A person invests 5000 dollars in a bank. The bank pays 6.25% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 6500 dollars?

Answer: 21 tons/wk

Step-by-step explanation:

6000 lb/day = 3 tons/day

3 t/day * 7 = 21 t/wk

Answer:

See picture below

Step-by-step explanation:

Use Desmos the free calcualtor.

Answer:

i think 2/15 of the cookies

Step-by-step explanation:

hope this helps

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The number of apples is 8.

The number of bananas is 2.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Total cost = $9

Cost of one apple = $1

Cost of one banana = $0.50

The number of bananas = x

The number of apples:

y = 4x

Now,

1y + 0.50x = 9

4x + 0.50x = 9

4.50x = 9

x = 9/4.50

x = 2

Now,

y = 4 x 2 = 8

Thus,

The number of apples 8.

The number of bananas is 2.

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The sample indicates that the data does not provide sufficient evidence to support the claim that 20% of plants are infected.

This given test is a test for single sample proportion

The test hypothesis are:

[tex]H_{o} :p=0.20[/tex], null hypothesis

[tex]H_{1} :p\neq 0.20[/tex], alternative hypothesis

The test statistic fallows a standard normal distribution and is given by:

[tex]Z=\frac{x-p}{{\sqrt{p(1-p)/n} } }[/tex]

p=0.20

X=47 plants

Sample size, n=500

x, is the sample mean:

x=X/n=47/500

x=0.094

So, test statistic is calculated as:

[tex]Z=\frac{0.094-0.20}{\sqrt{0.20(1-0.20)/500} }[/tex]

Z=-5.93

From the z-table, the p-value associated with Z=-5.93 is approximately 0

The decision rule based on p-vale, is to reject the null hypothesis if p-value is less than confidence level

In this case, the p-value is very small and less than confidence level of 0.20, we therefore reject the null hypothesis or the claim

So we conclude that the data does not provide sufficient evidence to support the claim that 20% of plants are infected.

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The answer would be 78 degrees, or 70 degrees

Answer:

-3 - i

Step-by-step explanation:

This is true, because when solving for an imaginary solution through a polynomial, the form A ± Bi will always be adhered. A and B are both constants.

(Constants are just any real number, like 1, 2.35, or [tex]\frac{1}{2}[/tex].)

Answer:

y=2x-2

Step-by-step explanation:

use y2-y1/x2-x1 to find slope

4-2/3-2

2/1

2 is the slope

A and B are the only possible answers so far

Now to find y intercept

We know it can’t be +2 because at 2 x is equal to 2 so -2 is the only option

Hopes this helps please mark brainliest

Answer:

8x1 4* 28 × +8 = 28x + 12

8x^1 + 4 times 28 + 8

Add common Factors which are 8x and 28x added they equals 36x and 4 and 8 which equals 12 so now we got 28x + 12 and that is the answer

PLEASE GIVE BRAINLIEST THANK YOU!!!

The slope of points (1,3) and (4,5) will be 2/3.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope is also defined as the ratio of the rise and the run of the line.

Given that the line is passing through points (1,3) and (4,5). The slope of the line will be calculated as,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( 5 - 3 ) / ( 4 - 1)

Slope = 2 / 3

Therefore, the slope of points (1,3) and (4,5) will be 2/3.

The complete question is given below.

Find the slope of the line that passes through both points (11,3) and (4,5).

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Answer:

y = [tex]\frac{3}{4}[/tex] x + 8

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = [tex]\frac{3}{4}[/tex] , then

y = [tex]\frac{3}{4}[/tex] x + c ← is the partial equation

to find c substitute (- 4, 5 ) into the partial equation

5 = - 3 + c ⇒ c = 5 + 3 = 8

y = [tex]\frac{3}{4}[/tex] x + 8 ← equation of line

The x and y do not have the values in the equation because both the equations don't intersect each other.

given that the equation,

x + 2y = 4 ..........i

3x + 6y = 18 ...........ii

now multiply i with 3 and subtract with from ii,

3x + 6y = 18

-(3x + 6y ) = 12

0x + 0y = 6

which is not possible so x and y do not have the values at the intersection of the both equations which states that both the equation do not intersect at each other.

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Step-by-step explanation:

25/3 = 8.33

hope it's helpful

The option that is not an isometry from the given transformations is 3). Point reflection.

An Isometry refers to a transformation that leads to the distance and length  of a shape being preserved when it is transformed.

Translations and rotations preserve the shape of a figure during transformation which means they preserve length which makes them an isometry. The same is true of line reflections.

Point reflections on the other hand, will lead to a change in dimensions for the figure being transformed.

In conclusion, `a point reflection is not an isometry.

