9 ft19 ftPlease refer to the rounding rules in the instructions.Circumference of the base = 59.5feetArea of the base = 254.3square feetSlant height = 19feetHeight = 16.7feetLateral area =536.9square feetSurface area = 791.2square feetVolume =cubic feetBlank 1: 59.5Blank 2: 254.3Blank 3: 19Blank 4: 16.7Blank 5: 536.9Blank 6: 791.2Blank 7:

Joanne deposits $4,300 into a l-year CD at a rate of 2.3%, compounded daily.

a. What is her ending balance after the year, to the nearest cent?

b. How much interest does she earn, to the nearest cent?

c. What is her annual percentage yield to the nearest hundredth

Remember that

The compound interest formula is equal to

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

P=$4,300

t=1 year

r=2.3%=2.3/100=0.023

n=365

Part a

Find out the value of A

substitute the given values in the formula

A=$4,400.04

Part b

I=A-P

I=4,400.04-4,300

I=$100.04

Part c

we have

4,300 -----> represent 100%

so

Applying proportion

Find out how much percentage is 4,400.04

100/4,300=x/4,400.04

x=(100/4,300)*4,400.04

x=102.33%

therefore

102.33-100=2.33%

EXPLANATION

Given the expression:

Applying the cubic power to both sides:

Simplifying the cubic root with the cubic power:

Subtracting -a to both sides:

Adding z to both sides:

Simplifying terms:

Switching sides:

Answer:

x =2 y = -3

Step-by-step explanation:

hope it helps!!!!!

The unit rate he can drive in mile per gallon is 22 miles per gallon.

Unit rate can be defined as the ratio between two measurements with the second term as 1.

In other words, a unit rate describes the ratio of two different units for the quantity of one.

Therefore, the  unit rate in miles per gallon can be calculated as follows:

Hence,

unit rate = number of miles / number of gallons

number of miles = 330 miles

number of gallons = 15 gallons

unit rate = 330 / 15

Therefore,

unit rate =  22 miles per gallon

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They have to use 17.03 pounds of cashews and 17.03 pounds of nuts to make a 32 pounds mixture that sells for $5.75 per pounds

The cost of cashews per pounds = $7.20

The cost of nuts per pounds = $4.10

Consider the number of pounds of cashews as x and number of pounds of nuts as y

Total pounds of mixture = 32 pounds

The equation will be

x+y = 32

x = 32-y

Cost of the mixture for one pound = $5.75

Cost of the mixture for 32 pounds = 32×5.75

= $184

Then the equation will be

7.20x+4.10y = 184

Here we have to use the substitution method

Substitute the value of x in the equation

7.20(32-y)+4.10y = 184

230.4-7.20y+4.10y = 184

230.4-3.1y  = 184

-3.1y = 184-230.4

-3.1y = -46.4

y = 14.97 pounds

x+y = 32

x+14.97 = 32

x = 17.03 pounds

Hence, they have to use 17.03 pounds of cashews and 17.03 pounds of nuts to make a 32 pounds mixture that sells for $5.75 per pounds

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The graph of the linear equation:

y = -3x + 4

Can be seen in the image at the end.

Here we know that the equation for the line is:

y = k*x + 4

We know that this line goes through the point (2, -2), then we can replace these values in the above line so we get the value of k.

-2 = k*2 + 4

With this, we can find the value of k.

-2 - 4 = k*2

-6 = k*2

-6/2 = k = -3

Then the line is:

y = -3*x + 4

If we evaluate in x = 0, we get:

y = -3*0 + 4 = 4

So, at this point we know that the line passes through points (0, 4) and (2, -2), so to graph the line, we just need to graph these two points and draw a line that connects them, like in the example below.

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The area in square units of the hexagon will be 12√3.

What is Hexagon?

A polygon with six sides are called a hexagon.

Given that;

Jennifer makes a hexagon by arranging 6 equilateral triangles.

The length of one side of a triangle is 4.

Now, To find the area of hexagon, we find the height of the equilateral triangle and then multiply by the 6.

So, In ΔABC;

AB = BC = CA = 4

Then, Measure of DC = BD = 2

Now, using Pythagoras theorem to find height of triangle (AD) as;

AD² = AC² - DC²

AD² = 4² - 2²

AD² = 16 - 4

AD² = 12

Take square root both side;

AD = √12

AD = 2√3

So, The area of hexagon = 6 × Height of triangle

                                      = 6 × 2√3

                                      = 12√3

Thus, The area in square units of the hexagon will be 12√3.

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When we translate an object up, the values of x remain the same, but the values of y change by a positive value.

Zach began at 0.2 for the price of one piece of gum on the number line. Has moved eight times. The whole price is $1.60.

