Response:
The result is $43623.50
Detailed explanation:
This query involves compound interest.
The formula for calculating compound interest is
A=P(1+r)^t
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Provided information
P= $2,500
r= 10/100= 0.1
t= 30 years
Inserting values into the compound interest formula and calculating A gives us
A=2500(1+0.1)^30
A=2500(1.1)^30
A=2500*17.449
A=$43623.50
The total amount is $43623.50
The balance in her account comes from Jenna’s (A annuity payments)
The likelihood of selecting one girl is calculated as 
. This is based on having 5 girls within a total of 12 students, and the probability of an event can be expressed as: 
.
Using the same reasoning, for the next student, we have reduced the number of students by 1, leading to 11 possible outcomes instead of 12, giving us:
, which represents the probability of selecting a boy as the second choice.
Lastly, the probability of choosing a girl for the third selection follows the same logic and is given as:
.
However, we must combine these individual probabilities to determine the likelihood of this specific sequence of selections occurring:
This simplifies to:
Answer:
Area of land = 0.056 hectares
Detailed explanation: Knowing that
A typical person in the country requires 2,450 kilocalories each day. This means
An individual consumes 2450 kilocalories daily
The average kcal produced per hectare (ha) from the available food in the nation is 15,737,000 kcal/ha.
Thus, in one day, for one individual, we have
15737000 = 2450/hec
Hectare = 2450/15737000
Hectare = 1.5568 × 10 -4
The total land area required to provide sufficient kilocalories for a single person for one year in this developing country will be
Calculated hectare × 365.25
Hectare = 1.5568 × 10 -4 × 365.25
Area of land = 0.056 hectares
Answer:
5.25ft below the waterline
Step-by-step explanation:
1. I entered the given equation into a graphing calculator (I use Desmos) and substituted "t" with "x" since it’s easier that way.
2. A graph appeared. To find the initial position of the paddle, I checked where it was at t=0, which is the y-intercept. It shows it’s at -5.25, indicating it sits 5.25 below the surface of the water.
To determine the total number of pennies Ella possesses, multiply the number of stacks by the amount in each stack: 50 stacks times 10 pennies each equals 500 pennies.
