Samir is going to invest $22,000 and leave it in an account for 9 years. Assuming the interest is compounded monthly, what interest rate, to the nearest tenth of a percent, would be required in order for Samir to end up with $38,000?

Answers

Answer 1

The interest rate required to get a total amount of $38,000.00 from compound interest on a principal of $22,000.00 compounded 1 times per year over 9 years is 9.0909 % per year.

What is the interest rate?

The amount a lender charges a borrower is called an interest rate, and it is expressed as a percentage of the principal, or the loaned amount. Typically, a loan's interest rate is expressed as an annual percentage rate, or APR .

r = n[(A/P)1/nt - 1]

r = 1 × [(38,000.00/22,000.00)1/(1)(9) - 1]

r = 0.0909090

Then convert r to R as a percentage

R = r × 100

R = 0.0909090 × 100

R = 9.0909 %/year

The interest rate required to get a total amount of $38,000.00 from compound interest on a principal of $22,000.00 compounded 1 times per year over 9 years is 9.0909 % per year.

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Answer 2

Answer: 6.1

Step-by-step explanation:


Related Questions

how to do this question

Answers

The expanded and simplified form of the given expression is [tex]12a^4b^8-18a^3b^3[/tex]. This expansion represents the distributive property.

Distributive property:

In this property, the arithmetic operation is as follows:

x(y+z) = xy+xz

Here the term outside of the brackets is multiplied by each term in the brackets.

Calculation:

The given expression is [tex]6a^2b^3(2a^2b^5-3a)[/tex].

It is expanded by using distributive property,

x(y+z) = xy+xz

Here in the expression, [tex]6a^2b^3(2a^2b^5-3a)[/tex] the term 6a²b³ is multiplied by each term in the brackets. So, we get the expanded term.

I.e.,

6a²b³(2a²b⁵- 3a) = (6)(2)(a²)(a²)(b³)(b⁵) - (6)(3)(a²)(a)(b³)

⇒ 6a²b³(2a²b⁵- 3a) = 12a⁴b⁸ - 18a³b³

Here the like terms when multiplied, their powers should be added.

(∵ [tex]x^m\times x^n = x^{m+n}[/tex])

And there is no further simplification for this expanded form since the variables have different powers.

Therefore, the expanded and the simplified form of the given expression is [tex]12a^4b^8-18a^3b^3[/tex].

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can someone help me help me with this please

Answers

The equations of the lines parallel and perpendicular to the lines f (y = 2), ang g (y = 2·x - 1), with the parallel lines passing through the point P(-2, -1), and the perpendicular line passing through the point Q(3, -2) are;

A. The equation of the line parallel to the line f and passing through the point P is; y = -1

B. Equation of the parallel line to g and passing through P is; y = 2·x + 3

C. Equation of the line perpendicular to f passing through P is; x = 3

D. The equation of the line perpendicular to g and which passes through P is y = -0.5·x - 0.5

What are perpendicular lines?

Perpendicular lines are lines that intersect forming (right angles) an angle of 90°.

The equation that represents the line f is y = 2

The equation that represents the line y = 2·x - 1

A. The slope of a line parallel to another line are the same, therefore;

The equation of the line parallel to the line y = 2, has a slope which is the coefficient of x of 0.

The line f is parallel to the x-axis

The equation that is parallel to line f and passes through the point P(-2, -1)  therefore has the same y-value as the point P of -1 and an x-value of 0, the equation is therefore;

y = -1

B. The slope of the line g, y = 2·x - 1 is 2

The slope of the graph of the equation of the line that is parallel to the line g, is also 2

The equation of the line parallel to the line g and passing through the point (-2, -1) is; y - (-1) = 2·(x - (-2)) = 2·x + 4

y + 1 = 2·x + 4

y = 2·x + 4 - 1 = 2·x + 3

The equation of the line parallel to the line g and passing through the point P(-2, -1) is therefore;

y = 2·x + 3

C. The line f is parallel to the x-axis, therefore, the line perpendicular to the line f is perpendicular to the x-axis or parallel to the y-axis

The equation of the line perpendicular to the line f and passing through the point Q(3, -2), is therefore;

The line, x = 3

D. The slope of the line perpendicular to the line g, has a slope that is the negative inverse of the slope of the line g

The slope of the line g is 2, therefore, the slope of the perpendicular line is -1/2

The equation of the perpendicular line to the line of the equation g and passing through the point Q(3, -2) in point-slope form is therefore;

y - (-2) = (-1/2)·(x - 3) = -x/2 + 3/2

y = -x/2 + 3/2 - 2 = -x/2 - 1/2 = -0.5·x - 0.5

y = -0.5·x - 0.5

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Y=-3x²+26x–46
x+y = 8

Answers

Answer:

-3x^2--20x+(y-8)=0

how fast is the angle between the ladder and the ground changing in example 2 when the bottom of the ladder is 6 ft from the wall?

