Last year, 140 people in a community had cell phones. This year, the numberof people in the community with cell phones has increased by 65%.

Given:

Principal Amount, P = $4,400

Interest rate, r = 90%

Here, Camilla needs to create an exponential equation that allows her tract the interest earned over time.

This is a Compound interest problem.

To find create an exponential equation, apply the formula below:

WHere:

P is the principal amount = $4,400

r is the rate = 90% = 0.90

t is the time (number of years)

Input values into the equation above:

Therefore, the exponential equation that allows her to track the interest earned over time is:

Plugging the value for the number of years for t, you will get the interest earned over time, t.

ANSWRER:

Answer:

49th term = 225

Step-by-step explanation:

The following sequence: -15, -10, -5, 0, -5... is an example of an arithmetic progression.

An arithmetic progression or AP for short, is a sequence in which the difference between successive terms is constant. This difference is known as the common difference, and can be found by subtracting a term by its preceding term.

The general formula, for the nth term of an arithmetic progression, is thus:

Tn = a + (n - 1)d, where a = first term, and d = common difference.

In the sequence: -15, -10, -5, 0, 5...,

a = -15, and d = -10--15 = 5

T49 = -15 + (49 - 1)5 = 225

∴ 49th term = 225

Answer:

x=4

Step-by-step explanation:

Add 99 to both sides.

-4(x+5)=-45+9−4(x+5)=−45+9

Simplify  -45+9−45+9  to  -36−36.

-4(x+5)=-36−4(x+5)=−36

Divide both sides by -4−4.

x+5=\frac{-36}{-4}x+5=

​−4

​​−36

​​  

Two negatives make a positive.

x+5=\frac{36}{4}x+5=

​4

​

​36

​​  

Simplify  \frac{36}{4}

​4

​

​36

​​   to  99.

x+5=9x+5=9

Subtract 55 from both sides.

x=9-5x=9−5

Simplify  9-59−5  to  44.

x=4

♡ The Question ♡

- How do you solve -4(x + 5) - 9 = -45?

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♡ The Answer ♡

-The Explanation/Step-By-Step!

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♡ The Explanation/Step-By-Step ♡

-  -4 (x + 5) - 9 = -45

Add 9 to both sides! This makes:

-4 (x + 5) - 9 + 9 = -45 + 9

Simplify!

-4(x + 5) = -36

Divide both sides by -4! This makes:

-4(x + 5) over -4 = -36/-4

Simplify!

x + 5 = 9

Subtract 5 from both sides! This makes:

x + 5 - 5 = 9 - 5

Simplify

x = 4

If x = 4..

-4 (4 + 5) - 9 = -45

-4(4 + 5) - 9

4(4 + 5) = 36

= -36 -9

Subtract the numbers: -36 -9 = -45!

= -45

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♡ Tips ♡

-No tips provided!

Answer: \(305\)

Shown work is on the image below.

Answer:

I'm lost I messed up how do I delete my answer...

Answer:

3.16

Step-by-step explanation:

The amount of money Kadeesha have in her account after 11 years is $1059.3.

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

The formula used to find the compound interest = \(A=P(1+\frac{r}{100})^{nt}\)

Given that, principal=$900, rate of interest=1.5% and time period =11 years.

Now, amount =900(1+1.5/100)¹¹

= 900(1+0.015)¹¹

= 900(1.015)¹¹

= 900×1.177

= $1059.3

Therefore, the amount of money Kadeesha have in her account after 11 years is $1059.3.

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Answer:

177 ft below sea level

Step-by-step explanation:

282

10 x 12 = 120. This represents how man ft the hot air balloon rose.

282 - 120 = 162. Keep in mind your still below sea level.

162 + 15 = 177

You add 15 because the hot air balloon is going down 15 feet which adds to being below sea level. ( Your going deeper/lower)

The option C is correct answer which is there is a 5% chance that the true likelihood of an unsatisfied customer will be less than 0.077 or greater than 0.138.

