All categories

2 years ago

If t = 0 in 1980, find the value for t in 1990

Mathematics

1 answer:

lora16 [44]2 years ago

4 0

The value of t is 6.65

<h3>What is exponential function?</h3>

An exponential function is a mathematical function of the following form: f ( x ) = a^x. where x is a variable, and a is a constant called the base of the function.

Given:

A= 210 million

P= A e^(kt)

225 = 210 * e ^ (0.0069t)

225/210= e ^ (0.0069t)

1.07 = e ^ (0.0069t)

Taking log on both side

log 1.047 = 0.0069 t log e

$\frac{0.0069t\ln \left(e\right)}{0.0069\ln \left(e\right)}=\frac{\ln \left(1.047\right)}{0.0069\ln \left(e\right)}$

t= log ( 1.047) / 0.0069

t= 6.65

Hence, value of t is 6.65.

Learn more about this exponential function here:

brainly.com/question/12889747

#SPJ1

You might be interested in

Jamal earns earns a year-end bonus of $32500 and puts it in 3 one-year investments that that pay $1579.50 in simple interest. Pa

DedPeter [7]

Answer:

Fjjfhfuf

Step-by-step explanation:

Ffifuuf

6 0

3 years ago

Manuel climbs a tower from ground level to an elevation of 135 1/2 ft he climbs down 27 1/2 ft how far is Manuel from the ground

Helen [10]

Answer: 108 feet

Step-by-step explanation: (135.5-27.5) = 108 feet

4 0

3 years ago

Read 2 more answers

Three cube-shaped boxes are stacked one above the other. The volumes of two of the boxes are 1,331 cubic meters each, and the vo

blsea [12.9K]

The volume of a box with dimensions x by x by x is $x^{3}$ .

So if we are given the volume V of a cube-shaped box, the side length of thit is $\sqrt[3]{V}$ .

So we calculate the cubic roots of the volumes we have, and we add their heights.

To calculate the cubic root of 729, we can factorize it, and group the perfect cubes together, as follows:

$\frac{729}{3}= \frac{600}{3} + \frac{120}{3} + \frac{9}{3}=200+40+3=243$

$\frac{243}{3}= \frac{240}{3}+ \frac{3}{3}=80+1=81$ , which we recognize as $3^{4}$

so $729=3*3* 3^{4}= 3^{6}= ( 3^{2} )^{3}= 9^{3}$

similarly 1,331 can be found to be $11^{3}$ .

Thus we have 2 boxes with side length equal to 11 m and one with side length equal to 9 m.

Answer: h= 11+11+9 = 31 (meters)

7 0

3 years ago

Read 2 more answers

The end points of a diameter of a circle are (6,2) and (-4,7).

motikmotik

Answer:

Step-by-step explanation:

The standard form equation of a circle with radius r is expressed as

( x − h )^2 + ( y − k )^2 =r ^2 ,

where r represents the radius

h and k are the coordinates of the center of the circle C( h , k )

To determine the coordinates at the center of the circle, the midpoint formula would be used. It is expressed as

[(x1 + x2)/2 , (y1 + y2)/2]

Midpoint of the circle =

(6 - 4)/2 , (2 + 7)/2 = (1, 4.5)

h coordinate of the center = 1

k coordinate of the center = 4.5

r^2 = (x - h)^2 + (2 - k)^2

r^2 = (6 - 1)^2 + (2 - 4.5)^2

r^2 = 5^2 + (- 2.5)^2 = 25 + 6.25

r^2 = 31.25

Substituting r^2 = 31.25, h = 1 and k = 4.5 into (x − h )^2 + ( y − k )^2 = r^2, the standard equation of the circle becomes

(x − 1 )^2 + ( y − 4.5 )^2 = 31.25

3 0

3 years ago

9x -2 > 5 < 3x<br><br> Find the third side?

Ksju [112]

The length of the third side is a-2. :))

5 0

2 years ago