Thabo opens an investment account and invest an amount of money at 8. 00% interest per year, compounded monthly. After a number of years, he has accumulated an amount of R 7 365. 00 in the account. The investment earned R2 000. 00 interest in this period. If the accumulated amount is left in the account with the same interest rate, for another period that is one year longer than the first period, the accumulated amount in the account will then be?
​

Answer:

(2v+3) (v^2+7)

Step-by-step explanation:

2v^3 + 3v^2 + 14v +21

v^2 (2v+3) + 7(2v+3)

= (2v+3) (v^2+7)

I think this is the correct answer from what I remeber, sorry if I may have it wrong.

The total amount Julio spent on a salad and a container of yogurt in the form of note and coin is equal to $6.38.

To determine how much Julio spent while buying  a salad and a container of yogurt, we have to multiply the value of each notes into their quantity then add all of them.

Number of 25 cents coins = 4

⇒ 4×0.25 = 1.00

Number of 5 dollar note = 1

⇒ 1×5 = 5.00

Number of 10 cents coins = 3

⇒ 3×0.10=0.30

Number of 1 cents = 3

⇒ 3×0.01=0.03

Number of 5 cents = 1

⇒ 1×0.05=0.05

Julio spent = 1.00 + 5.00 + 0.30 + 0.03 + 0.05

                  = $6.38

Therefore, the total amount Julio spent on a salad and a container of yogurt in the form of note and coin is equal to $6.38.

Learn more about multiply :

https://brainly.com/question/30875464

#SPJ1

The complete question is :

Julio buys a salad and a container of yogurt. These bills and coins shown in attached image represent the cost of each item. How much did Julio spend in all?

Answer:

lower quartile - 38

upper quartile - 59

maximum - 62

median - 46.5

minimum - 32

I hope this help. Have a great day!

The equation for the trigonometric graph given above is:

y = 4sin(2x + (π/2))

y = 4 cos 2x

It is to be noted that the domain value of θ  is displayed on the horizontal x-axis and the range value is depicted on the vertical y-axis in the graphs of trigonometric functions.

Note that

y = A Sin (Bx - C) + D

The vertical shift → D

Horizontal [Phase] shift → C/B

Wavelength [Period] →  (2/B) π

Amplitude → | A |

Vertical Shift → 0
Horizontal | Phase | Shift → C/B → [- (π/4)] → (-π/2/2)

Wavelength | Period | → (2/B)π → π → (2/2)π

Amplitude → 4

Hence, working the above further we get:

y = 4sin(2x + (π/2))

y = 4 cos 2x

Learn more about Trigonometric Graphs at:
https://brainly.com/question/22068269
#SPJ1

Answer(s):

\(\displaystyle y = 4sin\:(2x + \frac{\pi}{2}) \\ y = -4cos\:(2x \pm \pi) \\ y = 4cos\:2x\)

Step-by-step explanation:

\(\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{4}} \hookrightarrow \frac{-\frac{\pi}{2}}{2} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 4\)

OR

\(\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 4\)

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of \(\displaystyle y = 4sin\:2x,\)in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted \(\displaystyle \frac{\pi}{4}\:unit\)to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACKWARD \(\displaystyle \frac{\pi}{4}\:unit,\)which means the C-term will be negative, and by perfourming your calculations, you will arrive at \(\displaystyle \boxed{-\frac{\pi}{4}} = \frac{-\frac{\pi}{2}}{2}.\)So, the sine graph of the cosine graph, accourding to the horisontal shift, is \(\displaystyle y = 4sin\:(2x + \frac{\pi}{2}).\)Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph WILL hit \(\displaystyle [-1\frac{1}{4}\pi, 0],\)from there to \(\displaystyle [-\frac{\pi}{4}, 0],\)they are obviously \(\displaystyle \pi\:units\)apart, telling you that the period of the graph is \(\displaystyle \pi.\)Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at \(\displaystyle y = 0,\)in which each crest is extended four units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

Answer: I think it’s A). linear

Step-by-step explanation: linear is the process of something increasing or decreasing at a constant rate, in this case it would be the heat going down at a constant rate of 50 degrees every 10 minutes

The candy will be 2 feet in the air after approximately 0.19 seconds (to the nearest thousandth).

The answer closest to this value is option d, 0.625 seconds.

The equation to model the height of the candy thrown by Elmo is given by:

h = -16t^2 + 10t + 3

To find the time when the height of the candy is 2 feet,

We need to solve for t when h = 2:

2 = -16t^2 + 10t + 3

Expanding and rearranging the equation:

-16t^2 + 10t - (-1) = 0

Using the quadratic formula:

t = (-b ± √(b^2 - 4ac)) / 2a

Where a = -16, b = 10, and c = -1.

Plugging in the values:

t = (-10 ± √(10^2 - 4(-16)(-1))) / 2(-16)

t = (-10 ± √(100 + 64)) / (-32)

t = (-10 ± √(164)) / (-32)

t = (-10 ± 4) / (-32)

t = (-14 / -32) and (-6 / -32)

t = 14/32 and 6/32

The smaller value, 6/32, represents the time after which the candy will be 2 feet in the air.