What is unsatisfied customer?

Consumer customers are "an expression of dissatisfaction on a consumer's behalf to a responsible party," according to the dictionary. It can also be positively stated as a complaint from a customer who provides proof of a fault with a good or service.

As given,

95% confidence interval gives you 95% confident that unsatisfied customer is in between 0.077 to 0.138.

that means 5% chance that unsatisfied customer is not between intervals.

So, we can say 5% chance that true likelihood of an unsatisfied customer will. be less than 0.077 or greater than 0.138.

Hence, the option C is correct answer.

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the radius of the circle is 30 cm when the circumference is 188.4 . The length of the boundary is its circumference.

A boy has traveled a certain distance if, after sprinting around the park once, he arrives at point "A" from point "A" in the first place. The park's circumference, which has the shape of a circle, is the length or border that it encompasses. The length of the boundary is its circumference.

calculation

Circumference=2πr

188.4=2×3.14×r

188.4=6.28×r

r= 188.4/6.28

radius=30cm

the radius of circle is 30 cm when the circumference is 188.4 .

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The expression that does not factor on the mentioned is m² + 1.

Because other expression can be factored, while m² + 1 has no factor form. For make it clear we can calculate to find the form expression and find the calculate power or result.

m³ + 1 =

m³ - 1 =

m² - 1 =

        and then it could be, m² - 1 = (m + 1)(m - 1).

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Answer:

101 degrees

Step-by-step explanation:

the sum of all angles in a triangle is always 180 degrees.

the other not-shaded angle in the lower triangle is also 42 degrees.

the shaded angle is therefore

180 - 37 - 42 = 101 degrees

The optimal values of these parameters are:

a. β₁ = 0

b. β₂ = 0

The linear regression y = β1 + β2x + e, assuming that the sum of squared errors (SSE) takes the following form:

SSE = 382 + 681 + 382 + 18β1β2

Derive the partial derivatives of SSE with respect to β1 and β2 and solve the optimal values of these parameters.

Given that SSE = 382 + 681 + 382 + 18β1β2 ∂SSE/∂β1 = 0 ∂SSE/∂β2 = 0

Now, we need to find the partial derivative of SSE with respect to β1.

∂SSE/∂β1 = 0 + 0 + 0 + 18β2 ⇒ 18β2 = 0 ⇒ β2 = 0

Therefore, we obtain the optimal value of β2 as 0.

Now, we need to find the partial derivative of SSE with respect to β2. ∂SSE/∂β2 = 0 + 0 + 0 + 18β1 ⇒ 18β1 = 0 ⇒ β1 = 0

Therefore, we obtain the optimal value of β1 as 0. Hence, the partial derivative of SSE with respect to β1 is 18β2 and the partial derivative of SSE with respect to β2 is 18β1.

Thus, the optimal values of β1 and β2 are 0 and 0, respectively.

Therefore, the answers are: a. β₁ = 0 b. β₂ = 0

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There are \(\frac{60!}{57!}\) ways we can do it.

Since organization has 60 members from which we haveto pick one person at random to be the president, another person to be the vice president and a third person to be the transformer,

the president can be select in 60c1 = \(\frac{60!}{1! 59!}\)

                                                           = \(\frac{60 *59!}{1*59!}\)

                                                           = 60 ways

After this for vice president we have 59 members from which vice president can be select in 59c1 = 59 ways.

and for treasure we have 58 members from which treasure can be select in 58c1 = 58 ways.

∴ No. of ways in which we can select president, vice president and treasure = 60 × 59 × 58

              =  \(\frac{60 * 59 * 58 * 57!}{57!}\)

              =  \(\frac{60!}{57!}\)

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The portion of the ECG that corresponds to repolarization of the atria is not usually visible on a standard ECG. In some cases, abnormalities in the repolarization of the atria may be visible on an ECG as changes in the shape or duration of the T wave.