Since each hash mark is worth.2, moving eight times will result in 1.6, or eight times $0.20.

This is further explained below.

Generally, A number line is a depiction of a graded straight line that is used to represent real numbers visually.

It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.

A horizontal line with evenly spaced numerical increments is referred to as a number line.

How the number on the line may be answered depends on the numbers present. How a number is utilized depends on the issue it is associated with, such as when graphing a point

In conclusion, On the number line, Zach started at 0.2, which was equal to the cost of one piece of gum. Has relocated a total of eight times. The whole cost is a dollar and sixty cents.

Moving eight times will result in 1.6, which is equal to eight times $0.20, given that each hash mark is worth.2.

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Answer:

2:5

Step-by-step explanation:

6:15= 2:5

ANSWER

EXPLANATION

To find the surface area of the hemisphere, we apply the formula for the surface area of a hemisphere (without a base):

where r = radius = 7 ft

Therefore, the surface area of the hemisphere is:

To find the volume of the hemisphere, we apply the formula for the volume of a hemisphere:

Therefore, the volume of the hemisphere is:

When the function f is transformed to g, the equation is g(x) = 2x + 14 - 1

The equation of function f is given as

f(x) = 2x - 1

The transformation is given as

Horizontal shift of 7 units left.

The above transformation rule can be represented as

Horizontal shift of 7 units left.: (x, y) = (x + 7, y)

When the above rule is applied, we have the following equation

g(x) = f(x + 7)

So, we have

g(x) = 2(x + 7) - 1

Open the brackets

g(x) = 2x + 14 - 1

Hence, the equation of function g is g(x) = 2x + 14 - 1

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To find 5π/4 as terminal point, we will take the angle as 5π/4

The first coordinate is the x coordinate = cos θ

The second coordinate is the y coordinate = sin θ

Hence, the terminal of 5π/4:

The interest paid on the loan and the total amount paid are $84,320 and $152,320 respectively.

It is given in the question that:-

Money borrowed by the company (Principal) = $68,000

Time period for which the money is borrowed = 8 years

Simple Interest rate = 15.5 %

We have to find the interest paid on the loan and the total amount paid.

We know that,

Simple interest = (Principal * Interest * Rate)/100

Hence, we can write,

Simple interest = (68000 * 15.5 * 8)/100 = $84,320

Also, we know that,

Amount = Principal + Interest

Hence, we can write

Amount = 68,000 + 84,320 = $152,320

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Let's begin by listing out the information given to us:

(x, y) = (-2, -3), (5, 7)

The distance between the two points is given by:

Solution

find the slope of the line that goes through the given points (-2,-4) (1/4,5)

Therefore the slope of the line = 4

Image of the point (6,-9) after rotation in the cartesian plane of 270 degrees counterclockwise about the origin will be (-9, -6)

As per the question statement, we are supposed to find the image of the point (6,-9) after rotation in the cartesian plane of 270 degrees counterclockwise about the origin.

We should know that a 270° anticlockwise rotation is exactly the same thing as a 90° clockwise rotation.

So the point (x, y) becomes (y, -x)

So the image of the point (6,-9) after rotation in the cartesian plane of 270 degrees counterclockwise about the origin will be (-9, -6)

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The table containing the values of the inverse function is given at the end of the answer.

A function will have a set of points (x,y). In the inverse function, the values of x and y are exchanged with each other, hence the rule is:

(x,y) -> (y,x).

Hence, the points are found as follows:

The table containing these values is given at the end of the answer.

The tables are missing, and are given at the end of the answer.

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Probability - The value of P(AUB) =  0.557

What is Probability ?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Given,

P(A) = 0.2,

P(B) = 0.31 and

P(A/B) = 0.152,

Since, we know that

P(A⋃B) = P(A)+P(B)-P(A⋂B)

So, we have to find P(A⋂B)

We know that,

P(A/B) = P(A⋂B)/P(B)

Putting the values we get,

0.152 = P(A⋂B) / 0.31

P(A⋂B) = 0.152 x 0.31

P(A⋂B) = 0.047

Now, lets find the value of P(A⋃B)

P(A⋃B) = P(A)+P(B)-P(A⋂B)

Putting the values we get,

P(A⋃B) = 0.2 + 0.31 + 0.047

P(A⋃B) = 0.557

Hence the value of P(A⋃B) = 0.557

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The probability of the next car not being a white car is 0.92

The probability of an event is the chance or the likelihood that the event would occur.

