Joan’s parents deposited $2,000 into a savings account as a college fund when she was born. How much will Joan have in total in this account after 18 years at a yearly simple interest rate of 3.25%?

Answer:

16.3

Step-by-step explanation:

There was a total of 48.9 pounds of cans and bottles

They were split evenly in 3 bags

Hence the number of each pounds in the bag can be calculated as follows

= 48.9/3

= 16.3

Hence 16.3 pounds are found in each bags

Answer:

245.56

Step-by-step explanation:

Answer:

1.94 in

Step-by-step explanation:

The arc length formula is s = rФ.  Here, r = 5 in and Ф = 70°  But in this formula the central angle, Ф, must be in radians:

70°(1 rad)

-------------- = 0.389 rad

 180°

Thus, the arc length here is s = (5 in)(0.889 rad) = 1.94 in

Answer:

2 * 5⁴

Step-by-step explanation:

Given :

Number of cubes = 10

Side length, a of each cube = 5

The volume of a cube = (side length)³

Hence, the volume of each of Han's cube = 5³

Therefore, the total volume will be :

Volume or cube * number of cubes

5³ * 10

10 = 2 * 5 = 2 * 5¹

5³ * 2 * 5¹

2 * 5^(3 +1)

2 * 5⁴

Answer:

56.55 or 18pi

Step-by-step explanation:

Pi time radius squared divided by two

Answer:

it's either B=6.25-1.25r or it's r=5-0.8b

Answer:

No, its not

Step-by-step explanation:

The points of the image are not moved away from the center of dilation proportionally. I don't think anyway.

Answer:

The answer is 8

Step-by-step explanation:

This problem is asking for what I call the GCF. (Which stands for Greatest Common Factor) How do we know this? Well, it says the groups have to be so no marbles are left over. So it is asking for a factor all of these numbers share. So it could be 4, 2, or 8, since these are the numbers you can evenly divide these numbers by. It also asks for the greatest number of those groups. Well, eight is the greatest of the factors. Therefore, it is the GCF of 24, 96, 16, and 32.

Sentence form: Since this is a word problem, you just gotta have a sentence. It would be "The greatest number of groups John can make without anything left over from these marbles is 8." Or something along those lines.

Hope you found this helpful! I'm a noob at this so I might have worded something weird :P

The greatest number of groups which John can make with marbles in order to place them in identical groups without any marbles left over is 4.

GCF or greatest common factor is the common number which all the term has in a group of terms. It is the number which can divide each number of the group.

Here, John has 24 blue, 96 green, 16 gray, 16 red and 32 white marbles. He wants to place them in identical groups without any marbles left over.

Now, To find such identical groups, we have to find the greatest common factor of all these numbers. The factors of all the numbers are,

24=2×2×2×3

96=2×2×2×2×2×3

16=2×2×2×2

16=2×2×2×2

32=2×2×2×2×2

Here, the 2×2×2 is the common factor which is appears in all the terms.

Thus, the greatest number of groups which John can make with marbles in order to place them in identical groups without any marbles left over is 8.

Learn more about the GCF here;

brainly.com/question/219464

#SPJ3

Answer:

364 square units

Step-by-step explanation:

For this problem we can break the shape into a triangle and square then add them together to get the area. We know that the are of a square is side*side so we do 14*14 to get the area of that. Then we can do 1/2*base*height for the area of the triangle and we can use a side of the square as the base. We still need to find the height so we do pythagorean theorem using half the base and the 25 as the hypotenuse. So we do 25^2=7^2+Height^2 after rearranging we can do 25^2-7^2=Height^2 and find that the height is equal to 24. Then we simply plug in all the numbers like (1/2*14*24)+(14*14) to get 364  

Answer:

80 gallons

Step-by-step explanation:

32 divided by 4 to get the number of gallons it uses for 1 load of dishes which is 8. 8 multiplied by 10 = 80.

Answer 80 gallons

Step-by-step explanation:

32 divided by 4 equals 8, we have now found the rate of change. We then multiply 10 by 8 because for every load of dish it uses 8 gallons. So that equals 80 gallons.

9514 1404 393

Answer:

  6x^3 +22x^2 +24x +8

Step-by-step explanation:

The dimensions of the larger box are ...

  (x+2), (2x+2), and (3x+2)

The volume is the product of these dimensions.

  V = LWH

  V = (x+2)(2x+2)(3x+2) = (x +2)(6x^2 +10x +4)

  V = 6x^3 +22x^2 +24x +8

The volume of the box is 6x^3 +22x^2 +24x +8.

