Sandy collected 10 pounds of apples at an apple orchard. She is determined to
eat 20% of the apples remaining every day after the day she went to the orchard.
Write an exponential function to model this scenario and use it to estimate how
many pounds of apples she has left after 1 week.

Natalie will be paid $656.61 every week in addition to $10505.76 for the summer.

The combination of numerical variables and operations expressed by the addition, subtraction, multiplication, and division signs constitutes a mathematical expression.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that Natalie works as a playground supervisor for 8 weeks over the summer and makes $15.27 per hour. She works a 40-hour work week, although she usually works 3 hours of overtime.

For a week = ( 40 + 3 ) x 15.27 = $656.61

For a summer = 4 x 4 = 16 weeks

For a summer = 16 x $656.61 = $10505.76

Therefore, Natalie will be paid $656.61 for a week and for summer $10505.76.

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Answer: A. (g•f)(x)= log(5x) ( 5x + 4)=5x log(5x) + 4log(5x)

Step-by-step explanation:

Hope this helps :)

Answer:

$972                

36 × 27 = 972                      

The value of x in the equilateral triangle is 10

The equilateral triangle's three characteristics are: Equal on all three sides. The three angles are identical. Three symmetry lines may be seen in the figure. Additionally, each inside angle is identical (60 degrees).

A unique isosceles triangle with three equal sides is called an equilateral triangle. The formulas that we take into account most frequently for a triangle are: Dimensions of an equilateral triangle , the equilateral triangle's circumference, Equilateral triangle's height

An equiangular triangle's area can be calculated using the following formula:

If A=√3a2/4, then ABC's perimeter 3a

where a is the triangle's side length.

In equilateral triangle, the sum of the 3 angles are 180°.then the angle of each side is 60°

From the given data,

(7x-10)°=60°

7x=60+10

7x=70, x=10

Hence the value of x is 10

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Answer:

13

Step-by-step explanation:

Hypotenuse is c

so c^2 = a^2 + b^2

c^2 = 5^2 + 12^2

c^2 = 25 + 144 = 169

c^2 = 13^2

c = 13

Answer:

0

Step-by-step explanation:between 4 and -4 is 0

Answer:

.................................................................................................................................

[tex] \bf \implies {16} {c}^{6} {d}^{2} [/tex]

(-4c³d)² Evaluate it

According to the question

Answer:

Step-by-step explanation:

we just have to substitute 0 in place of x

1-(0)³, 0³ is still 0, so we're left with 1-0=1

mark me brainliest of it helped

Based on the records of Dexter Technology, the net income using the cash-basis is $20,500 and the net income using accrual basis is $28,800.

Using the cash basis, the net income will be only for transactions that cash has either been received for or paid for:

= Cash from customers - Cash paid for salaries

= 45,000 - 24,500

= $20,500

The net income using accrual caters for the expenses and revenue that happened in a year regardless of when they are paid:

= Revenue - Salaries expense

= (45,000 - 1,200 + 7,000) - (24,500 - 6,000 + 3,500)

= $28,800

Question is:

Determine cash-basis net income and accrual-basis net income for the year.

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Answer:

The least common multiple of 40, 36 and 32 is 1440.

Step-by-step explanation:

Greetings !

The LCM of a, b

Is the smallest positive number that is divisible by both a and b.

prime factorization of 32:

[tex]2.2.2.2.2[/tex]

prime factorization of 40:

[tex]2.2.2.5[/tex]

prime factorization of 36:

[tex]2.2.3.3[/tex]

Compute a number comprised of factors that appear in at least one of the following

32,40,36

[tex] = 2.2.2.2.2.5.3.3[/tex]

Multiply the numbers 2.2.2.2.2.5.3.3 = 1440

[tex] = 1440[/tex]

Hope it helps !!!

Answer:

Step-by-step explanation:

You are asked to identify the real number properties that justify various changes in the way an expression is written.

In general, there are associative, commutative, identity, and inverse properties of addition and multiplication. You can use these properties to simplify and rewrite expressions, and to help perform arithmetic.

