Answer:
d. May
Step-by-step explanation:
Working through the chain, we have ...
Feb = 1.10×Jan
Mar = 0.85×Feb = 0.935×Jan
Apr = 1.20×Mar = 1.122×Jan
May = 0.90×Apr = 1.0098×Jan
Jun = 1.05×May = 1.06029×Jan
The multiplier that is closest to 1 is 1.0098, so May has sales closest to January.
_____
The percentage increase or decrease can be converted to a multiplier by adding it to 1. If p% is the percentage change, then adding it to an original value looks like ...
original + p% × original = original × (1 +p%) . . . . . . . distributive property
And p% translates to a decimal number by replacing % with /100 or ×0.01.
10% increase: original × (1 + 10/100) = original × 1.10
15% decrease: original × (1 - 15/100) = original × 0.85
Answer:
864
Step-by-step explanation:
∵X-Y=5 and.
∵X+Y=59 add the two equations
∴2X=64
∴X=32 (substitute in any equation)
∴32 - Y=5
∴Y = 27
∴ So . X×Y=32 × 27=864
Answer:
y²/25+x²/4=1
Step-by-step explanation:
The equation for an ellipse is either categorized as
x²/c² + y²/d² = 1 . In such an equation, the vertices on the x axis are categorized by (±c,0) and the vertices on the y axis are (0, ±d)
In the ellipse shown, the vertices/endpoints on the x axis are (-2,0) and (2,0). This means that c is equal to 2. Similarly, on the y axis, the endpoints are (5,0) and (-5,0), so d=5.
Our equation is therefore x²/2²+y²/5²=1 = x²/4+y²/25=1
Our answer is therefore the fourth option, or
y²/25+x²/4=1
Answer:
5X + 8Y >= 300; intersection at (-20, 50)
Step-by-step explanation:
let t = work hours
0 < t < 30
X = time lawn mowing
Y = time babysitting.
X + Y < 30
5X + 8Y >= 300
We could solve...
X < 30 - Y
5(30 - Y) + 8Y >=300
150 - 5Y + 8Y >= 300
3Y >=150
Y >=50
then X < -20
intersection at (-20, 50)