PLEASE HELP

$900 is invested at a rate of 8% compounded annually. Find the amount of the investment in 12 year

Answer:

  1680

Step-by-step explanation:

To find the product of the two numbers, you can work out the values of the numbers, or you can work directly with the sum and difference figures.

__

We note that the square of a sum is ...

  (a +b)² = a² +2ab +b²

and the square of a difference is ...

  (a -b)² = a² -2ab +b²

The difference of these squares is ...

  (a +b)² -(a -b)² = (a² +2ab +b²) -(a² -2ab +b²) = 4ab

__

That is, dividing the difference of the squares of the sum and difference by 4 will give the desired product:

  P = (83² -13²)/4 = (6889 -169)/4 = 6720/4 = 1680

The product of the two numbers is 1680.

_____

Additional comment

If we factor the formula we derived, we find ...

  P = ((a +b)² -(a -b)²)/4 = ((a +b) +(a -b))/2 × ((a +b) -(a -b))/2

This simplifies to ...

  (2a)/2 × (2b)/2 = a × b

In short:

Using this fact, we find a=(83+13)/2 = 48; b=(83-13)/2 = 35, and the product is (48)(35) = 1680, as above.

The latest time Jane and her family can start hiking is 3:19 p.m.

The latest time Jane and her family can start hiking is as follows:

1. First, find the total time needed for hiking and setting up camp: 1 hour and 36 minutes for hiking, plus 57 minutes for setting up camp.

2. Convert the hours and minutes to minutes only: 1 hour = 60 minutes, so 1 hour and 36 minutes = 60 + 36 = 96 minutes.

3. Add the hiking time (96 minutes) to the camp setup time (57 minutes): 96 + 57 = 153 minutes.

4. Convert 153 minutes back to hours and minutes: 153 minutes = 2 hours and 33 minutes.

5. Subtract the total time needed (2 hours and 33 minutes) from the sunset time (5:52 p.m.): 5:52 p.m. - 2 hours and 33 minutes.

6. The latest time Jane and her family can start hiking is 3:19 p.m.

Your answer: The latest time Jane and her family can start hiking is 3:19 p.m.

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Answer:

answer it yourself

Step-by-step explanation:

We need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit which is compounded semi-annually.

To solve this problem, we can use the formula for the future value of an annuity:

\(FV = P * ((1 + r)^n - 1) / r\)

Where:

FV is the future value of the annuity

P is the periodic payment or deposit amount

r is the interest rate per period

n is the number of periods

In this case, the deposit amount is $726.56, the interest rate is 6.45% compounded semi-annually, and the future value is $31,300. We need to find the number of deposits (n).

We can rearrange the formula and solve for n:

n = log((FV * r) / (P * r + FV)) / log(1 + r)

Substituting the given values:

n = log((31,300 * 0.03225) / (726.56 * 0.03225 + 31,300)) / log(1 + 0.03225)

Using a calculator or software, we find that n ≈ 9.989.

Therefore, we need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit.

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The expected total lifetime of three type a stars and one type b star is 20.

The exponential distribution frequently addresses the elapsed time before a particular event. Consider the exponential distribution of the time (starting right now) before an earthquake happens. It is a continuous distribution that is frequently used to calculate time when an event is anticipated to take place.

Given let x and y be independent random variables representing the lifetime (in one billion years) of type a and type b stars, respectively. both variables have exponential distributions, and the mean of is 3 and the mean of is 11.

We have to determine what is the expected total lifetime of three type a stars and one type b star?

X, y are independent

Mean of x = 3 = ux

Mean of y= 11= uy

So sample of x =na=3

Sample of y = nb = 1

E[x] = na x ux

= 3 x 3

=9

E[y] = nb x uy

= 1 x 11

=11

Total life time expected = E[x] + E[y]

= 9 + 11

= 20

Therefore the expected total lifetime of three type a stars and one type b star is 20

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Answer:

D) 8 kilograms

Step-by-step explanation:

If one science book has a mass of 2 kilograms, then 4 science books would have a mass of 2 x 4 = 8 kilograms.