Answers

The angle between the ladder and the ground is - 0.075 rad/s.

Pythagoras' theorem is a essential relation in Euclidean geometry among the 3 facets of a proper triangle. It states that the region of the rectangular whose aspect is the hypotenuse (the aspect contrary the proper angle) is identical to the sum of the regions of the squares on the alternative  facets.

cosθ = x/10

On differentiating the above equation,

- sinθdθ/dt = (1/10)dx/dt

dθ/dt = -(1/10)dx/dt/sinθ

sinθ = y/10

= √(100 - 36)/10

= 0.8; dθ/dt

= -(1/10)·0.6 ft/s/0.8

= - 0.075 rad/s

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Select the correct answer.
Of a group of 500 people, 60 are fit enough to climb Mount Shasta in California. The group has 300 women and 200 men. 12% of the men are fit to climb the mountain. What is
the probability that a person picked at random from the group is a male or is fit to climb Mount Shasta?

Answers

the probability that a person picked at random from the group is a male or female is fit to climb Mount Shasta is  0.472 (or in percent near 47.2%).

How do you calculate probability?

The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event might occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.

What are the 3 types of probability?

Classical: (equally probable outcomes) (equally probable outcomes) Let S be the sample space (the collection of all unique outcomes that might occur).

Subjective Probability. Definition of Relative Frequency.

1. Determine the number of male climbers:

200 men - 100%

x men - 12 %

. Of the 60 people in California who are physically capable of climbing Mount Shasta, 24 are men, leaving 36 women.

 The likelihood that a guy will be selected at random from the group is

 The likelihood that a random member of the group is physically capable of climbing Mount Shasta is: 0.472

 0.472 (or, in percentage terms, close to 47.2%).

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Stella has $4.50 worth of dimes and quarters. She has 3 more dimes than quarters.
Determine the number of dimes and the number of quarters that Stella has.
There are
dimes and
quarters.

Answers

12 quarters and 15 dimes. Three more dimes than quarters. So 12 quarters is $3.00 and 15 dimes is $1.50 bring the quarters and dimes together for a total of $4.50.

$89.75 scooter; 7.25% tax

Answers

Answer:

$97

Step-by-step explanation:

An equiangular triangle has one side of length six inches. What is the perimeter of the triangle, in inches?.

Answers

Answer: 18 inches

Step-by-step explanation:

A triangle with three equivalent angles, because of the properties of triangles, would also be an equilateral triangle. This means each side length is 6 inches. 6+6+6=18 inches.

Elizabeth made a scale drawing of her school's basketball court before devising a winning
strategy for her team. The dimensions of the court are 15 m by 27 m.
Move points to recreate Elizabeth's drawing on the grid below.

Answers

The answer to this question would be 5 by 9.

5 by 9 is the answer that’s the answer

solve for y. log5 logy=log40

Answers

For the given log function, the value of y is 8.

What is a logarithmic function?

An exponent is a logarithm. In logarithmic form, any exponential expression can be rewritten.

Here given, log function :

Log 5 + Log y = Log 40

Can be also written as,

Log y = Log 40 - Log 5  => (eq1)

Based on log property we know that,

Log m - Log n = Log

That is,

Log 40 - Log 5 = Log

Also be written as,

Log 40 - Log 5 = Log 8   => (eq2)

By solving eq1 and eq2, we get,

Log y = Log 8

∴  y = 8

Therefore, The value of will be y = 8

Hence by solving  Log 5 + Log y = Log 40 , the value of y is 8.

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Value of y is 8.

What is a logarithmic equation?

The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b. For instance, because 1000 is equal to 10³, its logarithm in base 10 is 3, or log₁₀ (1000) = 3. When there is no possibility of mistake or when the base is irrelevant, as in big O notation, the logarithm of x to base a is written as logₐ (x), logₐ x, or even without the explicit base, log x.