Converting it to a decimal:

6/32 = 0.1875 seconds

For more questions on quadratic formula

https://brainly.com/question/28038123

#SPJ4

Answer:

a ratio of cats to dogs is 5:3 so the total of that ratio is 8 so for every 8 animals there are 5 cats so 5/8*104=65

b. ratio of dogs to cats is 3:5 so 3 of every animal is a dog so 3/8*104 =39

and 39+65=104 as a final check = 104

this also proves that dogs are better than cats

Step-by-step explanation:

Answer:

x<−7 and x>−11

Step-by-step explanation:

Let's solve your inequality step-by-step.

5(|x+9|)<10

Step 1: Divide both sides by 5.

5(|x+9|)/5 < 10/5

|x+9|<2

Step 2: Solve Absolute Value.

|x+9|<2

We know x+9<2 and x+9>−2

x+9<2(Condition 1)

x+9−9<2−9(Subtract 9 from both sides)

x<−7

x+9>−2(Condition 2)

x+9−9>−2−9(Subtract 9 from both sides)

x>−11

Answer:

x<−7 and x>−11

\(\huge\textsf{Hey there!}\)

\(\huge\textbf{Equation:}\)

\(\mathbf{5|x + 9| < 10}\)

\(\huge\textbf{Solving:}\)

\(\mathbf{5|x + 9| < 10}\)

\(\huge\textbf{DIVIDE 5 to BOTH SIDES:}\)

\(\mathbf{\dfrac{5|x \ + \ 9|}{5} = \dfrac{10}{5}}\)

\(\huge\textbf{Simplify it!}\)

\(\mathbf{|x + 9| < 2}\)

\(\huge\textbf{Solve the absolute value:}\)

\(\mathbf{|x + 9| < 2}\)

\(\huge\textbf{Possibly we know that:}\)

\(\mathbf{x + 9 < 2 \ and\ we\ know\ that \ x+9 > -2}\)

\(\huge\textbf{Solving for:}\)

\(\mathbf{x + 9 < 2}\)

\(\huge\textbf{SUBTRACT 9 to BOTH SIDES:}\)

\(\mathbf{x + 9 - 9 < 2 -9}\)

\(\huge\textbf{Simplify it!}\)

\(\mathbf{x < -7}\)

\(\huge\textbf{Solving for:}\)

\(\mathbf{x + 9 > -2}\)

\(\huge\textbf{SUBTRACT 9 to BOTH SIDES:}\)

\(\mathbf{x + 9 - 9 > -2 - 9}\)

\(\huge\textbf{Simplify it!}\)

\(\mathbf{x > -11}\)

\(\huge\textbf{Answer(s):}\)

\(\huge\boxed{\mathsf{x < -7\ or\ x > -11}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

D.

Step-by-step explanation:

Polyhedron

Answer:

Polyhedron

Step-by-step explanation:

A solid that is bounded by polygons, called faces, that enclose a single region of space.

Answer:

4.6 inches

Step-by-step explanation:

In general, it is safer to be riding in a heavy car in an accident than in a light car due to the physical principles of momentum and force. The greater mass of a heavy car provides better protection by reducing the impact forces experienced during a collision.

The principle of momentum states that the momentum of an object is directly proportional to its mass and velocity. In a collision, the total momentum before the collision is equal to the total momentum after the collision, assuming no external forces are acting. Since a heavy car has a greater mass compared to a light car, it will have a higher momentum. As a result, during a collision, the heavy car will experience a smaller change in velocity compared to the light car, reducing the force exerted on the occupants.

Additionally, the principle of force states that force is equal to mass multiplied by acceleration (F = ma). When a car comes to a sudden stop in a collision, the acceleration experienced by the occupants is high. With a higher mass, the heavy car will experience a lower acceleration and therefore lower forces acting on the occupants. This provides better protection and reduces the risk of injury.

Alternative point of view:

It is important to note that car safety depends on various factors, including the design of the car, safety features, and the specific circumstances of the accident. While heavier cars may offer better protection in some cases, other factors such as structural integrity, crumple zones, and safety technologies like airbags and seatbelts also play a significant role. Additionally, advances in lightweight materials and vehicle design have allowed for the development of safer light cars that meet stringent safety standards. Therefore, it is not solely the weight of the car that determines its safety in an accident, but rather a combination of various factors that need to be considered.

Learn more about principle of momentum here:

https://brainly.com/question/31439039

#SPJ11

First, we need to map the coordinates as:

Where the points P, Q, R, and S are equal to (9,2), (-8,2), (-7,7), and (10, 7) respectively.

