Sara Blake's grandmother gave her $3000.00 to save for college. She put it in a savings account that earns 6% interest per year. The money was in the account for 8 years. How much simple interest did she earn?

Answer:

[tex]\large\boxed{\begin{array}{c|c|c|c}Length:&4cm&2cm&8cm\\Width:&6cm&12cm&3cm\\Height:&9cm&9cm&9cm\end{array}}[/tex]

Step-by-step explanation:

The formula of a volume of a cube with side length a:

[tex]V=a^3[/tex]

We have a = 6cm. Substitute:

[tex]V=6^3=216\ cm^3[/tex]

[tex]\begin{array}{c|c}216&2\\108&2\\54&2\\27&3\\9&3\\3&3\\1\end{array}[/tex]

[tex]216=2\cdot2\cdot2\cdot3\cdot3\cdot3=(2\cdot2)\cdot(2\cdot3)\cdot(3\cdot3)=4\cdot6\cdot9\\\\216=2\cdot2\cdot2\cdot3\cdot3\cdot3=2\cdot(2\cdot2\cdot3)\cdot(3\cdot3)=2\cdot12\cdot9\\\\216=2\cdot2\cdot2\cdot3\cdot3\cdot3=(2\cdot2\cdot2)\cdot3\cdot(3\cdot3)=8\cdot3\cdot9\\\vdots[/tex]

Answer:

(x,y)=(2,8)

Step-by-step explanation:

-6x = -4 -y

-7x = -22 +y

Rearranging the above equations

-6x +y +4 =0 => eq(1)

-7x -y +22 =0 => eq(2)

Adding eq(1) and eq(2)

-6x +y +4 =0

-7x -y +22 =0

___________

-13 x +26 =0

-13x = - 26

x= -26/-13

x= 2

Putting value of x in eq (1)

-6(2) + y +4 =0

-12 +y+4 =0

y-8=0

y=8

So, values of x and y are 2 and 8

(x,y)=(2,8)

Answer:

Step-by-step explanation:

Percent decrease =

(difference in prices)/(original price) × 100

(2.89 - 2.82)/2.89 × 100

= (0.07)/2.89 ×100 ≈ 2.4%

The price of unleaded gas has increased by 2.2% from yesterday to today. This percentage was calculated by finding the price increase ($0.06), dividing it by yesterday’s price ($2.79), and multiplying by 100. The result was then rounded to the nearest tenth of a percent.

To find the percentage increase in the price of a gallon of unleaded gas, you first need to find the difference in the price. In this case, today's price is $2.85 and yesterday's price was $2.79, so the difference is $2.85 - $2.79 = $0.06.

Then, to find the percentage increase, you divide this difference by the original price (which is yesterday's price) and multiply by 100 to turn it into a percentage. So, percentage increase = ($0.06 / $2.79) * 100 = 2.15053.

Finally, you round this to the nearest tenth of a percent, which gives you 2.2%. So, the price of unleaded gas has increased by 2.2% from yesterday to today.

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For this case we must find the unit cost of juice box of each option and compare:

Option A: 2 juice boxes for $ 0.66

[tex]\frac {0.66} {2} = 0.33 \frac {dollars} {box}[/tex]

Option B: 6 juice boxes for $ 1.92

[tex]\frac {1.92} {6} = 0.32 \frac {dollars} {box}[/tex]

Option C: 9 juice boxes for $ 2.97

[tex]\frac {2.97} {9} = 0.33 \frac {dollars} {box}[/tex]

Option D: 12 juice boxes for $ 4.20

[tex]\frac {4.20} {12} = 0.35 \frac {dollars} {box}[/tex]

The most feasible option is B. That is, buy 6 boxes for $1.92

Answer:

Option B

Answer: Option A: 2 juice boxes for $ 0.66Option B: 6 juice boxes for $ 1.92Option C: 9 juice boxes for $ 2.97Option D: 12 juice boxes for $ 4.20The most feasible option is B. That is, buy 6 boxes for $1.92

Step-by-step explanation:

Answer

B is the answer to this question

Answer:

D=2162 or answer B

Step-by-step explanation:

1.) C=Dpi

2.)6790=D pi

3.)6790/pi = D pi/pi

4.) D= 2161.32412719

5.) D=2162

Answer:

62°

Step-by-step explanation:

The 2 shown angles form a straight angle and sum to 180°, that is

7x + 20 + 4x + 6 = 180

11x + 26 = 180 ( subtract 26 from both sides )

11x = 154 ( divide both sides by 11 )

x = 14

the acute angle = 4x + 6 = (4 × 14) + 6 = 56 + 6 = 62°

Answer:the answer is 10 min hope this helped:)

Step-by-step explanation:

the answer is 6 minutes

Answer:

7

Step-by-step explanation:

The left hand limit is when we approach zero from left. We use the function on this domain in finding the limit.

