Answer:
Perimeter of PQR = 37 units (Approx.)
Step-by-step explanation:
Using graph;
Coordinate of P = (-2 , -4)
Coordinate of Q = (16 , -4)
Coordinate of R = (7 , -7)
Find:
Perimeter of PQR
Computation:
Distance between two point = √(x1 - x2)² + (y1 - y2)²
Distance between PQ = √(-2 - 16)² + (-4 - 4)²
Distance between PQ = 18 unit
Distance between QR = √(16 - 7)² + (-4 + 7)²
Distance between QR = √81 + 9
Distance between QR = 9.48 unit (Approx.)
Distance between RP = √(7 + 2)² + (-7 + 4)²
Distance between RP = √81 + 9
Distance between RP = 9.48 unit (Approx.)
Perimeter of PQR = PQ + QR + RP
Perimeter of PQR = 18 + 9.48 + 9.48
Perimeter of PQR = 36.96
Perimeter of PQR = 37 units (Approx.)
We have been given that Nicolas has $6,500 to deposit into an account which earns 3.25% interest compounded annually. We are asked to find amount of interest earned at the end on 8 years.
We will use compound interest formula to solve our given problem.
, where,
A = Final amount,
P = Principal amount,
r = Annual interest rate in decimal form,
n = Number of times interest is compounded per year,
t = Time in years.
![3.25\%=\frac{3.25}{100}=0.0325](https://tex.z-dn.net/?f=3.25%5C%25%3D%5Cfrac%7B3.25%7D%7B100%7D%3D0.0325)
![A=6500(1+\frac{0.0325}{1})^{1\cdot 8}](https://tex.z-dn.net/?f=A%3D6500%281%2B%5Cfrac%7B0.0325%7D%7B1%7D%29%5E%7B1%5Ccdot%208%7D)
![A=6500(1+0.0325)^{8}](https://tex.z-dn.net/?f=A%3D6500%281%2B0.0325%29%5E%7B8%7D)
![A=6500(1.0325)^{8}](https://tex.z-dn.net/?f=A%3D6500%281.0325%29%5E%7B8%7D)
![A=6500(1.2915775352963673)](https://tex.z-dn.net/?f=A%3D6500%281.2915775352963673%29)
![A=8395.253979](https://tex.z-dn.net/?f=A%3D8395.253979)
Now we will subtract principal amount from final amount to find amount of interest as:
![\text{interest}=8395.253979-6500](https://tex.z-dn.net/?f=%5Ctext%7Binterest%7D%3D8395.253979-6500)
![\text{interest}=1895.253979\approx 1895.25](https://tex.z-dn.net/?f=%5Ctext%7Binterest%7D%3D1895.253979%5Capprox%201895.25)
Therefore, Nicolas would have earned $1895.25 in interest at the end of 8 years.
Answer:
not rational
Step-by-step explanation:
Answer:
she needs to buy 4 boxes since she can't buy a part of a box. assuming total boxes means completely filled boxes, then she fills 3
Step-by-step explanation:
Answer:
For 14 from left to right should be 11 10 10 9 8 6. For 15 is wrong because 4 people jumped 3 feet and 3 people jumped 4 feet