Then, the area of the parallelogram can be calculated as base times height. So it is equal to:

Base = 9 - (-8) = 9 + 8 = 17

Height = 7 - 2 = 5

Area = Base*Height = 17*5 = 85

Answer:

Answer:

41.54 mph

Step-by-step explanation:

you need to find the total distanceand total time to find the average speed

use distance/time = speed equation

time = 1.5 hours + 40 mins = 2 hours 10 mins

distance= 20 + 70 = 90 miles

90/130 mins x 60 = 41.54 mph

The Kruskal-Wallis test is a non-parametric test used to compare three or more independent groups to determine if there is a significant difference between the medians of the groups. The test statistic used in this test is denoted by the letter "H," which is calculated based on the ranks of the data.

True. The test statistic calculated in the Kruskal-Wallis test is denoted by the symbol H, not to be confused with the Shapiro-Wilk test statistic denoted by W. The Kruskal-Wallis test is a non-parametric test used to compare the median ranks of three or more independent groups. The test statistic H is calculated by comparing the between-group sum of squares to the total sum of squares. H follows a chi-squared distribution with degrees of freedom equal to the number of groups minus one. The p-value obtained from the chi-squared distribution is used to determine whether to reject or fail to reject the null hypothesis that there is no significant difference between the groups.

To learn more about median : brainly.com/question/11237736

#SPJ11

Answer

n = 5

Explanation

We need to solve for n in the equation given

7n - 4 = 31

Add 4 to both sides

7n - 4 + 4 = 31 + 4

7n = 35

Divide both sides by 7

(7n/7) = (35/7)

n = 5

Hope this Helps!!!

The Solution in inequality form is 7 ≤ x ≤ 10.

The Solution in interval notation: [7,10].

Given the data in the question;

-x - 8 ≤ -15 and -18 ≤ -x - 8

To solve, simplify the first part of the inequality by solving for x.

-x - 8 ≤ -15

Add 8 to both sides

-x - 8 + 8 ≤ -15 + 8

-x ≤ -7

Divide both sides by -1

Note that when dividing both sides of an inequality by a negative value, the inequality sign flips direction.

-x/-1 ≥ -7/-1

x ≥ 7

Next, simplify the second part of the inequality by solving for x

-18 ≤ -x - 8

Rewrite as

-x - 8 ≥ -18

Add 8 to both side

-x - 8 + 8 ≥ -18 + 8

-x ≥ -10

Divide both sides by -1

Note that when dividing both sides of an inequality by a negative value, the inequality sign flips direction.

-x/-1 ≤ -10/-1

x ≤ 10

Now, the intersection consist of the elements that are contained in both intervals.

The Solution in inequality form is 7 ≤ x ≤ 10.

The Solution in interval notation: [7,10].

Learn more about compound inequality here: https://brainly.com/question/20296065

#SPJ1

Answer: China, with the world's largest population, controversially limits its population with a one-child policy. In contrast, India pursues less restrictive policies.

Step-by-step explanation: OK I get it now.

the correct answer is b. 8

The volume of the given cylinder is 6280 cubic inches.

The volume of a cylinder is equal to the product of the area of the circular base and the height of a cylinder.

V = πr²h

where 'r' is the radius of the base (circle) of the cylinder

'h' is the height of the cylinder

Given that cylinder has a base radius of 10 in and a height of 20 in.

Here radius r = 10 in and height h = 20 in.

Substitute the known values in the formula:

The volume of cylinder= π(10)² × 20

The volume of cylinder = 3.14(100) × 20

The volume of the cylinder = 6280 cubic in

Learn more about the volume of the cylinder here :

brainly.com/question/16134180

#SPJ2

Answer: -2

Step-by-step explanation:

Answer:

3 1/2

Step-by-step explanation:

Quarter bag plus three quarter bag=1 bag

2 half bags is one bag

2 three quarters full is 1 1/2 bag :)

3 1/2 (three and a half)

Step-by-step explanation:

if u mean full bags, then add them

all together and simplify:

1/4+1/2+1/2+3/4+3/4+3/4=

=1/4+1+9/4=

=14/4=

=7/2=

=3 1/2 bags.

so 3 full bags and 1 half bag.

Answer: We know that for any circle with radius r the formula for the area and circumference of the circle is given as: Area of circle=πr². ... Hence, to describe the relationship between the area of a circle and its circumference. The Area of circle is 1/2 times the radius times the circumference.

Step-by-step explanation:

Answer:

Which Number Is x, You Didnt Specify

Answer:

1 - A and B 2 - $111 3 - 8.2 and 49.2 4 - 8 and 224 5 - 0.26 and 1.56

Step-by-step explanation:

Answer:

-13

Step-by-step explanation:

3x2 - 7x +9

3x2 - 7(4) +9

3x2 - 28 +9

6-28+9

-22+9

-13

Hope this helped and have a great day

(Please brainliest)

Answer: 11

Step by step explanation = 5x - 16x

                                             9 - 20

                                             = 11

Answer: 9/12 equals 0.75 so 75 percent is the answer.

Step-by-step explanation:

Answer:

174 plums

Step-by-step explanation:

a=7b

a+58=3b

7b+58=3b

4b=58

b=14.5

29,203 earlier

87,261 now

261-87=174

Answer: The answer is 100 :)

Step-by-step explanation:

you multiply L x W and that would be 10 x 10 and if you do the math right you should get an answer of 100