Identify the domain of the function shown in the graph

The compound interest calculated for 10 years annually, semi-annually, quarterly, monthly, and daily are (a) $2195.05,  (b) $2206.18  (c) $2211.88 (d) $2215.75, and, (e) $2217.63

The formula for Compound Interest is

Amount = Principal X (1 + r/n100)ⁿˣ

where,

Principal = original mount

n = no. of times the interest is applied

t = time period

Here,

Principal = $1400

x = 10

r = 4.6

a)

Since it is compounded annually, the interest will be given 10 times in 10 years. therefore, once a year

Hence,

n = 1

Amount = 1400 X (1 + 4.6/100)¹⁰

= 1400 X (104.6/100)¹⁰

= 1400 X (1.046)¹⁰

= $2195.05

b)

Since the interest is compounded semi-annually here, it will be calculated twice a year.

Hence, n = 2

Therefore we get

Amount = 1400 X (1 + 4.6/200)²⁰

= 1400 X (204.6/200)²⁰

= 1400 X (1.023)²⁰

= $2206.18

c)

Since it is compounded 4 times a year now,

n = 4

Hence we get

Amount = 1400 X (1 + 4.6/400)⁴⁰

= 1400 X (1.0115)⁴⁰

= $2211.88

d)

Here, the interest is calculated 12 times a year

Hence we get

Amount = 1400 X (1 + 4.6/1200)¹²⁰

= 1400 X (10038)¹²⁰

= $2215.75

e)

Here we are told to ignore leap years, hence we are only going to consider a year to have 365 days.

Hence,

n = 365

Therefore, we get

Amount = 1400 X (1 + 4.6/36500)³⁶⁵⁰

= 1400 X (1 + 4.6/36500)³⁶⁵⁰

= 1400 X (1.00012)³⁶⁵⁰

= $2217.63

Correct Question

If 1400 dollars is invested in an account for 10 years. find the value of the investment at the end of 10 years if the interest is:

(a) 4.6% compounded annually

(b) 4.6% compounded semiannually

(c) 4.6% compounded quarterly

(d) 4.6% compounded monthly

(e) 4.6% compounded daily (ignore leap years)

To know more about Compound Interest visit

https://brainly.com/question/29311315

#SPJ4

Answer: 25 degrees

Step-by-step explanation:

Assuming that both triangles are to be connected and that they form a rectangle,

angle x can be found by subtracting 65 degrees from 90 degrees.

(all corners of rectangle=90 degrees)

90-65=25

Answer:

Step-by-step explanation:

Let's break down the problem:

Quotient =  result obtained by dividing one quantity by another

So its division of x (a number implying variable) by 6

Then it says equal to 2 so we can piece together an equation like this

x/6 = 2

Then we use algebra to solve it

6(x/6)= (2)6

x = 12

So 12 is the unknown number

The rectangle's area is growing at a rate of 170 cm per second.

Given that,

Area of Rectangle given by.

A = length x width

A = LW

L =length of Rectangle

W =width of Rectangle

Now, dA/dt = W dl/dt + l dw/dt

dA/dt is the rate of change of area of the rectangle

dl/dt is the rate of change of length of the rectangle

dw/dt is the rate of change of width of the rectangle

at  L = 40cm, W= 15 cm

dw = 2 cm/s,

dl = 6 cm/s,

dA = ?

dA/dt = W dl/dt + l dw/dt

         = 15x6 + 40x2

         = 90 +80

          =170 cm /sec

Thus, the area of the rectangle increasing at 170 cm /sec

Learn more about Area of Rectangle :

brainly.com/question/8663941

#SPJ4

Answer:

.444....

Step-by-step explanation:

4 out of 9 is   4/9      or   4 ÷ 9 = .444...

The probability of an event is 0.29,0.06. An event's probability is always between 0 and 1.

When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood that something will occur by the likelihood that it won't.

-0.5 cant be a probability because it is less than 0

0.29 can be a probability because it is more than zero.

To learn more about probability refer to:

https://brainly.com/question/25870256

#SPJ13

The numbers that could be a probability of an event are  0.29 and 0.06

An event's probability is always between 0 and 1. (inclusive).

This implies:

There can be just one.

It must be zero or less.

