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3 years ago

14

How much interest will be paid in 2 years for a loan of $1500 at 8.25% simple interest ?

1 answer:

uysha [10]3 years ago

3 0

$8.25\%=0.0825\\\\0.0825\cdot\$1500=\$123.75-after\ the\ one\ year\\\\\$1500+123.75\$=\$1623.75\\\\0.0825\cdot\$1623.75=\$133.96-after\ the\ second\ year\\\\\$123.75+\$133.96=\$257.71-answer$

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How do i answer this and how do i find the modal

faltersainse [42]

So firsty up, you need to have equal denominators IN order to do this equation.

1/3 and 5/12..

3x4=12

So the rule when changing denominators, you multiply 4 intop, so it will become 4/12, and 5/12 + 4/12 = 8/12, and,

8/12 + 1/12= 9/12 and 9/12 simplified is 3/4..

So the answer is 3/4.

Hope this helped.

3 0

3 years ago

A food-packaging apparatus underfills 10% of the containers. Find the probability that for any particular 10 containers the numb

Maksim231197 [3]

Answer:

a) $P(X = 1) = 0.38742$

b) $P(X = 3) = 0.05740$

c) $P(X = 9) = 0.00000$

d) $P(X \geq 5) = 0.00163$

Step-by-step explanation:

For each container, there are only two possible outcomes. Either it is undefilled, or it is not. This means that we can solve this problem using the binomial probability distribution.

Binomial probability distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem

There are 10 containers, so $n = 10$ .

A food-packaging apparatus underfills 10% of the containers, so $p = 0.1$ .

a) This is P(X = 1)

$P(X = 1) = C_{10,1}.(0.1)^{1}.(0.9)^{9} = 0.38742$

b) This is P(X = 3)

$P(X = 3) = C_{10,3}.(0.1)^{3}.(0.9)^{7} = 0.05740$

c) This is P(X = 9)

$P(X = 9) = C_{10,9}.(0.1)^{9}.(0.9)^{1} = 0.00000$

d) This is $P(X \geq 5)$ .

Either the number is lesser than five, or it is five or larger. The sum of the probabilities of each event is decimal 1. So:

$P(X < 5) + P(X \geq 5) = 1$

$P(X \geq 5) = 1 - P(X < 5)$

In which

$P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{10,0}.(0.1)^{0}.(0.9)^{10} = 0.34868$

$P(X = 1) = C_{10,1}.(0.1)^{1}.(0.9)^{9} = 0.38742$

$P(X = 2) = C_{10,2}.(0.1)^{2}.(0.9)^{8} = 0.1937$

$P(X = 3) = C_{10,3}.(0.1)^{3}.(0.9)^{7} = 0.05740$

$P(X = 4) = C_{10,4}.(0.1)^{1}.(0.9)^{9} = 0.38742$

So

$P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.34868 + 0.38742 + 0.19371 + 0.05740 + 0.01116 = 0.99837$

Finally

$P(X \geq 5) = 1 - P(X < 5) = 1 - 0.99837 = 0.00163$

3 0

3 years ago

Based on the figure, select all true equations.

Svetlanka [38]

Answer:

nose pero me entiende n verdad

5 0

2 years ago

Find the arc length (to the nearest inch) of the sector of a circle with a radius 14 inches and a central angle of 0=108°

forsale [732]

Length of arc=angleO/360×2pi×r
=108/360×22/7×14×14
=3/10×22×2×14
=66×2×14/10
=1848/10
=184.8inches

4 0

3 years ago

What is the area, in yards, of<br>a box thats 38 feet wide by<br>15 feet<br> long?

pshichka [43]

Answer:

570

step-by-step explanation:

assuming you're talking about a 2-dimensional rectangle,

Area = base x height

base = 38

width = 15

Area = 38 * 15

Area = 570 ft

570ft * (1 yard/3ft) = 190 yards

6 0

2 years ago

Read 2 more answers