Answer:

972

Step-by-step explanation:

\( {6}^{2} \times {3}^{3} \\ = 36 \times 27 \\ = 972\)

The statistical procedure that should be used to answer this research question is d. A one-sample z-confidence interval for proportions

The use of a one-sample z-confidence interval for proportions to respond to a study question concerning the percentage of Canadian air traffic controllers with a resting heart rate exceeding 100 bpm is accurately described in the statement. A heart rate of 60 beats per minute (bpm) is seen as too slow for an adult at rest, while a heart rate of 100 bpm is regarded as too high, providing some background for the study topic.

The question also states that 47 out of 173 randomly chosen air traffic controllers across Canada had resting heart rates that were over 100 beats per minute.  A one-sample z-confidence interval for proportions may be derived using the sample data to determine the percentage of all Canadian air traffic controllers who have a resting heart rate exceeding 100 bpm. Based on the observed proportion in the sample and the sample size, this interval can offer a range of possible values for the genuine proportion of air traffic controllers having high resting heart rates.

Complete Question:

In general, 60 beats per minute (bpm) is a heart rate that is considered too slow for an adult when at rest and 100 bpm is considered too high. As one way of measuring the stress of Canadian air traffic controllers, heart rates of 173 randomly selected air traffic controllers were measured across Canada. Of this sample of air traffic controllers, 47 had a resting heart rate over 100 bpm. What is the true proportion of air traffic controllers in Canada with resting heart rates over 100 bpm? What statistical procedure should be used to answer this research question?

a. one-sample z-test for proportions

b. one-sample t-confidence interval for means

c. one-sample t-test for means

d. one-sample z-confidence interval for proportions

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Answer:

c = (E/m)^1/2

Step-by-step explanation:

Here, we want to solve for c in the given equation

what we have here is that;

E = m•c^2

Thus;

c^2 = E/m

So we have

c^2(*1/2) = (E/m)^1/2

c = (E/m)^1/2

Answer:

92

Step-by-step explanation:

1) 92-2=90

2) 90/3=30

(I hope this helps!)

From division operation,

a) The right equation for this situation is equals to 10 ÷ 365 = 2/73 pages. So, option (i) is right one.

b)For the fraction 15/10 is written as 15 ÷ 10. So, option(i) is right.

c) Both laundromats charge same amount per minutes. So, option(i) is right .

d) For the fraction 12/13 is written as 12 ÷ 13 . So, option (ii) is right one.

Division is an arithmetic operation. Except this other includes addition, subtraction, and multiplication. It shows the sharing of an amount into equal parts. For example, if “16 divided by 4” means “16 divided into 4 equal parts”, which is equals to 4. The division symbol is '÷', that is 4 ÷ 2 implies 2.

a) So, using all this, 10 ÷ 365 = 2/73 pages is right equation and answer for Jodi'reading problem.

b) The fraction, a: b or a/b represents a divided by b. So, for fraction 15/10 means 15 divided by 10 and written as 15 ÷10.

c) Now, At Happy Harry’s Laundromat, the cost of dryer = $1. 50 for 10 minutes

At Jolly Judy’s Laundromat, the cost of dryer = $2. 25 for 15 minutes. The best Laundromat that has less cost of dryer per minute. So, we check the cost of dryer. In case of Harry’s Laundromat, the cost of dryer for 1 minute = 1.50/10 = $0.15

Similarly, In case of Judy’s Laundromat, the cost of dryer for 1 minute = 2.25/15

= $0.15 per minute

Thus, they charge the same amount.

d) The fraction 12/13 can be written in division form. We can write it as "12 divided by 13" so 12 ÷ 13. Hence, the required value is 12 ÷ 13.

