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3 years ago

12

Big Money Bank has an offer for new customers: if you deposit $5,000 in a savings account, you will earn 6.5% simple interest ov

er the first 10 years.
How much interest will the account earn over this period?

1 answer:

ipn [44]3 years ago

7 0

Answer:

3250

Step-by-step explanation:

Multiply 5,000 times 6.5 percent

5000 X 6.5% = 3250

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Ship collisions in the Houston Ship Channel are rare. Suppose the number of collisions are Poisson distributed, with a mean of 1

alexandr1967 [171]

Answer:

$a) \simeq 0.3012$ $b) \simeq 0.0494$ c) $\simeq 0.2438$

Step-by-step explanation:

Rate of collision,

1.2 collisions every 4 months

or, $\frac{1.2}{4}$

= 0.3 collisions per month

So, the Poisson distribution for the random variable no. of collisions per month (X) is given by,

P(X =x) = $\frac{e^{-\lambda}\times {\lambda}^{x}}}{x!}
$

for x ∈ N ∪ {0}

= 0 otherwise --------------------------------------(1)

here, $\lambda = 0.3$ collision / month

No collision over a 4 month period means no collision per month or X =0

Putting X = 0 in (1) we get,

P(X = 0) = $\frac{e^{-0.3}\times {\0.3}^{0}}{0!}
$

$\simeq 0.7408182207$ ------------------------------------(2)

Now, since we are calculating this for 4 months,

so, P(No collision in 4 month period)

= $0.7408182207^{4}$

$\simeq 0.3012$ -----------------------------------------------------------(3)

2 collision in 2 month period means 1 collision per month or X =1

Putting X =1 in (1) we get,

P(X =1) = $\frac{e^{-0.3}\times {\0.3}^{1}}{1!}
$

$\simeq 0.2222454662$ ------------------------------------(4)

Now, since we are calculating this for 2 months, so ,

P(2 collisions in 2 month period)

= $0.2222454662^{2}$

$\simeq 0.0494$ -----------------------------------------(5)

1 collision in 6 months period means

$\frac{1}{6}$ collision per month

Now, P(1 collision in 6 months period)

= P( X = 1/6] (which is to be estimated)

= $\frac {P(X=0)\times 5 + P(X =1)\times 1}{6}$

= \frac {0.7408182207 \times 5 + 0.2222454662 \times 1}{6}[/tex]

$\simeq 0.6543894283$ -------------------------------------------(6)

So,

P(1 collision in 6 month period)

= $0.6543894283^{6}$

$\simeq 0.0785267444$ ------------------------------------------------(7)

So,

P(No collision in 6 months period)

= $(P(X =0)^{6}$

$\simeq 0.1652988882$ ---------------------------------(8)

so,

P(1 or fewer collision in 6 months period)

= (8) + (7 ) = 0.0785267444 +0.1652988882

$\simeq 0.2438$ ---------------------------------------------(9)

7 0

2 years ago

A cylinder’s volume can be calculated by the formula V=pir^2h , where V stands for volume, R for the base radius and H for the c

sasho [114]

Answer:

Step-by-step explanation:

Formula

V pi * r^2 * h

Givens

r = 3 m

h = 6 m

pi = 3.14 when used.

Solution

V = pi r^2 * h

V = pi * 3^2 * 6

V = 9 * 6 * pi

V = 54 * pi Volume in terms of pi

V = 54*3.14 Volume using a value for pi

V = 169.56 to the hundred's place.

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2 years ago

Joyce goes walking on a track shaped like the solid line in the diagram shown. Find the total area enclosed by the track.

Agata [3.3K]

The area for the enclosed area is 210

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3 years ago

Is the following number rational or irrational? Choose the appropriate reason. PA N. 1.4 7+ V5 Rational, because it is the sum o

sveticcg [70]

Answer:

u need to give more points for thouse kind of questions

Step-by-step explanation:

3 0

2 years ago

4. A stack of playing cards contains 4 jacks, 5 queens, 3 kings, and 3 aces. Two cards will be randomly selected from the stack.

svet-max [94.6K]

<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ 5 + 3 + 3 + 4 = 15

5/15 * 5/15 = 25/225

This can be simplified to 1/9

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

5 0

3 years ago

Read 2 more answers