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12345 [234]
3 years ago
12

You deposit $10,000 in a money-market account that pays an annual interest rate of 4.4%. The interest is compounded quarterly. H

ow much money will you have after 2 years
Mathematics
1 answer:
sergiy2304 [10]3 years ago
3 0
Total = principal * (1 + rate/n)^n*years
where "n" is the number of compounding periods per year
Total = 10,000 * (1 + .044/4)^4*2
Total = 10,000 * (1<span>.011</span>)^8
<span><span>Total = 10,000 * 1.0914635699 </span>
</span><span><span>Total = </span> 10,914.64

</span> 
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Find the length of each arc. Use the exact answer
Cerrena [4.2K]

Answer:

Option D = 16π/3 ft

Step-by-step explanation:

Arc length formula is written Mathematically as:

Arc length = 2πr × θ /360

r = 4 ft

θ = Central angle in degrees = 240°

2 × π × 4 × 240/360

8π × 240/360

8π × 20/30

16π/3 ft

So, the arc length is 16π/3 ft

3 0
3 years ago
Jaxson buys ice cream and apples at the store. He pays a total of $24.81. He pays a total of $3.60 for the ice cream. He buys 7
Vadim26 [7]

Answer:

$3.03

Step-by-step explanation:

7x + $3.60 = $24.81

Subtract $3.60 from both sides of the equation:

7x + $3.60 - $3.60 = $24.81 - $3.60

7x = $24.81 - $3.60

7x = $21.21

Divide each side by 7:

(7x/7) = ($21.21/7)

x = ($21.21/7)

x = $3.03

3 0
3 years ago
If the number of bacteria in a colony doubles every 25 hours and there is currently a population of 10,000 bacteria, what will t
MA_775_DIABLO [31]

Answer:

The population of 75 hours from now would be 40,000.

Step-by-step explanation:

The reason for this is because your initial number is 10,000 and when 25 hours pass by, your population would be 20,000. Another 25 hours pass by, and then your population would be 40,000. If you multiply 25 by 3, you will notice 75 hours have just passed, so your answer would be 40,000.

5 0
3 years ago
Solve the equation. Round the solution to two decimal places.
navik [9.2K]
Subtract the y values to one side then the numbers to the other so as x values to one side then the numbers to the other
5 0
2 years ago
Read 2 more answers
There are 52 cards in a deck, and 13 of them are hearts. Four cards are dealt, one at a time, off the top of a well-shuffled dec
irga5000 [103]

Answer:

10.97%

Step-by-step explanation:

There are 52 cards.

13 of them, are hearts.

Then

52 - 13 = 39 cards are not hearts.

4 cards are drawn, we want to find the percent chance that the fourth card is a heart card, but no before.

So the first card can't be a heart card.

because the deck is well-shuffled, all the cards have the same probability of being drawn.

Then the probability of not getting a heart card, is equal to the quotient between the number of non-heart cards (39) and the total number of cards (52), then the probability is:

p₁ = 39/52

The second card also can't be a heart card, the probability is calculated in the same way than above, but now there are 38 non-heart cards and a total of 51 cards (because one card was already drawn) then the probability here is:

p₂ = 38/51

For the third card the reasoning is similar to the two above cases, here the probability is:

p₃ = 37/50

The fourth card should be a hearts card, the probability is computed in the same way than above, as the quotient between the number of heart cards in the deck (13) and the total number of cards in the deck (now there are 49 cards)

then the probability is:

p₄ = 13/49

The joint probability (the probability of these 4 events happening together) is equal to the product between the individual probabilities:

P = p₁*p₂*p₃*p₄

P = (39/52)*(38/51)*(37/50)*(13/49) = 0.1097

The percent chance is the above number times 100%

Percent =  0.1097*100% = 10.97%

3 0
3 years ago
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