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grandymaker [24]
3 years ago
6

Pierre deposits $9,000 in a certificate of deposit that pays 1.4% interest, compounded semi-annually.

Mathematics
1 answer:
Elenna [48]3 years ago
5 0

9514 1404 393

Answer:

  • interest: $63
  • balance: $9063

Step-by-step explanation:

After 6 months, the interest accrued is ...

  I = Prt

  I = $9000·0.014·(6/12) = $63

This is added to the principal to get the balance at that point in time.

  $9000 +63 = $9063

__

The interest earned in the first 6 months is $63. The balance after 6 months is $9063.

_____

The compound interest formula will give you the same result for one compounding period. It tells you the balance is ...

  A = P(1 +r/n)^(nt)

where n is the number of times interest is compounded in a year (2), and t is the number of years (1/2). For annual rate r = 1.4%, this is ...

  A = $9000(1 +0.007)^(2×1/2) = $9000·1.007 = $9063

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Iteru [2.4K]

Answer:

1) 3.75

2)0.833333

3)3.66666

Step-by-step explanation:

See photo for Step-bystep explanation

3 0
3 years ago
Jenny is selling chocolate bars it for each bar she sells she makes two dollars profit she wants to use The money she earns I’m
andre [41]

Answer:

Yes

Step-by-step explanation:

Since Jenny makes a profit of $2 for each bar of chocolate that she sells, if she sells a total of 500 chocolate bars, her profit would be:

Profit for 500 chocolate bars = profit for each chocolate bar * 500 bars

Profit for 500 chocolate bars = $2 per bar * 500 bars

Profit for 500 chocolate bars = $1000

Also she want to buy a laptop worth $998. This would be possible after selling 500 bars because $1000 > $998. After buying the laptop she would have $2 remaining ($1000 - $998)

6 0
3 years ago
The farmer down the street has an orchard with both orange and grapefruit trees. Over the weekend, she collected 49 oranges and
jeka57 [31]

Answer:

30 baskets

Step-by-step explanation:

Find the gfc of 150 and 240, you'll find that it is 30

6 0
3 years ago
1.06t can be written as (1.061/2)2t to give the approximate equivalent monthly interest rate based on an annual rate of 6%. Use
Tema [17]

Answer: 1.06^t.


Step-by-step explanation: We are given expression 1.06^t.

And 1.06^t expression is converted in (1.06^{1/2})^{2t}.

Now, we need to transform the expression into a single exponent expression using the properties of exponents.

We know, according to the properties of exponents

(a^m)^n = a^{m\times n}

Applying same rule in given expression, we get

(1.06^{1/2})^{2t} = (1.06)^{\frac{1}{2} \times 2t}

On simplifying exponents, we would get t in exponent.

=  1.06^t.

5 0
3 years ago
Read 2 more answers
To make one recipe, Lina needs 1/4 cups of sugar. For another recipe, she needs 1/2 cups of sugar. How much sugar does she need
KiRa [710]

Answer:

She needs 3/4 or 0.75 cups of sugar.

Step-by-step explanation:

1/2 = 2/4

2/4 + 1/4 = <em>3/4</em>

<em></em>

Then to get it as a fraction, you divide 3 by 4 and you get 0.75. Hope this helps!!

3 0
3 years ago
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