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3 years ago

11

Seth buys last year's best-selling novel, in hardcover, for $13.30$⁢13.30. this is with a 30%30% discount from the original pric

e. what was the original price of the novel?

1 answer:

Nadusha1986 [10]3 years ago

8 0

The answer is $19.00

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If a person takes a prescribed dose of 10 milligrams of Valium, the amount of Valium in that person's bloodstream at any time ca

aleksandr82 [10.1K]

Answer:

(a)8.0mg

(b)36.87 hours

(c)-0.168

Step-by-step explanation:

The amount of Valium in that person's bloodstream at any time can be modeled with the exponential decay function $A ( t ) = 10 e^{ -0.0188 t$ (t in hours)

(a)After 12 Hours

$A ( 12) = 10 e^{ -0.0188*12}\\=7.98\\\approx 8.0 mg $(to the nearest tenth of a milligram)$

(b)If A(t)=5mg

Then:

$5= 10 e^{ -0.0188 t}\\$Divide both sides by 10\\0.5=e^{ -0.0188 t}\\$Take the natural logarithm of both sides\\ln (0.5)=-0.0188 t\\t=ln (0.5) \div (-0.0188)\\$t=36.87 hours (to two decimal places.)$

(c)

$A ( t ) = 10 e^{ -0.0188 t}\\A'(t)=10(-0.0188)e^{ -0.0188 t}\\A'(t)=-0.188e^{ -0.0188 t}\\$At 6 hours, the rate at which the amount of Valium is decaying therefore is:\\A'(6)=-0.188e^{ -0.0188*6}\\$=-0.168 ( to three decimal places)$

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2 years ago

The quotient of two numbers is negative. It must be true that _____.

kobusy [5.1K]

<span>The quotient of two numbers is negative. It must be true that B. one of the numbers is negative.
If neither number is negative, then their quotient will be positive, because both numbers are positive. If both numbers are negative, then their quotient will also be positive.
But since B is correct, their quotient will be negative.
For example: -9/3 = -3</span>

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3 years ago

Which are equivalent to each other 6a-4a+2, 2+5a+5a and 9a+a+2 WHO EVER ANSWERS I WILL MARK BRAINLIEST

Tanya [424]

Answer:

2+5a+5a and 9a+a+2

Step-by-step explanation:

It is the answer as

6a-4a+2= 2a+2

2+5a+5a= 10a+2

& 9a+a+2= 10a+2

PLEASE MARK ME AS BRAINLIEST!!!

6 0

2 years ago

A shipment of 50 inexpensive digital watches, including 10 that are defective, is sent to a department store. The receiving de

ddd [48]

Answer: 0.8926

Step-by-step explanation:

Given : A shipment of 50 inexpensive digital watches, including 10 that are defective.

The probability that a digital watch is defective $: p=\dfrac{10}{50}=0.2$

Sample size : n=10

Also, they reject the whole shipment if 1 or more in the sample are found defective.

Using the binomial probability formula :

$P(x)=^nC_xp^x(1-p)^{n-x}$

Let x be the random variable that represents the number of defective watches.

The probability that the shipment will be rejected :-

$P(x\geq1)=1-P(0)\\\\=1-^{10}C_0(0.2)^0(0.8)^{10}\\\\=1-(0.8)^{10}=0.8926258176\approx0.8926$

Hence, the probability that the shipment will be rejected = 0.8926

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3 years ago

If (x + yi) + (4(x + yi) + 6i) = 10, what is x + yi?

Verizon [17]

Answer: (10 - 6i)/5

(x + yi) + (4(x + yi) + 6i) = 10

⇔ 5(x + yi) + 6i = 10

⇔ 5(x + yi) = 10 - 6i

⇔ x + yi = (10 - 6i)/5

Step-by-step explanation:

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3 years ago