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Complete question:

WILL MARK BRAINLIEST!!

a) To read her book report book, Jodi needs to read 365 pages in 10 days. Choose the correct equation and answer for this situation.

i) 10 ÷ 365 = 2/73 pages

ii) 365 ÷ 10 = 2/73 pages

iii) 365 ÷ 10 = 365/10 = 36 5/10 = 36 1/2 pages

iv) 10 ÷ 365 = 365/10 = 3 5/10 = 3 1/2 pages

b) Choose the correct problem for the fraction 15/10.

i) 15 ÷ 10

ii) 10 ÷ 15

iii) 10 ÷ 10

iv) 15 x 10

c) At Happy Harry’s Laundromat, the dryer costs $1. 50 for 10 minutes. At Jolly Judy’s Laundromat the dryer costs $2. 25 for 15 minutes. Which laundromat offer the better deal?

i) They charge the same amount.

ii) Jolly Judy’s Laundromat

iii) Happy Harry’s Laundromat

d) Choose the correct problem for the fraction 12/13

i) 12 ÷ 10

ii) 12 ÷ 13

iii) 13 ÷ 12

iv) 12 x 13

Answer:

6 or 16

Step-by-step explanation:

math is math

Option B: \(10x^2 + 47.62x - 84.18.\) is correct

What is the quadratic equation?

A quadratic equation is an equation of the form ax^2 + bx + c = 0, where a, b, and c are constants and x is the variable being solved for.

The values of x that satisfy the equation are called solutions of the equation, and roots or zeros of the expression on its left-hand side. A quadratic equation has at most two solutions.

If there is only one solution, one says that it is a double root. If all the coefficients are real numbers, there are either two real solutions, or a single real double root, or two complex solutions that are complex conjugates of each other.

To simplify the expression, we need to use the distributive property of multiplication.

\((5x - 6.9)(2x + 12.2)\\= 5x(2x) + 5x(12.2) - 6.9(2x) - 6.9(12.2)\\= 10x^2 + 61x - 13.38x - 84.18\\= 10x^2 + 47.62x - 84.18\\\)

Hence, (5x - 6.9)(2x + 12.2) simplifies to \(10x^2 + 47.62x - 84.18\).

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This integral is quite complex and does not have an analytical solution is 2pi ∫\(0^2\) \(e^{-r sin(\theta)\)) r (1 - 2\(r^2\)\(cos^{2}(\theta)\) (2\(-r^2\)) dr dtheta

To evaluate the triple integral of e^(x-y) over the region enclosed by the surfaces z=\(x^2-1, z=1-x^2, y=0,\) and y=8, we will use the cylindrical coordinates since the region is symmetric about the z-axis.

In cylindrical coordinates, we have:

x = r cos(theta)

y = r sin(theta)

z = z

The limits of integration for r, theta, and z are as follows:

0 <= r <= 2

0 <= theta <= 2pi

\(x^2\)-1 <= z <= 1-\(x^2\)

Substituting the cylindrical coordinates into the integral, we get:

∫∫∫ e^(x-y) dv = ∫∫∫ \(e^{(r cos(\theta) - r sin(\theta))\)r dz dr dtheta

Now, we need to determine the limits of integration for z in terms of r. Solving for z in the two equations that define the boundaries of the region, we get:

z =\(x^2\)- 1 -> z = \(r^2\)\(cos^2(\theta)\) - 1

z = 1 - \(x^2\) -> z = 1 - \(r^2\) \(cos^2(\theta)\))

Thus, the limits of integration for z become:

\(r^2 cos^2\)(theta) - 1 <= z <= 1 -\(r^2\) \(cos^2(\theta)\)

Substituting these limits into the integral and performing the integrations, we get:

∫∫∫ \(e^{r cos(\theta)\) - r sin(theta)) r (1 - \(r^2\) \(cos^2(\theta)\)) - \(r^2\) \(cos^2(\theta))\) dz dr dtheta

= ∫\(0^8\)∫\(0^2\)pi ∫\(0^2\) \(e^{r cos(\theta)\) - r sin(theta)) r (1 - 2\(r^2\) \(cos^2(\theta))\)dz dr dtheta

= 2pi ∫\(0^2\) \(e^{-r sin(\theta))\)r (1 - 2\(r^2\) \(cos^2(\theta))\) (2-\(r^2\)) dr dtheta

This integral is quite complex and does not have an analytical solution. Therefore, we need to evaluate it numerically using a computer or calculator.

