B
00
B
17
15
A
Find sin(B)in the triangle.

The amount of the investment after 8 years will be, $4,357.64

Given, $500 is invested in an account earning 7% interest compounded quarterly.

We have to find the value of the invested amount after 8 years,

as, Amount = P(1 + r/100)^t

where, P is the amount of money invested, r is the rate of interest and t is the amount of time

Amount = 500(1 + 7/100)^(8×4)

Amount = 500(1.07)^32

Amount = 500×8.715

Amount = 4,357.635

So, the amount of the investment after 8 years will be, $4,357.64

Hence, the amount of the investment after 8 years will be, $4,357.64

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Answer:

697.7

Step-by-step explanation:

Answer:

f(x) \(\leq\) 3x + 4

g(x)  ≥ -1/2x - 5

Step-by-step explanation:

Point D is below f(x)  and above g(x)

Helping in the name of Jesus.

Answer:

Step-by-step explanation:

r = 8.35 ft

area of circle = πr² = 69.7225π ft²

θ = 5π/9 radians

area of unshaded segment = r²(θ-sinθ)/2 ≅ 26.51 ft²

shaded region = 69.7225π - 26.51 ≅ 192.53 ft²

The area shaded region is found to be as 192.97 ft².

A circle is a geometric shape, all of which points are equidistant from a fixed point called as the centre.

The centre of the circle does not lie on it.

The largest line segment that can be drawn inside a circle is its diameter.

For the given circle,

Radius is given as 8.35 ft.

And, the angle subtended by minor arc is 100°.

Then, the angle formed by major arc is 360 - 100 = 260°.

Noiw, the area of shaded region is given as below,

Area of the sector for major arc + Area of triangle

⇒ 260/360 × πr² + 1/2 × r²

Plug π = 3.14 and r = 8.35 to obtain,

⇒ 13/18 × 3.14 × 8.35² + 1/2 × 8.35²

⇒ 192.97 ft²

Hence, the area of the shaded region is obtained as 192.97 ft².

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Mrs. Wu initially had $1062.40.

Let's break down the given information step by step:

1. Mrs. Wu spent 1/6 of her money on a dress and 2 blouses.

  Let's assume Mrs. Wu's total money is represented by the variable M. She spent 1/6 of M on the dress, which means she spent (1/6)M on the dress and the same amount on two blouses.

2. The dress cost 3 times as much as each blouse.

  Let's assume the cost of each blouse is represented by the variable B. Therefore, the cost of the dress would be 3B.

3. Mrs. Wu spent 3/4 of her remaining money on a watch.

  After spending on the dress and blouses, Mrs. Wu has (M - (1/6)M) = (5/6)M remaining. She spent 3/4 of this remaining money on a watch, which is (3/4) * (5/6)M = (15/24)M.

4. She spent $220.50 more on the watch than on the dress.

  The amount spent on the watch is (15/24)M, and the amount spent on the dress is (1/6)M. The difference between these amounts is $220.50.

To find the value of M, we can set up an equation:

(15/24)M - (1/6)M = $220.50

Simplifying the equation:

(15/24 - 1/6)M = $220.50

(5/24)M = $220.50

Multiplying both sides by (24/5):

M = $220.50 * (24/5)

M = $1062.40

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1.67 pounds flour we get per dollar.

Pound, avoirdupois weight unit equivalent to 16 ounces, 7,000 grains, or 0.45359237 kg, and troy and apothecaries' weight unit equal to 12 ounces, 5,760 grains, or 0.3732417216 kg The symbol lb comes from the Roman predecessor of the contemporary pound, the libra.

Given,

Cost for 2 pounds of flour = $ 1.20

Cost per pound of flour = $ 1.20 /2

                                       = $ 0.20

Now for 2 dollar we get flour = 2 pounds.

for 1 dollar we will get flour = 2/1.20 pounds

                                              = 1.6666 pounds

i.e. for 1 dollar we will get flour = 1.67 pounds.

So, 1.67 pounds flour we get per dollar.

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Do you have a pcture of this problem?

thanks

5

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

The percentage did the total yield, by weight, of her fruit harvest declined by approximately 24%, which is option B.

what is percentage ?

