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Mnenie [13.5K]
3 years ago
9

44 points! Brainliest for correct answer!

Mathematics
1 answer:
Art [367]3 years ago
5 0

Answer:

5n + 25q = 200 - - - (1)

n = 5q - - - (2)

q = 40

n = 5(40) = 200

Step-by-step explanation:

Number of Nickels = n

Number of Quarters = q

$2.00 = $2 * 100 = 200 cent

Nickel = 5 cent

Quarter = 25 cent

5n + 25q = 200 - - - (1)

n = 5q - - - (2)

5(5q) + 25q = 200

25q + 25q = 200

50q = 200

q = 200/5

q = 40

n = 5(40) = 200

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2.The number of grams A of a certain radioactive substance present at time, in yearsfrom the present, t is given by the formulaA
professor190 [17]

Answer:

Given that,

The number of grams A of a certain radioactive substance present at time, in years

from the present, t is given by the formula

A=45e^{-0.0045(t)}

a) To find the initial amount of this substance

At t=0, we get

A=45e^{-0.0045(0)}A=45e^0

We know that e^0=1 ( anything to the power zero is 1)

we get,

A=45

The initial amount of the substance is 45 grams

b)To find thehalf-life of this substance

To find t when the substance becames half the amount.

A=45/2

Substitute this we get,

\frac{45}{2}=45e^{-0.0045(t)}

\frac{1}{2}=e^{-0.0045(t)}

Taking natural logarithm on both sides we get,

\ln (\frac{1}{2})=-0.0045(t)^{}(-1)\ln (\frac{1}{2})=0.0045(t)\ln (\frac{1}{2})^{-1}=0.0045(t)\ln (2)=0.0045(t)0.6931=0.0045(t)t=\frac{0.6931}{0.0045}t=154.02

Half-life of this substance is 154.02

c) To find the amount of substance will be present around in 2500 years

Put t=2500

we get,

A=45e^{-0.0045(2500)}A=45e^{-11.25}A=45\times0.000013=0.000585A=0.000585

The amount of substance will be present around in 2500 years is 0.000585 grams

4 0
1 year ago
To be eligible for financial aid, a student must earn no more than $20,000 per year.
Alexus [3.1K]

Answer:

??

Step-by-step explanation:

5 0
3 years ago
100 POINTS PLS HELP write the value of six dimes as a fracition,with 100 as a demominator
BartSMP [9]

1 dimes are worth 10 cents.

Multiply.

6 * 10 = 60

Put in a fraction with the denominator given.

60/100

Reduce the fraction.

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30/50

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3/5

Best of Luck!

7 0
3 years ago
Read 2 more answers
Can somebody please help me with these two questions?
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Problem 3

This is not an exponential function. If you were to graph this out, you would see a parabola forming. Or at the very least, a parabolic-like curve forms. An exponential curve only increases or only decreases for the entire domain. However, in this case, we have an increasing portion, and then it decreases.

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Problem 4

This is an exponential function. Each time x increases by 1, y is multiplied by 4. The equation that models these points is y = 4^x. Note how the function is strictly increasing and there are no decreasing portions mixed in.

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