Answer: 21 & 18
Step-by-step explanation:
Sum of two numbers is 39
Difference is 3
Let the numbers be x & y
X+y=39........equation 1
X-y=3...........equation 2
X=3+y............equation 3
Substitute equation 3 into equation 1
(3+y)+y=39
3+y+y=39
3+2y=39
2y=39-3
2y=36
Y=36/2
Y=18
Substitute for y in equation 2
X-y=3
X-18=3
X=3+18
X=21
The two numbers are 21 & 18
Answer:
La persona está a 5 kilómetros con respecto al punto de partida.
Step-by-step explanation:
Considérese que la dirección norte coincide con el semieje +y y que la dirección este coincide con el semieje +x. A continuación, obtenemos las formas vectoriales equivalentes de cada afirmación:
(i) Una persona camina 7 kilómetros hacia el norte:
![\vec r_{1} = 7\,\hat{j}\,[km]](https://tex.z-dn.net/?f=%5Cvec%20r_%7B1%7D%20%3D%207%5C%2C%5Chat%7Bj%7D%5C%2C%5Bkm%5D)
(ii) Después 3 kilómetros hacia el este:
![\vec r_{2} = 3\,\hat{i}\,[km]](https://tex.z-dn.net/?f=%5Cvec%20r_%7B2%7D%20%3D%203%5C%2C%5Chat%7Bi%7D%5C%2C%5Bkm%5D)
(iii) Y luego, 3 kilómetros hacia el sur:
![\vec r_{3} = -3\,\hat{j}\,[km]](https://tex.z-dn.net/?f=%5Cvec%20r_%7B3%7D%20%3D%20-3%5C%2C%5Chat%7Bj%7D%5C%2C%5Bkm%5D)
El vector resultante de desplazamiento se construye a partir de la siguiente suma de vectores:
(1)
![\vec R = 3\,\hat{i} + 4\,\hat{j}\,[km]](https://tex.z-dn.net/?f=%5Cvec%20R%20%3D%203%5C%2C%5Chat%7Bi%7D%20%2B%204%5C%2C%5Chat%7Bj%7D%5C%2C%5Bkm%5D)
Asumiendo que la distancia coincide con el desplazamiento resultante, calculamos la distancia con respecto al punto de partida mediante el Teorema de Pitágoras:


La persona está a 5 kilómetros con respecto al punto de partida.
Answer: Height = 20 inches
Width = 14 inches
Step-by-step explanation:
The aquarium is rectangular. The formula for determining the volume of a rectangular box is expressed as
Volume = LWH
Where L,W and H represents the length, width and height of the box.
The aquarium holding African cichlids is 6 inches higher than it is wide. It means that
H = W + 6
Its length is 33 inches, and its volume is 9240 cubic inches. It means that
9240 = 33W(W + 6)
9240/33 = W(W + 6)
280 = W² + 6W
W² + 6W + (6/2)² = 280 + (6/2)²
(W + 3)² = 280 + 9 = 289
Taking square root of both sides, it becomes
W + 3 = √289 = 17
W = 17 - 3
W = 14
H = W + 6 = 14 + 6
H = 20
Answer:
40 dollars
Step-by-step explanation:
25% of 16 minutes is 4 mins. 16+4=20 mins.
so 20*2=40 dollars
After 1 year, the initial investment increases by 7%, i.e. multiplied by 1.07. So after 1 year the investment has a value of $800 × 1.07 = $856.
After another year, that amount increases again by 7% to $856 × 1.07 = $915.92.
And so on. After t years, the investment would have a value of
.
We want the find the number of years n such that

Solve for n :




