Carmen deposits $400 into an account that plays simple interest at a rate of 5% per year. Amount in the account after 5 years:
$400 times (1.05)^5
=$510.51
The interest she will be paid in the first years = $110.51
Answer:
Im guessing its B. Im sorry of this didnt help.
Step-by-step explanation:
Answer:
51 milligrams
Step-by-step explanation:
Exponential growth or decay can be modeled by the equation ...
y = a·b^(x/c)
where 'a' is the initial value, 'b' is the "growth factor", and 'c' is the time period over which that growth factor applies. The time period units for 'c' and x need to be the same.
In this problem, we're told the initial value is a = 190 mg, and the value decays to 95 mg in 19 hours. This tells us the "growth factor" is ...
b = 95/190 = 1/2
c = 19 hours
Then, for x in hours the remaining amount can be modeled by ...
y = 190·(1/2)^(x/19)
__
After 36 hours, we have x=36, so the remaining amount is ...
y = 190·(1/2)^(36/19) ≈ 51.095 . . . . milligrams
About 51 mg will remain after 36 hours.
is the same thing as
. We can rewrite this as
. Or course this is not simplified, so we can simplify to get
.
Answer:
- a = 65°
- b = 25°
- c = 25°
- d = 75°
Step-by-step explanation:
The sum of angles that make up a linear angle is 180°, so we have ...
60 + a + 55 = 180
a = 65 . . . . . . . . . . . . . . subtract 115
The acute angles in a right triangle are complementary, so we have ...
b = 90 -65 = 25
Vertical angles are congruent, so ...
c = b = 25
___
Angle d is the complement of the one marked 15, so its measure is ...
d = 90 -15 = 75
The angle measures are ...
a = 65°
b = 25°
c = 25°
d = 75°
