How much interest will be earned on a $6,000 investment at 2.25% for 5 years. Round to the
nearest cent when necessary.

The problem requires us to determine the readings of the thermometer after one more minute and the time it would take for the thermometer to read 7°C.The reading on the thermometer after one more minute is given by the formula: T = Te + (Ta - Te)(1 - e-k(t-t0))

Where T is the temperature of the thermometer after t minutes Ta is the ambient temperature of the thermometer Te is the initial temperature of the thermometer, and k is the constant of proportionality Given that Ta = 6°C, Te = 20°C, and T = 13°C for t = 1 minute. We can determine k as follows:

T - Te = (Ta - Te)(1 - e-k(t-t0))

13 - 20 = (6 - 20)(1 - e-k(1-0))

-7 = -14e-k

We can then solve for k by dividing both sides by -14, thus:

k = ln(1/2) = -0.693

We can now determine the temperature of the thermometer after one more minute, thus:

T = Te + (Ta - Te)(1 - e-k(t-t0))

T = 20 + (6 - 20)(1 - e-(-0.693)(2-1))

= 16.7°C

The reading on the thermometer after one more minute is 16.7°C. To determine when the thermometer will read 7°C, we set T = 7°C in the formula:

T = Te + (Ta - Te)(1 - e-k(t-t0))7

= 20 + (6 - 20)(1 - e-(-0.693)(t-1))

Simplifying the equation gives:

e-(-0.693)(t-1) = 0.5ln(0.5)(t-1)

= -0.693t

= -0.693 / ln(0.5) + 1t

≈ 4.8 minutes

The thermometer will read 7°C after about 4.8 minutes.

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Answer:

I

Step-by-step explanation:

The area under the standard normal curve is 0.4374

From the question, we have the following parameters that can be used in our computation:

Distribution = standard normal curve

The area = between z = -2 and z = -0.1

First, we calculate the z-scores at z = -2 and z = -0.1

Using a z-table (see attachment), we have

z(-2) = 0.02275

z(-0.1) = 0.46017

The area is then calculated as

Area = 0.46017 - 0.02275

Evaluate the difference

Area = 0.4374

Hence, the area is 0.4374

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A structural break occurs when we see A. an unexpected shift in time-series data.

It is the change in a time series's data-generating mechanism, it is a phenomenon that occurs when a significant event or structural shift in the economy alters the underlying data-generating mechanism. A structural break can happen for several reasons, including natural catastrophes, changes in economic policy, new inventions, and other reasons that alter the way the data is generated.

In the presence of a structural break, we can't assume that the relationships between variables before and after the break are the same. The primary objective of identifying structural breaks in the time-series is to detect changes in the behavior of the series over time, such as changes in the variance of the series, changes in the mean of the series, and changes in the covariance of the series. So therefore the correct answer is A. an unexpected shift in time-series data, the structural break occurs.

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When Kayla rode her bike home from college one weekend, her biking speed is 15 miles per hour

Speed is defined as the ratio between the distance and the amount of time an object traveled.

speed = distance/time

If the average speed of the bus was 10 miles per hour faster than Kayla’s biking speed, we have:

average speed of the bus = 10 mph + biking speed

let x = biking speed

y = average speed of the bus

y = 10 + x

Covering the same distance of 75 miles, calculate the time it took her riding the bus and the bike.

time = distance/speed

time riding the bus = 75 miles/(10 + x)

time riding the bike = 75 miles/x

If it took her 2 hours less to ride back to college on the bus than it took her to ride home on her bike

time riding the bus = time riding the bike - 2

75 miles/(10 + x) = (75 miles/x) - 2

75/(10 + x) = (75 - 2x)/x

Multiplying both sides by x(10 + x),

x(10 + x)[75/(10 + x)] = x(10 + x)[(75 - 2x)/x]

75x = 750 - 20x + 75x - 2x^2

2x^2 + 20x - 750 = 0

x^2 + 10x - 375 = 0

(x - 15)(x + 25) = 0

x = 15   ;   x = -25

Since we cannot have negative amount of time, choose x = 15.

Hence, Kayla's biking speed is 15 miles per hour.

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Answer:

no because the decimal doesn't have a % sign its 147.5

\( \large \text{Answer} \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \)

\(x - 7 = 4 \\ x - 7 + 7 = 4 + 7 \\ x = 4 + 7 \\ x = 11\)

Since your answer is ' 11 '

♡ hope it was helpful for you ♡~

Answer:

Thank you for points

Step-by-step explanation:

Thank you

Answer:

67%

Step-by-step explanation:

Let the percentage of the first solution = x

7 gallons + 4 gallons = 11 gallons

Our system of equation is

Seven gallons of a sugar solution was mixed with 4 gallons of a 80 percent sugar solution to make an 72 percent sugar solution.

