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sladkih [1.3K]
3 years ago
5

A company estimates expenditures of $1.1 million in the first year, $1.4 million in the second year, $1.7 million in the third y

ear, and so on. Assuming this trend continues, what is the expected expenditure for the nth year?
Mathematics
2 answers:
frosja888 [35]3 years ago
6 0
$2 million dollars in the 4th year
TiliK225 [7]3 years ago
5 0
3.5 million; theirs a pattern of 3
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if 1 gallon is equivelent to 16 cups and addibg 1 cup of vinegar makes solution. what is the ratio fraction
dolphi86 [110]

Answer:1 and 1/16

Step-by-step explanation:

7 0
3 years ago
(4 pts) If a rock is thrown vertically upward from the surface of Mars with an initial velocity of 15m/sec
Yuliya22 [10]

Answer:

Step-by-step explanation:

I see you're in college math, so we'll solve this with calculus, since it's the easiest way anyway.

The position equation is

s(t)=-1.86t^2+15t  That equation will give us the height of the rock at ANY TIME during its travels. I could find the height at 2 seconds by plugging in a 2 for t; I could find the height at 12 seconds by plugging in a 12 for t, etc.

The first derivative of position is velocity:

v(t) = -3.72t + 15 and you stated that the rock will be at its max height when the velocity is 0, so we plug in a 0 for v(t):

0 = -3.72t + 15 and solve for t:\

-15 = -3.72t so

t = 4.03 seconds. This is how long it takes to get to its max height. Knowing that, we can plug 4.03 seconds into the position equation to find the height at 4.03 seconds:

s(4.03) = -1.86(4.03)² + 15(4.03) so

s(4.03) = 30.2 meters.

Calculus is amazing. Much easier than most methods to solve problems like this.

7 0
2 years ago
Taven mixes 18 liters of 14% acid solution with a 35% acid solution, which results in 23% acid solution.
miv72 [106K]
(0.35x + 0.14 * 18) / y = 0.23
x + 18 = y
4 0
3 years ago
Verify the identity
Igoryamba

Answer:

We have to prove

sin⁡(α+β)-sin⁡(α-β)=2 cos⁡ α sin ⁡β

We will take the left hand side to prove it equal to right hand side

So,

=sin⁡(α+β)-sin⁡(α-β)      Eqn 1

We will use the following identities:

sin⁡(α+β)=sin⁡ α cos⁡ β+cos⁡ α sin⁡ β

and

sin⁡(α-β)=sin⁡ α cos ⁡β-cos ⁡α sin ⁡β

Putting the identities in eqn 1

=sin⁡(α+β)-sin⁡(α-β)

=[ sin⁡ α cos ⁡β+cos⁡ α sin⁡ β ]-[sin⁡ α cos ⁡β-cos ⁡α sin ⁡β ]

=sin⁡ α cos⁡ β+cos⁡ α sin ⁡β- sin⁡α cos⁡ β+cos ⁡α sin ⁡β

sin⁡α cos⁡β will be cancelled.

=cos⁡ α sin ⁡β+ cos ⁡α sin ⁡β

=2 cos⁡ α sin ⁡β  

Hence,

sin⁡(α+β)-sin⁡(α-β)=2 cos ⁡α sin ⁡β

8 0
3 years ago
What do you find at the intersection of a plane and line?
Viktor [21]

You find a point at the intersection of a plane and line.

6 0
3 years ago
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