Can someone please help me out with this

The difference between the two investments after 35yrs is $4700 and  Bank of America is offering higher interest than 5/3rd banks.

Most interest is compounded semiannually, quarterly, or monthly. Continuous compounding assumes that interest is compounded indefinitely and reentered on the balance sheet. The continuous compounding formula takes into account four variables.

For the given question,

5/3rd bank offers continuous interest:

For continuous interest, A = P[tex]e^{rt}[/tex]

where,

P = the initial amount

A = the final amount

r = the rate of interest

t = time

e is a mathematical constant where e ≈ 2.7183.

A = 10000 × [tex]2.71^{0.042*35}[/tex]

A =  10000 × 4.04

A = $40400 approximately

Interest = Amount - Principle

Interest = 40400 - 10,000

Interest = $30400

Bank of America offers compound interest:

For compound interest:

[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]

A = 10000 × 4.51

A = $45100

Interest = Amount - Principle

Interest = 45100 - 10,000

Interest = $35100

The above calculation explains Bank of America is offering higher interest than 5/3rd bank by $35100 - $30400 = $4700

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When we reflect a point over y = x, the x and y coordinates become swapped and switch places, that is why (x,y) results to (y,x).

Therefore, the answer is true.

67 is a prime number and 1 is neither prime nor composite number.

What is prime number and composite number?

A prime number is a number which has exactly two factors i.e. '1' and the number itself. A composite number has more than two factors, which means apart from getting divided by 1 and the number itself, it can also be divided by at least one positive integer.

The given two numbers are 1 and 67.

Since, the prime numbers from 1 to 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

67 has exactly two factors i.e. 1 and the number 67 itself.

Therefore, 67 is a prime number.

Due to the fact that it only has one factor, 1, number is not a prime.

Hence, 67 is a prime number and 1 is neither prime number nor composite number.

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The number of advance and same day tickets sold are 25 and 35 respectively.

let

x + y = 65

25x + 30y = 1800

From (1)

x = 65 - y

Substitute x = 65 - y into (2)

25x + 30y = 1800

25(65 - y) + 30y = 1800

1625 - 25y + 30y = 1800

5y = 1800 - 1625

5y = 175

y = 175/5

y = 35

Substitute y = 35 into (1)

x + y = 65

x + 35 = 65

x = 65 - 35

x = 25

Therefore, Simultaneous equation is used to determine the number of advance and same day tickets sold.

25 advance tickets and 35 same day tickets were sold.

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As we Know that, ΔTUV[tex]\sim[/tex] ΔXWV

So, for the given proportion TV(y) = 21.

What is Proportion?

A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls. 0.25 are male (by dividing 1 by 4)

What is Ratio?

The link between two or more things in terms of quantity, amount, or size.

Given that,

ΔTUV[tex]\sim[/tex] ΔXWV

∠T = ∠X

∠U = ∠W

∠TUV = ∠XWV

So, TU/WX = TV/WV

10/10 = TV/21

1 = TV/21

TV = 21

So, for the given proportion the value for the side TV(y) = 21

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Answer: I am pretty sure that the answer is flipping a coin twice and recording the result

Step-by-step explanation: my reasoning is you can compare the results unlike the rest

Answer: Inequality form: x is less then or equal to 6 or xis greater then or equal to 8

Interval Notation: (-infinity,6] u [8,infinity)

Answer:

x ≤ 6 ∨ x ≥ 8

Step-by-step explanation:

x-7 ≥ 0

when

x≥7

if x≥7

x-7≥ 1

x ≥ 7 + 1

x ≥ 8

if x < 7

-x + 7 ≥ 1

-x ≥ -7 + 1

-x ≥ -6

x ≤ 6

Final solution

x≤ 6 ∨ x ≥ 8

Answer:

Square footage

Step-by-step explanation:

(a) Angle B = Angle C = 65 degree.

(b) Angle x and Angle y is 70 degree .