7 gallons × x % + 4 gallons × 80% = 72% × 11 gallons

= 7x + 3.2 = 7.92

Collect like terms

7x = 7.92 - 3.2

7x = 4.72

x = 4.72/7

x = 0.6742857143

Converting to percentage

0.6742857143 × 100

= 67.42857143%

Approximately, the percent concentration of the first solution is 67%

1.) ANSL1= 1

2.) ANSL2= 1

3.) ANSa = -1, ANSb = -2

For the first question, ANSL1= 1, indicating that the vectors v1, v2, and v3 are linearly independent in R4.

For the second question, ANSL2= 1, which means that the vectors v1, v2, and v3 are also linearly independent in R4.

Since ANSL2= 1, the vectors v1, v2, and v3 are linearly independent. Therefore, it is not possible to express v1 as a linear combination of the other vectors.

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it will take approximately 7.7 years for property values to double with a 9 percent annual increase.

To determine how long it will take for property values to double with an annual increase of 9 percent, we can use the concept of the compound interest formula. In this case, the property values are growing exponentially over time.

The formula to calculate the doubling time is:

t = (log(2) / log(1 + r))

Where:

t = time (in years)

r = annual growth rate as a decimal (9 percent = 0.09)

Plugging in the values into the formula, we can find the time it takes for property values to double:

t = (log(2) / log(1 + 0.09))

Calculating this, we find:

t ≈ 7.69 years

Therefore, it will take approximately 7.7 years for property values to double with a 9 percent annual increase.

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Answer:

180

Step-by-step explanation:

5×+36 is 180

hope this helps !!?

Answer:

x = 7.2

Step-by-step explanation:

First we write down the equation

5x + 36

In order to find what x equals we will need to isolate the variable. To do this we divide the variable by 5.

This gets us...

x = 7.2

Sorry if you didn't need to find what x equaled.

Answer:

You know 9+3=12 , So Even it out 6 on 1 pan and 6 on the other it will balance.

The number of ways is 1 billion.

We are asked to determine the possible number of ways of the social security number that is 9 digits if the numbers can be repeated.

In this case, using fundamental counting, there are 10 possible numbers in each digit that is from zero to nine.

Thus, the number of ways is 10*10*10*10*10*10*10*10*10 equal to 1 billion ways.

Hence the number of ways is 1 billion.

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Answer:

\(\frac{1}{3}\)

Step-by-step explanation:

True, The range of a linear transformation defined by the matrix transformation t(x) = Ax is equal to the column space of matrix A.


The range of a linear transformation defined by the matrix transformation t(x) = ax is equal to the column space of matrix A (col A).

The range of a linear transformation is the set of all possible output values. In this case, the matrix A represents the transformation, and the column space of matrix A represents the span of the columns of A. The column space of matrix A is the set of all possible linear combinations of the columns of A.

To prove that the range of the linear transformation t(x) = Ax is equal to the column space of matrix A, we can show that every vector in the column space of A can be obtained as an output of the transformation t(x) = Ax. Additionally, we can show that every output of the transformation t(x) = Ax belongs to the column space of A.


Therefore, it is true that the range of a linear transformation defined by the matrix transformation t(x) = Ax is equal to the column space of matrix A.

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Answer:

2

Step-by-step explanation:

Subtract -7--5=-2, there can not be a length on a rectangle of -2 so it would just be 2.

Answer:

2

Step-by-step explanation:

c because it is accuet.

hope it helps

Option C . The reflexive property of congruence is the correct reason that can justify statement 3 . BD≅BD

The reflexive property of congruence states that every side, every angle, every line segment and every shape is congruent to itself.

To prove that ΔABD is congruent to ΔCBD where given that

1.Line segment AB ≅ Line segment CB  (Given)

2. Then we can write AD ≅CD ; Given : D is the mid point of AC

3. line segment BD ≅ Line segment BD , this is true by reflexive property of congruence which states that every line segment or side is congruent to itself.

BD can be considered as side of both the given triangles

Therefore, the reason that can justify statement 3 is option C.

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The coordinates of the place that Jennifer and Jane should meet is (\(\frac{24}{2} \frac{16}{2}\)). Check more about coordinates  below?

