Sales of 10000 increased by 65% each year write a function that represents the situation

Mathematics

1 answer:

erastovalidia [21]2 years ago

6 0

Answer: $y=10000(1.65)^x$

Step-by-step explanation:

Given: The sales of 10000 increased by 65% each year .

Let x be the number of years.

The rate of growth=65%= 0.65

The exponential growth function is given by

$y=A(1+r)^x$

, where A is initial amount and r is the rate of growth in decimal.

Then the increase in the sales id given by :-

$y=10000(1+0.65)^x\\\Rightarrow\ y=10000(1.65)^x$

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How much principle, to the nearest dollar, should you invest at 4 percent in order to have $3000 for a vacation to Europe in 3 y

KiRa [710]

Answer:

Principle should be $2,667

Step-by-step explanation:

We need $3000 for a vacation to Europe in 3 years.

Using amount formula,

$A=P(1+r)^t$

Where, P is principle (P=?)

A is amount (A=3000)

r is rate of interest (r=0.04)

t is time (t=3)

Substitute the values into formula and solve for P

$3000=P(1+0.04)^3$

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$P=\frac{3000}{1.04^3}$

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Hence, Principle should be $2,667

4 0

3 years ago

Anonymous 3 years ago

amm1812

Two angles are said to be complementary, if the sum of the measures of the to angles is equal to 90 degrees.

Thus, given that HFG is complementary to ACB, them mHFG + mACB = 90 degrees.

From the figure, given that the line from point F meats line CE at point P, then HFG = CFP.
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Also PFE = DFH

Thus, mCFE = mCFP + mPFE = mHFG + mDFH = 90 degrees

Recall that mHFG + mACB = 90 degrees

Thus, mHFG + mACB = mHFG + mDFH

Therefore, mACB = mDFH.

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3 years ago

1-tanA÷1+tanA=1-sin2A÷cos2A

Aleksandr-060686 [28]

hope u get it. I've used RHS to prove LHS