Evaluation of Option (a) - 0.5

This cannot represent probability (b) 0.29 because it is less than 1,

This can be used to represent probability (c) 0.06 since it lies between 0 and 1.

This can be used to indicate probability (d) 1.18 since it is less than 1.

Given that this is larger than 1, it cannot be a probability (e) 0

A probability is not zero.

This ranges from 0 to 1, so it can be used to express probability.

Therefore, 0.29 and 0.06 can be used to indicate probabilities.

To learn more about probability refer to:

https://brainly.com/question/24756209

#SPJ13

The length of the x is 4.8 units

In the given figure

There is one circle and 2 chords

The chord of the circle is defined as the line segment joining any two points one the circumference of the circle

There are two chords in the figure, those are BD and AC

We know that

DE × EB = AE × EC

This is the rule of chords in the circle

The length of DE = 10 units

The length of EB = x units

The length of AE = 6 units

The length of EC = 8 units

Substitute the values in the equation

10 × x = 6 × 8

10x = 48

x = 48/10

x = 4.8 units

Hence, the length of the x is 4.8 units

Learn more about chord here

brainly.com/question/19008587

#SPJ1

The percent of the variation in the amount of money earned can be explained by differences in the number of hours worked 20.8%.

Given that, the correlation coefficient (r) between the number of hours worked x and the amount of money earned y is 0.456.

The correlation coefficient describes how one variable moves in relation to another. A positive correlation indicates that the two move in the same direction, with a value of 1 denoting a perfect positive correlation. A value of -1 shows a perfect negative, or inverse, correlation, while zero means no linear correlation exists.

The percent of the variation in the dependent variable that can be explained by the independent variable is called coefficient of determination, which is r².

In this case, r = 0.456. So r² = 0.456² = 0.208

That means 20.8% of the variation in the amount of money earned can be explained by differences in the number of hours worked.

Therefore, the percent of the variation in the amount of money earned can be explained by differences in the number of hours worked 20.8%.

Learn more about the correlation coefficient here:

https://brainly.com/question/27226153.

#SPJ1

a. The ramp dimensions of 15 feet away and 3 feet above do not meet the ADA guidelines.

b. A measurement that would meet the guidelines is the ramp starting 39 feet away, with a height of 3 meters.

The verification if the ramp meets the guidelines is made with the slope of the ramp, which is the ratio of the vertical distance of the ramp by the horizontal distance of the ramp, obtained dividing these two measures.

The measures are given as follows:

Hence the ratio is given as follows:

3/15 = 1/5.

The ratio is greater than the threshold of 1/12, hence the ramp does not meet the guideline.

Keeping the vertical distance, the adequate horizontal distance is obtained multiplying the vertical distance by 13, as the ratio would be of 1/13, hence:

13 x 3 = 39 feet.

More can be learned about the slope concept at brainly.com/question/18090623

#SPJ1

The required value of the number of sides ( n ) is 17.

What is polygon?

A closed, two-dimensional object composed of straight lines is called a polygon. In most cases, we can quickly determine the polygon's number of sides from its name.

Given, two of the exterior angles of an n-sided polygon are 25° & 26°

So, the sum of exterior angle = 25° + 26° = 51°

three of its interior angles are 161º each

So, each exterior angle = 180° - 161° = 19° .

sum of three exterior angles = 19*3 = 57° .

Then,

Remaining total angles = n - (2 + 3) = (n - 5).

And, the remaining interior angles are 159° each.

So, each exterior angle of the remaining angles = 180° - 159° = 21°.

sum of all (n -5) exterior angles remaining = 21(n - 5) = (21n - 105°) .

Now,

Sum of all exterior angles = 360°

or, 51° + 57° + (21n - 105°) = 360°

or, 21n + 108° - 105°  = 360°

or, 21n + 3° = 360°

or, 21n = 360° - 3°

or, 21n = 357°

or, n = 357/21 = 17

Hence, The required value of n is 17.

To learn more about polygon

https://brainly.com/question/20110859

#SPJ13

Answer:

Step-by-step explanation:

The answer is D.

The rule for perpendicular lines is that the slope will be the negative reciprocal. Because this equation is in slope-intercept form, the coefficient of x is the slope. -7/5 becomes 5/7. Our new equation is y=5/7x+b. Plugging in (5,3), we see that b is equal to -4/7. Our equation is then y=5/7x-4/7

Answer:

80

Step-by-step explanation:

16x5=80

Answer:9x>6=76

Step-by-step explanation:9x>6=76

(a) The nth term of the sequence is given by A(n)=195 + (n - 1)10.

