a big cruise ship dropped anchor off the Caribbean island of antigua. the heavy anchor dropped into the water at a rate of 2.5 meters per second after 45 seconds the anchor was 40 meters below the waters surface. from what height above the water surface was the anchor released? how long did it take the anchor the reach the water surface?

Answers

Answer 1

Answer:
Falling at the rate of 2.5 m/s for 45 seconds, the anchor fell

(2.5 m/s) x (45 s) = 112.5 meters .

If it wound up only 40 meters underwater, then it must have fallen

(112.5 m - 40 m) = 72.5 meters

from its storage position on the big cruise ship,
before it ever reached the water.

Since it was falling at the rate of 2.5 m/s, it took

(72.5 m) / (2.5 m/s) = 29 seconds

to get down to the water surface after it started dropping.

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1. Christopher wants to invest $6200 in a retirement fund that guarantees a return of 9% annually using continously compounded intrest. How much will he have after 20 years?a) $6002.82
b) $25164.10
c) $37507.81
d) $556342.35

2. You invest $2,600 into a savings account with a 4.25% annual interest rate that compounds interest quarterly. Determine the balance on the account after 5 years.
a) $3766.54
b) $3211.99
c) $3980.50
d) $4560.60

3. You invest $2,600 into a savings account with a 4.25% annual interest rate that compounds interest quarterly. Determine the balance on the account after 50 years.
a) $21,526.87
b) $22,998.70
c) $20,450.10
d) $24,548.33

4. Stock Texas has a price of $156 per share when Bond Austin has a price of $23 per bond. Use an equation modeling the inverse variation between the stock and bond prices to predit the price of stock Texas when bound austin is worth the following: $68.74
a) $59.33
b) $48.115
c) $57.75
d) $52.20

5. What will be your total investment from an annuity of $500 per year compounded continuously earning 8% for 6 years?

Answers

1. Continuously compounded formula is given by:
A=Pe^rt
Thus given:
P=$6200, r=0.09, t=20 years:
A=6200e^(0.09*20)
A=37,507.81

Answer: c] $37507.81

2. Compound interest formula is given by:
A=p(1+r/100n)^(nt)
where: n=number of terms, p=principle, t=time, r=rate
Plugging the values in the formula we get:
A=2600(1+4.25/4*100)^(4*5)
simplifying this we get:
A=$3211.99

Answer: b)$3211.99

3. Using the formula from (2) we have:
A=P(1+r/100n)^nt
plugging in the values we get:
A=2600(1+4.25/400)^(50*4)
Simplifying the above we get:
A=$21526.87

Answer:
A] $21,526.87

4. The price of stock when the bond is worth $68.74 will be:
let the bond price be B and Stock price be S
thus
S=k/B
where
k is the constant of proportionality
thus
k=SB
hence
when S=$156 and B=$23
then
K=156*23
K=3588
thus
S=3588/B
hence
the value of S when B=$68.74
thus
S=3588/68.74
B=52.19668~52.20

Answer: d] $52.20

5. Continuously compounded annuity is given by:

FV =CF×[(e^rt-1)/(e^r-1)]
plugging in the values we get:
FV=500×[(e^(6*0.08)-1)/(e^0.06-1)]
simplifying this we get:
FV=$3698.50

16x ^ 2 - 8xy + y ^ 2

Answers

Answer:

(4x-y)^2

Step-by-step explanation:

16x^2 - 8xy + y^2 = (4x)^2 - 2*4x*y + (y)^2 the square of the difference

= (4x-y)^2

Bag a contains 3 white marveled and 2 marbles bag b contains 6 white marbles and 3 red marbles a person draws one marbles from each bag find the probability that both marbles are white

Answers

$|\Omega|=5\cdot9=45\n|A|=3\cdot6=18\n\nP(A)=(18)/(45)=(2)/(5)$

Find all zeros (both real and complex) for the function f(x)=x^3-5x^2+4x+10

Answers

$f(x)=x^3-5x^2+4x+10\n f(x)=x^3+x^2-6x^2-6x+10x+10\n f(x)=x^2(x+1)-6x(x+1)+10(x+1)\n f(x)=(x+1)(x^2-6x+10)\n\n x+1=0\n x=-1\n\n x^2-6x+10=0\n x^2-6x+9+1=0\n (x-3)^2=-1\n x-3=i \vee x-3=-i\n x=3+i \vee x=3-i\n\n x=\{-1,3-i,3+i\}$

HELP ASAPP :( !!!!
ill mark you as brainliest

Answers

The answer is (-2,6).

Answer:

4,0

Step-by-step explanation:

Try 4,0.

Hope this helps! :)

Find each quotient.
688÷7=

Answers

okay so if your dividing long division this is how you do it first you would divide 7 into 68 since it can't divide into just 6, and 7 divides into 68, 9 times so you would put 9 on top, and 9 x 7 is 63, so 68 minus 63 is 5 then you would carry down the eight which would make the next number 58 and 7 divides into 58, 8 times, and 7 x 8 is 56, and 58 minus 56 is 2 so the 2 qoes down and the remainder is 2 but if you need multiple remainders the you need to keep on dividing so you need to put a 0 at the end of 688 and you can do this because 688 is the same as 688.0 its the same so you just keep on dividing so you bring the 0 down and that makes 20, 7 goes into 20 2 times so now you would put a .2 on top and 2 x 7 is 14 so 14 goes under the 20 and 20 minus 14 is 6 then you need more than one remainder you just keep going so you add another 0 at the end, so it should look like this 688.00 now and you drop the 0 and that makes the 6 a 60 and 7 goes into 60, 8 times so put a 8 on top and 8 x 7 is 56 and 60 minus 56 is 4 so your answer would be 98.28 but you can keep going this is what i have gotten so far 98.285714, also this is a problem where you aren't going to get an answer where you don't have a remainder
also the numbers .285714 all keep on repeating forever and there's a mathematical sign that you put over decimals like that (that just keep on repeating themselves) but i forgot what its called i know this is long but i hope it helped you:)

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