This is basically a vocabulary question, to see if you know the names associated with the behaviors these properties describe.

When an operation (such as addition or multiplication) has the commutative property, it means the order of its operands does not matter

  addition: a + b = b + a

  multiplication: a × b = b × a

When an operation has the associative property, it means that grouping of operands does not matter.

  addition: (a + b) + c = a + (b + c)

  multiplication: (ab)c = a(bc)

When an operation is performed using its identity element, the value of the other operand is not changed:

  addition: a + 0 = a

  multiplication: a × 1 = a

When an operation has an inverse, performing the operation with the inverse produces the identity element.

  addition: a + (-a) = 0

  multiplication: a × (1/a) = 1

Note: these last two properties are used to simplify and solve algebraic expressions. They let you "undo" operations done to variables or expressions.

You can match the given expressions to the example expressions shown above. The "multiplication property of zero" is also known as the "zero product rule": a product is zero if and only if a factor is zero.

  [tex]\begin{aligned}d\cdot4=4\cdot d\quad&\text{commutative property, multiplication}\\(2+a)+8=2+(a+8)\quad&\text{associative property, addition}\\m+(-m)=0\quad&\text{additive inverse property}\\0\cdot b=0\quad&\text{multiplication property of 0}\end{aligned}[/tex]

there were total 201 republicans and 232 democrats .

There is only one or two variables in a linear equation. Nothing can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All the dots fall on the same line when the values that, when added together, make a linear equation true are determined and plotted on a coordinate grid.

let no. of republicans be x

then, no. of democrats is x + 30

total no. of  members given are = 433

  so if we make the equation

           x + x + 30 = 433

          2x = 403

            x = 201 members of republican

        democrats = 201 + 30 = 232

therefore ,  there were total 201 republicans and 232 democrats .

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The area of rectangular decorative bookmark prepared by Rahul is 8 square inches

Rahul is making a decorative bookmark whose dimensions are 2 inches× 4 inches which clearly states that the decorative bookmark prepared by Rahul  is in the shape of a rectangle whose length is 4 inches and breath is 2 inches

In this question we are told to find out the area of rectangular bookmark So, we have to use the formula of area of rectangle

area of rectangle = length of rectangle × breath of rectangle

                              = 4 inches × 2 inches

                              = 8 inches²

Hence the area of  rectangular decorative bookmark prepared by Rahul is 8 square inches

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Answer:

B

Step-by-step explanation:

91 - 4 is 87

87 + 4 = 91

I am not entirely sure what to do in this question but if u have a time limit then I would put the answer if not just wait for another answer.

The value of x from the given figure is 8/3

The sum of all the ides of the parallelogram is perimeter. According to the given figure;

2(3x-8)+2(16) = 32.2

Expand to have:

6x-16 + 32 = 32.2

6x + 16 = 32.2

Subtract 16 from both sides

6x = 16

x = 16/6

x = 8/3

Hence the value of x from the given figure is 8/3

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If a, b, c, and d are four different numbers and the proportion. The given statement is true.

We take one example,

When you split them, they will all equal the same thing.

A = 5 ,B = 20 20 divided by 5 equals 4

C = 28 ,D = 7 28 divided by 7 equals 4

The ratio is used to compare two amounts of the same type. For two numbers, a and b, the ratio formula is written as a: b or a/b. The ratio and proportion concepts are based on fractions. Ratio and proportion are the fundamental building blocks for many other notions in mathematics. Ratio and proportion are useful in addressing many everyday difficulties, such as comparing heights, weights, distance, or time, or when combining ingredients in cookery, and so on.

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Considering the circumference of a circle, it is found that Eric has walked 151.68 km.

The missing information is that the lake is a circle of radius 5 miles.

The circumference of a circle of radius r is given by:

C = 2πr.

Hence the circumference in miles of the circle is:

C = 2π x 5 = 10π miles.

This is the length of one lap, hence the length of 3 laps is:

3 x 10π = 30π miles.

In kilometers, the distance is:

30π x 1.60934 = 151.68 km.

