Answer:O0
Step-by-step explanation:
2*(v-2)-(-3-2*v)=0
STEP
1
:
Equation at the end of step 1
(0 - 2 • (v - 2)) - (-2v - 3) = 0
STEP
2
:
Equation at the end of step 2
7 = 0
STEP
3
:
Equations which are never true:
3.1 Solve : 7 = 0
Complete question:
The growth of a city is described by the population function p(t) = P0e^kt where P0 is the initial population of the city, t is the time in years, and k is a constant. If the population of the city atis 19,000 and the population of the city atis 23,000, which is the nearest approximation to the population of the city at
Answer:
27,800
Step-by-step explanation:
We need to obtain the initial population(P0) and constant value (k)
Population function : p(t) = P0e^kt
At t = 0, population = 19,000
19,000 = P0e^(k*0)
19,000 = P0 * e^0
19000 = P0 * 1
19000 = P0
Hence, initial population = 19,000
At t = 3; population = 23,000
23,000 = 19000e^(k*3)
23000 = 19000 * e^3k
e^3k = 23000/ 19000
e^3k = 1.2105263
Take the ln
3k = ln(1.2105263)
k = 0.1910552 / 3
k = 0.0636850
At t = 6
p(t) = P0e^kt
p(6) = 19000 * e^(0.0636850 * 6)
P(6) = 19000 * e^0.3821104
P(6) = 19000 * 1.4653739
P(6) = 27842.104
27,800 ( nearest whole number)
Answer:
10 miles per hour.
Step-by-step explanation:
Let x represent athlete's walking speed.
We have been given that her jogging rate is 5 mph faster than her walking rate, so athlete's jogging speed would be
miles per hour.

10 minutes = 1/6 hour.
20 minutes = 1/3 hour
While walking, we will get 

While jogging, we will get 

Since athlete is covering same distance while walking and jogging, so we can equate both expressions as:

Cross multiply:




Therefore, athlete's walking speed is 5 miles per hour.
Jogging speed: 
Therefore, athlete's jogging speed is 10 miles per hour.
Answer:
<h2>
6 1/2 lbs</h2>
Step-by-step explanation:
Given the weight of granite to be 74 26/36 lbs,
Weight of quartz is 81 9/40 lbs.
To know how much more quartz weight than the granite, we will take the difference between the weight of quartz and granite as shown.
Weight of quartz - Weight of granite
= 81 9/40 - 74 26/36
= 3,249/40 - 2690/36
= (29, 241 - 26,900)/360
= 2,341/360
= 6 181/360
≈ 6 1/2 lbs
quartz weighs approximately 6 1/2 lbs much more than granite
Answer:
Lien earned $23,800
Husband earned $22,600
Step-by-step explanation:
$45,200 divide it by 2 = $22,600
then you add $1,200 to $22,600 and get $23,800