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Jobisdone [24]
3 years ago
15

Peyton invested \$1700$1700 in an account that pays 3.5% interest compounded annually. Assuming no deposits or withdrawals are m

ade, find how much money Peyton would have in the account 15 years after her initial investment. Round to the nearest tenth (if necessary).
Mathematics
1 answer:
Rufina [12.5K]3 years ago
3 0

Based on the amount Peyton invested, and the interest rate, the amount in the account 15 years later would be <u>$2,848.09. </u>

<h3 /><h3>How much would be in the account after 15 years?</h3>

The amount in the account after 15 years would be:

= Amount x ( 1 + rate) ^ number of years

Solving gives:

= 1,700 x ( 1 + 3.5%)¹⁵

= $2,848.09

Find out more on future value at brainly.com/question/24978019.

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What number is midway between 2/3 and 1?
natita [175]
5/6.

1-2/3=1/3.

(1/3)/2=1/6.

2/3+1/6=5/6.
4 0
3 years ago
Read 2 more answers
find the probability exactly 3 successes in 6 trials of a binomial experiment in which the probability of success if 50%. round
Dennis_Churaev [7]

Answer:

Hence, the probability of exactly 3 successes in 6 trials of a binomial experiment round to the nearest tenth of a percent is:

31.2%

Step-by-step explanation:

The probability of getting exactly k successes in n trials is given by the probability mass function:



{\displaystyle P(k;n,p)=P(X=k)={\binom {n}{k}}p^{k}(1-p)^{n-k}}

Where p denotes the probability of success.

We are given that  the probability of success if 50%.

i.e. p=\dfrac{1}{2}

also form the question we have:

k=3 and n=6.

Hence the probability of exactly 3 successes in 6 trials is:


{\displaystyle P(3;6,\dfrac{1}{2})=P(X=3)={\binom {6}{3}}(\dfrac{1}{2})^{3}(1-\dfrac{1}{2})^{6-3}}


{\displaystyle P(3;6,\dfrac{1}{2})=P(X=3)={\binom {6}{3}}(\dfrac{1}{2})^{3}(\dfrac{1}{2})^{3}}

{\displaystyle P(3;6,\dfrac{1}{2})=P(X=3)={\binom {6}{3}}(\dfrac{1}{2})^{6}

\binom {6}{3}=20

Hence,

{\displaystyle P(3;6,\dfrac{1}{2})=P(X=3)=20\times (\dfrac{1}{2})^6=\dfrac{5}{16}

In percentage the probability will be:

\dfrac{5}{16}\times 100=31.25\%=31.2\%



8 0
3 years ago
Put the verbs in brackets into
ANEK [815]

Answer:

i hope u have a good day

Step-by-step explanation:

6 0
3 years ago
(r^3+6r^2-21r-18) ÷ (r-3)<br><br> Show in Synthetic Division
Kipish [7]

Answer:

r² + 9r + 6

Step-by-step explanation:

+3|  +1    +6   -21   -18

   |<u>         +3   +27  +18</u>  

      +1    +9    +6     0

Answer:

=1r² +9r + 6 + 0

=r² +9r + 6    (simplified)

Read on if you want to know how it was done.

To do synthetic division, you first need to get the constant of the divisor and change the sign.

Then list the coefficients of the dividend.

Drop the first coefficient.

Multiply it by the divisor, and write the answer under the next coefficient and add. Repeat till the end.

The answer should be one degree less, the original polynomial.

8 0
3 years ago
Read 2 more answers
What is the solution to this system of equations?
77julia77 [94]

Answer:

(x,y) = (3, 1/2)

Step-by-step explanation:

This pair of linear equations may be solved simultaneously by using the elimination method. This will involve ensuring that the coefficient of one of the unknown variables is the same in both equations..

To solve this, add the equations;

x + 2x + 2y - 2y = 4 + 5

3x = 9

x = 3

substitute the value of x into the first equation,

3 + 2y = 4

2y = 4 -3

2y = 1

y = 1/2

6 0
3 years ago
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