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3 years ago

Im willing to spend some biG points this Friday, I hope everyone's having a Fantastic day.

Mathematics

2 answers:

Lera25 [3.4K]3 years ago

7 0

Answer:

I went outside to read mostly and homework

AleksandrR [38]3 years ago

3 0

Answer:

Step-by-step explanation:

weekly

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A woman takes 12 equal-sized steps. She walks a total of 10 yards

kiruha [24]

Answer:

Each step is 30 inches

Step-by-step explanation: One yard is 36 inches. 10 yards is 360 inches.

360 divided by 12 is 30.

3 0

3 years ago

Solve for x:<br> Зах + b = с

Brrunno [24]

X= c/3a - b/3a if I’m right.

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2 years ago

Read 2 more answers

a baseball diamond is a 90ft square. the mound is 60.5 ft from home plate. how far is it from the mound to first base.

vodka [1.7K]

X=63.7 Feet
Hope this helps.

3 0

3 years ago

A typical cup of coffee contains about 100 mg of caffeine and every hour approximately 16% ofthe amount of caffeine inthe body i

Over [174]

Answer:

a) $\frac{dC}{dt} = rC$

And for this case we can rewrite the model like this:

$\frac{dC}{C} = r dt$

If we integrate both sides we got:

$ln C = rt + k$

If we use exponentials for both sides we got:

$C = e^{rt} e^k = C_o e^{rt}$

For this case $C_o = 100 mg$ and r = -0.16

So then our model would be given by:

$C(t) = 100 e^{-0.16 t}$

Where t represent the number of hours

b) $C(5) = 100 e^{-0.16*5}= 44.9329$

Step-by-step explanation:

Part a

For this case we can assume the proportional model given by:

$\frac{dC}{dt} = rC$

And for this case we can rewrite the model like this:

$\frac{dC}{C} = r dt$

If we integrate both sides we got:

$ln C = rt + k$

If we use exponentials for both sides we got:

$C = e^{rt} e^k = C_o e^{rt}$

For this case $C_o = 100 mg$ and r = -0.16

So then our model would be given by:

$C(t) = 100 e^{-0.16 t}$

Where t represent the number of hours

Part b

For this case we can replace the value t=5 into the model and we got:

$C(5) = 100 e^{-0.16*5}= 44.9329$

7 0

3 years ago

____ is the amount of a $3,000.00 annuity due at 12 percent compounded semiannually for 3 years

ANEK [815]

The formula of the present value of annuity due:
$PV=C*[\frac{1-(1+i)^{-n}}{i}]*(1+i)$

For your case:
C = $3000
i = 12% / 100 = 0.12
n = 3 * 2 = 6 (semiannually for 3 years means 6 payments)

So, the solution is:
$PV=3000*[\frac{1-(1+0.12)^{-6}}{0.12}]*(1+0.12)=3000*[\frac{1-0.5066}{0.12}]*1.12=$
$=3000*[\frac{1-0.5066}{0.12}]*1.12=3000*4.1114*1.12=13814.32$

3 0

3 years ago