Answer: The future value of the investment after 2 years is $807.8
Step-by-step explanation:
The formula for simple interest is expressed as
I = PRT/100
Where
P represents the principal or amount invested.
R represents interest rate
T represents time in years
I = interest after t years
From the information given
T = 2 years
P = $700
R = 7.7%
Therefore
I = (700 × 7.7 × 2)/100
I = 10780/100
I = 107.8
The total amount in the account after 2 years would be
700 + 107.8 = $807.8
Answer:
D. She used the beach's ball's diameter when she should have used the radius
Step-by-step explanation:
To find the volume of the beach ball, using the volume of a sphere is the right formula to use, which is ⁴/3πr³.
The formula she used is correct.
Since the diameter of the ball is assumed to be 12 inches, what is needed to find the volume is the radius.
Radius (r) = ½(diameter) = ½(12) = 6 in.
This is where Emily made a mistake.
She used the diameter of the beach ball instead of its radius (r) which is needed in the equation.
She should have gotten,
V = ⁴/3(3.14)(6)² = 904.32 cubic inches
Answer:
original weight of the box = 15 / 16 pounds
Explanation:
Assume that the original amount in the box is x.
We are given that:
5/8 pounds represent 2/3 of the total amount (x).
This can be translated into the following equation:
(2/3) x = 5 / 8
Now, we will solve for x as follows:
(2/3) x = 5 / 8
Multiply both sides by 24 to get rid of the denominators as follows:
(2/3) x * 24 = (5 / 8) * 24
16 x = 15
Divide both sides by 16 to isolate the x as follows:
x = 15 / 16 pounds
Hope this helps :)
#2 is answer 4, #3 is answer 3, #4 is answer 4. The answer to #5 is 6xy if it is a possibility.