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3 years ago

Compound Interest HelpHelp me to answer this question. 10 points!

Mathematics

1 answer:

ANEK [815]3 years ago

8 0

P=principal=$6000
t=time period=6 years

Option A
n=4 (compounded 4 times a year, or quarterly)
r=0.075
Future Amount
=P(1+r/n)^(nt)
=6000(1+0.075/4)^(4*6)
=$9370.746

Option B:
e=2.7182818284 (Napier's constant)
r=interest rate = 0.072
Final amount
= Pe^(rt)
=6000*e^(0.072*6)
=9242.011

Therefore option A is more profitable.

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Please help me on 18 and 19

Sidana [21]

Answer: 18: 0, because they have the same number of quarts

19: she will make 20 quarts

Step-by-step explanation:

18: 8 lemon lime- 8 orange =0

19: 8+4+8

12+8

=20 quarts

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3 years ago

Todd is putting new oak baseboard trim in his living room. He has one piece that is 12 1/2 ft long and another that is 8 2/3 ft

Arlecino [84]

Answer:

21 1/6 ft

Step-by-step explanation:

Add the lengths together

12 1/2 + 8 2/3

Get a common denominator of 6

12 1/2 *3/3 + 8 2/3 *2/2

12 3/6 + 8 4/6

20 7/6

20 +6/6+1/6

21 1/6

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2 years ago

Keith wentfor drive in his new car he drove for 86.4 miles at a speed of 54 mph for how many hours did he drive

Neporo4naja [7]

Answer is 1.6 hours
T=D/S
_=86.4/54
1.6=86.4/54
(Hopes this helps)

7 0

3 years ago

2x + 2 < 2(3x - 1)<br> I don’t understand this I have to solve the inequality

Mumz [18]

Answer:

x<1

Step-by-step explanation:

2x+2<2(3x-1)

2x+2<6x-2

2x<6x-4

-4x<-4

x<1

8 0

2 years ago

The mean number of daily surgeries at a local hospital is 6.2. Assume that surgeries are random, independent events. (a) The cou

Scilla [17]

Answer:

a) correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

b) probability for only 2 or less than 2 surgeries in a given day is 0.0536

Step-by-step explanation:

Given data:

mean number is given as 6.2

correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

we know that variance is given as $\sigma^2 = mean = 6.2$

hence, standard deviation is given as $\sqrt{6.2} = 2.48998$

thus standard deviation is 2.49

correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

b) probability for only 2 or less than 2 surgeries in a given day is

$P(X \leq 2) = P(X =0) + P(X =1) + P(X =2)$

$= \frac{e^{-6.2} 6.2^0}{0!} +\frac{e^{-6.2} 6.2^1}{1!} +\frac{e^{-6.2} 6.2^2}{2!}$

= 0.002029 + 0.012582+ 0.039006

= 0.053617

= 0.0536

7 0

3 years ago