Answer:

m<1 =118 ~trust me I just finished this section

Answer:

f = 2x + 24/ 3

Step-by-step explanation:

Step 1: Divide both sides by x.

fx/x = 2/3 x^2 + 8x/x

f = 2x + 24/3

Answer:

300 × (1 + 0.10)^n

Step-by-step explanation:

The computation is shown below:

Given that

The population is 300

And, the population would be increased at a rate of 10% each year

So, the exponential growth function to calculate the daily growth rate is

= 300 × (1 + 0.10)^n

Here n represent the number of years or the time period

So, the above show the exponential growth function

Answer:

your answer will be option A

Step-by-step explanation:

(8w^7x^-5y^3z^-9)-2/3

= (8)-2/3×(w^7)^-2/3×(x^-5)^-2/3×(y^3)^-2/3×(z^-9)-2/3

=(2^3)^-2/3×w^-14/3×x^10/3

xy^-2xz^6

=2^-2 w^-14/3 x^10/3 y^-2 xz^6

=1/4×1/w^14/3× x^10/3 xz^6/y^2

=x^10/3z^6/4w14/3y^2

hope it helps..

have a great day!!

hope it helps you friend!!

Answer:

104 degrees'

Step-by-step explanation:

Find the diagram attached

According to the theorem;

Angle at the vertex is half the angle at its intercepted arc

Given

Angle at the vertex = 52 degrees

Angle at the intercepted arc = arc QR

Hence;

52 = 1/2 arcQR

Cross multiply

52 * 2 = arcQR

104 = arc QR

Swap

arc QR = 104 degrees'

Answer:

C)104

Step-by-step explanation:

edg 2021

Answer:

[tex]tan(\theta) = \frac{3}{4}[/tex]

Step-by-step explanation:

Remember the trigonometric ratios, keep in mind that the way the side is referred to is based on its position relative to the angle getting referenced. The side next to the referenced angle ([tex]\theta[/tex]) is called the adjacent side, the one opposite the angle is called the opposite side, and the side opposite the right angle of the triangle is called the hypotenuse.

[tex]sin (sine) = \frac{opposite}{hypotenuse}\\\\cos (cosine) = \frac{adjacent}{hypotenuse}\\\\tan(tangent) = \frac{opposite}{adjacent}[/tex]

In this problem, one is asked to find the value of ([tex]\theta[/tex]) with regards to a trigonometric function. One is given the opposite and adjacent sides, it would make the most sense to use the trigonometric function (tangent). Substitute the sides into their respective place, and simplify to find the value of the trigonometric function.

[tex]tan(\theta) =\frac{15}{20}\\\\\\tan(\theta)=\frac{3}{4}[/tex]

Answer:

65

Step-by-step explanation:

65 because they alternate

AB=BA

65=115

115=65

idrk if tht makes sense tho lol

Answer:

The answer is 30.9 ft

Step-by-step explanation:

Answer: 30.9

Step-by-step explanation:

math nation told me.

Answer:

Pretty sure DC is also 7.

Step-by-step explanation:

The triangle seems equal on both sides so if AC = 7, then DC = 7.

Answer:

DC= 7

Step-by-step explanation:

ΔABC≅ΔDBC

AB=DB

BC=BC and

CA=CD

given AB= 10

AC= 7

DC= AC =7

so DC will be 7

hope it helps

have a great day!!

Answer:

m = 36

Step-by-step explanation:

.................

Answer:

your answer is 7.5 meters sorry i got to this late

Step-by-step explanation:

Answer:

Probably have to go with B

Step-by-step explanation:

PRocess of elimination

Answer:

There are 12 possible combinations.

P(roast beef & caesar) = 1/6

Step-by-step explanation:

The List:

That shows there are 12 possible combinations.

Of those combinations, 2 have both caesar salad & a roast beef sandwich. That equates to 2/12, which is the same as 1/6. So P(roast beef & caesar) is equal to 1/6.

Answer:

Length of arc = 8.90 unit (Approx.)

Step-by-step explanation:

Given:

Radius of circle = 17 units

∠QRS = 30°

Find:

Length of arc

Computation:

Length of arc = [θ/360][2πr]

Length of arc = [30/360][2(22/7)(17)]

Length of arc = [1/12][2(3.14)(17)]

Length of arc = [0.0833][3.14(34)]

Length of arc = [0.0833][106.76]

Length of arc = 8.8963

Length of arc = 8.90 unit (Approx.)

Answer:

C

Step-by-step explanation:

You combine like terms and then order them according to their exponents (order)

Since the 4 has a negative but is going to get subtracted it becomes positive and therefore added

2[tex]x^5[/tex] +(7x³ + 4x³) - 5x² = 2[tex]x^5[/tex] + 11x³ - 5x²

The system of equations that represents this situation will be a + c = 125 and 12a + 6c = 1140.

Therefore, the equation that can be used in solving the question will be:

a + c = 125

12a + 6c = 1140

The equation above will give the values needed.

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