Scarlett is going to invest in an account paying an interest rate of 4% compounded daily. How much would Scarlett need to invest, to the nearest ten dollars, for the value of the account to reach $54,000 in 8 years?

Answer: 1,152 toys can be stored in the box.

Step-by-step explanation:

For an object with measures L (length) by W (width) by H (height) the volume is calculated as:

V = L*W*H

We know that the measures of each toy are: 4in x 3in x 3in

Then the volume of each toy is:

V = 4in*3in*3in = 36in^3

The toy box is 4ft x 2ft x 3 ft

First we should write the measures in the same units as before, we know that:

1ft = 12 in.

Then:

4ft = 4*12 in = 48 in

2ft = 2*12in = 24in

3ft = 3*12in = 36in

Then the measures of the box are:

48in x 24in x 36in

Then the volume of the box is:

V = 48in*24in*36in = 41,472 in^3

Now, the number of toys that can be stored in the box is the same as the number of times that  36in^3 is in 41,472 in^3

this is equal to the quotient between 41,472 in^3 and 36in^3

N = 41,472 in^3/36in^3 = 1,152

1,152 toys can be stored in the box.

Answer:

x = -123/14

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

250 = 4(1 - 7x)

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 250 does indeed equal 250.

∴ x = -123/14 is the solution to the equation.

Answer:

Tom is correct

Step-by-step explanation:

Quadrilaterals are polygons that have four sides.

Square, rectangle, parallelogram, kite, rhombus are all examples of quadrilateral

Parallelogram is a type of quadrilateral with opposite sides equal and parallel

Answer:

Step-by-step explanation:

Points to remember while solving a system of linear equations,

1). If the equations have same slope, solution of the system will have no solution.

2). If both the equations are same, system will have infinitely many solutions.

3). If both the equations have different coefficients of variables, system of equations will have exactly one solution.

Question 11,

ax + 4y = 10 ------ (1)

-9x - 6y = -15

-3x - 2y = -5

-6x - 4y = -10

6x + 4y = 10 -------(2)

For infinitely many solutions,

Coefficients of variables will be same.

a = 6 will be the answer.

Option B is the correct option.

Question 12,

[tex]y=-\frac{3}{2}x+4[/tex] ---------(1)

[tex]y=-\frac{3}{2}x-4[/tex] ----------(2)

Since, slopes of both the equations are same as [tex]-\frac{3}{2}[/tex], lines will be parallel.

System will have NO SOLUTION.

Question 13,

x + 3y = 6 ------- (1)

6x + 18y = 36

x + 3y = 6 -------- (2)

Both the equations are same.

Therefore, system of the equations will have infinitely many solutions.

2x - 3y = -3 ------(1)

4x + 6y = 18

2x + 3y = 9 -------(2)

Coefficients of the variables are different, therefore, one solution.

3x + 2y = 6 -------(1)

6x - 4y = 24

3x - 2y = 12 -------(2)

One solution.

8x - 10y = 6

4x - 5y = 3 -------(1)

-4x + 5y = 3

4x - 5y = -3 ------(2)

One solution.

4x + 10y = 16

2x + 5y = 8 --------(1)

10x + 25y = 40

2x + 5y = 8 --------(2)

Infinitely many solutions.

Answer:

area=basexheight

area=4.1x5.7

area=23.3

Answer:

b. - 1/4

Step-by-step explanation:

Start at the point highest on the line(3,4). Subtract the x value of the second point, from the x value of the first point.(3-7) Then do the same with the y values.(4-3) This gives you x=-4and y= 1. Slope= y/x, so you get -1/4

Answer:

Step-by-step explanation:

since f || h the length of two lines have to be equal

according to the question:

hence,

Katrina is using 21//6 (B) packs per year

Answer:

Total cost with interest and down payment: $4288

Monthly payment with interest: $162

(if this doesnt answer your question, plz let me know what you mean by installments and ill try again)

Step-by-step explanation

Answer: List all of the solutions.

1

=

3

=

179

=

Step-by-step explanation:

Step-by-step explanation:

x² - 2x - 35 = (x - 7)(x + 5).

x² + 3x - 54 = (x + 9)(x - 6).

x² - 4x + 4 = (x - 2)².

x² - 121 = (x + 11)(x - 11).

2x² + x - 15 = (2x - 5)(x + 3).

6x² - 7x - 24 = (3x - 8)(2x + 3).

3x² - 10x + 8 = (3x - 4)(x - 2).

10x² + 9x - 9 = (5x - 3)(2x + 3).

12x² + 25x + 12 = (4x + 3)(3x + 4).

15x² - x - 6 = (5x + 3)(3x - 2).

Answer:

y= 81$

Step-by-step explanation:

$27 X 3= 81

Answer:

y = 9h

i don't know if this is what you were looking for or not

Step-by-step explanation:

Answer:

approx. 6.523809523809524 hours

Step-by-step explanation:

Let us first find how long it takes Jane to drive 1 mile.

11/693 = approx. 0.015873015873016 hours to drive one mile.

She drives 411 miles, so we can multiply that by 411:

0.015873015873016 * 411 = approx. 6.523809523809524 hours

I hope this helps! :)

Answer:

6.52 hours

Step-by-step explanation:

693 miles divided by 11 hours = 63 miles per hour.

