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3 years ago

Which expression is equivalent to 2(5)^4

Mathematics

1 answer:

Jobisdone [24]3 years ago

7 0

Answer:

2·5·5·5·5

Step-by-step explanation:

2(5)^4 is equivalent to 2·5·5·5·5; 2 is used as a multiplicand just once, but 5 is used four times.

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The 1997 a value of an object was $5000. In 2012, it was worth $9500. The annual percent growth has been constant. What is the a

Daniel [21]

<h3>Annual percent growth is 4.37 %</h3>

Solution:

The increasing function is given as:

$y = a(1+r)^t$

Where,

y is future value

a is initial value

r is growth rate

t is number of years

From given,

a = 5000

y = 9500

t = 1997 to 2012 = 15 years

r = ?

Substituting the values we get,

$9500 = 5000(1+r)^{15}\\\\(1+r)^{15} = 1.9\\\\Take\ \frac{1}{15}th\ power\ on\ both\ sides\\\\1+r = (1.9)^{\frac{1}{15}}\\\\1+r = 1.04367\\\\r = 1.04367 - 1\\\\r = 0.04367\\\\In\ percentage,\\\\r = 0.04367 \times 100 \%\\\\r = 4.367 \% \approx 4.37 \%$

Thus annual percent growth is 4.37 %

8 0

3 years ago

Write a linear function f with f(−9)=10 and f(−1)=−2

pashok25 [27]

First we need to find the slope of the function

The slope of a function is equal to

$\frac{f(x_2)-f(x_1)}{x_2-x_1}$

So now we plug this into the equation and find the slope (M will represent the slope)

$m=\frac{10--2}{-9--1}\\m=\frac{12}{-8}\\m=-\frac{3}{2}$

So the slope is -3/2

Now we can use point-slope form.

Point slope form is represented by

$Y-Y_1=m(X-X_1)$

So when we plug in our values we get

$Y--2=-3/2(X--1)\\Y+2 = -3/2(X+1)\\Y+2 = -3/2X-3/2\\Y=-3/2X-7/2$

So the equation is

Y = -3/2X-7/2

6 0

2 years ago

PLSSSS HELP QUICK plssssss

Nikitich [7]

Answer:

Answer C: 8

Step-by-step explanation:

6 0

2 years ago

Find square root of 11+2 root 10

EastWind [94]

Answer:

11+²√10 question

Step-by-step explanation:

11+2 √10x√10÷√10

11+2x10÷√10

31÷√10 is ur answer sir pls mark brainliest

3 0

2 years ago

A rental car company charges a basic fee plus a price per mile. One customer drove 250 and paid 56.50, while another customer dr

Hatshy [7]

Answer:

y = 0.15x+19 and

67.75

Step-by-step explanation:

Let us assume y for total cost and x no of miles.

Then x and y are related by a straight line.

Two points lying on the line are

(250,56.50) and (400,79)

Use two point formula

y-56.50/(79-56.50) = x-250/(400-250)

y-56.50 = 22.5(x-250)/150

y = 22.5x/150 -37.50+56.50

Or y = 0.15x+19

To find out cost for 325 miles:

x=325

y= 0.15(325)+19

= 48.75+19

=67.75

8 0

2 years ago