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krek1111 [17]
4 years ago
13

Mr. MD is losing 20% of his hair each year. If he currently has 1,546 hairs on his head, about how many hairs will he have left

in ten years?:::: Write a function- What is the initial amount? What is the decay rate? What is the final function? Thank you!
Mathematics
1 answer:
professor190 [17]4 years ago
6 0

Answer: 166 hairs

Step-by-step explanation:

Initially he had 1546 hairs. Loses 20% each year. So after 10 years, he will have

= 1546 x 0.80^10

= 1546 x .107374

= 166 hairs

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2x^5 + 4x^4 – x^3 - x^2 + 7 is divided by 2x^2 - 1.
mixer [17]

Answer: 11

Step-by-step explanation: 2x^5 + 4x^4 – x^3 - x^2 + 7= 11

2x^2 - 1= 1

2x^5 + 4x^4 – x^3 - x^2 + 7 is divided by 2x^2 - 1.=11

4 0
4 years ago
T what point does the curve have maximum curvature? Y = 7ex (x, y) = what happens to the curvature as x → ∞? Κ(x) approaches as
Nookie1986 [14]

Formula for curvature for a well behaved curve y=f(x) is


K(x)= \frac{|{y}''|}{[1+{y}'^2]^\frac{3}{2}}


The given curve is y=7e^{x}


{y}''=7e^{x}\\ {y}'=7e^{x}


k(x)=\frac{7e^{x}}{[{1+(7e^{x})^2}]^\frac{3}{2}}


{k(x)}'=\frac{7(e^x)(1+49e^{2x})(49e^{2x}-\frac{1}{2})}{[1+49e^{2x}]^{3}}

For Maxima or Minima

{k(x)}'=0

7(e^x)(1+49e^{2x})(98e^{2x}-1)=0

→e^{x}=0∨ 1+49e^{2x}=0∨98e^{2x}-1=0

e^{x}=0  ,  ∧ 1+49e^{2x}=0   [not possible ∵there exists no value of x satisfying these equation]

→98e^{2x}-1=0

Solving this we get

x= -\frac{1}{2}\ln{98}

As you will evaluate {k(x})}''<0 at x=-\frac{1}{2}\ln98

So this is the point of Maxima. we get y=7×1/√98=1/√2

(x,y)=[-\frac{1}{2}\ln98,1/√2]

k(x)=\lim_{x\to\infty } \frac{7e^{x}}{[{1+(7e^{x})^2}]^\frac{3}{2}}

k(x)=\frac{7}{\infty}

k(x)=0







5 0
3 years ago
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beks73 [17]
The expression is Undefined for x=0, assuming you intend 1/(-8x).

x=0 is "nonpermissible"
4 0
3 years ago
Suppose we want to choose 7 objects, without replacement, from 10 distinct objects.
Citrus2011 [14]

Answer:

= 604800

Step-by-step explanation:

10 permute 7

the order matters

10 x 9 x8 x7 x6 x5 x4

hope this helps

7 0
2 years ago
111 is 25\%25%25, percent of what number?
vodka [1.7K]

Answer:

444

Step-by-step explanation:

111x4=444

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