step by step explanation long divison 9 divided by 1557

The principal amount invested by Shen in the saving bond is $9,000.

As per the given question;

The formula for simple interest is-

SI = PRT/100

Put the values;

SI = PRT/100, write the formula in the terms of P

P = 100×SI/RT

P =  100×1620 / (3×6)

On simplification;

P = 9,000

Thus, the amount invested by Shen in the saving bond is $9,000.

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The solution of the equation b² = 48 is b = 4√3

The equation can be solved as follows;

b² = 48

Therefore, we are to find the value of b in the equation.

The value of b comes with a square sign, so we have to remove the square to make b stand alone in the equation.

By removing the square sign we have to square root both sides.

Hence,

b² = 48

square root both sides of the equation

b² = 48

√b² = √48

Therefore,

b = √16 × 3

b = 4√3

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∠1 and ∠4 are supplementary angle in transversal line .

What is a transversal angle?

1) ∠6 ≅ ∠8   congruent angle.

2) ∠6 = ∠1 and ∠8 = ∠3    are Verical angles.

3) ∠1 and ∠4 are supplementary angle.

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Answer: 3.215 × 10^-7

Step-by-step explanation:

The exponent is smaller than all of the others, so it's the smallest.

Answer : 3(x - 5)(x + 5)

example 3(x 2 - 25)

               3x2 - 75

sorry about what happened but I hope this helps have a great day

Answer: In simplest form it would be 6 1/40

Step-by-step explanation:

[tex] \frac{241}{40} [/tex]

but in mixed number

[tex]6\frac{1}{4} [/tex]

The statements that are true in the lines of construction of the straightedge and compass construction which makes use of congruent circles, are;

Line EF is the perpendicular bisector of segment BD

Line EF is the bisector of angle BAC

Geometric figures are constructed using a compass and a straightedge, by using outlined steps or procedures.

From the diagram, given that the circumference of the circle with center B passes through the center of the circle with center D, and vice versa, we have;

Circle B is congruent to circle D

The steps to construct a perpendicular bisector to the segment BD includes;

Therefore;

The steps to construct the angle bisector of angle BAC

The angle bisector can be constructed by using the following steps

Which gives;

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Answer:

6kg

Step-by-step explanation:

5 to 30 ratio

1 to 6 ratio

Answer:

30/5=6

6 kg beans for $1

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Answer:

the answer is c

Step-by-step explanation:

We determine the scale factor by comparing the lengths of corresponding sides of the square.

The length of O’N’=15 and the length of the corresponding segment ON =9.
Then, we compute the scale factor:
O’N’=kON

15=9k

k=15/9=5/3.

The scale factor is k=5/3.

Answer: Ray BA and Ray BC

Explanation:

A ray starts at at a fixed point and moves forever in one direction. If we break line AC into two parts BA and BC, then we can form two opposite rays. Another ray points to the right but the letter marked for this isn't clear, so I'm not sure what to write for that ray. Same goes for the dashed ray that points to the left.

BD is a segment because both endpoints are fixed. We don't have either side extending forever in that direction.

Answer:

a)16777216

b)279936

c)32768

d)49

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Answer:

ok!

a) 4^9 ×4^3=4^9+3=4^12

b) 6^5 ×6^2=6^5+2=6^7

c) 8^6 ÷8=8^6-1 =8^5

d) 7^8÷7^6=7^8-6=7^2

Pls mark me as brainliest.

I answered first.

Step-by-step explanation:

It's simple!

If there is multiplication, add the powers.

If there is division, subtract the powers.

In linear equation, 42 units quizzes will josie have taken in total.

What is a formula for linear equations?

josie took a total = 24 quizzes

the course  =  6 weeks

quizzes will josie have taken = 24/6 = 4

after attending 10 weeks of school this quarter = 10 * 4 = 40 units

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1) The rule of transformation is described as; A: A rotation 90° clockwise about the origin

2) The value of x is; 2

3) The value of x is 10

4) The slope of the line is; 2

1) The rule of transformation for When the point M (h, k) is rotated through 90° clockwise about the origin, the point M (h, k) takes the image M' (k, -h). Thus, that is the rule here.

2) From the given image, we can tell that the angles 50° and 26x - 2 are corresponding angles. Thus, they are congruent and we have;

26x - 2 = 50

26x = 52

x = 2

3) From the given image, we can see that the given angles are supplementary and as such they add up to 180 degrees. Thus;

9x + 15 + 6x + 15 = 180

15x + 30 = 180

15x = 150

x = 10

4) Slope is;

m = (y2 - y1)/(x2 - x1)

m = (1 - (-3))/(1 - (-1))

m = 4/2

m = 2

5) Same question as the first one.