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Answer:

true answer:

An exterior angle is supplementary to the adjacent interior angle.

The population of birds to increase by 50% in 31.25 years.

The differential equation for the population of birds is:

dp/dt = 0.016P

where P is the population of birds and t is time in years.

To obtain the time it takes for the population to increase by 50%, we need to solve for t when P increases by 50%.

Let P0 be the initial population of birds, and P1 be the population after the increase of 50%.

Then we have:

P1 = 1.5P0 (since P increases by 50%)

We can solve for t by integrating the differential equation:

dp/P = 0.016 dt

Integrating both sides, we get:

ln(P) = 0.016t + C

where C is the constant of integration.

To obtain the value of C, we can use the initial condition that the population at t=0 is P0:

ln(P0) = C

Substituting this into the previous equation, we get:

ln(P) = 0.016t + ln(P0)

Taking the exponential of both sides, we get

:P = P0 * e^(0.016t)

Now we can substitute P1 = 1.5P0 and solve for t:

1.5P0 = P0 * e^(0.016t

Dividing both sides by P0, we get:

1.5 = e^(0.016t)

Taking the natural logarithm of both sides, we get:

ln(1.5) = 0.016t

Solving for t, we get:

t = ln(1.5)/0.016

Using a calculator, we get:

t ≈ 31.25 years

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The mass of 6.56 pints of blood is 3.92 grams.

Given

The density of blood = 1.060 g/mL and mass of 6.56 pints

We have 1L = 2.113 pints

The density of a substance can be defined as the ratio of the mass of the substance to the volume of the substance. In chemistry, density is used to measure the concentration of the substance in the solution.

The expression for density = mass/volume

ρ = m/V

m = ρV

Mass = 1.060(1000ml/1L) × 6.56(1L/ 2.113)

= 3290.8 /1000

= 3.29g

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Answer:

Your debt ratio is the total existing balance divided by the total credit limit.

Debt ratio = ($675.49 + $902.43) / ($1,500.00 + $1,000.00) = 1577.92 / 2500.00 = 0.631176 or 63.12%

Payoff time:

To determine the payoff time, you need to first calculate the total interest paid on both cards each month.

Interest on Murk card = $675.49 x 5.6% = $38.06

Interest on Mini card = $902.43 x 9.85% = $89.03

Total interest = $38.06 + $89.03 = $127.09

With a budget of $375 to pay off the credit card debt and paying off the highest interest card first (Mini card), you can calculate the number of months it will take to pay off the debt as follows:

Monthly payment (excluding the last payment) = ($902.43 + $38.06) / (number of months - 1) = $940.49 / (number of months - 1)

Solving for the number of months, you get:

$375 / ($940.49 / (number of months - 1)) = number of months - 1

($375 * (number of months - 1)) / $940.49 = number of months - 1

$375 * (number of months - 1) = $940.49 * (number of months - 1)

$375 = $940.49

number of months - 1 = $375 / $940.49

number of months - 1 = 0.400208

Thus, it will take you approximately 5 months to pay off the debt, including the last payment. The monthly payment (excluding the last payment) will be approximately $375.

Hope this helps!

1/7 of the animals in the zoo are male monkeys.

To find the fraction of animals in the zoo that are male monkeys, we have to calculate the product of the fractions representing the proportion of monkeys and the proportion of male monkeys among them.

Given that 1/5 of the animals in the zoo are monkeys, we will then represent this as:

= 1/5

= 5/25.

And 5/7 of the monkeys are male which is written as 5/7.

To get fraction of male monkeys, we will multiply these two fractions:

= (5/25) * (5/7)

= 25/175

= 1/7.

