Find the simple interest on $6570 at 9.5%

Can someone help me to find length CD

uysha [10]

Answer:

CD = 3.602019190339

Step-by-step explanation:

CD = DA - CA

DA = DB×Cos(29) = 18.7×cos(29) = 16.355388523507

BA = BA×cos(43) = 18.7×cos(43) = 13.676314220278

CA = BA÷tan(47) = 13.676314220278÷tan(47) = 12.753369333168

Then

CD = 16.355388523507 - 12.753369333168 = 3.602019190339

7 0

3 years ago

If y varies inversely as x and y=3 when x=14, find x when y=6

alukav5142 [94]

X=7 What you can do is look at the first two values given, and make them x1 and y1. Then your next value here is y2.

So x1 is 14, and y1 is 3. y2 becomes 6. X2 is unknown.

Then make the formula: x1/y2 is equal to x2/y1
(You are setting two fractions equal to each other)

That makes 14/6=X/3. When we cross multiply, we find that x=7.

3 0

2 years ago

6.

larisa86 [58]

A. Every month Population will increase by a factor of 0.84%.

B. Every 3 months Population will increase by a factor of 2.5%.

C. Increase in population in every 20 months is 10% + 6.72% = 16.72%.

<u>Step-by-step explanation:</u>

Here, we have number of employees in a company has been growing exponentially by 10% each year. So , If we have population as x in year 2019 , an increase of 10% in population in 2020 as $x + \frac{x}{100}\times10$ which is equivalent to $\frac{11x}{10}$ .

For each month: We have 12 months in a year and so, distributing 10% in 12 months would be like $\frac{10}{12} = 0.84$ . ∴ Every month Population will increase by a factor of 0.84%.

In every 3 months: We have , 12 months in a year , in order to check for every 3 months $\frac{12}{3} = 4$ and Now, Population increase in every 3 months is $\frac{10}{4} = 2.5$ . ∴ Every 3 months Population will increase by a factor of 2.5%.

<u>C.</u>

In every 20 months: We have , 12 months in a year in which increase in population is 10% . Left number of moths for which we have to calculate factor of increase in population is 20-12 = 8. For 1 month , there is 0.84% increase in population ∴ For 8 months , 8 × 0.84 = 6.72 %.

So , increase in population in every 20 months is 10% + 6.72% = 16.72%.

5 0

3 years ago

A coin is tossed twice. What is the probability of getting a tail in the first toss and a tail in the second toss?

skelet666 [1.2K]

Answer:

<h2>1/4 Chances</h2><h2>25% Chances</h2><h2>0.25 Chances (out of 1)</h2>

Step-by-step explanation:

Two methods to answer the question.

Here are presented to show the advantage in using the product rule given above.

<h2>Method 1:Using the sample space</h2>

The sample space S of the experiment of tossing a coin twice is given by the tree diagram shown below

The first toss gives two possible outcomes: T or H ( in blue)

The second toss gives two possible outcomes: T or H (in red)

From the three diagrams, we can deduce the sample space S set as follows

S={(H,H),(H,T),(T,H),(T,T)}

with n(S)=4 where n(S) is the number of elements in the set S

tree diagram in tossing a coin twice

The event E : " tossing a coin twice and getting two tails " as a set is given by

E={(T,T)}

with n(E)=1 where n(E) is the number of elements in the set E

Use the classical probability formula to find P(E) as:

P(E)=n(E)n(S)=14

<h2>Method 2: Use the product rule of two independent event</h2>

Event E " tossing a coin twice and getting a tail in each toss " may be considered as two events

Event A " toss a coin once and get a tail " and event B "toss the coin a second time and get a tail "

with the probabilities of each event A and B given by

P(A)=12 and P(B)=12

Event E occurring may now be considered as events A and B occurring. Events A and B are independent and therefore the product rule may be used as follows

P(E)=P(A and B)=P(A∩B)=P(A)⋅P(B)=12⋅12=14

NOTE If you toss a coin a large number of times, the sample space will have a large number of elements and therefore method 2 is much more practical to use than method 1 where you have a large number of outcomes.

We now present more examples and questions on how the product rule of independent events is used to solve probability questions.

8 0

2 years ago

Read 2 more answers

An average of 20 pears were sold from Monday to Friday. After the sales on Saturday and Sunday, the average pears sold per day w

Fittoniya [83]

Answer:

5 pears

Step-by-step explanation:

Given that

The average of 20 pears were sold from Monday to Friday

But after the sales on Saturday and Sunday, the average pears sold per day were increased to 25

We need to determine the number of pears sold on Saturday and sunday

So, it is

= 25 pears - 20 pears

= 5 pears

4 0

3 years ago