6

The inequality shows that the number has to be equal to or greater than 6.

The inequality shows that the number has to be equal to or greater than 6.

peter deposited $7,790 into an account that earns 4 5/8% interest, compounded annually. calculate the interest peter will earn after 42 months. how much will peter have in his account after 42 months?

The **interest **earned by **Peter **after 42 months is $1,335.60 and the **total** **amount** in his **account **is $9,125.60.

The formula for **compound interest **is expressed as;

A = P(1 + r/n)^nt

Where A is accrued amount, P is principal, r is interest rate, n is compound, and t is time period.

Given the data in the question;

Principal P = $7,790Annual interest r = 4 5/8%Compounded annually n = 1Time t = 42 monthsAccrued amount A = ?Interest I = ?First, convert the **interest rate **to decimal.

Rate r = 4 5/8% = (4×8 + 5 )/8%

Rate r = 37/8%

Rate r = 4.625%

Rate r = 4.625/100 = 0.04625 per pear

Next, convert time from months to years

Time t = 42 month = ( 42/12 )years

Time t = 3.5 years

To determine the **accrued amount**, plug the given values into the **compound interest formula **and solve for A.

A = P(1 + r/n)^nt

A = $7,790(1 + 0.04625/1)^( 1 × 3.5 )

A = $7,790(1 + 0.04625 )^( 3.5 )

A = $7,790(1.04625 )^( 3.5 )

**Accrued amount **A = $9,125.60

Note that; Accrued amount A = Principal P + Interest I

Hence;

Interest I = A - P

Interest = $9,125.60 - $7,790

**Interest **= $1,335.60

**Amount **in the **account** after 42 months is the same as the **accrued amount **A, this is $9,125.60.

Therefore, the **interest **earned is $1,335.60 and the **accrued amount **is $9,125.60.

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I need help with the following question.

**Answer:**

**A**

(Look at the screenshots below)

1st screenshots shows the "moved down to two units"

2nd screenshot shows the"flipped over a vertical line that lines halfway between the two triangles"

write as a single fraction:

2/x+2 + 3/2x+1

**Answer:**

**3x2+6x+4 2x**

hope this helps !!

**HAVE A AMAZING DAY **

**Answer:**

**(6x+7)/2x**

**Step-by-step explanation:**

2/x+**2** + 3/2x+**1**

2/x+**2x/x** + 3/2x+**x/x [Convert the bolded numbers into fractions with x in the denominator.**

**2/x+2x/x + **3/2x** + x/x ** **[Convert the bolded numbers so that the denominator becomes 2x]**

**4/2x+4x/2x + **3/2x** + 2x/2x**

4/2x+4x/2x + 3/2x + 2x/2x ** [Now that all numbers have the same denominator, we can add the numerators]**

**(**4+4x + 3 + 2x)

(6x+7)

**(6x+7)/2x [Place the denominator, 2x, back into the fraction]**

is y=1000x proportional?

**Answer:**

has a proportional relationship with a constant of proportionality of 1000.c

**Step-by-step explanation:**

y=1,000x,y=1,000x

what would happen if you divide 8/5 instead of 4/5

**Answer:**

The value would double

**Step-by-step explanation:**

4/5 is half of 8/5

**Answer:**

4/5 is half of 8/5 so it got doubled

Find the unit rate. It took Timothy four days to finish 1/5 of his book. How much of the book did he read per day?

Group of answer choices

1/20 of the book

4/5 of the book

5/3 of the book

3/4 of the book

**Answer:**

Timothy read 1/20 of the book each day

joseph can ride his bike 32 miles in 5 hours. kyle can ride his bike 20 miles in 3 hours who would ride farther in 15 hours explain .

