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sashaice [31]
3 years ago
14

Bovine deposits $7,000 into an investment that pays 4% interest compounded quarterly. if she leaves it in the account for 9 year

s what is her balance
Mathematics
1 answer:
inysia [295]3 years ago
4 0

Answer:

her balance will be $7,560 after 9 years i believe.

Step-by-step explanation:


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There are 7800 grams of lodine that have a half-life of 8 days. How much lodine will remain after 40 days?
anygoal [31]

Given that we know the initial mass of Iodine and its half-life, we want to see how much will remain after 40 days.

After 40 days, 244.17 grams of Iodine will remain.

<h3 /><h3>The half-life of materials and how to use it:</h3>

The half-life of a material is the time it takes for that amount of material to reduce to its half.

We can model the amount of Iodine as:

A(t) = A*e^{k*t}

  • Where A is the initial amount, in this case, 7800g.
  • k is a constant that depends on the half-life.
  • t is the time in days.

Replacing what we know, we get:

A(t) = 7800g*e^{k*t}

Now we use the fact that the half-life is 8 days, this means that:

e^{k*8} = 1/2

ln(e^{k*8}) = ln(1/2)

k*8 = ln(1/2)

k = ln(1/2)/8 = -0.0866

Then the function is:

A(t) =  7800g*e^{-0.0866*t}

So now we just need to evaluate this in t = 40.

A(40) = 7800g*e^{-0.0866*40} = 244.17g

So, after 40 days, 244.17 grams of Iodine will remain.

If you want to learn more about half-life and decays, you can read:

brainly.com/question/11152793

3 0
2 years ago
6+2(7×-3) Simplify the expression
almond37 [142]

Answer:

=36

Step-by-step explanation:

6+2(7*(-3) )\\\\=6+2(-21)\\\\=6-42\\\\=2+4-42\\\\=4-40\\\\=36

7 0
2 years ago
Read 2 more answers
0/1
pychu [463]

Answer:

68.8 sq. inches.

Step-by-step explanation:

The triangular surfaces have sides 2 in by 3 in by 4 in.

So, half perimeter, s = \frac{2 + 3 + 4}{2} = 4.5

So, the area of the triangular face is \sqrt{s(s - 4)(s - 2)(s - 3)} = \sqrt{4.5 \times 0.5 \times 2.5 \times 1.5} = 2.9 sq. inches.

Now, the total surface area of the right triangular prism will be (2.9 × 2) + 7(2 + 3 + 4) = 68.8 sq. inches. (Answer)

4 0
2 years ago
At Davis you can buy 12 pounds of M&amp;M's for $12.24 or 8 pounds for $8.24 at Smith's. Which is the better buy
Law Incorporation [45]

Answer:

12 pounds

Explanation:

If you were to divide 12.24 from 12 you would get 1.02, which would be the cost of each pound.

Meanwhile, if you were to divide 8.24 from 8 you would get 1.03, which would be the cost of each pound.

So although its only a 1 cent difference and you are technically spending more by buying the 12 pounds, if it were to buy 8 pounds from the cost of each pound for the 12 pounds, you'd only be spending $8.16 vs $8.24.

Because you would multiply 1.02, which is the cost of each pound for 12, by 8 and you would get 8.16.

4 0
2 years ago
Find the area of a circle with a circumference of 18.84 units
Nata [24]

Answer:

278.773622 or 300 if rounded

Step-by-step explanation:

The area of a circle is:

π (Pi) times the Radius squared:

A = π r2

or, when you know the Diameter:

A = (π/4) × D2

or, when you know the Circumference:

A = C2 / 4π

6 0
2 years ago
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