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castortr0y [4]
3 years ago
6

HELLOPPPPP PLEASE

Mathematics
1 answer:
KiRa [710]3 years ago
4 0

Answer:

Use this equation: Amount after years=Initial investment*(1+Interest rate/time compounded yearly)^number of years*times compounded yearly

So A=25,000(1+.095/1)^8*1

Simplify

A=25000(1.095)^8

Simplify

A=25000(2.07)

Solve

A=$51,671.73

This equation can be used for all problems of this type.

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A 41 gram sample of a substance that's used to detect explosives has a k-value of 0.1392. Find the substance's half life, in day
-BARSIC- [3]

Answer:

The substance half-life is of 4.98 days.

Step-by-step explanation:

Equation for an amount of a decaying substance:

The equation for the amount of a substance that decay exponentially has the following format:

A(t) = A(0)e^{-kt}

In which k is the decay rate, as a decimal.

k-value of 0.1392.

This means that:

A(t) = A(0)e^{-0.1392t}

Find the substance's half life, in days.

This is t for which A(t) = 0.5A(0). So

A(t) = A(0)e^{-0.1392t}

0.5A(0) = A(0)e^{-0.1392t}

e^{-0.1392t} = 0.5

\ln{e^{-0.1392t}} = \ln{0.5}

-0.1392t = \ln{0.5}

t = -\frac{\ln{0.5}}{0.1392}

t = 4.98

The substance half-life is of 4.98 days.

5 0
3 years ago
Oel visits a department store to pick a pack of salted mixed nuts. A pack of 15 oz. Is priced at $7.50 and the offer on a pack c
vaieri [72.5K]
The 24 ounce one ig because if you divide 7.50 by 15 you’ll find out that it’s 0.50€ per ounce. You’re saving money and getting more for the 25 pack because it should originally be $12.50 but they are giving you 10 more ounces for just $11.75
4 0
2 years ago
Suppose that y varies inversely with x. Use the information to find k, and then choose the equation of variation. x = 1.2 when y
baherus [9]
Y = k/x where k is the constant of variation
y = 3 , x = 1.2 gives
3 = k/1.2
therefore 
k = 3*1.2 = 3.6
and the  required equation is 

y = 3.6 / x

6 0
3 years ago
I’m confused need help please
IrinaK [193]

Answer: The answer is 8

5 0
2 years ago
Read 2 more answers
The sum of the measures of the interior angles in a convex polygon is 1,260°. How many sides does the polygon have?
gavmur [86]
The formula for working out the total interior is:

180(n-2) = 1260

So let’s rearrange by dividing both sides by 180 and find what n is:

n-2 = 7

Then let’s add 2 to both sides to find what n is:

n=9

Each interior angle is 1260/9 = 140°.
The sum of the interior angle and its corresponding exterior angle is 180°.

Therefore, the polygon has 9 sides. :)

3 0
2 years ago
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