[tex]\lim_{x \to 0^-} f(x)=7-x^2[/tex]

[tex]\lim_{x \to 0^-} f(x)=7-(0)^2=7[/tex]

The right hand limit is

[tex]\lim_{x \to 0^+} f(x)=10x+7[/tex]

[tex]\lim_{x \to 0^+} f(x)=10(0)+7=7[/tex]

Since the left hand limit equals the right hand limit;

[tex]\lim_{x \to 0} f(x)=7[/tex]

Answer: FIRST OPTION.

Step-by-step explanation:

To know which is the solution set given the inequality [tex]3x < -6[/tex] you need to solve for the variable "x".

You must divide both sides by 3:

[tex]3x < -6\\\\\frac{3x}{3}=\frac{-6}{3}[/tex]

Therefore, you get:

[tex]x<-2[/tex]

Then, the solution set is the following:

{[tex]x | x < -2[/tex]}

You can observe that this solution set matches with the first option.

Answer: First option

Step-by-step explanation:

To divide fractions you flip the second fractions and multiply.

9/18 divided by 3/6 becomes -> 9/18 x 6/3

9 x 6 -> 54

18 x 3-> 54

your answer would simplify to 1.

Answer: 1

Step-by-step explanation: 9/18 =0.5 or one half, and 3/6=0.5 or one half, and one half divided by one half equals one 1/2 / 1/2 = 1

Answer:

C(x) = 2

Step-by-step explanation:

The graph of the average cost is shown in the attached image.

Note that, as is to be expected, when the number of booklets produced x increases, then the average cost per booklet decreases.

To calculate the expected cost of producing a booklet when x is very large, look at the graph.

Note that when x = 2 then the average cost is equal to 4, then when x = 5 the average cost is 2.5.

In this way, the bigger x is made, the more the cost approaches 2.

Therefore it can be said that

[tex]\lim_{x \to \infty}C(x)= 2[/tex]

Finally, the expected average cost when the number of booklet  produced is very large is C (x) = 2

Answer:

So,  the experimental probability of tossing heads using lynn and dawn's results is 2/5

Step-by-step explanation:

No of times the coin is tossed = 30

No of times head came = 12

Probability of tossing heads = No of times head came / No of times the coin is tossed

                                              = 12/30

                                              = 4/10

                                              = 2/5

So,  the experimental probability of tossing heads using lynn and dawn's results is 2/5

B, because a rational number is a number that goes on forever. Ex : pi

Find the vertex: -4x^2 + 16x - 7​

Vertex = ( x, f(x)).

x = -b/2a

x = -16/2(-4)

x = -16/-8

x = 2

f(x) = -4x^2 + 16x - 7

Let x = 2

f(2) = -4(2)^2 + 16(2) - 7

f(2) = -4(4) + 32 - 7

f(2) = -16 + 32 - 7

f(2) = 16 - 7

f(2) = 9

Vertex = (2, 9)

The volume is 45 I think

The cylinder shown has a volume of 90 cubic units. The cone and the cylinder have the same height and the same base. The volume of the cone will be 30 cubic units.

It is defined as the three-dimensional shape in which the base is a circular shape and if we go from circular base to top the diameter of the circle reduces and at the vertex, it becomes almost zero.

Given:

The volume of the cylinder= 90 cubic units

The volume of the cylinder=πr²h

90 cubic units=πr²h

The volume of a cone is;

[tex]\rm V= \frac{1}{3} \pi r^2h \\\\ V=\frac{1}{3} \times 90 \ cubic units \\\\ V=30 \ cubic \ units[/tex]

Hence, the volume of the cone will be 30 cubic units.

To learn more about the cone, refer to the link;

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Answer:

Step-by-step explanation:

The angle at E is 90 degrees.

All tangents of a circle always meet the radius at a 90 degree angle.

90 + 67 + G = 180o    All triangles have 180 degrees. Combine left.

157 + G = 180o           Subtract 157 from both sides.

157 - 157 + G + 180 - 157

G = 23

Answer: x=15/8

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

1/2 x+(3/2)(x)+ (3/2)(1) + −1/4 =5(Distribute)

Then, Combine like terms:

(1/2x + 3/2x) +(3/2 + −1/4) =5(Combine Like Terms)

Which you will get : 2x+ 5/4 =5

Step 2: Subtract 5/4 from both sides.