Given, the equation is log5 + logy = log40

log 40 can be written as log (5*8)

According to the logarithmic equation of log ab = log a + log b

Thus log 40 = log 5 + log 8

Now, the expression becomes

log5 + logy = log 5 + log 8

⇒ log y = log 8

⇒ y = 8

Thus, value of y is 8.

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Aaden has a loyalty card good for a discount at his local hardware store. The item he wants to buy is priced at $38, before discount and tax. After the discount, and before tax, the price is $31.54. Find the percent discount.

Answers

Answer:

The percent discount is 17.3%.

The lowest temperature in January was less than−6°. Which could be the lowest temperature in January?

Answers

The lowest temperature in January is -10°C if the lowest temperature in January is less than -6°C.

What is meant by temperature?

A scaled way of measuring how hot or how chilly something is a living body's normal level of heat production; see thermometer. a condition of extreme body heat with an average oral temperature of 98.6°F. The ideas of hotness and coolness are expressed numerically as a physical value called temperature.

The calibration of thermometers involves employing a variety of temperature scales with clearly defined reference points and thermometric materials. The Celsius scale (°C), formerly known as centigrade, with the unit symbol °C, is the most commonly used scale, followed by the Fahrenheit scale (°F) and the Kelvin scale (K), which is mostly used for scientific purposes. One of the seven base units in the International System of Units is the kelvin (SI).

Given,

Less than 6° was the lowest temperature recorded in January.

The lowest temperature in January will be=?

It is -10°C.

Therefore, the lowest temperature in January is -10°C.

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six is what percentage of ten?

Answers

Answer: 60%

Step-by-step explanation:

6/10 = 60/100 = 60%

Answer: 60%

Step-by-step explanation:

6/10=60/100

In ΔPQR, \overline{PR} PR is extended through point R to point S, \text{m}\angle QRS = (7x+8)^{\circ}m∠QRS=(7x+8) ∘ , \text{m}\angle RPQ = (x+12)^{\circ}m∠RPQ=(x+12) ∘ , and \text{m}\angle PQR = (3x+20)^{\circ}m∠PQR=(3x+20) ∘ . Find \text{m}\angle RPQ.m∠RPQ.

Answers

The measurement of ∠RPQ is 20°.

What is the meaning of extended point?

A polygon's extended side or sideline in plane geometry is the line that contains one of the polygon's sides. Several situations call for the extension of a side.

Given that,

In ΔPQR, the side PR is extended to the point S.

The measurement of ∠RPQ is (x+12)°, ∠QRS is (7x+8)°, and ∠PQR is (3x+20)°.

We know that, the exterior angle of triangle is equal to the sum of opposite interior angles.

Therefore,

∠QRS = ∠RPQ + ∠PQR

Putting the value of ∠QRS, ∠RPQ, ∠PQR in the above equation:

(7x+8)° = (x+12)° + (3x+20)°

7x + 8 = 4x + 32

Subtract 4x from both sides:

3x  + 8 = 32

Subtract 8 from both sides:

3x = 24

Divide both sides by 3:

x = 8

Putting x = 8 in ∠RPQ = (x+12)°

∠RPQ = (8+12)° = 20°

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A square has an unknown side length, 2x. Write a simplified expression for its perimeter and area

Answers

The simplified expression for its perimeter and area are 8x and 4x².

What is the square's perimeter?

The sum of the lengths of all the sides of a square is its perimeter. Thus, by summing the lengths of a square's four sides, we can get its perimeter. An equal number of sides make up a square. As a result, the side of a square is added four times to determine the square's perimeter.

What is a square area?

(Side) (Side) square units make up a square's area. When the diagonal, d, is known, the area of a square is equal to d22 square units. For instance, 8 8 or 64 square feet is the size of a square with sides that are each 8 feet long (ft2).

Area of square = a²

= (2x)²

= 4x²

Area of square = 4x²

Perimeter of square = 4*a

= 4 * 2x

= 8x

Perimeter of square = 8x

Hence, the simplified expression for its perimeter and area are 8x and 4x².

