Answer:
5,477.63
Step-by-step explanation:
First, convert R percent to r a decimal
r = R/100
r = 6%/100
r = 0.06 per year,
Then, solve our equation for P
P = A / (1 + r/n)nt
P = 5,500.00 / (1 + 0.06/4)(4)(0.068448)
P = 5,500.00 / (1 + 0.015)(0.273792)
P = $ 5,477.63
Summary:
The principal investment required to get
a total amount of $ 5,500.00
from compound interest at a rate of 6% per year
compounded 4 times per year
over 0.068448 years
is $ 5,477.63.
** i got this from calculator soup
Answer:
EF=BC (by CPCT) if both Triangle are ~
Answer:
4594.76 USD will be in the account on Burt's 18th birthday.
Step-by-step explanation:
Since interest rate is constant in time, we can use the definition of composite interest to determine how much money will be on Burt's 18th birthday, that is:
(1)
Where:
- Initial amount, measured in US dollars.
- Current amount, measured in US dollars.
- Annual interest rate, measured in percentage.
- Time, measured in years.
If we know that 
, 
and 
, then the money in the savings account on Burt's 18th birthday is:
4594.76 USD will be in the account on Burt's 18th birthday.
Through (2, 5); perpendicular to y = (-2/7)x - 3
first, you should know that the slopes of parallel lines are the same. the slopes of perpendicular lines are opposite reciprocals of one another. in this case, because you need to find a perpendicular line, you'll want to find the opposite reciprocal of (-2/7)
change the sign and flip the fraction: your new slope is 7/2
from there, you just plug it into point-slope form:
y - y1 = m(x - x1)
y - 5 = (7/2)(x - 2)
then you can solve it further to bring it into slope-intercept (y = mx + b):
y - 5 = (7/2)(x - 2)
y - 5 = (7/2)x - 7
y = (7/2)x - 2 is your answer.
Answer:
V = 317 1/3 cubic units
Step-by-step explanation:
V = 1/3 · Area of Base · Height
V = 1/3 · 1/2(14 x 8) · 17
V = 1/3 · 56 · 17
V = 317 1/3