Given,

In the question:

9. Write a sequence of rigid motion to take figure ABC  to figure DEF.

Now According to the question:

Take a figure ABC to figure DEF

So, CB = FE

      BA = ED

Angle B = Angle E

10.(a) To find the unknown measure:

In triangle ABC

Angle A = 90 degree

To find the Angle B and C

Let the angle B and C be x

We know that :

Sum of angle triangle is 180 degree

50 + x + x = 180

50 + 2x = 180

2x = 180 - 50

2x = 130

x = 65°

Hence, Angle B = Angle C = 65 degree.

10. (b)  Given,

Angle ABC = Angle BAC

If two sides of a triangle are congruent, then the angles opposite those sides are congruent.

Substitute Angle ABC = y and  Angle BAC  = x into Angle ABC = Angle BAC .

Angle (ABC + ACB + BAC) = 180 degree (Angle sum theorem)

=> y + 40 + x = 180

=> x + 40 + x = 180

=> 2x = 180 - 40

=> 2x = 140

x = 70°

Hence, Angle x and Angle y is 70 degree .

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A is the equation representing proportional relationship .

Relationships between two variables that are proportional occur when their ratios are equal. Another way to consider them is that in a proportionate relationship, one variable is consistently equal to the other's constant value. The "constant of proportionality" is the name of this constant.

If the y intercept is anything but 0, then the linear function is not proportional. So C is not proportional (2 is the y intercept)

B is a quadratic and it will not give proportional results. y/x is not a constant.

D has no x value and is not going to give a proportional result. y/x is undefined.

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To find the new coordinates, we just have to use the given rule

Let's apply it to each vertex

The values of c and d that would make that the given expression represent a real number are c = –3, d = –2.

For the given question;

The expression is given as;

= i(2 + 3i)(c + di)

Simplify the expression;

= i(2c + 2di + 3ci + 3di²)

= 2ci + 2di² + 2ci² + 3di³

= (2c - 3d)i - 2d - 3c

In order is for expression to yield a real number, the coefficient of must now be zero.

Check the values from option;

2c - 3d = 2 x 2 - 3x 3 = -5

2c - 3d = 2 x -2 - 3 x -3 = -13

2c - 3d = 2 x 3 + 3 x -2 = -1

2c - 3d = 2 x -3 -3 x - 2 = 0

Thus, the correct values for the expression to becomes real number is

c = –3, d = –2.

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A Point-Slope equation of a straight line models this scenario: y -50,000 = -3,000(x -10).

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

We can recognize any points of the graph.

(0,80000) ; (10,50000)

Given that;

y -50,000 =______(x -10)

We need to find the slope.

Slope = Change in y / Change in x

Slope = 80,000 - 50,000 / 0 - 10 = 30,000 / -10

= -3,000

The slope is equal to -3000 that is Choice A; y -50,000 = -3,000(x -10)

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The complete question is;

The newspaper in Haventown had a circulation of 80,000 papers in the year 2000. In 2010, the circulation was 50,000. With x = 0 representing the year 2000, the graph below models this scenario.

5 + 3 = 8

3 + 5 = 8

The represent the same expression

The slope-intercept form of the equation of a straight line is given to be:

where m is the slope and b is the intercept on the y-axis.

The slope is calculated using two points on the line by the formula:

Therefore, for this line, the slope will be:

Therefore, this value for the slope is substituted back into the equation for the line:

At the point (6, 0), we can calculate the value of b to be:

Therefore, the equation is:

What percent of 120 is 180

we know that

120 represent the 100%

so

Applying proportion

100/120=x/180

solve for x

x=(100/120)*180

x=150%

Answer:

the sum of an even whole number and odd whole number is always odd ,

True

If in a video game, Shar has to build a pen shaped like a right triangle for her animals. The  feet of fencing that is needed for the entire animal pen is : 24 feet.

First step is to make use of Pythagorean theorem formula to find the other side of the triangle

c= √a²+b²

Where:

a=Side of right triangle

b=Side of right triangle

c=hypotenuse

= √(10² - 6²)

=√(100 - 36)

= √62

= 8 feet

Now let find the perimeter of the triangle

Perimeter of the triangle = 6 feet + 8 feet + 10 feet

Perimeter of the triangle = 24 feet

Therefore the feet needed is 24 feet.