Kyle. 32/5=6.4 and 20/3=6.6, that means Kyle is going further because 6.4<6.6 you can also multiply these by 15 to get exact numbers: 6.4•15=96 and 6.6•15=99, which means Joseph rides 96 miles in 15 hours and Kyle rides 99 miles in 15 hours

In finding the solution of the equation: 5 - 3x = 2 + 9, 3x is added to both sides of the equation first. Which of the following should be done next?

add -9

add -5

add -2x

The next **step **in solving the **equation **5 - 3x = 2 + 9 is (a) add -9

From the question, we have the following equation that can be used in our computation:

5 - 3x = 2 + 9

When 3x is added to both sides, the **equation** becomes

5 = 2 + 9 + 3x

The next step is to **eliminate **9 or 2 from the variable term

This can be done by adding -9 to both sides

So, we have:

-9 + 5 = 2 + 3x

Hence, the next step is (a) add -9

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the positive difference between the product of 78 and 36 and their sum is

**Answer:**

**2694**

**Step-by-step explanation:**

**product of 78 and 36=78*36=2808**

**sum =78+36=114**

**difference between them =2808-114=2694**

Question 8 of 8 Pls answer quickly pls and thank you

What are all the possible ways to classify the following shape?

shape

A. polygon, quadrilateral, trapezoid

B. polygon, quadrilateral, parallelogram, trapezoid

C. quadrilateral, trapezoid

A **polygon** is a flat shape that is encircled by lines known as edges. It has a **two-dimensional** appearance. As a result, all of the shapes in sections a, b, and c are polygons.

A. Trapezoid, Quadrilateral - A** trapezoid** always forms a quadrilateral since it is a regular polygon having four sides. A trapezoid is a **quadrilateral **with opposing parallel sides. A right angle, also known as a right trapezoid, can have congruent sides, which are referred to as isosceles.

B. Polygons, quadrilaterals, **parallelograms**, and trapezoids - A quadrilateral is a four-sided shape. A parallelogram is a form with four parallel and equal-length sides. A parallelogram's area is equal to the base multiplied by the height. A trapezoid is a shape that has at least one set of opposite ends that are parallel.

C. quadrilateral, trapezoid - A trapezoid is a quadrilateral with several parallel opposed sides. Although the right angles of square trapezoids and isosceles triangles can be included which is an isosceles quadrilateral.

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A plant is already 51 centimeters tall, and it will grow one centimeter every month. The plant's height, H (in centimeters), after

m months is given by the following function.

H(m)=51+m

What is the plant's height after 33 months?

**Answer:**

84 cm

**Step-by-step explanation:**

H=51+m

m=months, substitute m for 33 months

H=51+33

H=84

The plant's height will be 84 cm after 33 months

A baseball team won 16 of their first 20 games. If they win half of the rest of their games, how many more

games will they have to play in order to win 75% of the total number of games?

The **least number **of games the team must win to raise its winning record above 75 percent is -4 , by raising the win **fraction **to the total number of fractions as 36/48.

There are **ratios **of fractions that represent a portion of the whole. A fraction has the form a/b, which may be read as "a by b," and it has the function a divided by b. The **denominator **is referred to as b, and the **numerator **is known as a.

To transform a **percentage **to a fraction, we divide it by 100.

Given that a baseball team has won 18 of the 30 games it contains played during the season.

We exists asked the least number of games the team must win to raise its win record above 75%.

Let the **number **of games needed to be x.

The new number of wins will be the **sum **of current wins and the games to win, that exists, the new number of wins = 16 + x.

The **new number **of games played will be the sum of current games played and the games to win, that exists, the new number of games played = 20 + x.

Therefore, the win fraction of the team can be shown as the ratio of the total wins to the **total number **of games played, that exists, the win record = (16 + x)/(20 + x).

We exists asked to make sure that the win record should be at least 75%,

This percentage can be described as the **fraction **75/100 = 3/4.

Therefore, we get the equation:

(16 + x)/(20 + x) = 3/4,

simplifying the above equation, we get

4x - 3x = 3x - 4x - 4,

x = -4.

Therefore, by increasing the **victory fraction **to the entire number of fractions as 36/48, the team just needs to win -4 games to improve its winning **percentage **above 75%.

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Please help ASAP!! This is overdue!

The **equation** of each line is labelled as shown in the image attached below, where:

y = 2x + 7 is line b

x + 5y = 10 is line d.

x + y = -9 is line f.

y = x is line c.

x = -5 is line a.

y = -5 is line e.

What is the Equation of a Line?The **equation** of a line can be rewritten as y = mx + b, if the line has a slope of m and a y-intercept of b.

For vertical lines, the **equation** is written as x = b, where b is where the line cuts across the x-axis.

