Use the Distributive Property to factor the polynomial.
5z2+10z

a) With regard to Edward, single deposit would he need to make now into an account that pays 4.3% interest, compounded daily, to meet his goal  is $32,526.67.

b) The total interest that he would pay on this loan is given as follows: $2,160.

c) The finance charge is $295.84

A) Let the Principle be P

amount here A= $50,000

time n= 10 years n= 10 x 36 5= 3650 days

rate of interest= 4.3% compounded daily= 4.3/365

let us use compound interest formula to calculate the principle

A = P (1 + (r/100)ⁿ

putting all the values we get

50000 = P (1 + (4.3/(100 x 365))⁽¹⁰ ˣ ³⁶⁵)

on solving we get P =  $32,526.67

therefore he need to deposit $32,526.67

B)

The balance of an account after t years, using simple interest, that is, a single compounding per year, is given by the equation shown as follows:

A(t) = P(1 + rt).

In which the parameters of the equation are explained as follows:

P is the value of the initial deposit.

r is the interest rate, as a decimal.

Considering this equation, the interest accrued is given as follows:

I(t) = Prt.

In the context of this problem, the values of these parameters are given as follows:

P = 7500, r = 0.064, t = 4.5.

Hence the interest accrued on the payment is obtained as follows;

I(4.5) = 7500 x 0.064 x 4.5 = $2,160.


C)

We know that,

Finance charge = Total Amount Paid - Original cost

As the original cost of the drum is = $1972

She paid 20% as down payment. So the amount of down payment is,

1972 x 20/100 = $394.40

She has to pay 36 monthly payments of $52.04 each. So the amount to be paid is,

= 36 x 52.04 = $1873.44

So the total amount paid will be,

=  $1873.44 + 394.40 = $2267.84

Therefore, the finance charge is 226.84 - 1972 = $295.84

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Answer:

1 tea:  £1.20

1 coffee: £1.50

Step-by-step explanation:

Let's t represent teas and c represent coffees; we have the equations

2t + 3c = 6.90

4t + 7c = 15.30

We multiply the first equation by -2

-4t - 6c = -13.80

4t + 7c = 15.30

c = £1.50

Now we put 1.50 in for c and find the price for one tea.

2t + 3(1.50) = 6.90

2t + 4.5 = 6.90

2t = 2.4

t = £1.20

A scatter plot or a line graph could be used to represent the relationship between the two variables.

A scatter plot is a graph in which each data point is represented by a dot on the graph. In this case, the data points would represent the amount of money spent on groceries and the percentage of that money spent on fruits and vegetables. Each data point would be plotted based on its corresponding values for the two variables, with the horizontal axis representing the amount of money spent on groceries and the vertical axis representing the percentage of that money spent on fruits and vegetables. The scatter plot would allow us to see if there is any relationship between the two variables, such as whether people who spend more on groceries tend to spend a higher percentage of that money on fruits and vegetables.

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To compute the correlation between two ordinal-level variables, you should use Spearman's rank correlation coefficient.

Spearman's rank correlation coefficient is a non-parametric statistical measure that is used to assess the association between two ordinal-level (ordinal or ranked) variables.

This type of correlation calculates the correlation between the ranks of the data rather than the actual values, making it suitable for ordinal data where the difference between the levels is not well defined.

The coefficient ranges from -1 to 1, where a value of 1 indicates a perfect positive correlation, a value of -1 indicates a perfect negative correlation, and a value of 0 indicates no correlation.

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Answer:

532 m ^2

Step-by-step explanation:

18x18 + 1/2x8x 16 + 1/2 x 16 x18

324 + 64+ 144 = 532

Answer:

slope: (6+10)/(15-0)

M: 16/15

B = -10

y = 16/15x -10

Answer:

False - The standard deviation is always positive.

Answer:

Hi! The answer to your question is 1

Step-by-step explanation:

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Hope this helps!!

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- Brooklynn Deka

A function assigns the values. The value of (5r+1/5)² when the value of r is 0 equals 0.04.

A function assigns the value of each element of one set to the other specific element of another set.

Given the function g(r)=(5r+1/5)², therefore, the value of the function when r=0 will be,

g(r) = (5r+1/5)²

g(0) = [5(0)+1/5]²

g(0) = (1/5)²

g(0) = 1/25

g(0)=0.04

Hence, the value of (5r+1/5)² when the value of r is 0 equals 0.04.