Based on the fact that:

Jennifer’s house lies at (9, 7),

Jane’s house lies at (15, 9) ,

Therefore, the equation will be:

(9, 7) = (x₁, y₁)

(15, 9) = (x₂, y₂)

P= (\(\frac{x₁ + x₂ }{2} \frac{y₁ + y₂}{2}\))

P= \(\frac{9+ 15 }{2} \frac{7 + 9}{2}\)

Therefore, P= 24/2,  16/2.

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To find the sum of 305 and 84, proceed as follows:

The answer is 389.

Answer:

The measure of an angle is a numerical value. <A just refers to the angle itself.

Step-by-step explanation:

The Equation of circle is (x-2)² +(y+ 8)² = 7²

The standard form of a circle with center (h, k) and radius r is given by the equation:

(x-h)²  + (y-k)² = r²

In this equation, (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle.

In this case, the center of the circle is (2, -8) and the radius is 7.

Plugging these values into the equation, we have:

(x- 2)² + (y- (-8))² = 7²

Simplifying further:

(x-2)² +(y+ 8)² = 7²

So, the equation in standard form for the circle with center (2, -8) and radius 7 is:

(x-2)² +(y+ 8)² = 7²

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Answer:

$8.33

Step-by-step explanation:

$14.69                                                                  50.00

+ $20.99                                                            -  41.67

=35.68                                                                =   $8.33

+5.99

=$41.67

Answer: D. The membership increases by 50 members in each of the six warmest months and decreases by 50 members in each of the other six months.

Step-by-step explanation: Because it is a linear function it needs to fluctuate so by using process of elimination D is the only answer that would look like a linear function by having that curved line we are looking for in a function.

The value of m² - 1 + 1/m² is 5, given that m + 1/m = 3.

In mathematics, a quadratic equation is one with degree 2, which means that its maximum exponent is 2. A quadratic has the standard form y = ax2 + bx + c, where a, b, and c are all numbers and a cannot be zero. All of these are examples of quadratic equations: y = x2 + 3x + 1.

The equation m + 1/m = 3 must first be changed in order to solve for m2 - 1 + 1/m2.

When we multiply both sides by m, we obtain:

m² + 1 = 3m

Rearranging gives us:

m² - 3m + 1 = 0

We can find m using the quadratic formula:

m = (3 ± sqrt(5))/2

When we enter these values into m2 - 1 + 1/m2, we obtain:

((3 + sqrt(5))/2) = m2 - 1 + 1/m2² - 1 + (2/(3 + sqrt(5)))²

If we condense this phrase, we get:

m² - 1 + 1/m² = 5

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Answer:y=15/4

Step-by-step explanation:

start with general form y = kx. substitute in the pair of values you know for x and y.

75/8 = k(5) multiply both sides by 1/5 to solve for k, getting

15/8 = k

So your equation is y = (15/8)x substitute 2 for x to find your new y.

y = (15/8)2

y = 15/4

Answer:

The correct answer is 10 units.

To solve this problem, you can use the tangent function, which relates the ratio of the opposite side and the adjacent side of a right triangle.

In this case, the opposite side is 9 units, and the tangent of angle A is 0.45.

Thus, the adjacent side (AB) is equal to 9/0.45, which is equal to 10 units.

Step-by-step explanation:

Identify the given values of the right triangle: the opposite side is 9 units and the tangent of angle A is 0.45.

Use the tangent function to calculate the adjacent side length: adjacent side = opposite side ÷ tangent(angle A)

Substitute the given values into the equation: adjacent side = 9 ÷ 0.45

Solve for the adjacent side length: adjacent side = 10 units Therefore, the approximate length of AB is 10 units.

Answer:

22

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x-8 ≤ 14

1. Add 8 to both sides of the inequality sign to move the 8 from the left side to the right side.

2x ≤ 22

2. Divide both sides by 2 to get the x alone.

x ≤ 11

3. Make a number line from 8 to 13 (numbers can be changed), draw a circle above the number 11 and fill in the circle.

4. Now, make a line going from the circle to the left and draw an arrow at the end.

Answer:

4/5

Step-by-step explanation:

the numerator of fraction is 1 less than its denominator. If the numerator is increased by 4 and the denominator is increased by 5, the new fraction becomes equivalent to 4/5. what is the original fraction?

Let n = numerator

d = denominator

n = d - 1

\(\frac{d - 1}{d}\)

\(\frac{d - 1 + 4}{d + 5}\) = \(\frac{4}{5}\)

\(\frac{d + 3}{d+ 5}\) = \(\frac{4}{5}\)

cross multiply

5(d + 3) = 4(d + 5)

5d + 15 = 4d + 20

d = 5

n = d - 1

5 - 1 = 4

original fraction 4/5