An account has a principal of $300 and a simple interest rate of 3.9%. The table shows the simple interest earned and the new account balance for 3 and 5 years

Complete this table for the 8th year
Time (years)
3,5,8
Simple interest earned($)
35.10
58.50
(Blank)
New account balance ($)
335.10
358.50

Answer:

Fraction form:

x = 1/2

Decimal form:

x = 0.5

Graph:

Answer:

x=1/2 or x=0.5

Step-by-step explanation:

4x+1=3

1. subtract 1 from each side

4x=2

2. divide by 4

x=1/2 or x=0.5

Hope this helps have a great day!!!!

Answer:

3/20

Step-by-step explanation:

Given:

Probability that it is Monday and that a student is absent is 3/100

Probability that a randomly selected day of the school week is monday is 1/5

To Find:

What is the probability that a student is absent given that today is Monday.

Solve:

It may be different if it were on a Wednesday. Because we expect fewer absentees on Wednesday than on Monday/ Friday. In these cases the conditional probability, P(absent/weekday) would differ depending on the day of the week.

3/100 ÷ 1/5 = 3/20

The probability that a student is absent on a Monday is 3/20

[RevyBreeze]

Answer:

54

Step-by-step explanation:

24+24+6

8x6 / 2 = 48/2 = 24

4x6=24

3x4 / 2 = 12/2 =6

Answer:

[tex]6[/tex]

Step-by-step explanation:

[tex]7+8=15[/tex]

[tex]15+3=18[/tex]

[tex]18+4=22[/tex]

[tex]22+8=30[/tex]

[tex]30[/tex] ÷ [tex]5[/tex] [tex]=6[/tex]

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{Formula \rightarrow \mathtt{\dfrac{sum\ of\ all\ your\ terms}{total \ number \ you \ have\ in\ your\ data} = mean} }[/tex]

[tex]\textsf{Your equation should look like}\rightarrow\mathtt{\dfrac{7 + 8 + 3 + 4 + 8}{5} = mean}[/tex]

[tex]\textsf{Now let us solve for it}[/tex]

[tex]\mathtt{\dfrac{7 + 8 + 3 + 4 + 8}{5} = mean}[/tex]

[tex]\mathtt{\dfrac{15 + 3 + 4 + 8}{5} = mean}}[/tex]

[tex]\mathtt{\dfrac{22 + 8}{5} = mean}}[/tex]

[tex]\mathtt{\dfrac{30}{5} = mean}}[/tex]

[tex]\mathtt{6 = mean}[/tex]

[tex]\huge\text{Therefore your answer should be:}[/tex]

[tex]\huge\boxed{\mathtt{6}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

option 4

Step-by-step explanation:

using the sine/ cosine ratios in the right triangle and the exact values

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , sin30° = [tex]\frac{1}{2}[/tex] , then

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{20\sqrt{3} }[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2x = 20[tex]\sqrt{3}[/tex] × [tex]\sqrt{3}[/tex] = 20 × 3 = 60 ( divide both sides by 2 )

x = 30

and

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{20\sqrt{3} }[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2y = 20[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

y = 10[tex]\sqrt{3}[/tex]

Division is the process of finding the number of times a number is multiplied by itself. The 16-ounce container is the better buy.

The division is the process of finding the number of times a number is multiplied by itself.

The prices of the different size containers are given to us,

4-5 ounce containers for $5. 00

1-12 ounce container for $3. 24

1-16 ounce container for $4. 19

Now, find the cost of the cheese per ounce when we buy the minimum cheese and when we but the maximum amount of cheese.

1.   For the first Container, 4-5 ounce containers for $5.00

If we buy 4 ounces of cheese, then the cost of each ounce of cheese will be $1.25 for each ounce, while if we buy the maximum amount of cheese therefore 5 ounces for $5 then the cost of each ounce of cheese will be $1.

2.  For, the second container, 1-12 ounce container for $3.24

If we buy 1 ounce of cheese, then the cost of each ounce of cheese will be $3.24 for each ounce, while if we buy the maximum amount of cheese therefore 5 ounces for $5 then the cost of each ounce of cheese will be $0.27.

3.  For, the third container, 1-16 ounce container for $4.19.

If we buy 1 ounce of cheese, then the cost of each ounce of cheese will be $4.19 for each ounce, while if we buy the maximum amount of cheese therefore 16 ounces for $4.19 then the cost of each ounce of cheese will be $0.26.

Thus, if we buy the maximum amount of cheese from each of the boxes, the third box will be the cheapest.

Hence, The 16-ounce container is the better buy.

Learn more about Division:

https://brainly.com/question/369266

Answer:

360g

Step-by-step explanation:

9 = 540g

divide both sides by 9

1 = 60g

multiply both sides by 6

6 = 360g

Answer:

The answer is 360 g

Step-by-step explanation:

Here, we know that mass of 9 chocolate bars is 540 g

so, for mass of one chocolate bar divide 540 by 9 we get,

540 g ÷ 9 = 60 g

Here, The mass of each chocolate bar is 60 g.

Now, for mass of 6 chocolate bar multiply by 60 by 6 we get,

60 g × 6 = 360 g

Thus, The mass of 6 such chocolate bars is 360 g.

-TheUnknownScientist 72

Answer:

1/6

Step-by-step explanation:

Since it's a OR statement, find a probability of each event and add

Another way would be count the ones that give u the sum of 4 and 10 which I got 6.

Total number of outcomes is 36.

So 6/36 = 1/6

Answer:

760660.638388
Rounded: 760660.64

Step-by-step explanation:

You can use an exponential function. that would be a(b)^x or 25000(1.05)^x

From 1945 to 2015 there is a 70-year gap, so you would substitute 70 for x. That would get you 760660.638388, so in 2015, the value of the land would be 760660.64 if you round up.