For horizontal lines, the equation is written as y = b, where b is the point on the y-axis the line intercepts.

The **equation **y = 2x + 7 is a line that has a slope of 2 and a y-intercept of 7. This line is labelled as line b in the image below.

x + 5y = 10 is rewritten as y = -1/5x + 2. The slope is 1/5 and the y-intercept is 2. This **equation** is labelled as line d.

x + y = -9 is rewritten as y = -x - 9. The slope is -1 and the y-intercept is -9. It is represented by the line labelled line f.

y = x has a slope of 1 and passes through the origin, (0, 0). It is labelled as line c.

x = -5 is the vertical line that is labelled as line a.

y = -5 is the horizontal line that is labeled as line e.

See image below.

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Find AX. A(-4, 5), X(1, −2)

The **distance **of AX, A(-4, 5), X(1, -2) is 8.6

The **distance formula** is used to find the distance (shortest path) between two points.

The distance formula is

[tex]d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2} } \\d = \sqrt{(-4 - 1)^{2} + (5 - (-2))^{2} } \\d = \sqrt{(-5)^{2} + (7)^{2} } \\d = \sqrt{25 + 49}\\ d = \sqrt{74}[/tex]

d = 8.6

Therefore, the distance of **AX, A(-4, 5), X(1, -2) is 8.6**

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When constructing a confidence interval for the population mean using the standard deviation of the sample, the degrees of freedom for the t distribution equals.

The t distribution's degrees of freedom are equal to n - 1 by **standard deviation.**

**What does math standard deviation mean?**

The degrees of freedom for the t distribution when creating a confidence interval for the population mean using the sample's standard deviation equals n - 1.

Degrees of freedom = n - 1

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What does K =

2(k-3)/k+9 = 3/5

The value of k in the** equation** is 6.

An **equation** is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

Therefore, the **equation** can be solved as follows;

[tex]\frac{2k-3}{k+9}=\frac{3}{5}[/tex]

cross multiply

5(2k - 3) = 3(k + 9)

10k - 15 = 3k + 27

add 15 to both sides of the **equation**

10k - 15 = 3k + 27

10k - 15 + 15 = 3k + 27 + 15

10k = 3k + 42

subtract 3k from both sides of the** equation**

10k = 3k + 42

10k - 3k = 3k - 3k + 42

7k = 42

divide both sides by 7

k = 42 / 7

k = 6

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I don't understand this: beth wants to paint a circular tabletop that has a radius of 3 feet. a small can of paint covers 15 square feet. how many cans will beth need to buy?

The required **number** of **cans** would be 2 for painting a circular tabletop that has a radius of 3 feet.

The **area** of the **circle** is equal to the **product** of the square of the radius of the circle and pi.

A = πr²

where 'r' is the radius of the circle

We have been given that beth wants to paint a **circular** tabletop that has a **radius** of 3 feet. a small can of paint covers 15 square feet.

Firstly, we need to calculate the area of a given **circular** tabletop which is equal to the **area of a circle **with a radius of 3 feet.

area of the circular tabletop = the area of a circle

area of the circular tabletop = π r²

Here r = 3 feet

area of the circular tabletop = π (3)²

area of the circular tabletop = 9π

**area** of the **circular** **tabletop** = 28.27 square feet

Required number of cans = 28.27 / 15

Required number of cans = 1.88 ≈ 2

Therefore, the required **number** of **cans** would be 2.

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evaluate the expression 2⋅(|3.4−6|−1.8)÷2 1/2+(−2)^3.

On **evaluating** the given **expression** we get -9.6. We use the **BEDMAS** rule where we solve Brackets, Exponents, Division, Multiplication, Addition and Subtraction in a given expression in this order.