The standard ECG only records electrical activity that is strong enough to cause depolarization of the ventricles, which creates the QRS complex. The repolarization of the atria occurs during the T wave, which represents ventricular repolarization. Therefore, the repolarization of the atria is usually hidden within the T wave and cannot be specifically identified on a standard ECG.

The electrical activity of the heart is recorded on an ECG as a series of waves and intervals that correspond to specific events in the cardiac cycle. The P wave represents the depolarization of the atria, which causes them to contract and pump blood into the ventricles. The QRS complex represents the depolarization of the ventricles, which causes them to contract and pump blood out of the heart. The T wave represents the repolarization of the ventricles, which allows them to relax and refill with blood. During the cardiac cycle, the repolarization of the atria occurs after their depolarization and contraction. This repolarization wave is very small and weak compared to the depolarization wave, and it is not usually visible on a standard ECG. Instead, the repolarization of the atria is hidden within the T wave, which represents the larger and more prominent repolarization wave of the ventricles.

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Answer:

5 people JUST jog

Step-by-Step Explanation:

150 PEOPLE

150-85=65 (85=swim)

65-60(swim/jog) =5 (jog)

THAT MEANS 5 PEOPLE JUST JOG

OR 65 PEOPLE JOG OVERALL

The number of people who jogs are 90.

We can solve this problem using the Rule of Inclusion/Exclusion.

The Rule of Inclusion/Exclusion states that if you want to find the number of elements in both sets, subtract the number of elements in the intersection from the sum of the number of elements in each set.

Therefore, in this problem, the number of people who jog is equal to the total number of people who either swim or jog, 150, minus the number of people who both swim and jog, 60, which is equal to 90 people.

Therefore, 90 people jog.

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Answer:

you would look at the chart and the answer so this would be answered B

According to the sigma factor, the gene encoding sigma-32 states that Genes usually unregulated by heat shock will be less responsive to heat treatment.

Sigma factor:

Sigma factor defines that a detachable polypeptide subunit of RNA polymerase that facilitates the initiation of transcription by recognizing specific DNA promoter sites.

Given,

Sigma-32 is a sigma factor, which mediates response to heat shock. What is the most likely effect in an e. Coli strain.

Here we need to determine in which has a mutation in the gene encoding sigma-32.

While we looking into the given question, Sigma-32 is a sigma factor, which mediates response to heat shock.

Basically, the genes  usually unregulated by heat shock will be less responsive to heat treatment.

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Answer:

277 feet

Step-by-step explanation:

From the information given;

The slope of the glide is said to make an angle of 3° to the ground surface;

i.e.

θ = 3°

Also, there is a plane on this glide slope whose distance is 1 mile(5280 feet) away from the touchdown.

Suppose the above expression forms and angle DEF;

where;

the distance of the plane on the glide slope to the touchdown is DF

and the height in terms of altitude is EF;

Then;

Using the tangent of the trigonometric function;

\(tan \theta = \dfrac{EF}{DF}\)

\(tan \ 3 = \dfrac{EF}{5280}\)

EF = 5280 × tan (3°)

EF = 5280 × 0.05240777928

EF = 276.713 feet

EF ≅ 277 feet

2(x - 10) = y is our inverse relation, written in the form of y = mx + b. So the equation for the inverse of y = (1/2)x + 10 is: y = 2x - 20

To find the equation for the inverse of the relation y = (1/2)x + 10, we need to switch the roles of x and y, and solve for y.

Let's start by writing the relation in the form of y = mx + b, where m is the slope and b is the y-intercept:

y = (1/2)x + 10

Now, let's switch x and y:

x = (1/2)y + 10

To solve for y, we'll isolate it on one side of the equation. First, let's subtract 10 from both sides:

x - 10 = (1/2)y

Next, let's multiply both sides by 2 to get rid of the fraction:

2(x - 10) = y

This is our inverse relation, written in the form of y = mx + b. So the equation for the inverse of y = (1/2)x + 10 is:

y = 2x - 20

To find the inverse equation of the given relation. The relation is y = (1/2)x + 10.