Answer: $760,660.64

Step-by-step explanation:

Just did the test

Answer:

A=54

Step-by-step explanation:

The probability of choosing a hot dog is 16.7%

Probability is the likelihood or chance that an event will occur

Probability = Expected outcome/Total outcome

From the figure;

Total outcome = 4 + 6 + 2
Total outcome = 12

Since there are 2 hotdogs, hence the probability of choosing a hot dog is given as:

Pr(hot dog) = 2/12

Pr(hot dog) = 0.1667
Hence the probability of choosing a hot dog is 16.7%

Learn more on probability here: https://brainly.com/question/24756209

Answer:

Step-by-step explanation:

Hope this helped.

A brainliest is always appreciated.

Answer:

Step-by-step explanation:

In similar triangles, corresponding parts are in same ratio.

[tex]\dfrac{h}{40}=\dfrac{5}{8}\\\\\\h=\dfrac{5}{8}*40\\\\\\ = 5*5\\\\h = 25 \ ft[/tex]

Answer:

[tex] \frac{1}{1.5} [/tex]

Step-by-step explanation:

Let B represent Bill age

A be adam age

C be charlie age

We know that

[tex]b = 2a[/tex]

We also know that

[tex]c = b - 3[/tex]

And we know that

[tex]a + b + c = 27[/tex]

Fist let subsitue c for b-3

[tex]a + b + (b - 3) = 27[/tex]

[tex]a + 2b - 3 = 27[/tex]

[tex]a + 2b = 30[/tex]

We know that b=2a so

[tex]a + 2(2a) = 30[/tex]

[tex]a + 4a = 30[/tex]

[tex]5a = 30[/tex]

[tex]a = 6[/tex]

Plug that in first equation to solve for b

[tex]b = 2(6)[/tex]

[tex]b = 12[/tex]

Finally plug that in the final equation to solve for c.

[tex]6 + 12 + c = 27[/tex]

[tex]c = 9[/tex]

Know we want the ratio of Adam age, a to Charlie age, c.

So we have

[tex] \frac{6}{9} = \frac{2}{3} = \frac{1}{1.5} [/tex]

Answer: (-14, 18)

Step-by-step explanation:

Answer:

13 cm

Step-by-step explanation:

The triangle perimeter size does not change because all the components rotate and reflect together.

Answer:

The set of all the possible outcomes is called the sample space of the experiment

Answer:

Addition → 23

Since 29 is a prime number and does not have least common factors beside itself and 1, there is only addition here, which would be 23 + 6.

Answer:

174

Step-by-step explanation:

If y/6 is 29, we need to do an inverse operation to find Y.

The inverse operation of division is multiplication.

29*6=174

Meaning, we've found y! Y=174

How to check?

174/29=6.

I hope this helped :D

Answer:

the answer is 24

Step-by-step explanation:

1/12 turns into 2/24 because they both equal 0.083

3/8 turns into 9/24  because they both equal 0.375

Answer:

If there are any repeating X values, it is not a function. Therefore, B is a function.

Answer:

$35.00

Step-by-step explanation:

Step 1: Multiply 30 by 50.

Step 2: Divide 1500 by 100.

Step 3: Subtract 15 from 50.

Answer:

35 dollars.

Step-by-step explanation:

The easiest way of calculating discount is, in this case to multiply the normal price is $50 by 30 then divide it by 100. So, the discount is equal to $15. To calculate the sales price, simply deduct the discount of $15 from the original price $50 then get $35 as the sales price.

Answer:

A=70

Step-by-step explanation:

[tex]A=\frac{a+b}{2}[/tex]

[tex]h=\frac{6+8}{2} *10[/tex]

[tex]=70[/tex]

Answer:

3+x=8

subtract 3 from both sides 3-3+x=8-3

so 3-3=0 and8-3 =5

now you have x=5

Answer:

The answer is 3 5/6

Hope this helps

Answer: 3 5/6

Step-by-step explanation: 2 1/6 = 13/6 since 2 is just 6/6 2 times so 6x2=12 + 1 since its 1/6 so than 13/6+ 1 2/3 or 5/3 = 23/6 numerator becomes 6 since its bigger than 5 now convert it back down to a whole numer/simplifed = 3 5/6

Answer:

22 degrees

Step-by-step explanation:

158 x 2 is 316

360 - 316 = 44

44 / 2 = 22

and both are the same angles for each set of angles.

Answer:

The top left one is a pentagon, the lower left is a quadrilateral, the top right is a rhombus, and the bottom left is a parallelogram.

Step-by-step explanation:

Answer:

From left to right:

pentagon

quadrilateral

rhombus

parallelogram

Step-by-step explanation:

From left to right:

First polygon:

5 sides, pentagon. This pentagon has two sets of congruent sides, but there is no special name for it.

Second polygon:

4 sides, quadrilateral. This quadrilateral has 3 congruent sides, but there is no special name for it.

Third polygon:

4 sides, quadrilateral. All sides are congruent. It is a rhombus. A rhombus is also a parallelogram.

Fourth polygon:

4 sides, quadrilateral. There are two pairs of congruent sides. It is a parallelogram.

Answer:

area = 9x12/2 =54

answer is 54cm²

Answer:

vertical because adjacent means right next to each other and x=49

Step-by-step explanation:

The angles that are alternate exterior angles with angle 5 are <3 and <13 and <9

Alternate exterior angles are two angles that are on the exterior of and , but on opposite sides of the transversal

Conversely,  if two lines are cut by a transversal and the alternate exterior angles are congruent, then the lines are parallel.

According to the theorem above, we can conclude that the angles that are alternate exterior angles with angle 5 are <3 and <13 and <9

Learn more on alternate exterior here: https://brainly.com/question/11397920