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Anvisha [2.4K]
3 years ago
10

Find the sum:

Mathematics
1 answer:
ruslelena [56]3 years ago
8 0

Answer:

dd

Step-by-step explanation:

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Suppose you invest $2000 at annual interest rate of 4.5 % How much money do you have in the account after five years?
nataly862011 [7]

Answer:

Please check the explanation.

Step-by-step explanation:

To find the amount we use the formula:

A=P\cdot \left(1+\frac{r}{n}\right)^{nt}

Here:

A = total amount

P = principal or amount of money deposited,

r = annual interest rate

n = number of times compounded per year

t = time in years

Given

P=$2000

r=4.5%

n=4

t = 5 years

<em />

<u><em>Calculating compounded quarterly </em></u>

After plugging in the values

A=2000\left(1+\frac{4.5\%\:}{4}\right)^{4\cdot \:5}

A=2000\left(1+\frac{0.045}{4}\right)^{4\cdot \:5}

A=2000\cdot \frac{4.045^{20}}{4^{20}}

A=\frac{125\cdot \:4.045^{20}}{2^{36}}

A = 2,501.50

Thus, If you deposit $2000 into an account paying 4.5% annual interest compounded quarterly, you will have $2501.50 after five years.

<u><em>Calculating compounded semi-annually</em></u>

n = 2

A=2000\left(1+\frac{4.5\%\:}{2}\right)^{2\cdot \:5}

A=2000\left(1+\frac{0.045}{2}\right)^{2\cdot \:5}

A=2000\cdot \frac{2.045^{10}}{2^{10}}

A = 2,498.41

Thus, If you deposit $2000 into an account paying 4.5% annual interest compounded semi-annually, you will have $2,498.41  after five years.

5 0
3 years ago
Krista and Nick put a down payment of 20% on the purchase of their house, and then financed $200,000. What was the purchase pric
vlabodo [156]

D) $250,000 is the correct answer

8 0
4 years ago
Read 2 more answers
The function f(x) = x3 – 7x + bis shown in the figure.<br> 15+
Anna007 [38]

Answer:

The correct answer is

(x + 2) (x + 1) (x - 3)

Step-by-step explanation:

4 0
3 years ago
Assume the probability is 1/2 that a child born at any time is a boy and births are independent. What is the probability of the
melisa1 [442]

There are only 23=823=8 possible ways to arrange the genders boy/girl, with repetition. Since the probability of boy and girl are equal, the probability of each of these arrangements are also equal. We can therefore count the number of possible "good" answers, and divide by 8.

There are 3 possible ways to have 1 boy, that being "first/second/third child is boy", so the probability of exactly 1 boy is indeed 3838.

Having at most 2 girls is the opposite of having three girls, so since there are only one way of having three girls, there must be 8−1=78−1=7 ways of having at most two girls, so the probability of at most two girls is indeed 78

8 0
3 years ago
What is the exponential notation for 262,144
7nadin3 [17]

since there is always a decimal at the end of every value so :

           = 262144.0 

        you move the decimal backwards if there is no decimal between the value. you place the decimal after the 1st digit, you will also count the digits you have passed : 

         = 2.62144 X 10^5 

you passed 5 values so you put 5 in exponent form.


7 0
3 years ago
Read 2 more answers
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