How much money will you have if you started with $1250 and put it in an account that earned 6.7% every year for 14 years?

Answer:

Surface Area = 471.2 cm^2

Surface Area = 60.75 m^2

Step-by-step explanation:

The surface area formula for a cylinder is π x diameter x (diameter / 2 + height), where (diameter / 2) is the radius of the base (d = 2 x r), so another way to write it is π x radius x 2 x (radius + height). ( π =3.14 )

FORMULA:

π x 5 x 2 x 15

WORK:

π x 5 = 15.7

15.7 x 2 = 31.4

31.4 x 15 = 471

The surface area formula for a triangular prism is 2 * (height x base / 2) + length x width1 + length x width2 + length x base.

FORMULA:

2 x (2.5 x 1.5/2) + (6 x 4) + (6 x 4) + (6 x 1.5)

WORK:

(2.5 x 1.5) = 3.75/2 = 1.875

1.875 x 2 = 3.75

(6 x 4) = 24

(6 x 4) = 24

(6 x 1.5) = 9

3.75 + 24 + 24 + 9 = 60.75

I've already done the first one for you, but here's the second one: (its in the attached sheet)

Answer:

286

Step-by-step explanation:

Since we are looking for the number of combination, we use the formula:

[tex]_{n}C_{r}=\dfrac{n!}{(n-r)!r!}[/tex]

n = 13

r = 3

[tex]_{13}C_{3}=\dfrac{13!}{(13-3)!3!}[/tex]

[tex]_{13}C_{3}=\dfrac{13!}{10!3!}[/tex]

[tex]_{13}C_{3}=286[/tex]

So there are 286 possible combinations of 13 toppings at 3 toppings on a large sundae.

Look at the dots for each week and see how much money was in the account.

Week 1 was 10, week 2 was 30, this means he saved 20

Week 5 was at 50, week 6 was at 80, this means he saved 30, which was the most.

The answer is 5 & 6.

10850 would be I'm favor of building the park and 4650 would not

okay so I'm going to be honest I'm not fully sure if my answer is correct but I think that you must add it up and they answer that you will get is 64 because remember 4 + 2 equals 6 and 4 + 0 equal 4

Answer:

[tex]40\pi\text{ cubic feet}[/tex]

Step-by-step explanation:

Given,

The diameter of the pipe = 24 inches,

⇒ The diameter of the section = 24 inches

And, it is laid in 40 foot section,

So, the height of each section = 40 feet,

Since, the shape of a pipe is cylindrical,

The volume of a cylinder is,

[tex]V=\pi (r)^2 h[/tex]

Where, r is the radius,

h is its height,

Here, r = [tex]\frac{24}{2}[/tex] = 12 inches = 1 feet,

Also, h = 40 foot,

Thus, the quantity of water hold by the section = Volume of the section

[tex]=\pi (1)^2(40)[/tex]

[tex]=40\pi \text{ cubic feet}[/tex]

Answer:

The answer is ASA!

Step-by-step explanation:

Answer:

asa

Step-by-step explanation:

Answer:

Option 3. (23, 14)

Step-by-step explanation:

In this figure, solution of the system of equations is the point of intersection of the equations representing two lines.

Or common points lying on both the lines will be the solutions of the system of equations.

In the given graph approximate value of x - coordinates = 23

and approximate value of y - coordinates = 14

Therefore, solution of the system is (23, 14).

3rd option (23, 14) is the answer.

Answer:

Option 3. (23, 14)

Step-by-step explanation:

Answer:

the formula for surface area of a triangle is s=1/2ph=b

Step-by-step explanation:

p = perimeter of pyramid

h = height of each triangular face

BIG B = Area of base of pyramid

Solve!

i hope this helped im only in the 8th grade, so i am just learning this

Answers are on attached sheet! :)

Answer:

The slope is 3/2

Step-by-step explanation:

Slope is calculated by rise over run so there are three points for you. You start from a point that hits the line then you go up 3 units and across 2 units and you hit the next point. That means the slope is 3/2

Hope this helps and I tried my best on explaining it's hard without being able to show it to you!

