Answer:
A. ∠AOD = 170°
Step-by-step explanation:
103° + 55° + 12° = 170°
Answer:
The surface area of the prism is 108 square in.
Answer:
The compound interest is Rs8275
Step-by-step explanation:
The rule of the compound interest is A = P
, where
- r is the interest rate in decimal
- n is the number of periods
The interest I = A - P
∵ The amount of investment is Rs25000 for 3 years
∴ P = 25000
∴ t = 3
∵ The rate of interest is 10% per annum, compounded annually
∴ r = 10% = 10 ÷ 100 = 0.1
∴ n = 1 ⇒ compounded annually
→ Substitute these value in the 1st rule above to find the new amount
∵ A = 25000
∴ A = 25000
∴ A = Rs33275
→ Use the 2nd rule above to find the interest
∵ I = 33275 - 25000
∴ I = 8275
∴ The compound interest is Rs8275
Answer:

Step-by-step explanation:
We are given the function:

And we want to finds its zeros.
Therefore:

Firstly, we can divide everything by -4:

Factor out an x:

This is in quadratic form. For simplicity, we can let:

Then by substitution:

Factor:

Substitute back:

By the Zero Product Property:

Solving for each case:

Therefore, our real and complex zeros are:

Answer:
R = 118
Step-by-step explanation:
Given
Represent the polynomial with P and the divisor with D


Required
Determine the remainder
We start by equating the divisor to 0
i.e.



Substitute 2 for x in the polynomial.
This gives remainder (R)




<em>Hence, the remainder is 118</em>