To find the inverse, we'll follow these steps:
1. Swap x and y variables: x = (1/2)y + 10
2. Solve for y:

First, subtract 10 from both sides:
x - 10 = (1/2)y

Next, multiply both sides by 2 to isolate y:
2(x - 10) = y

So, the inverse relation is y = 2(x - 10) or y = 2x - 20.

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The series converges on the interval from 7 inclusive to 9 exclusive.

To find the radius of convergence, we use the ratio test:

So the series converges absolutely if |x - 8| < 1, and diverges if |x - 8| > 1. Therefore, the radius of convergence is R = 1.

To find the interval of convergence, we need to test the endpoints x = 7 and x = 9:

When x = 7, the series becomes:

[infinity] (-1)ⁿ (n+9) / (n+1)

n = 0

which is an alternating series that satisfies the conditions of the alternating series test. Therefore, it converges.

When x = 9, the series becomes:

[infinity] 1 / (n+1)

n = 0

which is a p-series with p = 1, which diverges.

Therefore, the interval of convergence is [7, 9).

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Answer: 40 . 2 and 40 + 40

Step-by-step explanation:

The expression which shows the saving is 40 + 40 and 40 x 2. The correct options are C and D.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the amount of money saved by Erica is $40. The expression which represents the savings will be,

40 + 40 = 80

40 x 2 = 80

Therefore, the expression which shows the saving is 40 + 40 and 40 x 2. The correct options are C and D.

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(a) The z-score corresponding to x = 25 is -1. (b)The z-score corresponding to x = 42 is 2.4.(c) The raw score corresponding to z = -3 is 15. (d)  The raw score corresponding to z = 1.5 is 37.5.

For a normal distribution with mean μ = 30 and standard deviation σ = 5:

(a) To find the z-score corresponding to x = 25, we use the formula:

z = (x - μ) / σ

Substituting the values, we get:

z = (25 - 30) / 5 = -1

Therefore, the z-score corresponding to x = 25 is -1.

(b) To find the z-score corresponding to x = 42, we again use the formula:

z = (x - μ) / σ

Substituting the values, we get:

z = (42 - 30) / 5 = 2.4

Therefore, the z-score corresponding to x = 42 is 2.4.

(c) To find the raw score (x) corresponding to z = -3, we use the formula:

z = (x - μ) / σ

Rearranging the formula, we get:

x = μ + zσ

Substituting the values, we get:

x = 30 + (-3) x 5 = 15

Therefore, the raw score corresponding to z = -3 is 15.

(d) To find the raw score (x) corresponding to z = 1.5, we use the same formula:

x = μ + zσ

Substituting the values, we get:

x = 30 + 1.5 x 5 = 37.5

Therefore, the raw score corresponding to z = 1.5 is 37.5.

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Answer:

the answer is rotation

hope this helps

The maximum number of consecutive odd positive integers that can be added together before the sum exceeds 401 is 11.

Let's assume the first odd integer is x. Then, the sum of the next n consecutive odd integers would be given by:

x + (x+2) + (x+4) + ... + (x+2n-2) = nx + 2(1+2+...+n-1) = nx + n(n-1)

We want to find the largest n such that the sum is less than or equal to 401:

nx + n(n-1) ≤ 401

Since the integers are positive and odd, we can start with x=1 and then try increasing values of n until we find the largest value that satisfies the inequality:

n + n(n-1) ≤ 401

n² - n - 401 ≤ 0

Using the quadratic formula, we find that the solutions are:

n = (1 ± √(1+1604))/2

n ≈ -31.77 or n ≈ 32.77

We discard the negative solution and round down to the nearest integer, giving us n = 11. Therefore, the maximum number of consecutive odd positive integers that can be added together before the sum exceeds 401 is 11.

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Complete Question:

what is the maximum number of consecutive odd positive integers that can be added together before the sum exceeds 401?

Answer:

Step-by-step explanation:

x^-n = 1/x^n

The negative exponent means means raise the reciprocal to the nth power