Answer:
x = 27
Step-by-step explanation:
AC // DE
m∠ABD ≅ m∠BDE = 72°
m∠ADB + m∠BDE + m∠EDF = 180°
2x + 72° + 2x = 180°
4x = 108°
x = 27°
Answer:
14.99 hours
Step-by-step explanation:
The formula for half-life is given as,
R/R' = 2ᵃ/ᵇ...................... Equation 1
Where R= Original mass of sodium-24, R' = mass of Sodium-24 after disintegration, a = Total time taken for sodium-24 to disintegrate, b = half-life of sodiun-24.
Given: R = 1 kg, R' = 0.0156 kg, a = 90 hours
Substitute into equation 1 and solve for b
1/(0.0156) = 2⁹⁰/ᵇ
Taking the log of both side
log[1/(0.0156)] = log(2⁹⁰/ᵇ)
log[1/(0.0156)] = 90/b(log2)
90/b = log[1/(0.0156)]/log2
90/b = 6.0023
b = 90/6.0023
b = 14.99 hours
b = 14.99 hours.
Hence the half-life of Sodium-24 is 14.99 hours
Tuesday:
30.80 + 1.20 = 32.00
Falling by 6.25% means it ends up being 93.75% of what it used to be (100% - 6.25% = 93.75%)
Wednesday:
32.00 * 0.9375 = 30
Thursday:
30 * 0.96 = 28.8
Friday:
28.8 * 1.025 = 29.52
Net change means you subtract to get the difference.
Net change = Final - initial
= 29.52 - 30.80
= -1.28
The stock fell $1.28
Answer:
C: Both saving and investing
Step-by-step explanation:
You need to save money in order to have money to invest
REMEMBER: A rotation of 180 degrees means you flip both x and y numbers
E(-4,3)
F(7,-5)
G(-2,-8)