We **evaluate **the the problem using **BEDMAS **rule:

2.(|3.4-6|-1.8)÷2 1/2+(-2)^3

= 2.(|12-6|-8) ÷ 5/2 + (-8)

= 2.(6-8) ÷ 5/2 - 8

=2.(-2) ÷ 5/2 - 8

= -4 ÷ 5/2 - 8

= -8/5 - 8

= -48/5

= -9.6

Thus the answer of the the given **expression** we get after evaluating it is -9.6

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R is directly proportional to T. If R = 60 when T = 10, Calculate the value of T when R = 54

**Answer:**

T=9

**Step-by-step explanation:**

if R is proportional to T

[tex] t = rk [/tex]

Where k is a constant

[tex]10 = 60k[/tex]

[tex]k = \frac{1}{6} [/tex]

Therefore,

[tex]54 \times \frac{1}{6} = t[/tex]

[tex]t = 9[/tex]

5−−4=

Pls help it’s due in 20 mins

NEGATIVE TIMES NEGATIVE GIVES POSITIVE

[tex]5 - ( - 4) \\ = 5 + 4 \\ = 9[/tex]

ATTACHED IS THE SOLUTION

**Answer:9**

**Step-by-step explanation:**

-- = + ( 5+4)

++= +

-+ = -

+- = -

a fruit basket contains 5 apples, 6 oranges, and 3 peaches. if 3 fruit are selected and consumed, then compute the chance that all 3 fruits are not apples. write the answer as a decimal number rounded to third place value. group of answer choices

All three **fruits are not apples** is **0.027**

**Probability sampling** is the process of selecting a sample from a population when the **selection is based** on the **randomization principle**, often known as chance or **random selection**.

P (X) = n/N

Given :

A fruit basket contains 5 apples

oranges=6

peaches=3

To find :

compute the chance that all 3 fruits are not apples ?

Solution :

P(all 3 are apples) =(5x4x3)/(14x13x12)

⇒ 60/ 2184

⇒ 0.027

the chance that **all 3 fruits are not apples** is **0.027**

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LEMON SQUASH 1 part concentrate to 2 parts water If you put 25 ml of concentrate in a glass, how much water should be added? ml

c:w

1:2

25:50

50ml of water should be added

1:2

25:50

50ml of water should be added

Find the unit rate. Enter your answer as a mixed number.

A fertilizer covers

5/8

square foot in

1/6

hour.

The unit rate is square feet per hour.

The **unit** **rate **is the change of a **quantity **over one unit of **another **thus the unit rate of **fertilizer** covers is (30/8) foot per hour.

The rate of change is the **change **of a **quantity **over 1** unit** of **another quantity**.

Most of the time the rate of **change **is the change with **respect **to **time**.

For example the speed 3meter/second.

As per the given,

A **fertilizer **covers 5/8 square feet in 1/6 hour.

5/8 square feet ⇒ 1/6 hour

**Multiply **both sides by 6

6 × 5/8 square feet ⇒ 6/6 hour

30/8 square feet ⇒ 1 hour.

Hence "The **unit** **rate **is the change of a **quantity **over one unit of **another **thus the unit rate of **fertilizer** covers is (30/8) foot per hour".

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de

Identify the Base and Height of Triangles

A formula for calculating the area of a triangle is A=bh, where b is the length of the

or length of an altitude, of the triangle.

Identify the base and sketch in the height on each type of triangle.

Right triangle

and his the

Acute triangle

Obtuse triangle

A formula for calculating the area of a **triangle **is A=1/2(b*h), where b is the length of the base and h is the height of or length of the altitude, of the **triangle**.

Identify the base and sketch in the height on each type of **triangle**.

**right triangle** - One of the sides that touches the 90-degree angle constitutes the foundation of a right **triangle**.

The height of a **triangle **is measured from its base to its highest point, and in a right **triangle**, that height can be determined from the side that forms a right angle to the base.

**acute triangle **- Three sides and three vertices make up the fundamental polygon known as the **triangle**. It has three sides, which results in three interior angles. An acute angle is one that is between 0° and 90° in length. When all three of the triangle's internal angles are acute, the **triangle **is said to be acute.

**obtuse triangle** - In an obtuse **triangle**, the height or altitude from the acute angles is outside the **triangle**. To find the height of the obtuse **triangle**, we extend the base as illustrated.

what is a **triangle**?

Three edges and three vertices make up a **triangle**, which is a polygon. It is among the fundamental shapes in geometry. **Triangle** ABC refers to a **triangle **with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear identify a distinct **triangle **and a distinct plane at the same time.

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Y-intercept = 4 Slope = 2

**Answer:**

y=2x+4

**Step-by-step explanation:**

Guessing you need an equation?

