BRAINLIEST IF ANSWERED QUICKLY Daniel bakes 420 cakes. He bakes only vanilla cakes, banana cakes, lemon cakes and chocolate.
2/7 of the cakes are vanilla cakes.
35% of the cakes are banana cakes.
The ratio of the number of lemon cakes to the number of chocolate cakes is 4 : 5.
Work out the number of lemon cakes Daniel bakes.

42 lemon cakes

Step-by-step explanation:

120 vanilla cakes

147 banana cakes

120 + 147 = 267

420 - 267 = 153 lemon and chocolate cakes

56 chocolate cakes

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.

6.25 grams

step-by-step explanation: