The diagram shows a triangle.
46
3u
98
What is the value of u?

12 degrees

Step-by-step explanation:

The sum of a triangle is always going to be 180 degrees, so we would set up an equation for this:

46 + 3u + 98 = 180

Then, we solve from there for the value of 'u'.

144 + 3u =180

3u = 36

u = 36 / 3

u = 12

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correct answer is b. 27/8

step-by-step explanation:

(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.