Answer:
25
Step-by-step explanation:
Given,
Measurement of <1 = x + 10
Measurement of <2 = 4x + 5
Also, said in the question that both these angles are complementary.
Therefore, by the problem,
<1 + <2 = 90°
=> x + 10 + 4x + 5 = 90
=> x + 4x + 10 + 5 = 90
=> 5x + 15 = 90
=> 5x = 90 - 15 = 75
=> x = 15
Now, we have got the value of x so,
Measurement of <1 is
<1 = x + 10 = 15 + 10 = <u>25 (Ans)</u>
<span>The square root of -16 is an imaginary number and a complex number. Sqrt(-16)=4i. We use the i to indicate that the number is imaginary since there is no number that can be multiplied by itself to get a negative number (a negative times a negative is a positive, and a positive times a positive is also a positive). So the use of i tells you immediately that it's an imaginary number. You can tell the number is complex because it has both a real and an imaginary part and could be written in the form a+bi, where a is a real number and bi is an imaginary number. In this specific case, the real part (a) is 0 and the imaginary part (bi) is 4i.</span>
Use the formula of the present value of annuity ordinary
The formula is
Pv=pmt [(1-(1+r/k)^(-kn))÷(r/k)]
Pv present value 84700
Pmt payment per quarter ?
R interest rate 0.10
K compounded quarterly 4
N time 9 years
We need to solve for pmt
Pmt=pv÷ [(1-(1+r/k)^(-kn))÷(r/k)]
Pmt=84,700÷((1−(1+0.10÷4)^(−4
×9))÷(0.10÷4))=3,595.65
Hope it helps
Answer:
13
Step-by-step explanation:
8-15= -7
-7 + 20 = 13