Exact form would be 3/2, -1/2
Answer:
The correct answer is option d. 179.503 cub in
Step-by-step explanation:
Formula:
Volume of Sphere = (4/3)πr³
r - radius of sphere
To find the volume of sphere
From the figure we get,
diameter d = 7 in
radius r = d/2 = 7/2 = 3.5 in
Volume = (4/3)πr³ = (4/3) * 3.14 * (3.5)³ = 179.503 cub in
Therefore,the correct answer is option d. 179.503 cub in
A polygon that has 4 sides and two sets of parallel sides is a parallelogram. In a parallelogram, each set of opposite sides is congruent, but all four sides do not have to be congruent.
It’s just B and D I did this and got it right
Answer: She started with $160.
It will take 6 weeks before she has less than half of what she originally invested.
Step-by-step explanation:
If her money is decreasing in value by 11% each week, it means that the rate at which it is decreasing is exponential.
We would apply the formula for exponential decay which is expressed as
A = P(1 - r)^t
Where
A represents the value of the investment after t weeks.
t represents the number of weeks.
P represents the initial value of the investment.
r represents rate of depreciation.
From the information given,
A = $142.40
r = 11% = 11/100 = 0.11
t = 1
Therefore
142.40 = P(1 - 0.11)^1
142.40 = P(0.89)
P = 142.4/0.89
P = 160
For her to have half of what she invested originally, then
80 = 160(0.89)^t
80/160 = (0.89)^t
0.5 = (0.89)^t
Taking log of both sides to base 10
Log 0.5 = log0.89^t = tlog0.89
- 0.3010 = - 0.051t
t = - 0.3010/- 0.051
t = 5.9
Approximately 6 weeks