Eloise is investing in a retirement account. She plans on adding an additional $50 at the end of every year and the expected monthly rate of return is 3% of the amount invested, calculated at the end of the month. If she starts with $1000 in the account find an equation that models the amount of money in the account each month for the first year.

The simplified value of the product of [tex]\sqrt[3]{24}\times\sqrt[3]{45}[/tex] is [tex]6\sqrt[3]{5}[/tex].

Some common rules of exponents are

xᵃ×xᵇ = xᵃ⁺ᵇ.

xᵃ/xᵇ = xᵃ⁻ᵇ.

Addition and subtraction of exponents is only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.

We know when we have the same radical we can simply multiply the values.

Given, [tex]\sqrt[3]{24}\times\sqrt[3]{45}[/tex].

= [tex]\sqrt[3]{24\times45}[/tex].

= [tex]\sqrt[3]{2\times2\times2\times3\times3\times3\times5}[/tex].

= [tex]2\times3\sqrt[3]{5}[/tex].

= [tex]6\sqrt[3]{5}[/tex].

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Answer:the answer is C. collision

Step-by-step explanation:

To graph the equation 8x - 5y = 40, find the x-intercept and y-intercept. The x-intercept is (5,0) and the y-intercept is (0,-8). Plot these points and draw a straight line passing through them.

To graph the equation 8x - 5y = 40 using intercepts, we need to find the x-intercept and y-intercept. The x-intercept is the point where the line intersects the x-axis, so let y = 0 and solve for x. The y-intercept is the point where the line intersects the y-axis, so let x = 0 and solve for y.

Setting y = 0, we get 8x - 5(0) = 40, which simplifies to 8x = 40. Solving for x, we find x = 5. So the x-intercept is (5, 0).

Setting x = 0, we get 8(0) - 5y = 40, which simplifies to -5y = 40. Solving for y, we find y = -8. So the y-intercept is (0, -8).

Plotting the x-intercept (5, 0) and the y-intercept (0, -8) on a graph, we can draw a straight line passing through these two points, which is the graph of the equation 8x - 5y = 40.

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The square, rectangle, and rhombus are all considered parallelograms. Squares have four sides, four 90 degree angles, 2 pairs of opposite congruent angles (all the angles are congruent), the angles add up to a sum of 360 degrees. Rectangles have four sides, four 90 degree angles that add up to 360 degrees, 2 pairs of opposite congruent angles (all the angles are congruent). Rhombuses have four sides, four angles in total measuring up to 360 degrees no matter the combination of angles because the oposite angles are congruent (2 acute angles and two obtuse angles).

While the rhombus is the only shape within this trio to have a pair of congruent acute and a pair of congruent obtuse angles the square and rectangle both have 4 congruent angles. All 3 shapes have a sum of 360 degrees when the angles are added together, all 3 have pairs of opposite angles being congruent, and all 3 shapes have 4 angles in total.

The expression simplifies to approximately -20.822. It involves multiplying -3.64 by the absolute value of -5.3 and then subtracting 1.53 from the result.

To calculate this expression, follow the order of operations (PEMDAS),

which stands for Parentheses, Exponents, Multiplication and Division (left-to-right), and Addition and Subtraction (left-to-right).

In expression, there are no parentheses or exponents, so we proceed with multiplication and then subtraction:

-3.64 × |-5.3| - 1.53

Calculate the absolute value of -5.3, which is 5.3.

Multiply -3.64 by 5.3.

Finally, subtract 1.53 from the result.

-3.64 × 5.3 - 1.53

Now, do the multiplication:

-19.292 - 1.53

Now, subtract:

-19.292 - 1.53 = -20.822

Therefore, the answer for the given expression -3.64 × |-5.3| - 1.53 is approximately -20.822.

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Answer:

If we need all the rows to be equal, all we are doing is dividing.

20/1= 20

20/2= 10

20/4=5

20/5=4

20/10=2

20/20=1

We have 6 different ways to divide 20!