Percentage is a way of expressing a number or quantity as a fraction of 100. It is often denoted by the symbol % (percent). For example, 50% means 50 out of 100, or 50/100, or the equivalent fraction 1/2.
Percentages are commonly used in many real-world situations, such as in finance, statistics, and everyday life. They are often used to express changes, differences, or ratios between two values.

According to the question:

To solve this problem, we need to calculate the total weight of fruit harvested in the first year and the total weight of fruit harvested in the second year, and then calculate the percentage decline.

Total weight of fruit harvested in the first year = 40 + 12 = 52 pounds

After a 25% decline, the weight of pears in the second year = 40 - 0.25(40) = 30 pounds

After a 20% decline, the weight of plums in the second year = 12 - 0.20(12) = 9.6 pounds

Total weight of fruit harvested in the second year = 30 + 9.6 = 39.6 pounds

Percentage decline in the total yield of fruit harvest = [(52 - 39.6)/52] x 100% = 23.8%

Therefore, the answer is approximately 24%, which is option B.

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The mean number of ice chests in a section is 46.75.

The mean is the average or the most common value in a collection of numbers. In statistics, it is a measure of central tendency along median and mode..

To find the mean number of ice chests in a section, we need to calculate the sum of the ice chests and then divide total number of sections sampled.

Sum of ice chests = 48 + 51 + 26 + 73 + 51 + 48 + 26 + 51

Sum of ice chests = 374

Mean number of ice chests will be:

= (Sum of ice chests) / (Total number of sections sampled)

= 374 / 8

= 46.75

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In the above proportions problem, note that the distance of PR is 155.17ft.

To solve for PR, note that

OC/RE = PR/OR

That is:

225/145 = PR/100

To solve for PR, we can cross-multiply the fractions:

225 * 100 = 145 * PR

22,500 = 145PR

Dividing both sides by 145:

PR = 155.17

Therefore, PR is approximately 155.17ft

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Answer: Solution for 5x-8=2 equation:

5x - 8 = 2

5x = 2 + 8

5x = 10 (divide both sides by 5 to get x)

5x/5 = 10/5

x = 2

Step-by-step explanation:

Answer:

corresponding

Step-by-step explanation:

<1 and <5 are corresponding angles because they are on the same side of the transversal and on the same side of l and m

The steps that Patel could he use to solve the quadratic equation include:

8(x² + 2x) = –3

8(x² + 2x + 1) = –3 + 8

x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot

It is preferred to solve quadratic equations without the use of the known quadratic formula solver. This can be completing squares and solving for x.

The equation given is:

8x² + 16x + 3 = 0

8(x² + 2x) = -3

Completing squares in the brackets and balancing the equation:

8(x² + 2x + 1) = -3 + 8

Factoring the perfect square will give 8(x + 1)² = 5.

This is illustrated in the options picked for the step.

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Answer:

42

Step-by-step explanation:

Find the length with and height.

This would be 3, 2 and 7.

Multiply.

V=whl

=2·7·3

=42m^3

(42 cubic meters because we calculated volume and they didn't give an exact measurement.)

Answer:

Step-by-step explanation:

Mario recibe Q40,000.00, Leticia recibe Q20,000.00, and Beatriz receives Q20,000.00. Therefore, Mario and Leticia receive a total of Q60,000.00.

The value of the z-test statistic = 1.16667

When told the question that a random number of samples is tested

z test statistic formula = x - x bar(x with bar above it) /Standard error

From the question

x = raw score = 46 pounds

x bar (x with bar above it)= sample mean = 45.5 pounds

Standard Error = σ/√n

Standard deviation = σ = 3

n = random number of samples = 49

z = 46 - 45.5/3/√49

z = 0.5/ 3/7

z =0.5/ 0.4285714286

z = 1.16667

Therefore, the value of the z-test statistic = 1.16667

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Mikey Johnson shipped out 34 2/7 pounds of electrical supplies. The supplies are placed in individual packets that weigh 2 1/7 pounds each. Therefore, Mikey shipped out 16 packets of electrical supplies.