Answer:

The slope of given line = 2/3

Step-by-step explanation:

Let (x₁, y₁) and (x₂, y₂) be the two points on a line, the slope of the line is given by,

Slope = (y₂ - y₁)/(x₂ - x₁)

Form the figure we get some coordinates points

(2, 3),  (4,6) , (6, 9)

To find the slope of  line

Consider two points

(x₁, y₁)  = (2, 3) and  (x₂, y₂) = (4, 6)

Slope = (y₂ - y₁)/(x₂ - x₁) = (4 - 2)/(6 - 3) = 2/3

Therefore the slope of given line = 2/3

Answer:

an = 2 - 3n ⇒ The third answer

Step-by-step explanation:

∵ a1 = -1

∵ a2 = -4

∵ a3 = -7

∵ a2 - a1 = -4 - -1 = -3

∵ a3 - a2 = -7 - -4 = -3

∴ It is an arithmetic sequence with

  1st term = -1 and constant difference = -3

∵ The rule of any arithmetic is: an = a + (n - 1)d

∵ a = -1 and d = -3

∴ an = -1 + (n - 1)(-3)

∴ an = -1 - 3n + 3

∴ an = 2 - 3n ⇒ The third answer

I'm back again....xD

1) C'(-3, -3)

2) A - Location - Yes

B - Orientation - No

C - Size - No

3) Don't kill me, but I actually don't know this one...sorry

4) X'

5) A - Angle measures - No

B - Perimeter - No

C - Orientation - Yes

6) Rotated 90° counter-clockwise; (x, y) → (-y, x)

7) Y'(-2, -3)

8) A (x, y) → (-x, y)

9) A - Same Shape - Yes

B - Same Area - No

C - Same Perimeter - No

D - Similar - Yes

10) X'(-1.6, 0.5)

11) A - Translation - Yes

B - Rotation - Yes

C - Dilation - No

D - Reflection - Yes

58×13=696!!!!!!!!!!!!!!!!!!!!

Answer:

[tex]58\times 12=696[/tex]

Step-by-step explanation:

We have to multiply 58 and 12.

This could be done by distributive property of multiplication over addition which is:

[tex]a\times b\\=a\times (c+d)\\=(a\times c) + (a\times d)[/tex]

Evaluation of [tex]58\times 12[/tex]

[tex]58\times 12\\=58\times (10 + 2)\\=(58\times 10) + (58\times 2)\\=580 + 116\\=696[/tex]

Distributive property makes us easy to calculate complicated product by dividing the number into smaller parts.

Answer:

D is your answer

Step-by-step explanation:

What you do to figure this out is you take the 3^15 and make it to where there is 15 3's.

3, 3, 3, 3, 3, 3, 3, 3, 3 ,3, 3, 3 ,3, 3, 3.

You will then put them in groups of 2 to get them out of the Square root.

3,3    3,3    3,3    3,3    3,3    3,3    3,3    3.

There are 7 groups where the 3 can come out of the Square root.

So your answer is 3^7sqrt3. D is your answer.

Answer:

d. 3⁷√3

Step-by-step explanation:

√(3¹⁵) can be written as √(3¹⁴ₓ 3)

=√(3¹⁴)ₓ√3

To find the the square root of the number in index form, we divide the index by 2.

√(3¹⁴)=3⁷

let √3 remain in surd form, then we shall have the solution as 3⁷×√3

=3⁷√3

B is correct. 7*-1= -7. -2*1=-2 -7+2= -5

Answer:

The correct answer is D because both ordered pair when substituted to the equation, both sides of the equation didn't equal to each other.

Explanation:

All you do is substitute. (x,y)

A:

Substitute

7(1) - 2(5) = -5

Multiply the number inside the parentheses by the number outside.

7 - 10 = -5

Subtract the numbers.

-3 = -5

This is not the solution to the equation because the numbers on both sides don't equal to each other.

B:

Substitute

7(-1) - 2(1) = -5

Multiply the number inside the parentheses by the number outside.

-7 - 2 = -5

Subtract the numbers.

