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hjlf
2 years ago
10

The amount (in percent) of a drug in a person's bloodstream h hours after its injection can be

Mathematics
1 answer:
8090 [49]2 years ago
5 0

Answer:

32.41%

Step-by-step explanation:

f (h) = \frac{5h}{4h^{2} }  + 5

f (3.5) = 5(3.5)/4 (3.5)^2 +5

f(3.5) = \frac{17.5}{49} + 5

f(3.5) = 0.3241

0.3241 x 100 = 32.41%

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The volume of a certain right circular cone is 30 cubic inches. What is the volume, in cubic inches, of a second right circular
mrs_skeptik [129]

Answer:

V = 15 in.³

Step-by-step explanation:

The original cylinder has radius r and height h.

V = πr²h

Its volume is 30 in.³, so

πr²h = 30 in.³

The new cylinder has radius (1/2)r and height 2h.

Its volume is

V = π(r/2)²(2h)

V = πr² × 2h/4

V = πr²h/2

πr²h is the volume of the original cylinder, and it is 30 in.³.

V = 30 in.³/2

V = 15 in.³

3 0
1 year ago
Mr. Vedra deposited $1,200 in a certificate of deposit (CD) at an interest rate of 5.5%. He earned $198 in simple interest. How
UkoKoshka [18]

Answer: 3 (include unit in your answer, as it was not mentioned in question)

Step-by-step explanation:

5.5% of 1200 =

1200/100 x 5.5 = 66

Time = 198/66 = 3

put the units in, if its 5.5% per annum or months or days, since it wasnt mentioned in the question :)

4 0
3 years ago
the altitude is drawn from the vertex angle of an isosceles triangle and is 15 cm long, if the base of the triangle is 16 cm lon
erastovalidia [21]
They are about 400cm long just make sure u put that
5 0
2 years ago
Suppose that $2000 is placed in a savings account at an annual rate of 4.6%, compounded quarterly. Assuming that no withdrawals
LenaWriter [7]

Answer:

It will take 35.46 quarters for the account to grow to $3000.

Step-by-step explanation:

Since the annual rate is compounded quarterly, this can be calculated using the formula for calculating the future value as follows:

FV = PV * (1 + r)^n ............................ (1)

Where;

FV = future value or the amount the deposit expected to grow to = $3,000

PV = Present value or the amount place in the savings = $2,000

r = Quarterly rate = Annual rate / 4 = 4.6% / 4 = 0.046 / 4 = 0.0115

n = number of quarters it will take for the loan to grow to $3000 = ?

Substituting the values into equation (1) and solve for n, we have:

$3,000 = $2,000 * (1 + 0.0115)^n

$3,000 / $2,000 = (1.0115)^n

1.50 = (1.0115)^n

Loglinearise both sides, we have:

log(1.50) = n log(1.0115)

0.176091259055681 = n * 0.00496588710682352

n = 0.176091259055681 / 0.00496588710682352

n = 35.4601816891322

Rounding to the nearest hundredth, which also implies to rounding to 2 decimal places, we have:

n = 35.46

Since the the annual rate is compounded quarterly, it will therefore take 35.46 quarters for the account to grow to $3000.

3 0
2 years ago
Create a system of equations
Vika [28.1K]

Answer:

Answer: Janet is 16, and David is 11.

Step-by-step explanation:

Let the ages be j and d.

j = d + 5

j + d = 27

Substitute d + 5 for j in the second equation.

d + 5 + d = 27

2d + 5 = 27

2d = 22

d = 11

Substitute 11 for d in the first equation.

j = d + 5

j = 11 + 5

j = 16

Answer: Janet is 16, and David is 11.

6 0
2 years ago
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