Answer: A
Compound interest simply defined as the interest added at regular interval. Compound interested can be calculated using
Compound interest = P (1+) ^nt and Pe ^rt
P = Initial balance
r = Annual interest rate
n = Number of times the interest is compounded per year
t =Number of year money is invested
Using
Compound interest = P (1+ ) ^nt
Continuous
P= $ 8000
t = 6
r = 6.25%
=
= 0.0625
n = 1
Compound interest = 8000 (1+) ^1×6
= 8000 (1 + 0.0625) ^6
= 8000 (1.0625) ^ 6
= 8000× 1.4387
= $11,509.6
Semi- annually
P= $ 8000
t = 6
r = 6.3%
=
= 0.063
n = 2
Compound interest = 8000 (1+) ^2×6
= 8000 (1 + 0.063) ^12
= 8000 (1.063) ^12
= 8000× 1.4509
= $11,607.0
Investing $ 8000 semi-annually at 6.3% for 6 years yields greater return
Therefore the answer is (A)
Answer:
15.87%
Step-by-step explanation:
First thing here is that we calculate the z-score which corresponds to 76
mathematically;
z-score = (x-mean)/SD
mean = 71 and SD = 5
plugging these values, we have;
z = (76-71)/5 = 5/5 = 1
Now, we want to firstly get the probability that we have a student shorter than 76 inches
The probability we want to calculate is P(z<1)
we can get this using the z-score table directly
That would be 0.15866
In percentage that is 15.866% which is 15.87% to the nearest tenth
So for one 3.25x5= 16.25 then 16.25x2 = 32.50. So 40 dollars will be enough
Answer:
The density of oak is <u>0.695</u> grams per cubic centimeter.
Step-by-step explanation:
Given:
Oakwood has a mass of 2.85 kilograms and a volume of 4100 cubic centimeters.
Now, to find the density of oak in grams per cubic centimeter.
Mass (m) = 2.85 kilograms.
So, using conversion factor we convert into grams:
Volume (v) = 4100 cubic centimeters.
Now, to get the density by using formula:
Therefore, the density of oak is 0.695 in grams per cubic centimeter.
Answer:
Step-by-step explanation:
Formula for slope
As the Line AB contains points A (8, −4) and B (1, −5).
Put points value in the above