To solve the problem, we can use the following steps.Step 1: Find the weight of each packet.

We are given that the weight of each packet is 2 1/7 pounds.

To convert this mixed number into an improper fraction, we can multiply the whole number by the denominator and add the numerator.

This gives us: 2 1/7 = (2 × 7 + 1) / 7= 15 / 7 pounds.

Therefore, the weight of each packet is 15/7 pounds.

Now, divide the total weight by the weight of each packet.

We are given that the total weight of the supplies shipped out is 34 2/7 pounds.

To convert this mixed number into an improper fraction, we can multiply the whole number by the denominator and add the numerator.

This gives us: 34 2/7 = (34 × 7 + 2) / 7= 240 / 7 pounds.

Therefore, the total weight of the supplies is 240/7 pounds.

To find the number of packets that Mikey shipped out, we can divide the total weight by the weight of each packet.

This gives us: 240/7 ÷ 15/7 = 240/7 × 7/15= 16.

Therefore, Mikey shipped out 16 packets of electrical supplies.

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download the gauthmath app i promise it's very helpful :)

Answer:

26

Step-by-step explanation:

➝6x-4+83=21x+4

➝6x+79=21x+4

➝21x+4=6x+79

➝21x-6x=79-4

➝15x=75

➝x=75/15

➝x=5

M<D

➝6x-4

➝6(5)-4

➝30-4

➝26°

Given:

Town's population = 20,439

Local country club members = 4,872

Percentage of local country club members in the town = ?

In order to find the percentage of the local country club members in the town, the first thing we need to do is divide the number of local country club members by the town's total population, and then, multiply it by 100.

Therefore the answer is option C. 25%

Answer:

I think it's =

Step-by-step explanation:

they both equal 32.

Answer:

=

Step-by-step explanation:

6^2 - 2^2

36 - 4

32

4 (6 + 2)

24 + 8

32

The best assessment of the linearity of the relationship between the day of the month and account balance would be "Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month."The correct answer is option C.

When assessing linearity, it is important to examine both the scatterplot and the residual plot. The scatterplot is used to visualize the relationship between the variables, while the residual plot helps us assess the appropriateness of a linear model by examining the pattern of the residuals (the differences between observed and predicted values).

If the scatterplot appears reasonably linear, it suggests that there is a linear relationship between the variables. In this case, since the scatterplot appears linear, it supports the use of a linear model to predict the account balance based on the day of the month.

Furthermore, the residual plot is used to check for any patterns or systematic deviations from the line of best fit. If the residual plot exhibits no obvious pattern and the residuals appear randomly distributed around zero, it indicates that the linear model captures the relationship adequately.

Therefore, if the residual plot shows no obvious pattern, it provides further evidence in favor of using the line of best fit to predict the account balance based on the day of the month.

In conclusion, when the scatterplot appears linear and the residual plot shows no obvious pattern, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.

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Answer:

person above

Step-by-step explanation:

the obvious

Answer and Step-by-step explanation:

The answer would be

CB ≅ AB

Because these parts of the shape match up and are proven congruent by CPCTC. And, if you were to look at the other pairs of sides given as answer choices, they don't look nearly the same.

#teamtrees #PAW (Plant And Water)

Answer: C

Step-by-step explanation:

The original price of the car is $17420

A percentage is a number or ratio that can be expressed as a fraction of 100.

Given that, a sale price of $13,065, which is 25% less than it sold for when it was new,

We need to find the original price of the vehicle,

Let the original price be x,

x - 25% of x = 13065

x(1-25%) = 13065

x(75/100) = 13065

x = 13065 × 100 / 75

x = 100 × 174.2

x = 17420

Hence, the original price of the car is $17420

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Answer:

3x2 + 4x − 4. A (x + 4) B(3x + 2) C(3x − 2) D(x − 2)    

Answer:

x>-9

Step-by-step explanation:

The given inequality is :

-3x - 7 < 20

We need to find the solution of the inequality using graph.

-3x - 7 < 20

Add 7 to both sides

-3x-7+7 < 20+7

-3x <27

x>-9

Hence, the attatched graph shows the solution of the given inequality.