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Answer:24 feet

Step-by-step explanation:i took a test

Answer:

Step-by-step explanation:

This is a sketch graph of y= sin x° for 0 ≤ x ≤360.

It is called as Sine curve. A mathematical curve described in terms of the sine trigonometric function, of which it is the graph, is known as a sine wave, sinusoidal wave, or simply sinusoid. It is a smooth periodic function and a particular kind of continuous wave.

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The given statement expression is equivalent to -2 [tex]\frac{1}{10}[/tex].

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. In mathematics, a complex number is an element of a number system that extends the real numbers with a specific element denoted [i], called the imaginary unit and satisfying the equation -

[tex]{\displaystyle i^{2}=-1}[/tex]

Every complex number can be expressed in the form a + bi, where [a] and [b] are real numbers

We have the following statement -

3 and one-tenth times negative 6 times seven-twelfths

We can write -

3 (1/10 x - 6) × 7/12

- 3 [tex]\frac{3}{5}[/tex] × 7/12

-18/5 × 7/12

-3/5 x 7/2

- 21/10

- 2 [tex]\frac{1}{10}[/tex]

Therefore, the given statement expression is equivalent to -2 [tex]\frac{1}{10}[/tex].

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The zero of the function m = 25p - 200 is, p = 8 represents her break even.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given,  He sells each painting for $25, and he spent $200 on supplies to make the paintings.

The function m = 25p - 200 represents the profit m that Julio earns after selling p paintings.

The zeroes of the function is when she break even,

At p = 8 means after selling 8 paintings she will have break even as,

m = 25(8) - 200.

m = 200 - 200.

m = 0.

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Answer: 2.5, 5.4

Step-by-step explanation:

[tex]-16t^2 +126t=213\\\\16t^2 -126t+213=0\\\\t =\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(213)}}{2(16)}\\\\t \approx 2.5, 5.4[/tex]

A line in slope-intercept form is represented by the following equation:

Parallel lines have the same slope, then if the line is parallel to the line y=-2x+5, the slope of the parallel line would be -2 too.

Now, by the given point (2,1) and knowing the slope of the line, we can use the slope-point form of the line equation to get the slope-intercept form:

Substituting:

Notice that the parallel line would be the same original line, y=-2x+5.

13.

13x4 is 52 which is the largest integer that's less than 56.

14 x 4 is 56 which is equal or less than.

Answer: Width = 4.7 meters, Length = 6.7 meters

Step-by-step explanation:

Let the width be w. Then, the length is w+2.

[tex]w(w+2)=32\\\\w^2 +2w=32\\\\w^2 +2w-32=0\\ \\ w=\frac{-2 \pm \sqrt{2^2 -4(1)(-32)}}{2(1)}\\\\w \approx 4.7\\\\\implies w+2 \approx 6.7[/tex]

The probability of all four women being on the search committee as members in it is 1/273.

We have 15 people in total out of which there are 10 men and 5 women. We need four people on the committee out of these 15.

The probability of that happening can be calculated using the formula -

= Probability of all four women getting selected/Probability of all getting selected

= (5!/4!.1!) / (15!/4!11!)

= (5!/4!1!) * (4!11!/15!)

= (5*4*3*2*1) / (15*14*13*12)

= 1/273

From this, we know that if we need to have all four women as members of the search committee, the probability of that happening is 1/273.

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-4Answer:

Step-by-step explanation:

Answer:

-7 + 3 = -4

Step-by-step explanation:

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The value of u is -5/3 < u < 5/3

We need to calculate the value of u

-2|3u| +5 > -5

-2(3u) + 5 > -5

-6u + 5 > -5

-6u > -10

6u < 10

3u < 5

u < 5/3

-2(-3u) + 5 > -5

6u + 5 > -5

6u > -10

3u > -5

u > -5/3

Therefore, the value of u is -5/3 < u < 5/3

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the initial expression is:

so to rest them we want to have the same radical so we can rewrite the root of 20 so:

Answer:

563.7

Step-by-step explanation:

add 79 + 14.95 and multiply that by 6