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grandymaker [24]
2 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]2 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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Is the triangle a right triangle? Explain.
Eddi Din [679]

Answer:

The triangle is not a Right Triangle because the two acute angles aren't exactly 45 degrees.

Step-by-step explanation:

4 0
3 years ago
Pleaseeee helpppppppppp
o-na [289]

Answer:

25 ft^2

Step-by-step explanation:

In direct variation, if y varies directly with x, then the equation has the form

y = kx,

where k is the constant of proportionality. y is proportional to x.

Let's call the area y and the distance x.

Here, the area varies with the square of the distance, so the equation has the form

y = kx^2

Here, y is proportional to the square of x.

We can find the value of k by using the given information.

y = kx^2

When x = 20 ft, y = 16 ft^2.

16 = k(20^2)

k = 16/400

k = 1/25

The equation of the relation is:

y = (1/25)x^2

Now we use the equation we found to answer the question.

What is y (the area) when x (the distance) is 25 ft?

y = (1/25)x^2

y = (1/25)(25^2)

y = 25

Answer: 25 ft^2

5 0
2 years ago
What is the correlation coefficient for the data shown in the table? 0 1 4 5
SOVA2 [1]

we know that

The correlation coefficient is a number between -1 and +1 that represent the linear dependence of two variables or sets of data

Using the function CORREL in a excel tool, calculate the correlation coefficient (r)

see the attached table

the correlation coefficient for the data in the table is equal to 1

therefore

the answer is

r=1

4 0
3 years ago
Read 2 more answers
1. What is the formula for compound interest?
Rus_ich [418]

Answer:

  1.   CI = P (1 + \frac{r}{100} )^ n - P

        CI = A - P

      Where P is Principal

      R is interest rate

      n is number of years

   2. a. Semi annually - four times in a year

       b. Monthly           -  two times in a year

       c.  annually          -  once in a year

Step-by-step explanation:

1.  Money is said to be lent at compound interest , when the interest has become due at certain fixed period say, one year, half year, etc.., is given not paid to money lender, but is added to sum lent . The amount thus obtained become principal for next month and this process repeat until last period .

i.e CI = Final period - Initial period

or CI = A - P

or CI = P(1+ \frac{r}{100}) ^n - P

2. (a) Semi annually

        A = P (1 + \frac{r}{4 * 100} )^ n × 4

   (b)  Monthly

       A = P (1 + \frac{r}{2 * 100} ) ^ n × 2

   

   (c)  Annually

       A = P (1 + \frac{r}{100} ) ^ n

3 0
3 years ago
Please help me with this
Ivan
800/560
10/7

Your answer is 1 3/7 pounds per dollar

hope it helps
6 0
2 years ago
Read 2 more answers
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