(b) The 12th term of the sequence is A(12) = 305.

One arithmetic progression with a common difference of 2 is the sequence 5, 7, 9, 11, 13, 15,...

The term "finite arithmetic progression" or "arithmetic progression" refers to a limited segment of an arithmetic progression.

A mathematical sequence has the following structure: a, a+d, a+2d, a+3d, etc., up to n terms. The initial term is a, the shared distinction is d, and n is the total number of words. Find the AP, the first term, the number of terms, and the common difference for the computation using the arithmetic sequence formulae. To determine the nth term, sum, or common difference of a given arithmetic sequence, many formulae related to arithmetic series are utilized.

A(n)=195+(n-1)10

The given arithmetic sequence is 195, 205, 215, 225,.....

The first term a =195

The common difference d= 205-195

d =215-205

d =225-215

So, d = 10

(a) The nth term is given by

A(n)=a+(n-1)d

A(n)=195+(n-1)10

(b) For n=12, the 12th term is given by

A(12)=195+11(10)

A(12)=305

Therefore, A(n)=195+(n-1)10

And A(12)=305

To know more about the arithmetic sequences, visit:

https://brainly.com/question/15412619

#SPJ1

Answer:

Step-by-step explanation: 1 is the mode it has the most numbers that repeat

Answer:

The mode is 1.

Step-by-step explanation:

The mode is the number that occurs in a set the most. You can remember this as the word "most" and "mode" sounding similar.

The distance between the light house and the farthest island is 68 miles

The distance between the light house and the farthest island can be calculated by using the distance formula

The distance formula is d=√((x2 – x1)² + (y2 – y1)²).

d=√((61 – (-7))² + (9 – 9)²)

d = √(61 +7)²

d = 68

If each unit on the graph represents 1 mile

There are 68 units in the graph, so the light house is 68 miles away the farthest island

Therefore, The distance between the light house and the farthest island is 68 miles

To learn more about distance formula refer here

https://brainly.com/question/7243416

#SPJ9

The probability of the experiment is = 0.375, 0.665.

acc  to our question-

learn more about probability click here:

brainly.com/question/13604758

#SPJ4

Answer:

Nathan

Step-by-step explanation:

4.76 / 2.5

= (476/100) / (25/10)

= (476/100) * (10/25)

= 238/125

= 1.904

Thus, Nathan is right in saying that the decimal is incorrectly placed in the quotient of the given answer 0.19

The number of people travelled by train from the station on tuesday is 357.

Let us assume the number of people who travelled by train from the station on tuesday be x. Using the concept of ratio and proportion to solve and calculate x.

Forming the ratio-

20 : 17 = 420 : x

Solving the ratio and proportion for the value of x

x = (420 × 17) ÷ 20

Performing multiplication in numerator

x = 7140 ÷ 20

Performing division on Right Hand Side of the equation

x = 357

Therefore, based on the information, 357 people used to travel.

Learn more about ratio and proportion -

https://brainly.com/question/12024093

#SPJ4

The angle formed by 7th Avenue and Broadway at The Shake Hut's corner measures 126°.

An expression that depicts the relationship between two or more numbers and variables is called an equation.

If we consider x to be the angle opposite the Pizza Palace, then x = 54°

Also:

The snake hut plus x equals 180

54 plus The Snake Hut = 180

126° is the snake hut.

The angle formed by 7th Avenue and Broadway at The Shake Hut's corner measures 126°.

Learn more about Angle here

https://brainly.com/question/16852240

#SPJ4

Throughput is often a dependent variable with "bits per second" as its unit.

what is unit and measurment?

learn more about units and measurment click here:

https://brainly.com/question/4804631

#SPJ4

Answer:

x=10

Step-by-step explanation:

4x+5x+angle g should equal 180 degrees total.

with this in mind, we can subtract angle g from 180, as it is know,. (180-90)

so 4x+5x=90. 9x=90, x=10.

hope this helps.

Check the picture below.

Answer: Either C. or D.But I'm sure it's D.

Step-by-step explanation:

The Area of the circle is 149.6 when the radius is 6.9cm.

