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2 years ago

Solve 2^16x=16^2x for x

1 answer:

7 0

2^(16x)=16^(2x)

16=2⁴

2^(16x)=(2⁴)^(2x)
2^(16x)=2^(4*2x)
2^(16x)=2^(8x)

Therefore:
if a^n=a^m ⇒n=m

16x=8x
16x-8x=0
8x=0
x=0/8=0

Answer: x=0

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In Exercise,find the balance in the account after 10 years.

djverab [1.8K]

Answer: The balance in the account after 10 years is $3374.65

Step-by-step explanation:

The exponential equation for growth [ compounded continuously] is

$y=pe^{rt}$

, where P= Present value

r= growth rate ( in decimal)

t= time (years)

By considering the given information , we have

p=$2500 r = % =0.03 and t= 10

Substitute all the values in the above equation , we get

$y=2500e^{0.03(10)}$

$y=2500e^{0.3}$

$y=2500(1.3498588)=3374.64701894\approx3374.65$ [Round to the nearest cent]

Therefore, the balance in the account after 10 years is $3374.65

3 0

2 years ago

A computer company's stock costs $122 at the start of the day. At the end of the day it costs $93. By what amount did the stock'

Helga [31]

Answer:

the amount the stock changed over the day = $29

Step-by-step explanation:

The stock cost $122 at the start of the day . At the end of the day it cost $93. The amount the stock value changed can be calculated below.

The initial amount of the stock that days was $122 but at the end of the day it changes to $93. This means the stock cost decreases over the day.

Initial cost of stock at the day = $122

Final cost at the end of the day = $93

the amount the stock changes over the day = initial cost of stock at the day - final cost at the end of the day.

the amount the stock changes over the day = 122 - 93

the amount the stock changed over the day = $29

Generally, the stock decreased over the day.

7 0

3 years ago

Lilith and her friend shared a pizza. Lilith ate two sixths of the pizza and her friend ate three sixths. How much pizza did the

Tcecarenko [31]

Step-by-step explanation:

$\frac{2}{6} + \frac{3}{6 } =$

2+ 3

_____________ =

____5___

6 0

1 year ago

What is the value of x to the nearest tenth?

konstantin123 [22]

Answer:

I'm not 100% sure on this but I think it would be C- 8.1

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

What is the slope of a line that passes through the points (-3, 2) and (-6, 5)

oksano4ka [1.4K]

Answer:

3/2

Step-by-step explanation:

Y2-Y1

_____

X2-X1

= 5-2

____

-6-(-3)

=3/2

3 0

2 years ago

Read 2 more answers