411 miles divided by 63 miles = 6.52380952 miles

Round to 2 decimal places: 6.52 hours

The second option (5n)

["Product" is for multiplication]

Answer:

7 I. guessing oh wait nah its fish

Answer:

[tex]S_{10} = 3069[/tex]

Step-by-step explanation:

Given

[tex]Sequence = \{3, 6, 12, 24, 48...\}[/tex]

Required

Determine the sum of the first terms

First, we calculate the common ratio (r)

[tex]r = \frac{T_2}{T_1}[/tex]

[tex]r = \frac{6}{3}[/tex]

[tex]r = 2[/tex]

The required sum is:

[tex]S_n = \frac{a(r^n-1)}{r-1}[/tex]

Substitute 3 for a, 2 for r and 10 for n

[tex]S_{10} = \frac{3(2^{10}-1)}{2-1}[/tex]

[tex]S_{10} = \frac{3(1024-1)}{2-1}[/tex]

[tex]S_{10} = \frac{3(1023)}{2-1}[/tex]

[tex]S_{10} = \frac{3(1023)}{1}[/tex]

[tex]S_{10} = \frac{3069}{1}[/tex]

[tex]S_{10} = 3069[/tex]

Answer:

if the other person answers give it to them :)

Answer:

B

Step-by-step explanation:

Answer:

b = 6 n = 2.5 and p = 4.5

Step-by-step explanation:

had the same question

The value of the variables b, p, and n will be 6, 3.5, and 2.5, respectively.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The equation of the line is given below.

y = -0.5x + b

The line is passing through (4, 4), then the value of b will be

4 = -0.5 × 4 + b

4 = - 2 + b

b = 4 + 2

b = 6

Then the equation will be

y = - 0.5x + 6

The equation is passing through (3, p), then the value of p will be

p = -0.5 × 3 + 6

p = - 1.5 + 6

p = 3.5

The equation is passing through (7, n), then the value of n will be

n = -0.5 × 7 + 6

n = - 3.5 + 6

n = 2.5

Then the value of the variables b, p, and n will be 6, 3.5, and 2.5, respectively.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

Answer: It’s 8

Step-by-step explanation: I just went to desmos

Answer:

Y= 2/5x - 23

Step-by-step explanation:

Firstly:

Move the 1/5 to the other side of the equation

So

5(y+4) =2(x-3)

Secondly:

Expand the brackets

5y +20 = 2x-3

Thirdly:

Solve

5y= 2x - 3-20

5y=2x-23. (Divide by five both sides)

Y= 2/5 x - 23 (Straight line graph)

To plot the graph:

First create a table of values

For x coordinates and y coordinates

Put the points in the graph and match

Answer:

the first one n + 8 < -2 is correct, the second one is correct too, but its just the graph that is wrong. n > -3, since its greater, it should increase in number, so the line would go toward the right, the opposite direction you drew down.

Step-by-step explanation:

Hope this helps

Answer:

The distance between them after 1 hour and 30 minutes will be of 63.64 miles.

Step-by-step explanation:

This question can be solved using the Pythagorean Theorem.

Both cars travel at a constant speed of 30 miles per hour. So, after 1 hour and 30 minutes, which is 1 and a half hour, they will have traveled 30*1.5 = 45 miles.

The distance between them is the hypotenuse of a right triangle, in which the sides are 45. So

[tex]d^2 = 45^2 + 45^2[/tex]

[tex]d = \sqrt{45^2 + 45^2}[/tex]

[tex]d = 63.64[/tex]

The distance between them after 1 hour and 30 minutes will be of 63.64 miles.

y ≤ 5

i think this is the answer..

Answer:

32 values

Step-by-step explanation:

Given the stem. Plot :

STEM ___ Leaf

4 | 024477889

5 | 001222234477888

6 | 02378

7 | 348

The data values include the stem with each value in the leaf : Hence, the number of data points is the number of values in the leaf of the stem plot.

The values are :

40, 42, 44, 44, 47, 47, 48,48, 49

50, 50, 51, 52,52, 52, 52, 53, 54, 54, 57, 57, 58, 58, 58,

60, 62, 63, 67, 68

73, 74, 78

Answer:

1.8181818181818181 etc., which rounds to 1.82

Step-by-step explanation:

1.65/3 = 1/x

3/1.65

We get 1.80 pounds of flour for 1 dollar.

Unitary method is a mathematical technique for first deriving the value of a single unit then deriving any given unit from it.

Suppose we know one mango costs 4 dollars so 20 mangoes will cost (4×20) dollars = 80 dollars.

According to the given question three pounds of flour cost 1.65 dollars.

So, One pound of flour will cost (1.65/3) dollars which is

= 0.55 dollars.

In 1 dollar we will get (1/0.55) pounds of flour which is

= 1.81 pounds.

Rounding 1.81 to nearest hundredth will be 1.80 as the rightmost digits is than 5.

learn more about unitary method here :

https://brainly.com/question/14793162

#SPJ2

Answer:

13

Step-by-step explanation:

16/1 -3/1 = 16-3

= 13answer is unknow no.

Answer:

Rounding to the nearest number, the answer would be 12 units

Step-by-step explanation:

I hope this helped! Please mark me as brainliest if you can!

Answer:

r = 6

Step-by-step explanation:

1 - r = -5

Subtract 1 on both sides

-r = -5 -1

-r = -6

Divide by -1 on both sides

r = 6

9514 1404 393

Answer:

  a[n] = n^2 -3n -6

Step-by-step explanation:

First differences are ...

  -8 -(-8) = 0

  -6 -(-8) = 2

  -2 -(-6) = 4

Second differences are ...

  2 -0 = 2

  4 -2 = 2

Constant second differences indicate a degree 2 (quadratic) sequence.

The general formulation can be written as ...

  an = a1 +(n -1)(d1 +(n -2)/2(d2)) . . . . where a1 is the first term; d1 is the first first difference; d2 is the second difference

  = -8 +(n -1)(0 +(n -2)/2(2)) = -8 +(n -1)(n -2)

  an = n^2 -3n -6 . . . . . formula for the n-th term