Given that,

The radius is 6.9cm when the pi value is 3.142

Find the circle's area is what we must do.

We know that,

Radius is 6.9cm

r= 6.9cm

The space a circle occupies in a two-dimensional plane is referred to as its area. As an alternative, the area of a circle is the area included within the circle's perimeter.

Area of the circle is πr²

Area of the circle= 3.142×6.9²

Area of the circle= 3.142×47.61

Area of the circle=149.6

Therefore, The Area of the circle is 149.6 when the radius is 6.9cm.

To learn more about circle visit: https://brainly.com/question/11833983

#SPJ9

Answer: 2x^2 -6x

Step-by-step explanation:

First you should distribute the x's as shown:

(x)(x)+(x)(−3)+(3)(x)+(3)(−3)+x2+−6x+9=x2+−3x+3x+−9+x2+−6x+9

Then combine Like terms:

↓x2+−3x+3x+−9+x2+−6x+9=↓

↓(x2+x2)+(−3x+3x+−6x)+(−9+9)↓

2x2+−6x

Hope this helped... :)

By identifying the vertex of the function, we conclude that it is increasing for:

x > -1

Here we have an absolute value function:

f(x) = |x + 1| - 3

This absolute value function has a positive coefficient, which means that the function opens upwards, so it looks like a regular "V" letter.

The function is increasing when, reading from left to right, we see that the line goes upwards. And for functions like this, this happens for values of x larger than the vertex x-value.

For:

f(x) = |x + 1| - 3

The vertex is at (-1, -3)

Then the function is increasing for x > -1

Learn more about absolute value functions:

https://brainly.com/question/5012769

#SPJ1

The surface area of the triangular prsim is 290.4 in² and the right option is B. 290.4 in².

Surface area is the space occupied by a two-dimensional flat surface is called the area. It is measured in square units.

To calculate the surface area of the triangular prism, we use the formula below.

Fromula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the right option is B. 290.4 in².

Learn  more about surface area here: https://brainly.com/question/1297098

#SPJ1

The length of AD in the parallelogram is 143 cm.

A parallelogram is a quadrilateral with opposite sides parallel to each other. The opposite angles of a parallelogram are equal. Two adjacent or consecutive angles of a parallelogram are supplementary.

Hence,

2x + 72 + 2x - 20 = 180

4x + 52 = 180

4x = 180 - 52

4x = 128

divide both sides by 4

4x / 4 = 128 / 4

x = 32

Therefore,

∠A = 2(32) + 72 = 64 + 72 = 136 degrees

z = 136°

Therefore,

AC = BC = BD = AD

AC = z + 7

AC = 136 + 7

AC = 143 cm

Hence,

AD = 143 cm

learn more on parallelogram here: https://brainly.com/question/10930298

#SPJ1

The domain of the function d(t)=1/2t+6 is (-∞, ∞) and the range of the function is (-∞, ∞).

Similar to how we input different numbers into functions, we also receive new numbers as the outcome. The two main characteristics of functions are domain and range.

A function's domain and range are its constituent parts. A function's range is its potential output, whereas its domain is the set of all possible input values. Range, Domain, and Function. A is the domain and B is the co-domain if a function f: A  → B exists that maps every element of A to an element in B. 'b', where (a,b) R, provides the representation of an element 'a' under a relation R. The set of images is the function's range.

The domain of the function d(t)=1/2t+6 is given by

Domain: (-∞, ∞), {x|x ∈ R}

The range of the function is given by

Domain: (-∞, ∞) , {y|y ∈ R}

To know more about the domain and range, visit:

https://brainly.com/question/28135761

#SPJ1

The width of the rectangle is 4 inches and length of the rectangle is 8 inches.

Given,

The width of the rectangle = x inches

The length of the rectangle = x + 4 inches

Perimeter of the rectangle = 24 inches

We have to find the dimensions of the rectangle;

Here,

Perimeter of rectangle = 2(length + width)

So,

24 = 2(x + 4 + x)

24/2 = 2x + 4

12 - 4 = 2x

x = 8/2

x = 4.

That is,

Width of the rectangle = 4 inches

Length of the rectangle = 4 + 4 = 8 inches.

Learn more about rectangle here;

https://brainly.com/question/14991231

#SPJ1