Full question:

1/5 of the animals in the zoo are monkeys 5/7 of the monkeys are male. What fraction of the animals in the zoo are male monkeys?

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Answer:

360

Step-by-step explanation: 18x20

Answer:

area of parallelogram=base ×height=20×18=360mm²

The probability of selecting a heart and then a star with replacement is approximately 0.1875 or 18.75%.

Assuming that a standard deck of 52 playing cards is used, with 13 cards of each suit (including hearts) and 4 suits in total, the probability of selecting a heart on the first draw and then selecting a star (presumably meaning a card from a different suit) on the second draw with replacement is

P (heart than star)

= P (heart) × P (star)

= 13/52 × 39/52

= 507/2704

= 0.1875

where P (heart) is 13/52 is the probability of selecting a heart on the first draw (since there are 13 hearts in the deck), and P (star) is the probability of selecting a card that is not a heart on the second draw (since there are 39 non-heart cards left in the deck after the heart is replaced).

Therefore, the probability of selecting a heart and then a star with replacement is approximately 0.1875 or 18.75%.

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-- The given question is incomplete, the complete question

"What is the probability of selecting a heart and then a star with replacement?" --

Question 3: True

Question 4: False

Question 5: True

If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c.

This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.

Question 3: If f'(c) < 0 then f(x) is decreasing and the graph of f(x) is concave down when x = c.

True

When the derivative of a function, f'(x), is negative at a point c, it indicates that the function is decreasing at that point. Additionally, if the second derivative, f''(x), exists and is negative at x = c, it implies that the graph of f(x) is concave down at that point.

Question 4: A local extreme point of a polynomial function f(x) can only occur when f'(x) = 0.

False

A local extreme point of a polynomial function can occur when f'(x) = 0, but it is not the only condition. A local extreme point can also occur when f'(x) does not exist (such as at a sharp corner or cusp) or when f'(x) is undefined. Therefore, f'(x) being equal to zero is not the sole requirement for a local extreme point to exist.

Question 5: If f'(x) > 0 when x < c and f'(x) < 0 when x > c, then f(x) has a maximum value when x = c.

True

If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c. This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.

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Answer:

A -13

Step-by-step explanation:

-8+(6+4)÷(-2)

-8+(10)÷(-2)

-8+-5

-13

Answer: A. -13

Step-by-step explanation:

−8+(6+4)÷(−2)Evaluate inside the parentheses first−8+(10)÷(−2)The multiply and divide from left to right−8+-5Then add-13! So 13 btc<3

The function is defined by this set of rules and we got the cost of mailing a letter weighing 2.5 ounces from the United States to Mexico in 2018 using function P is $2.89.

Based on the rules, the function P is defined as follows:

P(w) = 1.15, if 0 < w ≤ 1

P(w) = 1.99, if 1 < w ≤ 2

P(w) = 2.89, if 2 < w ≤ 3

P(w) = 3.30 + 0.45(w-3), if 3 < w

This function gives the cost, in dollars, of mailing a letter from the United States to Mexico in 2018 based on the weight of the letter in ounces, w.

To find the cost of mailing a letter weighing 2.5 ounces using function P, we need to evaluate P(2.5). Based on the rules defined above, we can see that 2 < 2.5 ≤ 3. Therefore, the cost of mailing a letter weighing 2.5 ounces would be:

P(2.5) = 2.89

So, it would cost $2.89 to mail a letter weighing 2.5 ounces from the United States to Mexico in 2018 using function P.

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The equatiom formed will be =g(x)=0.2(x+3)^{2}-5.

According to our question-

It is the graph of  vertically compressed, and then translated 5 units down and 3 units to the left.

The parent function is:

First, it is multiplied by 0.2,which is a number less than 1, meaning it was vertically compressed.

Then, , which means that the function was shifted 3 units to the left.

Then, 5 was subtracted, which means that the function was shifted 5 units down.

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