Answer: $44,518
Step-by-step explanation:
Using the formula:
PV = P( 
)
PV = present value
P = Principal
r = rate
n = number of periods
From the question :
PV = ?
P = $10,000
r = 0.04
n = 5
Substituting into the formula , we have
PV = 10,000 ( 
)
PV = 10,000 ( 
)
PV = 10,000 ( 
PV = 10,000 ( 4.451822331 )
PV = 44518.22331
Therefore :
PV≈ $ 44,518
21√$42.84 ≈ 21√42.84=137.449773
Hope this helps~!
Answer:
x=100
Step-by-step explanation:
x+23+57=180
x+80=180
x=100
Answer:
The volume of the cylinder is 62.8 cubic units.
Step-by-step explanation:
The volume of a cylinder is given by the following formula:
volume = (base area)*h
base area = pi*r²
volume = pi*r²*h
In order to solve this problem we need to apply the data given to the formula above as shown below:
volume = 3.14*(2)²*5 = 3.14*4*5
volume = 62.8 cubic units
The volume of the cylinder is 62.8 cubic units.
Answer:
59
29.33
Step-by-step explanation:
Recall SOH CAH TOA
SOH= Sinα=opposite/hypotonouse
CAH= cosα=adjacent/hypotonouse
TOA= tanα=opposite/adjacent
To find angle C we'll use TOA
which means we take the lenght opposite to d and adjacent to d
which means we have
tand=10/6
d=tan⁻1(10/6)
d=59
to find length z let's use SOH CAH TOA again (for the practice)
This time let's use angle z and SOH
which means we have
sin(64.5)=z/32.5
Solve for z
32.5sin(64.5)=z
z=29.33
*note* if you use a²+b² for number two you get a sligthly different answer. This is because when they rounded when they wrote 64.5**
