To find the answer you will write and equation in terms of the cost of a bag of chips.
3(cost of milk) + 4 (cost of water) + 8 (cost of bag of chips) = $21.30
3 (2c +1.60) + 4 (2c) + 8 (c) = $21.30 ; Simplify
6c + 4.80 + 8c + 8c = 21.30
22c + 4.80 = 21.30
- 4.80 -4.80
<u>22c </u> = <u>$16.50</u>
22 22
c = 0.75
The chips cost $0.75 each.
The milk costs (2 x $0.75 + $1.60) $3.10 each.
The water costs (2 x $0.75) $1.50 each.
The initial investment = $250
<span>annual simple interest rate of 3% = 0.03
</span>
Let the number of years = n
the annual increase = 0.03 * 250
At the beginning of year 1 ⇒ n = 1 ⇒⇒⇒ A(1) = 250 + 0 * 250 * 0.03 = 250
At the beginning of year 2 ⇒ n = 2 ⇒⇒⇒ A(2) = 250 + 1 * 250 * 0.03
At the beginning of year 3 ⇒ n = 3 ⇒⇒⇒ A(2) = 250 + 2 * 250 * 0.03
and so on .......
∴ <span>The formula that can be used to find the account’s balance at the beginning of year n is:
</span>
A(n) = 250 + (n-1)(0.03 • 250)
<span>At the beginning of year 14 ⇒ n = 14 ⇒ substitute with n at A(n)</span>
∴ A(14) = 250 + (14-1)(0.03*250) = 347.5
So, the correct option is <span>D.A(n) = 250 + (n – 1)(0.03 • 250); $347.50
</span>
Hey!
Well a soccer field would be a rectangle and if cut across you will be presented with two right triangles. So since you are presented with right triangles you will need to know at least two sides to determine the third. The formula used for right triangles is...
a² + b² = c²
Now a and b are the "legs" of the triangle meaning the two sides that come together to make a 90° angle. The c in the equation would be the hypotenuse of the triangle, otherwise the longest side or in this case the diagonal part. Now to find that distance you will have to plug in and solve...
100² + 230² = c²
10000 + 52900 = c²
62900 = c²
about 250.8 meters
Hope this Helped!
~A
Answer:
(4, 13/5)
Step-by-step explanation:
Aquí, estamos encontrando el punto que divide el segmento en 1/4
supongamos que tenemos la proporción 1: 4 como a: b
Matemáticamente, el punto que divide el segmento será;
Coordenada x = (bx1 + ax2) / (a + b)
donde (x1, x2) = (3,8)
Al conectar estos valores, tenemos; (4 (3) + 1 (8) / (1+ 4) = (12 + 8) / 5 = 20/5 = 4
Coordenada y = (by1 + ay2) / (a + b) donde (y1, y2) = (1,9)
Conectando estos valores que tenemos; (4 (1) + 1 (9)) / (1 + 4) = (4 + 9) / 5 = 13/5
Por lo tanto, las coordenadas del punto es (4,13 / 5)