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The amount of Miranda's total monthly expense is  $970.

Basically, an expense refers to any cost of operations that a company incurs to generate revenue. It also means the cost that one is required to spend on obtaining something.

In a typical firm, the common expenses include a payment to suppliers, employee wages, factory leases, equipment depreciation etc.

in the question context, the expenses are:

Total monthly expenses = $60 + $85 + $195 + $55 + $575

Total monthly expenses = $970.

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the given family of functions is the general solution of the differential equation on the indicated interval y=[tex]7/2e^{x} -7/2e^{-x}[/tex]

What is differential equation?

Equations which involves functions and its derivative is known as differential equation. these equations are highly used to model behaviour of complex system.

How to solve?

y(x) = [tex]C_{1} e^{x}+C_{2}e^{-x}[/tex]

y(0) = [tex]C_{1} +C_{2}[/tex]

0 =[tex]C_{1} +C_{2}[/tex]  --------------------------------------------------(1)

y'(x) =   [tex]C_{1}e^{x} -C_{2}e^{-x}[/tex]

y'(0) =  [tex]C_1- C_{2} }[/tex]

7 =  [tex]C_{1}-C_{2}[/tex] -------------------------------------------------(2)

From Equation 1 and 2

[tex]C_{1} +C_{2}[/tex] = 0

[tex]C_{1} -C_{2}[/tex] = 7

[tex]C_{1}[/tex] = 7/2

[tex]C_{2}[/tex] = -7/2

y=[tex]7/2e^{x} -7/2e^{-x}[/tex]

the complete question is

The given family of functions is the general solution of the differential equation on the indicated interval. Find a member of the family that is a solution of the initial-value problem. y = c1ex + c2e−x, (−∞, ∞); y'' − y = 0, y(0) = 0, y'(0) = 7

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One possible solution for the system of inequalities that models the situation is: (5,7), when he purchases 5 drinks and 7 tacos.

A system of inequalities is when multiple variables are related in a context, and then inequalities are built to find the numeric range of values that each variable can assume, according to the constraints in this problem.

For this problem, the variables are defined as follows, as stated in the text:

Both amounts cannot assume negative values, hence the first constraints are:

He must buy at least 14 drinks, hence:

x + y ≥ 14.

He must spend at most $40, hence, considering the price of each item, the constraint is given by:

2x + 4y ≤ 40.

The graphic solution to the inequality is given at the end of the answer. One possible solution is of (5,7), meaning that he buys 5 drinks and 7 tacos.

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Answer:

The restaurant is at a profit of $250

From the statement, we know that stack of 30 science flashcards has:

• 10 with insects,

• 8 with trees,

• 8 with flowers,

• 4 with birds.

The probability of selecting a tree or a flower is given by:

4/15

Answer:

60000

Step-by-step explanation:

Answer:

Step-by-step explanation:

6 × [tex]10^{4}[/tex] =

6 × 10000 =

60000

3 x 5 x 5 x 8 x 10 = 6,000

3 x 5 = 15, 15 x 5 = 75.

8 x 10 = 80.

75 x 80 = 6,000

Use the Pythagorean theorem to solve for c using the lesser two sides.

The answer is A.

Answer:

The farmer had to do 27 loads.

Step-by-step explanation:

Basically the easy way to do this is to grab a calculator (or the paper and pen way) and keep adding 336 until you get to 8914.

Once you add it all you will see there is a remainder of his corn left (that has not been delivered):178

Even though it isn't a full 336, the farmer would still have to make another trip.

336*26=8,736

So, adding the remainder into it's own load, we would get:

27.

Step-by-step explanation:

x(c - b) = g

divide through by (c - b)

x(c - b) = g

(c - b) (c - b)

x = g/ (c - b)

The value of Chrissy's height from the problem is 76

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

Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.

Let x represent Chrissy's height. 55 is the difference of Chrissy's height and 21. Hence:

x - 21 = 55

x = 76

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Answer:

y = 1/4x + 1

1/4 is the slope and 1 is the y-intercept

Answer: the function only intersects the y axis

Step-by-step explanation:

Answer:

The function only intersects the y axis.

Step-by-step explanation:

See the attached worksheet.