2x+ 5/4 − 5/4 =5− 5/4

2x= 15/4

Step 3: Divide both sides by 2.

[tex]\frac{2x}{2}  = \frac{15/4}{2}[/tex]

x = 15/8 ← Answer

* Hopefully this helps: ) Mark me the brainliest:)!!

~ 234483279c20~

Answer:

If my parents are going to pay the 5%, then, they will pay: $2979.

I will need to save $62.06 each month to accomplish my goal.

Step-by-step explanation:

I'm going to a 4-year college that will cost $14895/year.

It means that I will need to pay: 14895*4 = $59.580

If my parents are going to pay the 5%, then, they will pay: $2979.

Now, if I want to save my total contribution for all four years, and I have four years to accomplish  the goal, then:

Then, if I have 4 years to pay it. It means I have 4*12 = 48 months.

Then I will need to save $2979./48 = $62.06 each month to accomplish my goal.

The student needs to pay $744.75 yearly, which is 5% of the annual college cost. To save this amount over four years, they need to save $62.06 each month for 48 months.

The student needs to calculate their contribution to the college expenses. First, we need to find 5% of the annual cost of $14,895.00 to determine the student's yearly contribution:

Yearly Contribution = $14,895.00 * 0.05 = $744.75 per year.

Next, to calculate the total contribution over four years:

Total Contribution = 4 * $744.75 = $2,979.00.

To save the total amount in four years, we divide the total contribution by the number of months in four years (48 months):

Monthly Savings = $2,979.00 / 48 = $62.06.

Therefore, the student needs to save $62.06 each month for 48 months to cover their share of college expenses.

Answer:

[tex]4.5\ yd[/tex]

Step-by-step explanation:

step 1

we know that

Jeremy uses 27 inches of board for each birdhouse

so

by proportion

Calculate how  many inches of board does he need to make 6 birdhouses

[tex]\frac{27}{1}\frac{in}{birdhouses}=\frac{x}{6}\frac{in}{birdhouses} \\ \\x=6*27\\ \\x=162\ in[/tex]

step 2

Convert inches to yards

[tex]1\ yd =36\ in[/tex]

[tex]162\ in=162/36=4.5\ yd[/tex]

Answer:

Answer:

4y

Step-by-step explanation:

step 1

we know that

Jeremy uses 27 inches of board for each birdhouse

so

by proportion

Calculate how  many inches of board does he need to make 6 birdhouses

step 2

Convert inches to yards

Step-by-step explanation:

Answer:

B) 7 cans

Step-by-step explanation:

First task is to determine how many square units we have.

With the rectangle spanning 2 units on the X-axis and 3 unites on the Y-axis, we know that it has an area of 6 square units.

The two triangle shapes sum up to one unit total, since a triangle's area is (base * height) / 2.  Both have a base of 1 unit, and a height of 1 unit... so  (1 * 1) / 2  = 1/2 for each triangle.  Together, they occupy 1 unit.

So, total is 7 square units. Let's imagine it as a 7-unit by 1-unit rectangle, it will be easier to calculate.  Each unit is 5 feet.  So, this rectangle measures 35 (7 * 5) feet long, by 5 (1 * 5) feet wide... for a total of 175 (35 * 5) sq feet.

Since a can of paint can cover 25 sq feet, he'll need 7 cans (175 / 25).

Answer:

The value of the mean reflects both the number and the value of cases. is false

Step-by-step explanation:

The incorrect statement about the mean is that it's pulled in the direction of the hump in a skewed distribution. In fact, the mean is influenced by every value in the data set, including outliers, and if a distribution is skewed, the mean is pulled towards the tail, not the hump.

The statement that is false about the mean is: 'The mean is pulled in the direction of the hump in a skewed distribution'. Rather, it's the median that stays closer to the 'hump' in a skewed distribution. The mean is affected by every value in the data set, including outliers. If a distribution is skewed, the mean will be pulled in the direction of the skew, which could be towards the tail, not the hump. For example, in a right-skewed distribution with values 1, 2, and 100, the mean would be 34.33, which is closer to the outlier (100) rather than the hump around 1 and 2.

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Check the picture below.

[tex]\bf \stackrel{\textit{area of triangles on the left}}{2\left[\cfrac{1}{2}(2)(3) \right]}+\stackrel{\textit{area of triangles on the right}}{2\left[\cfrac{1}{2}(4)(3) \right]}\implies 6+12\implies 18[/tex]

Answer:

reflexive property

Step-by-step explanation:

it equals the same

hope this helps :)

Correct. It is the reflexive property

Because it equals the same

B answer choice is always b

Answer:

  B. Maximum.

Explanation:

  The basic speed rules require drivers to adjust speed to the conditions. The Night speed limits usually begin 30 minutes after sunset and 30 minutes before sunrise. They are used for sectors in which the safety problems require a speed lower than the self-selected by drivers.