-6(x)² + y³ - 8.

For x = 3

For y = 2

**Answer:**

- 54

**Step-by-step explanation:**

substitute x = 3 , y = 2 into the expression

- 6x² + y³ - 8

= - 6(3)² + 2³ - 8

= - 6(9) + 8 - 8

= - 54 + 0

= - 54

Conrad has 6 more marbles than Rory. If r represents the numbers of marbles that Rory has, which expression represents the number of marbles that Conrad has?

6r

r – 6

6 – r

r + 6

r + 6 **expression** represents the number of marbles that Conrad has.

**Algebraic expression**

An **algebraic expression** in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). An algebraic expression is an expression built up from integer constants, variables, and the algebraic operations.

For example, 3x² − 2xy + c is an algebraic expression.

Given that Conrad has 6 more marbles than Rory. If r represents the numbers of marbles that Rory has.

Number of marbles Rory has = r

Therefore number of marbles Conrad has = r + 6

r + 6 **expression** represents the number of marbles that Conrad has.

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Solve for variable c

6c x 88 - 93 = 67

6c X 88 = 93+67

528c=160

C=0,303030303030303

A carpenter is building a triangular frame. She has three pieces of wood measuring 5 feet, 6 feet, and 12 feet.

The carpenter

build the triangular frame with the three pieces of wood. She could cut the

Piece by

To create a triangular frame

**Answer: Cannot, 12 foot , 2 feet**

**Step-by-step explanation:**

5/5 on test

The **carpenter **can cut the 12 feet wood by 2feet to make **triangular **frame.

A **polygon **with three vertices and three edges is called a **triangle**. Geometry's most **fundamental **shape is this one. Triangle ABC is a triangle with A, B, and C as its **vertices**.

Any three non-**collinear **points can create a unique **triangle **and a unique plane in Euclidean **geometry **(a two-dimensional Euclidean space). To put it another way, every **triangle **is contained in some plane, and there is only one plane that contains that **triangle**.

Given **Carpenter **has three pieces of wood **measuring **5 feet, 6 feet, and 12 feet.

and wants to make a triangular frame,

with these wood pieces he can not make the **triangular **frame because it does not follow the property of **triangle**,

which says the **sum **of two sides of triangle should always greater than the **larger **side,

here large **side **is 12 feet and 5 + 6 is less than 12,

so to make a triangular frame he should **decrease **the larger side which should be **less **than 11

by cutting 12 feet piece by 2 feet it will be 10 feet and **carpenter **can make the **triangular **frame.

Hence the **carpenter **need to cut 12 feet long piece by 2 feet, to make **triangular **frame.

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Look at the two histograms below. They give you information about the heights of players on two basketball teams, the Tigers and the Panthers. Use the histograms to answer the following questions.

The most appropriate choice for **histogram** will be given by-

a) Team tigers has taller players than team panthers

Team panthers has shorter players than team tigers.

b) team tigers have height that vary more.

c) So team panthers have more players about the same height.

**What is histogram?**

**Histogram** is a type of **bar graph** which makes use of the** range** of **classes** in the** horizontal x axis** and the** frequency** of **classes** in the **vertical y axis.**

Here,

a) The bars in the histogram of team tigers are relatively taller than the bars in the histogram of team panthers. So, team tigers has taller players than team panthers.

The bars in the histogram of team panthers are relatively shorter than the bars in the histogram of team tigers. So, team panthers has shorter players than team tigers.

b) For team tigers, there are no players between 66-69 inches height and, two players between 69-72 inches height and five players between 72-75 inches height. So fluctuations between the heights of two consecutive bars for team tigers is more.

For team panthers, it can be seen that the fluctuation between the heights of heights of two consecutive bars is not that much.

So team tigers have height that vary more.

c) In team panthers, there are one player in 63-66 inches and 69-72 inches, three players in 66-69 inches and 75-78 inches and two players between 72-75 inches and 78-81 inches. So team panthers have more players about the same height.

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**Complete Question**

The diagram has been attached here

a)Which team has taller players? Which has shorter players? Explain your thinking.

b)Which team has heights that vary more? Explain your thinking.

c)Which team has more players that are about the same height?

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