Answer: $107,836.69 or about $107,837 (to the nearest dollar)
Step-by-step explanation:
Formula to the accumulated amount received after investing principal amount (P) at rate of interest (r) compounded monthly for t months :

As per given , A = $130,000
r= 7.5% = 0.075
t= 30 months
Now,

Hence he need to invest $107,836.69 .
Answer: 31,755
Step-by-step explanation: You would just multiply 365 by 87 like this.
365 x 87
and the answer would be 31,755.
365 x 87 = 31,755
Answer:
<h2><u>111°</u></h2>
Step-by-step explanation:
Hi,
So lets answer this question;
Here we know that:
69° + z = 180° [Straight angle or Supplementary angle]
⇒ z = 180° - 69°
= <u>111°</u>
Answer:
Probability that detector B goes off is '0.615'
Step-by-step explanation:
Given that:
1) Probability that detector A goes off and detector B does not go off is 0.25.
2)Probability that detector A does not go off is 0.35.
3)Probability that detector A goes off is (1-0.35)=0.65
Assuming that
Probability that detector B goes off is 'p' Hence the probability that detector B does not goes off is (1-p)
Thus the probability that detector A goes off and detector B does not go off is product of the individual probabilities

Probability that detector B goes off is '0.615'
Answer: I would say move 2 unit down
Explanation:
If y = (-10/6)x + 10 is the line in pic
And if the y-int move to 8 and keep using the same slope:
y = (-10/6)x + 8
If we were to draw we can see that we start at unit 8 then move 10 unit and move to the right 6 unit we can see that the line move down 2 unit.