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The statement is incorrect due to the invalid assumption of f(x) = g(x) = 0, and the incorrect application of the comparison test.

The comparison test states that if 0 ≤ f(x) ≤ g(x) and the integral of g(x) dx diverges, then the integral of f(x) dx also diverges. However, the statement assumes that f(x) and g(x) are equal to zero, which means that 0 ≤ f(x) ≤ g(x) is not satisfied.

Additionally, the assumption that g(x) dx diverges does not necessarily imply that f(x) dx also diverges. For example, let g(x) = 1/x^2 and f(x) = 0 for all x. Then g(x) dx diverges, but f(x) dx converges to zero.

In conclusion, the statement is incorrect due to the invalid assumption of f(x) = g(x) = 0, and the incorrect application of the comparison test.

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Answer:

10a+16...hope this helps!

Step-by-step explanation:

Answer:

Infinite solutions

Step-by-step explanation:

Distribute the numbers

3(6x-2) = 18x - 6

2(9x-3) = 18x - 6

18x - 6 = 18 - 6

Since both sides of the equal sign are the same, that means you can plug any number into x, and it will always be a valid answer.

The given series is divergent.

We can determine the convergence or divergence of the given series using the nth term test. According to this test, if the nth term of a series does not approach zero as n approaches infinity, then the series is divergent.

Here, the nth term of the series is given by 9e^(n+3)/(n(n+1)). We can simplify this expression by using the fact that e^(n+3) = e^3 * e^n. Therefore, we have:

9e^(n+3)/(n(n+1)) = 9e^3 * (e^n / n(n+1))

As n approaches infinity, the term e^n grows faster than n(n+1). Therefore, the expression e^n / n(n+1) does not approach zero, and the nth term of the series does not approach zero either. Thus, by the nth term test, the series is divergent.

Therefore, the given series is divergent.

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Answer:

white sold = 16

yellow sold = 12

Step-by-step explanation:

w = # of white sold

y = # of yellow sold

w + y = 28   solve this for w

w = 28 - y

9.95w + 13.5y = 321.20     substitute w = 28-y into this expression and solve for y

9.95(28-y) + 13.5y = 321.20

278.60 - 9.95y + 13.50y = 321.20

278.60 + 3.55y = 321.20

3.55y = 321.20 - 278.60 = 42.60

y = 42.60/3.55 = 12   substitute this into w = 28 - y and solve for w

w = 28 - 12 = 16

Answer:

D, It's used for every one

Step-by-step explanation:

A frequency distribution in which high scores are most frequent is said to be positively skewed or right-skewed.

In statistics, skewness refers to the asymmetry of a probability distribution. A frequency distribution is said to be positively skewed or right-skewed if the majority of the data is concentrated on the right side of the distribution, while a few high values are outliers on the right tail. The frequency distribution will look like a graph that is shifted to the right with a longer tail on the right side.

Positive skewness means that the mean (average) of the data will be higher than the median (middle value). The median is a more robust measure of central tendency than the mean in a positively skewed distribution, because it is not influenced by the outliers on the right tail.

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Answer:

5s² + 9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

7s² + 9 + -2s²

Step 2: Simplify

Answer:

72

Step-by-step explanation:

first, you cut the top of the T and you multiply 12 x 3 which is 36. Then with the 4 cm on both sides, I'm assuming the middle part is also 4 (since the other side is 12) and then you multiply 9 x 4 which is also 36, then you add and get 72!

Answer:

444 cm squared

Step-by-step explanation:

first multiply 6 by 8 by 18.5, and you will get 888.

But since it's a triangle you would have to divide that by 2.

This will get you 444 cm squared.

Answer:

. yupp

Step-by-step explanation:

The number of students that leave by bus or car is given as follows:

5801 students.

The union and intersection sets of multiple sets are defined as follows:

The or operation is equivalent to the union operation, meaning that we add the number of students that leave by bus to the number of students that leave by car.

Hence the number of students that leave by bus or car is given as follows:

3232 + 2549 = 5801 students.

