x) - g(x) = 5x-2 - (2x+3)
Expand
f(x) - g(x) = 5x - 2 - 2x - 3
Collect like terms
f(x) - g(x) = 5x - 2x -2-3
f(x) - g(x) = 3x - 5
Hence the required answer is 3x - 5
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answer:
21
Step-by-step explanation:
What is the value of x?
9514 1404 393
Answer:
98
Step-by-step explanation:
The angle bisector divides the triangle proportionally. This means ...
VY/VT = KY/KT
VY = VT(KY/KT)
x = VY +KY = (KY(VT/KT) +KY) . . . . . use the expression for VY
x = KY(VT/KT +1) . . . . . . . . . . . . . . . factor out KY
x = (68)(57/129.2 +1) . . . . . . . . .. put in the numbers
x = 98
Answer:
the answer is x=98
Step-by-step explanation:
:))))
Two matchsticks have the same length as three bottle tops. How many bottle tops will have the same length as 50 matchsticks?
The selling price of an item is $520. It is marked down by 10%, but this sale price is still marked up from the cost of 360$. Find the markup from cost to sale price.
Answer:
30%
Step-by-step explanation:
Answer: good luck
Step-by-step explanation:
01. Apenas uma das matrizes abaixo é, ao mesmo tempo, quadrada, diagonal e identidade. Identifique-a: a[0,1,0,1]. B[1,0,0,1]. C[1,3,0,1]. D[1,1,1,1]. E[0,1,1,0]]
Responder:
b)
1 0
0 1
Explicação passo a passo:
Das opções fornecidas:
Todas as opções atendem à condição de uma matriz quadrada, pois todas têm o mesmo número de linhas e colunas (2 * 2)
Para ter uma matriz diagonal, todas as entradas fora da diagonal principal serão Zero.
Por outro lado, a matriz de identidade é um tipo especial de matriz quadrada com uma ao longo da diagonal principal.
Indo por essas condições apenas a matriz (b); atende às três condições.
David has a bag of coins. The bag contains 7 dimes, 2 nickels, and 6 pennies. He will randomly select 2 coins from the bag one at a time
without replacement. What is the probability that David will select a dime first and then a penny?
O 0.25
0.3
O 0.2
0.1
Answer:
0.2
Step-by-step explanation:
[tex]\frac{7}{15}[/tex] x [tex]\frac{6}{14}[/tex] = 0.2
At the beginning of school you set-up a 4 digit pin to get into your My Payments Plus
account, however you have not used your account since you set it up and forgot the
number. You remember that the first number was a 4 and the second number was
either a 5, 6, or 7. You had no idea what the last two numbers were.
How many
different combinations are possible?
900 combinations
200 combinations
300 combinations
1200 combinations
Answer:
Step-by-step explanation:
The first number is one choice: 1
the second number is one of 3: 3
The last 2 digits can each be any one of the 10 digits from 0 to 9: 10 * 10
3*100 = 300
Not too many, but it will take you awhile to run through them.