Hence Eric has walked 151.68 km.

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The stock bar chart of Ford the greatest high price is on 12/09/22 for US: F: $15,540. The day close on April 30 that with a high at April 27, 2022, 15.10 high.

Initial Data Representation Lists or graphs can be used to present data. A stock chart is a graphical representation. Most stock charts display historical data regarding a stock's trading prices and volume. The stock bar chart is a typical stock chart type.

A bar chart shows the open, high, low, and closing prices of a security or asset over a predetermined amount of time. A price bar's vertical line depicts the high and low prices for the specified time period. Each price bar's left and right horizontal lines stand in for the open and closing prices.

Hence, the stock bar chart of Ford is the greatest high price is on 12/09/22 for US: F: $15,5400 and the day close on April 30 that with a high at April 27, 2022, 15.10 high.

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Answer: 59.5

Step-by-step explanation:

U(t) = 5.1t^2 − 1.7t

U'(t)=2*5.1t-1.7

U'(t)=10.2t-1.7

U'(6)=10.2(6)-1.7

U'(6)=61.2-1.7

U'(6)=59.5

The expression of each person's contribution is:

Me - 18 / 72.90 = 0.25

Friend 1 - 17.40 / 72.90 =  0.01

Friend 2 - 18.90 / 72.90 = 0.26

Friend 3 - 18.60 / 72.90 = 0.26

A fraction is used to represent the portion/part of the whole thing.

We have,

The total amount from each person:

= 18 + 18.60 +18.90 + 17.40

= $72.90

We can write the amount that each person will pay using fractions as:

Fraction = Total bill of individual share / Total bill all together

Me - 18 / 72.90 = 0.25

Friend 1 - 17.40 / 72.90 =  0.01

Friend 2 - 18.90 / 72.90 = 0.26

Friend 3 - 18.60 / 72.90 = 0.26

Thus the expression of each person's contribution is:

Me - 18 / 72.90 = 0.25

Friend 1 - 17.40 / 72.90 =  0.01

Friend 2 - 18.90 / 72.90 = 0.26

Friend 3 - 18.60 / 72.90 = 0.26

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Answer:

 ≥ 50 sets

Step-by-step explanation:

Mayerlin wants to know how many sets of 8 forks she needs to buy to increase her supply of forks from 223 to at least 623.

The number of additional forks will be the number of sets (s) times 8 forks each. Mayerlin wants at least 623.

  223 +8s ≥ 623 . . . . . . the inequality

Subtract 223:

  8s ≥ 400

  s ≥ 50 . . . . . . divide by 8

Mayerlin could by at least 50 sets of forks to have enough.

Using the binomial distribution, the mean and the standard deviation of the amounts are given as follows:

The binomial distribution gives the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The mean is given by the following rule:

E(x) = np.

The standard deviation is given by the following rule:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

In the context of this problem, the parameters are found as follows:

Hence the mean and the standard deviation are, respectively, given by:

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Step-by-step explanation:

-2-(-4)= 2

5-7=-2

2/-2= -1

M= (-1)

y=mx+b

-2=(-1)(5)+b

-2=(-5)+b

+5. +5

3=B

Y= -1x+3

Foil Method we multiply first terms, then outside terms, then inside terms, then last terms, and then combine like terms for our answer.(m^1/3+y^-1/2)(m^1/3+y^-1/2) is m^2/3+2m^1/3.y^-1/2+y^-1..

Multiplication is a method of finding the product of two or more numbers.

In foil Method we multiply first terms, then outside terms, then inside terms, then last terms, and then combine like terms for your answer.

(m^1/3+y^-1/2)(m^1/3+y^-1/2)

=m^1/3.m^1/3+m^1/3.y^-1/2+m^1/3.y^-1/2+y^-1/2.y^-1/2

When bases are same then the power will be added.

=m^2/3+2m^1/3.y^-1/2+y^-1.

Therefore m^2/3+2m^1/3.y^-1/2+y^-1 is the required solution of polynomial (m^1/3+y^-1/2)(m^1/3+y^-1/2).

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