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Write an expression in simplest form that represents the vertical distance between the two lines shown. Graph of a system of 2 linear equations. The line y equals x minus 1 goes through ordered pair 0 comma negative one and ordered pair 3 comma 2. The line y equals 2 x minus 4 goes through ordered pair 0 comma negative 4 and ordered pair 3 comma 2. Expression in simplest form: Question 2 What is the distance when $x=3$ ? Distance: What is the distance when $x=-3$ ? Distance: Skip to navigation

Answers

The distance between the two lines from the graph is 1 unit.

How to represent a straight line on a graph?

To represent a straight line on a graph consider two points namely x and y intercepts of the line. To find x-intercept put y = 0 and for y-intercept put x = 0. Then draw a line passing through these two points.

The given equations are as below,

y = x - 1

And,

y = 2x - 4

They can be drawn on a graph as follows,

From the graph the distance between two lines can be calculated as the difference between their x-intercepts as,

2 - 1 = 1 unit.

Hence, the distance between the two lines is given as 1 unit.

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Quandale Dingle has $40 dollars in his bank account. He gives JaQuavion Johnson one-fourth of that money, and JaQuavion Johnson gives Quandale Dingle $2 back. Quandale Dingle then gives $8 to Tyrone and Jamal each so they can escape from the cotton fields. Quandale Dingle then gives $6 to a homeless person and puts the remaining money in his bank account. He wins $50 in the lottery and puts that in his bank account. How much money does Quandale Dingle have in his bank account now?

Answers

Answer:

$60.00

Step-by-step explanation:

1/4(40) = 10

40 - 10 = 30

30+ 2 = 32

32 - 8 - 8 = 16

16 - 6 = 10

10 + 50 = 60

Find the values of x and y. The diagram is not to scale

Answers

Answer:

B

Step-by-step explanation:

(x - 1) and 74° are corresponding angles and are congruent , so

x - 1 = 74 ( add 1 to both sides )

x = 75

the top angle of the triangle are alternate angles and are congruent

top angle = 40°

the sum of the 3 angles in a triangle is 180°

sum the 3 angles and equate to 180

y - 2 + 40 + 74 = 180

y + 112 = 180 ( subtract 112 from both sides )

y = 68

Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

Answers

We can rewrite the circle equation as:

(x - 1)^2 + y^2 = 9

Then the two true statements are:

"The center of the circle lies on the x-axis"

" The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9."

Which statements are true about the circle?

Remember that a general circle equation with a center (a, b) and radius R is:

(x - a)^2 + (y - b)^2 = R^2

Here the equation is:

x^2 + y^2- 2 x - 8 = 0

We can rewrite this as:

(x^2 - 2x) + y^2 = 8

Adding and subtracting 1 in the left side we can complete squares:

(x^2 - 2x + 1) - 1 + y^2 = 8

(x - 1)^2 + y^2 = 9

Tha is our equation, so the center is (1, 0) and the radius is 3 units.

Then the true statements are:

"The center of the circle lies on the x-axis"

" The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9."

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The original price of a sweatshirt is $50. The sale price is 75% of the original price. Find the sale price of the sweatshirt.
Group of answer choices

$45.25
$10
$12.50
$37.50

Answers

Answer:10

Step-by-step explanation:

Answer:

$37.50

Step-by-step explanation:

75% of $50:

0.75x50=$37.50

A laundromat has a wash-and-fold service for a monthly fee of $26.00. The laundromat will wash and fold clothes at
$0.53 per pound for those customers with a laundry service. One customer paid $37.66 total for the month.
Which equation can be used to determine the pounds of laundry the customer brought in to be washed and folded that month?
OA. 26.00-0.53x = 37.66
OB. 0.53x + 37.66 = 26.00
OC. 37.66+26.00 = 0.53x
OD. 0.53x+26.00 = 37.66

Answers

The equation that can be used to determine the pounds of laundry the customer brought in to be washed and folded that month is;

D. 0.53x + 26.00 = 37.66

How to solve linear equation word problems?

We are given that;

Monthly service fee for Lundromat = $26

They wash and fold clothes at $0.53 per pound  for those customers with a laundry service.

Now, we are told that a customer paid $37.66 total for the month.

If the number of pounds of clothes is denoted as x, then it means that the equation for this will be;

0.53x + 26.00 = 37.66

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What is the sum?

−3 1/4+(−4 2/5)

pls answer quick

Answers

Answer:

To find the sum of the two fractions, we first need to express them in a common denominator. Since the denominators of the two fractions are different, we will need to find the least common multiple (LCM) of the two denominators.

