Chun wants to <span>reduce the weight of garbage produced to 85% of the weight produced this month.
This means that, Chun's garbage weight next month should be equal to 85% of his garbage weight this month.
Translating this into an equation, we will find that:
garbage weight next month = 85% of garbage weight this month
garbage weight next month = 0.85 * garbage weight this month
garbage weight next month = 0.85*690
garbage weight next month = 586.5 pounds
Based on the above calculations, his target weight for the garbage next month is </span>586.5 pounds
The main identity you need is the double angle one for cosine:

We get

Expand the numerator to apply the identity again:




Finally, make use of the product identity for cosine:

so that ultimately,


Answer:
4
3
0
Step-by-step explanation:
Answer:
Step-by-step explanation:
Matured amount of $200000 at 4% compounded quarterly after 3 years
= $200000 x ( FVIF , 1 , 12 )
= $200000 X 1. 1268
= $225360 .
Matured amount of $210000 at 3% compounded semiannually after 2 years
= $210000 x ( FVIF , 1.5 , 4 )
= $210000 X 1. 1268
= $225360 x 1.0614
= $239197
Total amount after maturity
= $225360 + $239197
= $464557
Matured amount of $464557 at 2% compounded annually after 7 years
= $464557 x ( FVIF , 2 , 7 )
= $464557 x 1.1487
= $533636.6
This amount is more than his target amount of 500000.00 So she meets the goal .
Answer:
Step-by-step explanation:
What is the probability that when two cards are drawn from a deck of cards without
replacement that both of them will be 8’s?
(ℎ 8
′
) = ( 8) ∙ ( 8)
( 8) =
4
52
There are three 8’s left in the deck if one is pulled and not replaced, and 51 total
cards remaining.
( 8) =
3
51
(ℎ 8
′
) =
4
52 ∙
3
51 =
12
2652 =
1
221 = .0045 .45%