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Answer:

(-3,5) (6,2) (Plug in these points into (y2-y1)/(x2-x1) to find the slope)

2-5/6-(-3)

-3/9

-1/3 is the slope

y - y1 = m(x -x1) (this is point slope form)

y - 5 = -1/3 (x +3) (you plug in the x &y values from the first set of coordinates)

y -5 = -1/3x -1  (you get to slope intercept form by solving from point slope)

y = -1/3x +4 (this is slope intercept form)

Step-by-step explanation:

No, the given reaction (2I⁻(aq) + Cl₂(aq) ⟶ I₂(aq) + 2Cl⁻(aq)) is not an acid-base reaction. It is a redox (reduction-oxidation) reaction, which involves a transfer of electrons between the reacting species.

An acid-base reaction typically involves the transfer of a proton (H⁺) between an acid (a proton donor) and a base (a proton acceptor).

In the given reaction, there is no transfer of protons. Instead, we observe a transfer of electrons between the reacting species, which indicates a redox reaction.

In this reaction, Iodine (I⁻) is losing an electron to become Iodine (I₂), and Chlorine (Cl₂) is gaining an electron to become Chloride (Cl⁻).

This means that Iodine is being oxidized (losing electrons) and Chlorine is being reduced (gaining electrons).

The half-reactions are as follows:

Oxidation half-reaction: 2I⁻ ⟶ I₂ + 2e⁻
Reduction half-reaction: Cl₂ + 2e⁻ ⟶ 2Cl⁻

These half-reactions show the transfer of electrons between the reacting species, which is characteristic of a redox reaction.

In conclusion, the given reaction is not an acid-base reaction because it does not involve the transfer of protons between an acid and a base. Instead, it is a redox reaction, which involves the transfer of electrons between the reacting species.

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Approximately 16% of the design is black.

Since the radius of each circle increases by 2 inches, the diameter of each circle increases by 4 inches. Thus, the diameter of the largest circle is 2 + 4(5) = 22 inches.

The area of each circle is proportional to the square of its radius, so the area of the smallest circle is π(\(2^2\)) = 4π square inches. The area of the second circle is π(\(4^2 - 2^2\)) = 12π square inches, the area of the third circle is π(\(6^2 - 4^2\)) = 20π square inches, and so on.

The total area of the design is the sum of the areas of all the circles, which is:

4π + 12π + 20π + 28π + 36π = 100π

The black area in the design consists of four quarter circles, each with a radius of 4 inches. The area of a one-quarter circle is:

(1/4)π(\(4^2\)) = 4π

So the total black area is 4 times this, or 16π.

The percent of the design that is black is:

(16π / 100π) x 100% ≈ 16%

Therefore, approximately 16% of the design is black.

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number and location of students in the district and (2) the adequacy ... Wadell D. Snyder ... Clackamas Elementary School. 21. 1.1 - 8. Happy Valley Elementary School ... to permit plotting of data and geographic compares ... Custodian's room. B. ... 35. B. Adequacy. 1. 11 of the classrooms have less than 750 square feet and.

- Research Associated

750 - sq ft ?

35 < 8 - 470

280 - 470

       -

     750

Answer:

D is ur answer

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

If a polynomial f(x) is divided by (x - r) then the remainder is f(r)

Answer:

1230000

Step-by-step explanation:

this is because of growth and inflation and deflation

12% of 120,000 = 14400

14400x7 = 100800

120,000 - 100800 = 19200

A:DECAY

Answer:

The vector that describes their hike from their starting position to their final destination is \(\vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi]\).

Step-by-step explanation:

In this problem we assume that orthogonal axes coincide with the north and east. We proceed to translate each sentence from statement into vectorial equations:

(i) A group of hikers walks 3 miles east and then 1 mile north:

\(\vec r_{A} = 3\,\hat{i}+1\,\hat{j}\,\,\,[mi]\)

(ii) After taking a break, they then hike 4 miles east to their final destination:

\(\vec r_{B} = 4\,\hat{i}\,\,\,[mi]\)

The vector that describes their hike from their starting position to their final destination is the sum of the vectors deducted above. That is:

\(\vec r = \vec r_{A}+\vec r_{B}\)  (1)

\(\vec r = (3\,\hat{i}+1\,\hat{j})+4\,\hat{i}\,\,\,[mi]\)

\(\vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi]\)

The vector that describes their hike from their starting position to their final destination is \(\vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi]\).