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the probability that 2 are 65 years or older, 5 are 55-64 years old, 6 are 25-54 years old, 4 are 15-24 years old and 3 are 0-14 years old IS 0.24243

the complete question is:

The demographic profile of Ecuador in 2018 is • 27.08% of the population are 0–14 years old • 18.35% are 15–24 years old • 39.59 are 25–54 years old • 7.53% are 55–64 years old • 7.45% are 65 years and older. In a random sample of 20 people, what is the probability that 2 are 65 years or older, 5 are 55–64 years old, 6 are 25–54 years old, 4 are 15–24 years old and 3 are 0–14 years old?

answer:

P(x) = P(x=2) + P(x=5) +p(x=6) +p(x=4) +p(x=3)

      =20[tex]C_{2}[/tex][tex](7.45)^{2}[/tex][tex](2.55)^{18}[/tex]+20[tex]C_{5}[/tex][tex](7.53)^{5}[/tex][tex](2.47)^{15}[/tex]+20[tex]C_{6}[/tex][tex](39.59)^{6}[/tex][tex](0.41)^{14}[/tex]+20[tex]C_{4}[/tex][tex](18.35)^{4}[/tex][tex](1.65)^{16}[/tex]+20[tex]C_{3}[/tex][tex](27.08)^{3}[/tex][tex](2.92)^{17}[/tex]

P(x) = 0.2424

the probability that 2 are 65 years or older, 5 are 55-64 years old, 6 are 25-54 years old, 4 are 15-24 years old and 3 are 0-14 years old IS 0.24243

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The inequality is 45m + 14 n ≥ 250.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

He makes 45 for every lawn he mows

and an extra 15 for raking

His goal earning= at least 250 per week

let the number of lawn he mow is m and the number of lawn rakes is n.

Then the inequality is

45m + 14 n ≥ 250

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In most of the cases airlines charges a fees for baggage weigh in excess of 50 pounds. Then about 94.06% passengers incur this fees.

When the distribution is normal, we use the z-score formula.

In a set with mean and standard deviation , the z-score of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Given That,

Mean (μ) = 45 pounds and Standard Deviation (σ) = 3.2

This means that μ = 46 , σ = 3.2

Since, Most airlines charges a fee for baggage that weigh in excess of 50 pound.

Then, As a proportion this is 1 subtracted by the P - value of Z when

X =50. So,

      Z = X - μ / σ

⇒ Z = 50 -45/ 3.2

⇒ Z = 5/3.2

⇒ Z = 1.56

when Z = 1.56 has a P- value of 0.9406

Now, 0.9406 × 100%

       = 94.06%

Therefor, 94.06% of airline passengers incur this fees.

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Step-by-step explanation:

AC is the combination of AB and BC.

so, AB + BC = AC

(2n - 1) + (4n + 5) = 10n - 12

2n - 1 + 4n + 5 = 10n - 12

6n + 4 = 10n - 12

4 = 4n - 12

16 = 4n

n = 4

The population size does not determine the sampling distribution.

In the give question we have to find which choice does not determine the sampling distribution.

We firstly learn more about sampling distribution

A sampling distribution is a probability distribution of a statistic that is derived from a bigger sample size of individuals chosen at random from a given population. The sampling distribution of a particular population is the distribution of frequencies of a variety of potential outcomes for a population statistic.

So, the population size does not determine the sampling distribution.

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The soup mix that this recipe makes is 5.

The property could you use to change the grouping of the addends is the associative property of addition.

From the information, the following can be deduced:

7/4cups uncooked rice

1/2 cup dry lentils

1 2/3 = 5/3 cups uncooked pasta

1/3 cup beef bouillon

1/4 cup dried onion flakes

1/2cup dried peas

The soup mix that this recipe make will be the addition of all the values. This will be:

= 7/4+ 1/2+5/3 +1/3 +1/4 +1/2

= 5

The associative property of addition can change the grouping.

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The vehicles will meet at 0845 at a distance of 64 km from P when they move at the respective speeds.

The car moves at a speed of 80km/h from P to Q and it takes time t

t = 9.30 - 8.00 = 1 hour 30 minutes or 1.5 hours

Distance covered = speed × time

Distance = 80 × 1.5 = 120 km

Now et the cars meets at a distance of x km from P.

times taken by the car to cover x km = x/80 hours

The lorry travels 120 - x in that same time.

time taken = 70/(120 - x)

Now the time taken must be equal.

Therefore we will form an equation to calculate x.

(120 - x) / 70 = x / 80

or, 960 - 8x = 7x

or, 15x = 960

or, x = 64

Therefore the cars will meet at 64 km from P.

Now time taken by the car to cover 64 km = 64/80 = 0.8 hours = 48 minutes

Hence the cars will meet at 0845 hours.

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An absolute value equation that can be used to find the maximum and minimum scores within one standard deviation of the mean is |x - 20.9| = 5.3.

The minimum score that is within one standard deviation of the mean is equal to 15.6.

In Mathematics, an absolute value function can be defined as a type of function that consist of an algebraic expression, which is placed within absolute value symbols and measures the distance of a point on the x-coordinate to the x-origin (0).