-9 = -5

This also not the solution to the equation because the numbers on both sides don't equal to each other.

C:

They both are not the solution to the equation because the numbers on both sides don't equal.

Answer:

2a + 3 Remainder 6

Step-by-step explanation:

Find the attachment bellow for a step by step explanation.

Answer:

2a + 3

Step-by-step explanation:

We are given the following two terms and we are to divide them:

[tex] \frac { 2 a ^ 2 + a + 3 } { a - 1 } [/tex]

We will start by divide the highest order term in the dividend  [tex]2a^2[/tex] by the highest order term in divisor  [tex]a[/tex]:

[tex]\frac{2a^2 + a + 3}{a-1}=2a[/tex]

Then we multiply the new quotient term by the divisor where [tex]-2a^2+2a[/tex] is subtracted by [tex]2a^2+a[/tex].

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend to get:

[tex]2a+3[/tex] as the quotient and [tex]6[/tex] as the remainder.

Answer: D

Step-by-step explanation: Based on the chart, we can tell that both the median (The line inside the box) and the interquartile range (the box itself) is bigger on Friday than it is on Saturday.

Answer:it is 13.45

Step-by-step explanation:

The largest value among the provided numbers is 13.5. In decimal numbers, the higher the value after the decimal point, the larger the fraction of a whole number it represents. Therefore, 13.5, with '.5' after the decimal point, represents the largest value.

In order to find the largest value among the given numbers, it will be useful to first understand how decimal numbers work. Decimal numbers are a method of writing fractions in a way that is easier to work with. In a decimal number, the number after the decimal point represents a fraction of a whole number. The larger this number, the larger the fraction of the whole number it represents.

In your list, you have five numbers: 13.05, 13.5, 13.06, 13.45, and 13.07. If we compare just the numbers after the decimal point, we'll see that '.5' is the largest. Therefore, 13.5 is the largest number among your list.

https://brainly.com/question/33711302

#SPJ2

Answer:

1 3/15

Step-by-step explanation:

Take 18 divided by 15, make it a fraction which is 18/15 then divide (how many 15's go into 18?) since 1 15 goes into 18 you put a 1 in the whole number place, and the remainder is 3/15.

Answer:

D

Step-by-step explanation:

B is not correct.

Convention says that the number after the divide sign must be in the denominator. In plain English, that means you must have 18 on the top and 15 on the bottom like this

18

===

15

Since that is not one of your answers you have to break it down

18 can be divided by 15 once.  That means that  A is not right either.

So all you have left is C and D

There's 3 left over when you divide 18 by 15.

Only one answer is possible

1 3/15 which is D

Answer:

Step-by-step explanation:

3/4(x-12)=12

3/4x - 3/4(12) = 12

3/4x - 9 = 12

3/4x = 12 + 9

3/4x = 21

1/4x = 7

x = 28

3/4y - 12=12

3/4y = 12 + 12

3/4y = 24

1/4y = 8

y = 32

Answer: x  /  y

              0  /  4

              4  /  0

            -10  /  6

Step-by-step explanation:

Answer:

x          y

0          4

20       0

-10       6

Step-by-step explanation:

x + 5y = 20

5y = -x + 20

 y = -1/5 x + 4

so

when x = 0,

y = -1/5 (0) + 4

y = 4

when y = 0 then

0 = -1/5 x + 4

-4 = -1/5 x

x = (-4) (-5)

x = 20

when y = 6 then

6 = -1/5 x + 4

2 = -1/5 x

x = 2 * (-5)

x = -10

Answer:

there are 6 possible outcomes with a 1/6 chance of a red shirt with white jeans

Step-by-step explanation:

I'm listing them in shirt the jeans and the letter corresponds to the color of them

r w

r b

b w

b b

g w

g b

--------------------------------------------------------------------------------------------------------------

since there are two colors of jeans that is a .5 ( or 1/2) chance of grabbing it and three different shirts which is a .33 (or 1/3)

1/3 x 1/2 = 1/6

hope this helps for the third time lol

Answer:

