I need the answers to the following questions

Mathematics

1 answer:

Oliga [24]3 years ago

4 0

At death means x= 0, so on the graph you can see that (0, 500), so 500 carbon atoms are present at death.

Plug 11,240 in for t in the equation, and you are left with N(t) = 500(1/2)^2 = 125 carbon atoms.

See the graph point (25,000, 24.298)? That means that after 25,000 years 24.298 carbon atoms will be present. So the answer is 25,000 years.

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Suppose you want to accumulate $25,000 as down payment on a house and the best you can do is to put aside $200 a month. If you d

Sunny_sXe [5.5K]

Answer:

It will take 88.2 months to accumulate the amount

Step-by-step explanation:

Given;

Future value of money, FV = $25,000

investment per compound period, P = $200

interest rate, i = 0.75% x 12 = 9%

The number of monthly installments required to amount to FV is given by;

$n = \frac{ln(FVi +cp)-ln(cp)}{ln(c+i)-ln(c)}\\\\ n = \frac{ln(25000*0.09 +200*12)-ln(200*12)}{ln(12+0.09)-ln(12)}\\\\n = \frac{8.4446 -7.7832}{2.4924-2.4849}\\\\n = 88.2 \ months$

Therefore, it will take 88.2 months to accumulate the amount.

7 0

4 years ago

Multiple the binomials (x+3)^2

maxonik [38]

Answer:

$=x^2+6x+9$

Step-by-step explanation:

$\left(x+3\right)^2\\\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2\\a=x,\:\:b=3\\=x^2+2x\cdot \:3+3^2\\\mathrm{Simplify}\:x^2+2x\cdot \:3+3^2:\quad x^2+6x+9\\x^2+2x\cdot \:3+3^2\\\mathrm{Multiply\:the\:num\\bers:}\:2\cdot \:3=6\\=x^2+6x+3^2\\3^2=9\\=x^2+6x+9$

8 0

3 years ago

Which equation represents an exponential function with an initial value of 500 ?

Sergeeva-Olga [200]

Answer: f(x) = 500(2)^x

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3 years ago

1) Complete the following items dealing with sets.

Ivanshal [37]

From the set {21, 37, 45}, use substitution to determine which value of x makes the inequality true.x - 8 > 29
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none of these
37
21From the set {21, 37, 45}, use substitution to determine which value of x makes the inequality true.x - 8 > 29
45
none of these
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21

3 0

3 years ago

Joe swam at the rate of 4.5 miles per hour. Joseph swam at the rate of 1/12 of a mile per minute. Who was swimming faster? By ho

kiruha [24]

Joseph was swimming faster because 1/12 of a mile per minute is around 5 miles per hour so Joseph was swimming 0.5 miles per hour faster than Joe.

7 0

3 years ago

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