Lincoln invested $24,000 in an account paying an interest rate of 3% compounded
continuously. Brianna invested $24,000 in an account paying an interest rate of 3%
compounded daily. After 7 years, how much more money would Lincoln have in his
account than Brianna, to the nearest dollar?

Uhm... I’m sorry I don’t really know the answer to your question I’m just answering it for points....

Answer:

[tex]x\\[/tex] ± [tex]\frac{s}{\sqrt{n}}[/tex] = [tex]9.78[/tex] ± [tex]\frac{10.45}{\sqrt{60}}[/tex]

Step-by-step explanation:

x is the value of our population/sample mean. Given that it's 98.75, we substitute x for 98.75.

We follow this pattern for s and n, which are the standard deviation and sample size respectively, to fill out the rest of our equation. This means that s is 10.45 and n is 60

Since we know the formula is [tex]x\\[/tex] ± [tex]\frac{s}{\sqrt{n}}[/tex], we can input our new values.

This gives us our answer of [tex]9.78[/tex] ± [tex]\frac{10.45}{\sqrt{60}}[/tex]

TL;DR

I took the test and the answer was right

The interval in which the population mean $98.75 with standard deviation of $10.45 with a sample size of 60 is given by its lower and upper limit as given by: 98.75 ± 10.45/(√(60))

According to the empirical rule, also known as 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95% and 99.7% of the values lies within one, two or three standard deviations of the mean of the distribution.

[tex]P(\mu - \sigma < X < \mu + \sigma) \approx 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma) \approx 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma) \approx 99.7\%[/tex]

where we had  where mean of distribution of X is [tex]\mu[/tex]  and standard deviation from mean of distribution of X is [tex]\sigma[/tex] (assuming X is normally distributed).

Suppose X has has a distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], then, the distribution of the mean of samples of size n, drawn from the values of X, is normally distributed with mean equal to the mean of X, and standard deviation equal to [tex]\sigma/\sqrt{n}[/tex]

Symbolically, we write it as:

[tex]X \sim N(\mu, \sigma) \implies \overline{X} \sim N(\mu,\sigma/\sqrt{n} )[/tex]

(for large enough samples, n > 30)

For this case, we're specified that:

Then, the distribution of the sample mean is approximately normal distribution with mean $98.75 and standard deviation approximately [tex]10.45/\sqrt{60}[/tex]

Symbolically, we get:

[tex]X \sim N(98.75, 10.45/\sqrt{60})[/tex]

Then, using empirical rule, we find the limits for sample mean for which we're 68% sure that the sample mean will lie in that interval as one standard deviation (of the sample mean) away from its mean.

[tex]P\left( 98.75 - 10.45/\sqrt{60} < \overline{X} < 98.75 + 10.45/\sqrt{60}\right) \approx 68\%[/tex]

So, limits are:

[tex]98.75 \pm \dfrac{10.45}{\sqrt{60}}[/tex]

Thus, the interval in which the population mean $98.75 with standard deviation of $10.45 with a sample size of 60 is given by its lower and upper limit as given by: 98.75 ± 10.45/(√(60))

Learn more about empirical rule here:

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Answer:

x > 3 or x < 7

Step-by-step explanation:

2x - 8 > -2 or -2x < -14

2x > 6 or x < 7

x > 3

Answer:

Step-by-step explanation:

help me The science teacher brought a goldfish to her room at school. A total of 36 students voted on the name of the goldfish. The results of the vote are shown in the circle graph.

A circle graph with three sections is shown. The sections are labeled: Goldy, sixty degrees, Slinky, one hundred twenty degrees, Finny, one hundred eighty degrees.

Answer:

[tex]T_7 = 11[/tex]

[tex]T_n = 2n- 3[/tex]

Step-by-step explanation:

Given

[tex]S_n = n^2 -2n[/tex]

[tex]T_n = S_n - S_{n-1}[/tex]

Solving (a): T7

Substitute 7 for n in [tex]T_n = S_n - S_{n-1}[/tex]

[tex]T_7 = S_7 - S_{7-1}[/tex]

[tex]T_7 = S_7 - S_6[/tex]

Calculate S7 and S6

[tex]S_n = n^2 -2n[/tex]

[tex]S_7 = 7^2 - 2 * 7 = 35[/tex]

[tex]S_6 = 6^2 - 2 * 6 = 24[/tex]

So:

[tex]T_7 = 35 -24[/tex]

[tex]T_7 = 11[/tex]

Solving (b): Tn

[tex]T_n = S_n - S_{n-1}[/tex]

Where [tex]S_n = n^2 -2n[/tex]

Calculate[tex]S_{n-1}[/tex]

We have:

[tex]S_{n-1} =(n-1)^2 - 2(n-1)[/tex]

Open brackets

[tex]S_{n-1} = n^2 -2n + 1 -2n +2[/tex]

[tex]S_{n-1} = n^2 -2n-2n + 1 +2[/tex]

[tex]S_{n-1} = n^2 -4n + 3[/tex]

So:

[tex]T_n = S_n - S_{n-1}[/tex]

[tex]T_n = n^2 - 2n - (n^2 -4n + 3)[/tex]

[tex]T_n = n^2 - 2n - n^2 +4n - 3[/tex]

Collect Like Terms

[tex]T_n = n^2 - n^2- 2n +4n - 3[/tex]

[tex]T_n = 2n- 3[/tex]

Answer:

98 since vertical angels have same angles

Step-by-step explanation:

Answer:

For non-negative integers yes, it's 10 symbols.

