I believe the second one right, because if I remember two opposite angles of an outside angle = the outside angle.
It will be c- 20:
4q and 2(q+30) have to equal the same therefore q=30 which makes both these equations equal.
3p + 4q then have to equal 180 as they are on a straight line so you know q=30 so 4x30=120 so 180-120=60
Then 60/3=20 and that is your answer.
Hope this helps :)
First factor 175:
1, 5, 5, 7
Now that we know the factors of 175, combine common factors:
1, 5², 7
Hope this helps!
Responder:
y = 200x + 2000
Explicación paso a paso:
Deje que la ecuación lineal se exprese como y = mx + c
m es la pendiente
c es la intersección
Si la empresa produce $ 10 unidades, sus costos totales son $ 4000 dólares y si produce $ 15 unidades sus costos ascienden a $ 5000 dólares, entonces podemos representar esto como puntos de coordenadas;
(10,4000) y (15,5000)
Conseguir la pendiente
m = 5000-4000 / 15-10
m = 1000/5
m = 200
Obtener la intersección c
Sustituya m = 2000 y el punto (10, 4000) en la fórmula y = MX + c
4000 = 200 (10) + c
4000-2000 = c
c = 2000
Sustituya m = 200 y c = 2000 en la ecuación y = mx + c
y = 200x + 2000
Por tanto, la expresión lineal requerida es y = 200x + 2000
The capital formation of the investment function over a given period is the
accumulated capital for the period.
- (a) The capital formation from the end of the second year to the end of the fifth year is approximately <u>298.87</u>.
- (b) The number of years before the capital stock exceeds $100,000 is approximately <u>46.15 years</u>.
Reasons:
(a) The given investment function is presented as follows;
(a) The capital formation is given as follows;
From the end of the second year to the end of the fifth year, we have;
The end of the second year can be taken as the beginning of the third year.
Therefore, for the three years; Year 3, year 4, and year 5, we have;
The capital formation from the end of the second year to the end of the fifth year, C ≈ 298.87
(b) When the capital stock exceeds $100,000, we have;
Which gives;
The number of years before the capital stock exceeds $100,000 ≈ <u>46.15 years</u>.
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