Answer:
y = -2/3x + 3
Step-by-step explanation:
y = -2/3x + b
5 = -2/3(-3) + b
5 = 2 + b
3 = b
Answer:
b ≈ 9.5, c ≈ 14.7
Step-by-step explanation:
Using the Sine rule in Δ ABC, that is
= 
, substitute values
= 
( cross- multiply )
b × sin23° = 7 × sin32° ( divide both sides by sin23° )
b = 
≈ 9.5 ( to the nearest tenth )
Also
= 
= 
( cross- multiply )
c × sin23° = 7 × sin125° ( divide both sides by sin23° )
c = 
≈ 14.7 ( to the nearest tenth )
Answer:
80 oz
Step-by-step explanation:
5 pints is 10 cups. 8 oz in a cup. Multiply 10(8) and you get 80 oz
Answer:
A = $100(1.12)^2
Step-by-step explanation:
The standard formula for compound interest is given as;
A = P(1+r/n)^(nt) .....1
Where;
A = final amount/value
P = initial amount/value (principal)
r = rate yearly
n = number of times compounded yearly.
t = time of investment in years
For this case;
P = $100
t = 2years
n = 1
r = 12% = 0.12
Substituting the values, we have;
A = $100(1+0.12)^(2)
A = $100(1.12)^2
Answer:
3, 5, 8, 13
Step-by-step explanation:
aₙ = aₙ₋₁ + aₙ₋₂
a₃ = a₂ + a₁ = 2 + 1 = 3
a₄ = a₃ + a₂ = 3 + 2 = 5
a₅ = a₄ + a₃ = 5 + 3 = 8
a₆ = a₅ + a₄ = 8 + 5 = 13