Step-by-step explanation:

The symbols are the digits! 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.

Please note, that to represent negative numbers we use an additional symbol - and a . for fractions. I'm pretty sure the question is about the basics of the decimal system and the ten digits though.

Answer:

1st, 3rd, and 4th options are true

Step-by-step explanation:

Answer:

lewis has $179 more than mary

Lewis has the greater total amount of money than Mary by $879

Given the following data:

To determine who has the greater total amount of money and by how much greater is it:

Mathematically, simple interest is given by the formula:

[tex]S.I = PRT[/tex]

Where:

[tex]S.I = 3700 \times 0.032 \times 15[/tex]

S.I = $1,776

[tex]S.I = 3000 \times 0.059 \times 15[/tex]

S.I = $2,655

Therefore, Lewis has the greater total amount of money.

Next, we would find the difference in their simple interest:

[tex]Difference = 2655-1776[/tex]

Difference = $879

Read more on simple interest here: https://brainly.com/question/24341207

Answer:

X=9/4

Step-by-step explanation:

-3x+10=5x-8

Subtract 10 from each sides

-3x=5x-18

Subtract 5x from both sides

-8x=-18

Divide both sides by -8

x=9/4

I hope this helped

Step-by-step explanation:

let third angle be x

60° + 60° + x = 180° (Δ sum property)

x = 60°

so, this is a equilateral triangle (all Δ equal)

in equilateral triangle --> all sides are equal

so, therefore =>>

7x + 19 = 11x - 89

19 + 89 = 11x - 7x

108 = 4x

108 ÷ 4 = x

27 = x

so variable

1.) 7x + 19

= 7(27) + 19

= 189 + 19

= 208

2.) 11x - 89

= 11(27) - 89

= 297 - 89

= 208

Answer:

the slope of the line shows the rate of change of y relative to x

Answer:

Step-by-step explanation:

Slope, m, is a measure of the rate of change which is constant for linear equations. Mathematically it is defined as

m=(y2-y1)/(x2-x1)

Again for linear equations this is a constant value which tells you how much y, the dependent variable, increases/decreases with respect to the change in the independent variable x.

Answer:

y = k/(x+2) squared

substitute y and x to find the value of k.

k =50

nxt used the value of k with same formula:.

y= 50/ (8+2) squared

y =1/2

Answer:

m<FCE = 45°

Step-by-step explanation:

Given that ∆ABD ≅ ∆FEC, therefore,

<A ≅ <F

<B ≅ <E

<ADB ≅ <FCE

m<ADB = 45°

Therefore,

m<ADB = m<FCE = 45°

m<FCE = 45°

Answer:

Step-by-step explanation:

∡WXY = 138° - ∡ZXY

Answer:

8 roses

Step-by-step explanation:

First start by subtracting $18.69 by $5.25 because you already know how much the carnations cost and how much the bouquet cost in all. When you subtract 18.69 by 5.25 you should get $13.44. If each rose cost $1.68 then divide 13.44 by 1.68 to get the amount of roses in the bouquet.

Answer:

2 rides & 4 games

Step-by-step explanation:

2 rides=$8

4 games=$8

8+8=$16

Point (4,2), represents that Victoria played 4 games (x = 4) and went on 2 rides (y = 2).

A graph can be defined as a pictorial representation or a diagram that represents data or values.

The number of games Victoria played, x, and the number of rides Victoria went on, y.

Each game costs $2 and each ride costs $4, so we can set up the following system of equations:

2x + 4y = 16

x + y = 6

To graphically solve this system of equations, we can plot the equations on the same coordinate plane and find the point where they intersect. This point will represent the values of x and y that satisfy both equations.

To plot the equations, we can first graph the equation 2x + 4y = 16.

The slope is 2 and the y-intercept is 4, so we can plot the line by starting at the point (0,4) and moving 2 units up and 1 unit to the right to find the next point on the line.

We can then connect this point to the first point with a straight line to complete the graph of the equation.

Next, we can graph the equation x + y = 6 similarly.

The point will represent the values of x and y that satisfy both equations.

In this case, we can see that the lines intersect at point (4,2), which means that Victoria played 4 games (x = 4) and went on 2 rides (y = 2).

Learn more about the graphs here:

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Answer:

80 potatoes

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The length of each side is 12cm.

Explanation:

The perimeter of a square is calculated by the formula:

P=4a, where P=perimeter, and a=length of any side, all sides being equal in a square.

From the given data we write:

48=4a

Divide both sides by 4.

12=a

The length of each side is 12cm.

Answer:

I'll help if you need it.

Step-by-step explanation:

Answer:

3:5

Step-by-step explanation:

To find the simplest ratio, divide each number by 2:

6/2

= 3

10/2

= 5

So, the simplest ratio of triangles to squares is 3:5

Answer:

x = -2 and y = 1

Step-by-step explanation:

→ Rearrange x - y = -3 to make y the subject

-y = - x - 3 so y = x + 3

→ Substitute into 2x + y = -3

2x + x + 3 = -3

→ Simplify

3x + 3 = -3

→ Minus 3 from both sides

3x = -6

→ Divide both sides by 3

x = -2

→ Substitute x value into first equation

-4 + y = -3

→ Add -4 to both sides

y = 1

Answer:

b is the correct answer

Step-by-step explanation:

btw can i have brainliest please

Answer:

x = 4, y = 4 or you can say (4, 4)