Answer:
time is 6.76 years
Step-by-step explanation:
given data
amount = $150
payment = $100
rate r = 6% = 0.06
to find out
time period t
solution
we know it is compounding continuous
so we will apply here formula that is
amount = payment × ..........1
put here all value we get
amount = payment ×
150 = 100 ×
take ln both side
ln 1.5 =
0.40546 = 0.06t
t = 0.40546 / 0.06
t = 6.76
so time is 6.76 years
Step-by-step explanation:
HI THIS IS THE ANSWER BRAINLIEST ME PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE
Answer:
Step-by-step explanation:
You want the distance traveled and the displacement after walking 17 m south and 13 m east.
<h3>Distance</h3>The distance traveled is the sum of the lengths of each leg of the trip:
17 m + 13 m = 30 m
You have traveled a distance of 30 m.
<h3>Displacement</h3>The displacement is the distance from your final position to your starting position. If you draw a diagram of the journey, you see the displacement is the hypotenuse of a right triangle with legs 17 m and 13 m. The Pythagorean theorem can help you find this length:
h = √(a² +b²)
h = √(17² +13²) = √(289 +169) = √458 ≈ 21.401
At the end of your walking, you are 21.4 m from where you started.
Answer:
Angle 2=160
Angle 3=10
Step-by-step explanation:
The rhombus is made up of two isoceles triangle.
Angle 1 measures 160.
Since the triangle is a isoceles triangle, the opposite angles of the congruent sides is equal angles to each other.
So the reamaing angles in the top triangle are equal so we can use this equation
Remeber that triangle maximum degree it can hold is 180
We have two congruent triangle side they share Three sides. SSS
This means the corresponding angle of Angle 1 is Angle 2.
Angle 2=Angle 1 by CPCTC.
Angle 2=160
Angle 3 corresponds with one of the remaining congruent angles so it measures
10.