Answer:
The formula to determine the distance Jane's trainer bikes is 
.
Detailed explanation:
A diagram has been included for clarity.
Known values:
Distance biked to the south = 16 miles
Distance ran west = 12 miles
We need to determine the distance covered by Jane's trainer.
Solution:
Let the biking distance be represented by 'x'.
We will assume it forms a right-angled triangle.
According to the Pythagorean theorem, it states that;
"The square of the hypotenuse is equal to the sum of the squares of the other two sides."
When set in equation form, this gives us;
Thus, the equation representing the distance biked by Jane's trainer is .
Upon solving, we find;
Consequently, Jane's trainer covers a distance of 20 miles.
Solution:
There are 4 ways.
Detailed explanation:
Candice has a total of 15 + 9 = 24 candies. Since she has three younger brothers, and 24 can be divided by 3 (24/3 = 8). Both 15 and 9 can also be divided by 3 (15/3 = 5 and 9/3 = 3).
- She can distribute 5 tootsie rolls to each brother.
- She can provide 3 twizzlers to each brother.
- She can give each brother 5 tootsie rolls and 3 twizzlers (if she decides to share all her candies).
- She can give them one of each type of candy, leaving her with 12 tootsie rolls and 6 twizzlers (this would be the best option if she wants to keep some for herself).
I see four methods to accomplish this, and two methods remain after her mother instructs her to share at least one of each candy type with all three brothers.
Response:
To accumulate $7,500 in three years, the required one-time deposit is $4388.17
Step-by-step explanation:
Basic Financial Formulas
A commonly used formula for calculating present and future values is
Where FV represents the future value, PV denotes the present value, r signifies the interest rate, and n indicates the number of compounding periods. It’s essential to remember that r and n must correspond to the same compounding duration, e.g. r is compounded monthly while n is expressed in months.
The inquiry seeks to determine the PV necessary as a one-time deposit to achieve a future value of $7,500 in 3 years at an interest rate of 1.5% compounded monthly.
FV=7,500
r=1.5%=0.015
n=3*12=36 months
We have changed n to months since r is monthly compounded. The equation
must be arranged to isolate PV.
Response
: The amount necessary as a one-time deposit to accrue $7,500 in three years is $4388.17[[TAG_54]]
Answer:
7 years
Step-by-step explanation:
Suri is 17 years old.
Her cousin's age is c.
Suri's age is stated to be 4 less than 3 times her cousin’s age.
This means we take 3 times her cousin’s age and subtract 4.
17 = 3c - 4
We now need to solve for c, which represents her cousin's age.
Add 4 to each side:
17 + 4 = 3c - 4 + 4
17 + 4 = 3c
21 = 3c
Now divide both sides by 3:
21/3 = 3c/3
7 = c
Thus,
Her cousin is 7 years old.
The task requires calculating the coefficient of the squared term in the parabolic equation, and based on my calculations and analysis, I found that the vertex of the parabola can be expressed as y =a(x-h)^2+k, leading me to a simplification that results in x^2.