  I hope this answer helps you.

Answer:

[tex]\large\boxed{\dfrac{3}{4}<0.80}[/tex]

Step-by-step explanation:

[tex]\dfrac{3}{4}=0.75\\\\\text{therefore}\\\\\dfrac{3}{4}<0.89\ \text{is}\ \bold{TRUE}\\\\\dfrac{3}{4}>0.80\ \text{is}\ \bold{FALSE}\\\\\dfrac{7}{15}<\dfrac{1}{2}=0.50\ \text{because}\ \dfrac{7.5}{15}=\dfrac{1}{2}.\ \text{Therefore}\ \dfrac{7}{15}>0.50\ \text{is}\ \bold{FALSE}\\\\\dfrac{5}{7}>\dfrac{1}2{=0.50\ \text{because}\ \dfrac{3.5}{7}=\dfrac{1}{2}.\ \text{Therefore}\ 0.50>\dfrac{5}{7}\ \text{is}\ \bold{FALSE}[/tex]

A is the answer to this question

brainiest

Answer:

[tex]\large\boxed{\int\left(1+\dfrac{4}{3x-1}+\dfrac{3}{x+2}\right)\ dx=x+\dfrac{4}{3}\ln(3x-1)+3\ln(x+2)}[/tex]

Step-by-step explanation:

[tex]\large{\int}\normal\left(1+\dfrac{4}{3x-1}+\dfrac{3}{x+2}\right)\ dx=\int1\ dx+\int\dfrac{4}{3x-1}\ dx+\int\dfrac{3}{x+2}\ dx\\\\(1)\int1\ dx=x\\\\(2)\int\dfrac{4}{3x-1}\ dx\Rightarrow\left|\begin{array}{ccc}3x-1=t\\3dx=dt\\dx=\frac{1}{3}dt\end{array}\right|\Rightarrow\int\dfrac{4}{3t}\ dt=\dfrac{4}{3}\int\dfrac{1}{t}\ dt=\dfrac{4}{3}\ln(t)=\dfrac{4}{3}\ln(3x-1)\\\\(3)\int\dfrac{3}{x+2}\ dx\Rightarrow\left|\begin{array}{ccc}x+2=u\\dx=du\end{array}\right|\Rightarrow\int\dfrac{3}{t}\ dt=3\int\dfrac{1}{t}\ dt=3\ln(t)=3\ln(x+2)[/tex]

[tex]\Downarrow\\\\\int\left(1+\dfrac{4}{3x-1}+\dfrac{3}{x+2}\right)\ dx=x+\dfrac{4}{3}\ln(3x-1)+3\ln(x+2)[/tex]

Answer:

$7.50

Step-by-step explanation:

$2,760 is the total. 368 visited and paid the same price.

You'll need to divide 2760 by 368.

2760/368 = 7.5

$7.50 is the answer. Please mark brainliest.

Answer:

120 cm^2

Step-by-step explanation:

Area of trapezoid = [tex]\frac{1}{2} (a + b) h[/tex]

a - 6

b - 10

h - 15

[tex]\frac{1}{2} (6+10)15[/tex]

[tex]\frac{1}{2} (16)15[/tex]

[tex]\frac{1}{2} * 240[/tex][tex]\frac{240}{2}[/tex]

= 120 cm ^2

Answer: 120cm

Step-by-step explanation:

in e2020 its thanx for the answer mark me the brailiest pleaseeee;)

Answer: 34 more pouches

7 boxes - fish food; 1 box contained 6 pouches

Total amount of fish food is 7 × 6 = 42 pouches of fish food

2 packets - cat food; 1 packet contained 4 pouches

Total amount of cat food is 2 × 4 = 8 pouches

How many more pouches of fish food than cat food did Shelly buy?

42 pouches - 8 pouches = 34 pouches

Therefore there was 34 more pouches of fish food than cat food

ANSWER

E.

[tex]y = 2 \sin( \theta) - 3[/tex]

EXPLANATION

The parent function

[tex]y = \sin( \theta) [/tex]

can be shifted down by 3 units to obtain

[tex]y = \sin( \theta) - 3[/tex]

Also, when the basic sine function is stretched vertically by a factor of 2, the equation becomes,

[tex]y = 2 \sin( \theta) [/tex]

Therefore, a vertical shift down 3 units and stretch factor of 2 gives the equation:

[tex]y = 2\sin( \theta) - 3[/tex]

The correct choice is E.