Mathematically, an absolute value function can be represented by this mathematical expression:

Since the standard deviation is 5.3 and the mean is 20.9, an absolute value equation for the scores that is within one standard deviation of the mean is given by:

|x - 20.9| = 5.3.

x - 20.9 = ±5.3

Evaluating the absolute value function, the maximum score is given by:

x - 20.9 = 5.3

x = 20.9 + 5.3

x = 26.2.

Evaluating the absolute value function, the minimum score is given by:

x - 20.9 = -5.3

x = 20.9 - 5.3

x = 15.6.

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Complete Question:

The most familiar statistical measure is the arithmetic mean, or average. A second important statistical measure is the standard deviation, which is a measure of how far the data are from the mean. For example, the mean score on the Wechsler IQ test is 100 and the standard deviation is 15. This means that people within one standard deviation of the mean have IQ scores that are 15 points higher or lower than the mean. One year, the mean mathematics score on the ACT test was 20.9 with a standard deviation of 5.3. Write an absolute value equation to find the maximum and minimum scores within one standard deviation of the mean. Use your equation to find the minimum score that is within one standard deviation of the mean

Answer:

Step-by-step explanation:

Ok! So apparently I think you are learning about pre algebra. So the questions are saying what times 1/4=8 in that case it would be x = 32. x is just a fancy way to say you don’t know what it is.

The total cost of 12 printers is; $493.41

Cost of first printer; C1 = $54

Cost of second printer is; 95% × 54 = $51.3

Cost of third printer is; 0.95 × 51.3 = $48.735

Cost of fourth printer = 0.95 × 48.735 = $46.298

Now, let us apply same pattern using a calculator for the remaining costs and we will have them as follows;

Cost of 5th printer = $43.983

Cost of 6th printer = $41.784

Cost of 7th printer = $39.695

Cost of 8th printer = $37.710

Cost of 9th printer = $35.825

Cost of 10th printer = $34.033

Cost of 11th printer = $32.332

Cost of 12th printer = $30.715

Total cos is; 54 + 51.3 + 48.735 + 46.298 + 43.983 + 41.784 + 36.695 + 37.710 + 35.825 + 34.033 + 32.332 + 30.715 = $493.41

Therefore, the total cost of 12 printers is $493.41

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The actual width of the countertop is 4 feet

Given,

Valentina measured a kitchen and made a scale drawing;

The scale she used for the drawing = 1 inch ; 2 feet

The width of countertop of kitchen in drawing = 2 inches.

We have to find the actual width of the countertop;

Here,

The scale factor used in the drawing = 1 inch = 2 feet

1 inch  = 2 feet

2 inch = 2 x 2 = 4 feet

Now,

The actual width of the countertop = Width in drawing x 2

= 2 x 2 = 4 feet

That is,

The actual width of the countertop is 4 feet

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Answer: y=-0.5x-1

Step-by-step explanation:

                                              y=mx+b

Convert the given values f(-10) = 4, f (8) = -5 to coordinates (-10,4)  (8,-5)

Hence we use the formula for finding the slope m:

[tex]\displaystyle\\\boxed{m=\frac{y_2-y_1}{x_2-x_1} }\\\\x_1=-1\ \ \ \ \ x_2=8\ \ \ \ \ \ y_1=4\ \ \ \ \ y_2=-5\\\\m=\frac{-5-4}{8-(-10)}\\\\m=\frac{-9}{8+10} \\\\m=\frac{-9}{18} \\\\m=-0.5\\\\Thus, y=-0.5x+b\ \ \ \ (1)\\\\[/tex]

We substitute the value of (-10,4) into equation (1):

[tex]4=-0.5(-10)+b\\\\4=5+b\\\\-1=b\\\\Thus, b=-1[/tex]

Hence, y=-0.5x-1

Answer:-9

Step-by-step explanation:

-(5+4)

-(9)

The sun's angle of elevation when a 47-foot mast casts a 14-foot shadow 73.4127

At the foot of the mast, place the 90 degree (right) angle of a right triangle. When the sun hits the mast, it casts a 47-foot shadow. Consider the mask's height to be on the "opposite side" of the elevation angle, and this shadow to be on the "adjacent side."

The "tangent" trig function includes the following variables:

Tan = (opposite side) (elevation angle) (adjacent side).

In this case, tan (angle of elevation) equals opposing side / adj opposing side.

is used for

radians, or tan (angle of elevation)

= 47/14 = 3.3571

3.3571 is equal to 73.4127 degree.

The angle of elevation of the sun when a 47-ft mast casts a 14 ft

shadow 73.4127 degree

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The option that Sarah should choose is option 2.

Sarah would choose the option that give her the higher amount of money at her 21st birthday.

The amount that Sarah would earn each year with option 1 would increase at a linear rate. This is because she gets the same amount of money each year.

The form of a linear equation is y = mx + b

Where:

The amount that Sarah would earn each year with option 2 would increase at an exponential rate.

The general form of exponential equation is f(x) = [tex]e^{x}[/tex]

Where:

The rate of growth with an exponential function is faster than that of a linear function. It is for this reason that option 2 is the better option.

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