The median number of jumps that the student made before missing is calculated as: C. 33.5.

Median is the middle value or the average of the two center values of a data set.

Given the data set:

2, 5, 6, 7, 9, 11, 12, 14, 14, 15, 17, 19, 21, 22, 23, 24, 27, 32, 35, 39, 39, 44, 47, 53, 60, 61, 82, 85, 88, 90, 93, 96, 101, 103, 114, 125

The average of the two center values is: (32+35)/2 = 33.5

Therefore, the median number of jumps is: C. 33.5.

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The family's weekly income is $1500.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

given that,

A Family spends 240.00 per week on food. If this is 16% of their income.

let,

x = weekly income (in dollars)

16% of x = amount spent on food per week

16% of x = 240

(16/100)*x = 240

0.16*x = 240

0.16*x/0.16 = 240/0.16

x = 1500

Hence, The family's weekly income is $1500.

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Given is the price increase of a ticket from 50p to 60p.

Using the concept of fractions, we can find the ratio of new price to old price as follows :-

[tex] \frac{new \;\; price}{old \;\; price} = \frac{60p}{50p} =\frac{6}{5} [/tex]

So the increase in price is [tex] \frac{6}{5} [/tex] times old price of the ticket.

Using the formula of percentage, we can find the percentage change in price as follows :-

[tex] Percentage = \frac{(new\;\;price \;-\; old\;\;price) }{old \;\; price}*100 \\\\
Percentage = \frac{60p-50p}{50p}*100 \\\\
Percentage = \frac{10p}{50p}*100 \\\\
Percentage = 20\;\% [/tex]

Hence, Percentage increase is 20% of the original price.

The equation of plane with normal vector n = (1, 3, 4) passing through the point (4, −1, 3) in the scalar form is;

⇒ x + 3y + 4z = 13

What is Equation of plane?

A equation of plane containing the point (x₁ , y₁ , z₁) and having a normal vector (a, b, c) is defined as;

⇒ a (x - x₁) + b (y - y₁) + c (z - z₁) = 0

Given that;

The normal vector n = (1, 3, 4)

And, The point = (4, −1, 3)

Now,

Since, we know that;

A equation of plane containing the point (x₁ , y₁ , z₁) and having a normal vector (a, b, c) is defined as;

⇒ a (x - x₁) + b (y - y₁) + c (z - z₁) = 0

So, We get;

A equation of plane containing the point (4, −1, 3) and having a normal vector (1, 3, 4) is defined as;

⇒ a (x - x₁) + b (y - y₁) + c (z - z₁) = 0

⇒ 1 (x - 4) + 3 (y - (-1)) + 4 (z - 3) = 0

⇒ x - 4 + 3y + 3 + 4z - 12 = 0

⇒ x + 3y + 4z = 13

Thus, The equation of plane with normal vector n = (1, 3, 4) passing through the point (4, −1, 3) in the scalar form is;

⇒ x + 3y + 4z = 13

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The length of 4 skateboards is 3 2/3 yards.

1 feet = 1/3 yards

5/2 x 1/3 = 5/6 yards

The second step is to multiply 5/6 yards by 4

5/6 x 4 = 20 / 6 = 3 2/3 yards

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Mary and Jerry's number will be 39 and 50.The sum of their numbers is 89.Which shows that the obtained answer is correct.

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

If in the linear equation one variable is present then the equation is known as the linear equation in one variable.

Let, Mary’s number be x

Mary’s number is eleven more than Jerry’s

Jerry's number is x+11

From the given condition sum of their numbers is 89.

[tex]x + (x + 11) = 89\\\\ 2x + 11 = 89\\\\ 2x = 89 - 11\\\\ 2x = 78\\\\ \frac{2x}{2} = \frac{78}{2} \\\\ x = 39[/tex]

Jerry's number will be;

[tex]x+11 \\\\ 39+11 \\\\ 50[/tex]

Hence the Mary and Jerry's number will be 39 and 50.

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