The LCM of 4 and 5 is 20, so we can express the two fractions in terms of 20 as follows:

-3 1/4 = -3 5/20

-4 2/5 = -4 8/20

Now that the two fractions have a common denominator, we can add them by adding the numerators and keeping the denominator the same:

(-3 5/20) + (-4 8/20) = (-3 + -4) 13/20 = -7 13/20

Therefore, the sum of the two fractions is -7 13/20.

The sum of −3 1/4 + (−4 2/5) is 7.65

Now, what is mixed fraction?

Mixed fractions are type of a fraction which includes a whole number and a fraction.

So, any improper fraction can be written as a mixed fraction. Quotient will be the whole number and in the fractional part, numerator is the remainder and denominator will be the divisor.

[−(3 1/4)] + [−(4 2/5)] = [-(13/4)] + [-(22/5)]

When cross multiplying, we will get

-(13/4 + 22/5) = -(65 + 88)/20 = -153/20 = 7.65

Hence, the sum of −3 1/4 + (−4 2/5) is 7.65.

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what is the probability that lamar and hareesh finish their jobs within 5 minutes of each other on a randomly selected day?

Answers

The probability that Lamar and Lawrence finish their jobs within 5 minutes of each other on a randomly selected day is 0.2892

Consider the time for the Lamar to finish the job as x and the time for the Lawrence to finish the job as x

Consider the random variable x-y

x-y normal with mean = 105 - 98

= 7

Similarly the variance of the random variable x-y

= 105 + 225

= 325

The standard deviation = [tex]\sqrt{325}[/tex]

= 18.03

Here we have to find the probability that Lamar and Lawrence  finish their jobs within 5 minutes of each other on a randomly selected day

P(|x-y|<5) = P(-5<U<5)

Now we have to convert to standard normal variate Z

Then the it will be

(-5-7)/18.03 = -0.67

(5-7) / (18.03)= 0.11

The probability of the given condition will be

P(-0.67<Z<0.11) = 0.2454 + 0.0438

Add the terms

= 0.2892

Therefore, the probability is 0.2892

The complete question is:

Lamar and Lawrence run a two-person lawn-care service. they have been caring for Mr. Johnson's very large lawn for several years, and they have found that the time it takes Lamar to mow the lawn itself is approximately normally distributed with a mean of 105 minutes and a standard deviation of 10 minutes. meanwhile, the time it takes for Lawrence to use the edger and string trimmer to attend to details is also normally distributed with a mean of 98 minutes and a standard deviation of 15 minutes. they prefer to finish their jobs within 5 minutes of each other. what is the probability that this happens, assuming their finish times are independent?

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Find the sum of the first 6 terms of the given sequence. The sequence is either arithmetic or geometric.
-1, 7, -49, ...

Answers

The Sum of the first six terms of the progression is 14706

What is Geometric Progression?

A geometric progression, also known as a geometric sequence, is a non-zero numerical series in which each term after the first is determined by multiplying the preceding one by a fixed, non-zero value known as the common ratio.

Solution:

On carefully observing

We can state that, the Common Ratio is -7

Sum(n) = a([tex]r^{n}[/tex] - 1) / r - 1

Sum(6) = -1 (-7^6 - 1) / -7-1

Sum(6) = -1(117648)/-8

Sum(6) = 14706

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Astronomers discover a new planet which has three moons. The time that each one takes to complete one full revolution around the planet is shown below. If they are in the position shown above at this moment, after how many days will the three of them again be exactly in the same position next? a) 25 days b) 30 days SECTIO c) 300 days 30 days - 25 days →20 days d) 600 days please help​

Answers

To determine the length of time it takes for all three moons to return to the same position, you need to find the least common multiple (LCM) of the three time periods.

The LCM of 25 days, 30 days, and 20 days is the smallest number that is a multiple of all three of these numbers. You can find the LCM by listing the multiples of each number and finding the smallest number that is a multiple of all three:

25 days: 25, 50, 75, 100, 125, 150, 175, 200, 225, 250, ...

30 days: 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, ...

20 days: 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, ...

The LCM of 25, 30, and 20 is 60 days, so it will take 60 days for the three moons to be in the same position again. Therefore, the correct answer is (c) 300 days.

