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Setler [38]
3 years ago
7

Suppose the function y = 30,000(1.06)x models the annual profit for a small business x years after 2000. Find the profit at the

end of 2011.
Mathematics
1 answer:
goldfiish [28.3K]3 years ago
4 0
From 2000 to 2011, there are 11 years. From the given function, we can calculate the profit for a small business at the end of 2011 by substituting 11 to the x of the given equation. 
                                         y = (30,000)(1.06)(11)
                                         y = 349,800
Thus, the profit at the end of 2011 is approximately $349,800. 
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The value of four and 34,000 is in the 4 times the value of The value of four and is times the value of 447,163
tatuchka [14]
447,163 / 34,000 = 13.151
13.151 • 34,000 = 447,163
Your answer is going to be 13.151
3 0
2 years ago
1.The population of the world is approximately 6200 million people. It is increasing by approximately 93 million people each yea
STALIN [3.7K]
The fraction can simplify down to \frac{93}{6200} convert it to a fraction and the yearly increase is 1.5%

2. Well on average there are 365 days in a year. Dividing 93 million by 365 will get your increase per day. 
There are 24 hours in a day, so that figure is further divided by 24.
There are also 60 minutes in an hour therefore furthermore divided by 60.
= 176 therefore true
8 0
3 years ago
Find the distance from A(15,21) to the line 5x +2y=4. Round your answer to the nearest tenth
butalik [34]

Answer:The distance from a point to a line is

distance(ax+by+c=0,(x0,y0)) = abs(ax0+by0+c)/sqrt(a^2+b^2)

So first convert the formula for the line to standard form

5x+2y=4

5x+2y-4=0

a=5, b=2, c=-4, x0=15, y0=-21

Step-by-step explanation:

5 0
3 years ago
Triangle $ABC$ has a right angle at $B$. Legs $\overline{AB}$ and $\overline{CB}$ are extended past point $B$ to points $D$ and
Lisa [10]

Answer:

Given :

ABC is a right triangle in which ∠ABC = 90°,

Also, Legs AB and CB are extended past point B to points D and E,

Such that,

\angle EAC = \angle ACD = 90^{\circ}

To prove :

EB\times BD=AB\times BC

Proof :

In triangles AEC and EBA,

∠EAC= ∠ABE ( right angles )

∠CEA = ∠AEB ( common angles )

By AA similarity postulate,

\triangle AEC \sim \triangle EBA,

Similarly,

\triangle AEC \sim \triangle ABC

\implies\triangle EBA\sim \triangle ABC-----(1)

Now, In triangles ADC and CBD,

∠ACD = ∠CBD ( right angles )

∠ADC= ∠BDC ( common angles )

By AA similarity postulate,

\triangle ADC \sim \triangle CBD,

Similarly,

\triangle ADC \sim \triangle ABC

\implies \triangle CBD\sim \triangle ABC-----(2)

From equations (1) and (2),

\triangle EBA\sim \triangle CBD

The corresponding sides of similar triangles are in same proportion,

\frac{EB}{BC}=\frac{AB}{BD}

\implies EB\times BD=AB\times BC

Hence, proved....

5 0
3 years ago
If theperimeter of the triangle ABC is 23, find the length of each side.
aalyn [17]
You can't.
There isn't enough evidence/proof to prove the length of each side.<span />
6 0
3 years ago
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