Answer:
X = 60
Y = 50
Step-by-step explanation:
The total degrees of a triangle is 180 degrees. For the middle triangle, 50+70=120 so 180-120=60.
On the far right, Y=50 because you take 50 degrees from the middle triangle, and insert it there.
Answer:
Point C which is 1.
Step-by-step explanation:
A = -6
E = 8
M = (A + E)/2
M = (-6 + 8)/2 = 2/2 = 1
The midpoint is 1 which is point C.
The lowest term of 836/54 is 418/27!
Answer:
The balance after four years is $1129.27
Step-by-step explanation:
The formula for compound interest, including principal sum, is ![A=P(1+\frac{r}{n})^{nt}](https://tex.z-dn.net/?f=A%3DP%281%2B%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
- A = the future value of the investment/loan, including interest
- P = the principal investment amount (the initial deposit or loan amount)
- r = the annual interest rate (decimal)
- n = the number of times that interest is compounded per unit t
- t = the time the money is invested or borrowed for
∵ $800 is deposited in an account
∴ P = 800
∵ The account pays 9% annual interest
∴ r = 9% = 9 ÷ 100 = 0.09
∵ The interest is compounded annually
∴ n = 1
∵ The time is 4 years
∴ t = 4
- Substitute the values of P, r, n, and t in the formula above
∵ ![A=800(1+\frac{0.09}{1})^{(1)(4)}](https://tex.z-dn.net/?f=A%3D800%281%2B%5Cfrac%7B0.09%7D%7B1%7D%29%5E%7B%281%29%284%29%7D)
∴ ![A=800(1.09)^{4}](https://tex.z-dn.net/?f=A%3D800%281.09%29%5E%7B4%7D)
∴ A = 1129.265
∴ The balance after four years is $1129.27
Answer:
53
Step-by-step explanation:
72 = x + 3x - 4
72 = 4x - 4
72 + 4 = 4x - 4 + 4
76 = 4x
76/4 = 4x/4
x = 19
3(19) - 4 = 53
Hope this helps!