Note that the chance or the likelihood is represented as a numerical value

The complete question is added as an attachment

From the attached question, we have the following parameters

P(White Vehicle) = 0.25

P(Car) = 0.36

P(White Car) = 0.08

Using the complement rule of probability, we have the following equation

P(White Car) + P(Not White Car)  = 1

Substitute the known values in the above equation

So, we have the following equation

0.08 + P(Not White Car)  = 1

Subtract 0.08 from both sides of the equation

So, we have

P(Not White Car)  = 1 - 0.08

Evaluate the difference

P(Not White Car)  = 0.92

Hence, the probability that the next car will not be a white car is 0.92

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The quadratic formula is given by th following formula:

where a, b and c are the coefficients of the quadratic equation. In this case, you have:

a = 6

b = 9

c = -22

replace the previous values into the quadratic formula and simplify:

Hence, the solutions for the given equation are 1.31 and -2.81

Answer:

The value of x will be 90°

Answer: 2x + 8

Step-by-step explanation:

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

6x - 4x = 2x

2 - -6 = 8

Given : Initial deposit or the principal amount = $ 9000

Rate of interest = 3.1 %

Compound interest annually

= principal (1 + r/ 100)^t

here put value principal rate and time period 1, 5 10 and 20 years

and we get the  amount for each time period        

than for interest = amount - principal we get interest    

as that we calculate all value:

given in the attachment

When interest on a balance in a savings or investment account is reinvested, you receive compound interest, which results in higher interest payments. Money makes money, a wise man once said. And money makes money by making more money. Compound interest speeds up the long-term growth of your savings and investments.

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Answer: THE ANSWER TO THAT IS B

Step-by-step explanation:

The number of iPhones that should be sold in 2017 (since growth is exponential) is $ 6,476,635 x 10⁶. See the explanation below.

Exponential growth is a data pattern that exhibits greater increases with time. Compounding produces exponential profits in finance. Compounding interest savings accounts may provide exponential growth.

The calculation for the above solution is as follows:

Recall that the formula for exponential growth is:

f(x) = a (1+r)ˣ

Where:

f(x) = exponential growth function

a = initial amount

r = growth rate

{x} = number of time intervals

Hence f(x) = 1.7 (1+ r)⁵

Note that x = 2017-2012 =5

r = (present value - past value)/ past value

Present value = 35.2

Past Value = 1.7

Hence r = (35.2-1.7)/1.7

r = 19.7058823529

Approximately 19.71

Hence,

f(x) = 1.7 (1+ 19.71)⁵

= 1.7 (20.71)⁵

= 1.7 x 3809785.2361

= 6476634.90137

Which is approximately = 6,476,635

Recall that our computation was done in millions hence the answer if left in standard notation is:

Increase in 2017 = $ 6,476,635 x 10⁶

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Considering the expression of a line, the statements:

about the line that passes through (-2, 0) and (2, -4) are true.

A linear equation o line can be expressed in the form y = mx + b

where

Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope m of said line can be calculated using the following expression:

m= (y₂ - y₁)÷(x₂ - x₁)

Substituting the value of the slope m and the value of one of the points in the expression of a linear equation, y = mx + b, the value of the ordinate to the origin b can be obtained.

Being (x₁, y₁)= (-2, 0) and (x₂, y₂)= (2, -4), the slope m can be calculated as:

m= (-4 - 0)÷(2 - (-2))

m= (-4)÷ 4

m= -1

Considering point 1 and the slope m, you obtain:

0= -1×(-2) + b

0= 2 +b

-2= b

Finally, the equation of the line that passes through the pair of points (-2,0) and (2,-4) is y= -x -2, wich has a slope of -1. The line intersects the x-axis at (−2, 0).

If x=0, you get:

0= -x -2

2= -x

2÷ (-1)=x

-2= x

Finally, the line line intersects the y-axis at (0, −2).

Your question was incomplete. Please check below the full content.

Which statements about the line that passes through (−2, 0) and (2, −4) are true? Select all that apply.

A. The slope of the line is 1.

B. The line intersects the y-axis at (0, −2).

C. The equation of the line is y = −x − 2.

D. The line intersects the x-axis at (−2, 0).

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The fact that a connection is proportional if its graph is a line that runs through its origin should be stressed. This can be used to find the ratio in the proportional relationship.

When the graph of a connection is a line passing through the origin, the connection is proportionate. If it is not a line or ray that fails to do this, the ratio is not proportional. The equation for the proportionality constant is K = y/x. This is the same equation used to get the slope of a straight line with respect to the origin.

If the graph of a relationship is a line or ray that goes through the origin, the relationship is proportional. If the line or ray does not pass through the origin, it is not proportional.

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Answer:

-5/4

Step-by-step explanation:

debemos de usar la ecuacion dy/dx