[tex]\$7,770.81[/tex]  

Step-by-step explanation:

we know that

The  formula to calculate the depreciated value  is equal to  

[tex]V=P(1-r)^{x}[/tex]  

where  

V is the depreciated value  

P is the original value  

r is the rate of depreciation  in decimal  

x  is Number of Time Periods  

in this problem we have  

[tex]P=\$8,599\\r=2.5\%=0.025\\x=4\ years[/tex]

substitute

[tex]V=\$8,599(1-0.025)^{4}=\$7,770.81[/tex]  

Final answer:

After 4 years, Mariah's car will depreciate to approximately $7,761.66, following a 2.5% annual depreciation rate.

Explanation:

To calculate the depreciated value of a car, we can use the formula for exponential decay, which is:

V = P[tex](1 - r)^t[/tex]

where V is the final value of the car after time t, P is the initial purchase price of the car, r is the rate of depreciation per year, and t is the number of years.

For Mariah's car, the initial purchase price (P) is $8,599, the rate of depreciation (r) is 2.5%, or 0.025 when expressed as a decimal, and the time period in question (t) is 4 years.

Now we can perform the calculation:

V = $8,599[tex](1 - 0.025)^4[/tex]
V = $8,599[tex](0.975)^4[/tex]
V = $8,599(0.9025)
V ≈ $7,761.66

So, after 4 years, the value of the car will approximately be $7,761.66, when rounded to the nearest hundredth.

Answer:

It really depends on what type of equation you are solving.

However, if you're working with an equation that contains variables, it's advised that you should get rid of the variables first before the whole numbers/integers.

Step-by-step explanation:

Answer with explanation:

[tex]Q={\text{Median}}=90\\\\Q_{1}=78\\\\Q_{3}=102[/tex]

There are 100 students in the group.

If we divide 100 students into groups

→First quartile =25.5

means, first quartile of students has median value ≤ 78.

→Median =50.5

Most of the students sends ,90 messages a day.

→Third Quartile=75.5

Students lying above the third Quartile ,sends ≥102 messages per day.

First Quartile means, approximately 0- 25 students in the group , sends 78 messages.

[tex]Q_{1}\leq 78[/tex]

Third Quartile means, 75-100 , students in the group, sends 102 messages .

[tex]Q_{3}\geq 102[/tex]

Approximately 25 students in the sample send

1. more than 102 text messages.

2.less than 78 text messages.

Answer:

This is true.

Step-by-step explanation:

+ ^2 + 6x -27

Final answer:

The interest rate charged by the credit card company for a $90 purchase with an $18 interest charge is calculated to be 20%.

Explanation:

To calculate the interest rate charged by the credit card company on a $90 purchase with an $18 interest charge, we need to use the formula for interest rate:

Interest Rate = (Interest / Principal) × 100

Applying the given values:

Interest Rate = ($18 / $90) × 100

Interest Rate = 0.2 × 100

Interest Rate = 20%

The interest rate the credit card company charged on the purchase is 20%.

When a square with 15 cm sides is enlarged by a ratio of 3:4, the resulting square has a side length of 20 cm, and consequently, an area of 400 cm².

If a square with sides of 15 cm is enlarged in a ratio of 3:4, we first need to determine the new length for the sides of the resulting square. To do this, we take the original side length (15 cm) and multiply it by the scale ratio.

The scale ratio is 3:4 which means for every 3 units of the original, the new square will have 4 units. Therefore, we calculate the new side length as follows:

Now, to find the area of the resulting square, we square the new side length:

Area = side × side = 20 cm × 20 cm = 400 cm²

So, the area of the resulting square is 400 cm².

the volume is 904.78

formula for sphere

[tex] \frac{4}{3} \pi{r}^{2} [/tex]

Explaining the volume of a sphere with a radius of 6 feet using the formula V = (4/3)πr³.

The volume of a sphere with a radius of 6 feet can be calculated using the formula:

V = (4/3)πr³

Given r = 6 feet, substituting the value, we get:

V = (4/3)π(6)³ = (4/3)π(216) = 288π cubic feet