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3 years ago

Please hurry Thank you

Mathematics

1 answer:

ki77a [65]3 years ago

8 0

Answer:

The correct answer is B. US$371.32

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Loan that Jesse's Mother did to Jesse = US$ 350

Duration of the loan = 2 years

Annual interest rate = 3% compounded annually

2. Let's find the future value of this loan after 2 years, using the following formula:

FV = PV * (1 + r) ⁿ

PV = Loan that Jesse's Mother did to Jesse = US$ 350

number of periods (n) = 2

rate (r) = 3% = 0.03

Replacing with the real values, we have:

FV = 350 * (1.03) ²

FV = 350 * 1.0609

FV = 371.32

Jesse will pay his mom back altogether US$ 371.32.

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A certain brand of flood lamps has a lifetime that is normally distributed with a mean of 3,750 hours and a standard deviation o

vesna_86 [32]

Given that mean=3750 hours and standard deviation is 300:
Then:
a. The probability that a lamp will last for more than 4,000 hours?
P(x>4000)=1-P(x<4000)
but
P(x<4000)=P(z<Z)
where:
z=(x-μ)/σ
z=(4000-3750)/300
z=0.833333
thus
P(x<4000)=P(z<0.8333)=0.7967
thus
P(x>4000)=1-0.7967=0.2033

b.What is the probability that a lamp will last less than 3,000 hours?
P(x<3000)=P(z<Z)
Z=(3000-3750)/300
z=-2.5
thus
P(x<3000)=P(z<-2.5)=0.0062

c. .What lifetime should the manufacturer advertise for these lamps in order that only 4% of the lamps will burn out before the advertised lifetime?
the life time will be found as follows:
let the value be x
the value of z corresponding to 0.04 is z=-2.65
thus
using the formula for z-score:
-2.65=(x-3750)/300
solving for x we get:
-750=x-3750
x=-750+3750
x=3000

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3 years ago

Greg goes fishing every day for a week. On the first day he catches seven fish and each

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so first day and so on

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3 years ago

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Step-by-step explanation:

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3 years ago

X = -1+y

gtnhenbr [62]

Answer:

y = 2

Step-by-step explanation:

x= -1+y

2x-y=0

2(-1+y)-y=0

-2+2y-y=0

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-2+2+y=0+2

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2 years ago

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