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topjm [15]
3 years ago
13

There was a sample of 350 milligrams of a radioactive substance to start a study. since then, the sample has decayed by 7.1% eac

h year. let t be the number of years since the start of the study. let y be the mass of the sample in milligrams. write an exponential function showing the relationship between y and t .
Mathematics
1 answer:
attashe74 [19]3 years ago
8 0
<span>y = Ae^(-kt), where y is the mass in milligram of the sample at time t, A is the initial amount, and k is the decay rate and t is the time So the exponential function showing the relationship between y and t. y = 350e^(-0.07t)</span>
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Solve 2x2 + 26 = 0 to identify the roots.
zalisa [80]

Answer:

x=+/-i\sqrt{13}

Step-by-step explanation:

To find the roots, factor and set equal to 0 or use the quadratic formula. This quadratic equation does not factor and must be solved using the quadratic formula.

x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}

where a = 2, b=0, and c=26

x=\frac{0+/-\sqrt{0^2-4(2)(26)} }{2(2)} \\x=\frac{+/-\sqrt{-208)} }{4} \\x=\frac{+/-i\sqrt{16*13)} }{4}\\x=\frac{+/4i\sqrt{13} }{4}\\x=+/-i\sqrt{13}


7 0
3 years ago
Read 2 more answers
Ray Flagg took out a​ 60-month fixed installment loan of​ $12,000 to open a new pet store. He paid no money down and began makin
Alenkinab [10]

Answer:

Since the question is incomplete, I looked for similar questions:

a) determine apr of installment loan  

b) how much interest will Ray save by paying off the loan early

c) what is the total amt due to pay off the loan?

a) first we will determine the effective rate:

PV annuity factor = loan / monthly payment

PV annuity factor = $12,000 / $221 = 54.2986

Using an annuity table, knowing that the number of periods is 60, we can see that the interest rate is 0.333%.

APR = 0.333% x 12 = 4%

b) I prepared an amortization schedule to determine Ray's balance after the 29th payment.

After the 29th payment, Ray's balance will be $6,498.54

in order to pay off the debt completely, he needs to pay $6,498.54 + $22.32 in interests = $6,520.86.

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Download pdf
6 0
3 years ago
The time to fly between New York City and Chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 mi
antoniya [11.8K]

Answer:

a) 135 minutes

b) 15

c) 0.5

d) 0.3707

Step-by-step explanation:

A) What is the distribution's mean

mean(m) = (120 + 150)/2 = 270/2 = 135 minutes

B) What is the distribution's standard deviation

standard deviation(s) = \sqrt{\frac{(120-135)^{2}+(150-135)^{2}  }{2} }

s = 15

C) What is the probability that a flight is less than 135 minutes

firstly calculate z score

z score = (x - m)/s = (135 - 135)/15 = 0

P(x<135) = z(0) = 0.5

D) What is the probability that a flight is more than 140 minutes?

z score = (x - m)/s = (140 - 135)/15 = 0.33

P(x>140) = 1 - P(x<140) = 1 - 0.6293 = 0.3707

8 0
3 years ago
The Inverse of G(x) is a function. True or False.
BigorU [14]
False, I don't think it makes any sense.
3 0
3 years ago
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Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!
zepelin [54]

Answer:

Step-by-step explanation:

∠DEF is congruent to ∠EFA

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3 years ago
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