Answer:
yes, they are
Step-by-step explanation:
3;5 = 6;10
1) This is a combination, so use ⁴⁰C₂.
⁴⁰C₂ = 780
There are 780 handshakes in total.
2) I got my solution by using the combinations formula. Or another way you could do this is to add up... 39 + 38 + 37 + 36 + 35 + 34 + 33 + 32 + 31... +1. You will end up with 780 (I did this to double check my work).
3) The quickest way to figure this out if Drake invited 1,000 people is to use the natural numbers formula = n(n+ 1)/2.
Plug the numbers in: 999(1000)/2 = 499,500
If Drake invited 1,000 people, there would be 499,500 handshakes.
Based on the amount borrowed and the interest per year, Big Brothers, Inc will pay an annual payment of $59,973.15.
<h3>How much will Big Brothers, Inc. pay annually?</h3>
This can be found by using the present value of an annuity formula because the annual payment will be constant and therefore like an annuity.
Formula is:
Present value of annuity = Annual payment x ( 1 - (1 + rate) ^ -number of periods) / rate
Solving gives:
267,999 = Amount x ( 1 - ( 1 + 18.16%)⁻¹⁰) / 18.16%
267,999 = Amount x 4.46865
Amount = 267,999 / 4.46865
= $59,973.15
Find out more on loan present value at brainly.com/question/15088278.
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Answer:
22
Step-by-step explanation:
3.56 = 4
5.9 = 6
12.087 = 12
4+6+12 = 22
Answer:
55°
Step-by-step explanation:
2 is congruent with 1