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A bicycle store costs $2500 per month to operate. The store pays an average of $70 per bike. The average selling price of each bicycle is $120 How many bicycles must the store sell each month to break even?​

Answers

Answer:

50

Step-by-step explanation:

Which of the following Cannot be the sides of a triangle class 7? (a) 4,5,6
(b) 3,4,5
(c) 2,3,4
(d) 1,2,3​

Answers

These can not be the sides of a Triangle.

What is a triangle and the response?

Triangles are a particular kind of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional figure shown here.

                       Three-sided polygons include triangles. Three triangle angles added together equal 180 degrees.

Property of triangle

Sum of any two sides > third Side

4 , 5 , 6

4 + 5 > 6 , 4 + 6 > 5 , 5 + 6 > 4

3 , 4 , 5

3 + 4 > 5 , 3 + 5 > 4  , 4 + 5 > 3

2 , 3 , 4

2 + 3 > 4   , 2 + 4 > 3  , 3 + 4>2

1  , 2   , 3

1  + 2  = 3  

Sum of 1 & 2  is not greater than 3

Hence, these can not be the sides of a Triangle.

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2 + 3 + 1 17/20 + 1/2 + 3/4

Answers

Answer:

Step-by-step explanation:

12.1

Answer:

8 [tex]\frac{1}{10}[/tex]

Step-by-step explanation:

[tex]\frac{17}{20}[/tex] = [tex]\frac{34}{40}[/tex] Multiplied the numerator and denominator by 2

[tex]\frac{1}{2}[/tex] = [tex]\frac{20}{40}[/tex]  Multiplied the numerator and denominator by 20

[tex]\frac{3}{4}[/tex] = [tex]\frac{30}{40}[/tex]  Multiplied the numerator and denominator by 10

2 + 3 + 1 [tex]\frac{34}{40}[/tex] + [tex]\frac{20}{40}[/tex] + [tex]\frac{30}{40}[/tex]

6 [tex]\frac{84}{40}[/tex]  This can be written

6 + [tex]\frac{40}{40}[/tex] + [tex]\frac{40}{40}[/tex] + [tex]\frac{4}{40}[/tex]  another name for [tex]\frac{40}{40}[/tex] is 1

6 + 1 + 1 +[tex]\frac{4}{40}[/tex]

8[tex]\frac{4}{40}[/tex]  Divide the numerator and denominator by 4 to simplify

8 [tex]\frac{1}{10}[/tex]

A collection of nickels and dimes is worth $2.85. If there
are 34 coins in the collection and each nickel is replaced
with a quarter, the value of the collection becomes:
O $13.50
O none of the above
O $5.05
O $8.50

Answers

In the collection, there are 11 nickels and 23 dimes. If each nickel is replaced with a quarter, the value of the collection becomes $5.05. So, C is correct. By writing them in the system of equations, we get the required value.

Conversion of the given units into dollars:

The given units are nickels, dimes, and quarters. Their conversion into dollars is as follows:

1 nickel = $0.05

1 dime = $0.10

1 quarter = $0.25

Calculation:

Given a collection of nickels and dimes is worth $2.85.

And there are 34 coins in the collection.

So, consider the number of nickel coins = n and the number of dime coins = d.

Then, the equation for the given collection is

n + d = 34...(1)

0.05n + 0.10d = 2.85...(2)

On simplifying (2), we get

5n + 10d = 2.85 × 100

⇒ 5n + 10d = 285

From (1), n = 34 - d, we get

5(34 - d) + 10d = 285

⇒ 170 - 5d + 10d = 285

⇒ 5d = 285 - 170 = 115

∴ d = 115/5 = 23

Thus, the number of dime coins is 23.

So, from (1), we get n + 23 = 34 ⇒ n = 34 - 23 = 11

∴ n = 11

Thus, the number of nickel coins is 11.

If each nickel coin in the collection is replaced with a quarter, then the value of the collection is

q + d = 34 and 0.25q + 0.10d = Y

Here q = 11; d = 23

So, we get

0.25(11) + 0.10(23) = Y

⇒ 2.75 + 2.3 = Y

⇒ 5.05 = Y

∴ Y = $5.05

The value of the new collection becomes $5.05.

Learn more about equations at the following link:

https://brainly.com/question/22688504

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Classify the triangle shown by sides and angles.​

Answers

Answer:

Acute Scalene Triangle  

Step-by-step explanation:

Look at all three angles of the triangle they are all acute. In addition, all of the angles on the triangle are different making it scalene.

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