You saved $20,000.00 and want to diversify your monies. You invest 45% in a Treasury bond for 3 years at 4.35% APR compounded annually. You place 15% in a CD at 3.75% APR for 3 years compounded annually. 20% you invest in a stock plan and the remainder is in a savings account at 2.90% APR compounded annually. The stock plan increases 8% the first year, decreases in value by 4% the second year, and increases by 6% the third year.

The bottom line is a straight line that is equal to 180 degrees.

The three angles above it all need to add together to equal 180.

One angle is given as 20, so the other two need to add together to equal 160 ( 180-20 = 160)

Those two angles form the angle ACE so the answer would be 160 degrees,

Answer 160 degrees.

The area of the figure is 120 square feet

Area of the figure is calculated by viewing the arrow (triangle) part as being congruent.

Such that the space at the left end is equal to the extra part at the right end

In this case we left with rectangle of

length, L = 12 ft

width, w = 10 ft

Area of rectangle = L* w

= 12 * 10

= 120 square feet

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Answer:

put a pic i cant see the model

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Assuming Boden does not add or take out any money, he would have $470.4 in the account after 4​ years.

Mathematically, simple interest can be calculated by using this formula:

S.I = PRT or S.I = A - P

Where:

Substituting the given parameters into the simple interest formula, we have;

S.I = 400 × 4.4/100 × 4

S.I = 400 × 0.044 × 4

S.I = $70.4.

Next, we would calculate the future value as follows;

S.I = A - P

Future value, A = S.I + P

Future value, A = $70.4 + $400

Future value, A = $470.4.

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Solution n(x), where n(x) is the denominator of the function (notice that this only works if t(x) is not zero for the same value of x).When the denominator is equal to zero, you can solve for x to determine the vertical asymptotes.

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Definition of X-intercept: a point where the y-value of the point is equal to 0

  \(5x - y = 10\\5x - 0 = 10\\5x = 10\\x = 2\)

Therefore the x-intercept is (2,0).

Definition of Y-intercept: a point where the x-value of the point is equal to 0

 \(5x - y = 10\\5(0)-y = 10\\-y = 10\\y = -10\)

Therefore the y-intercept is (0,-10).

Hope that helps!

Here's link to the answer:

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The given double integral is ∫ ∫ (x² + y²)dx dy, and we need to evaluate it over the region in the positive quadrant where x+y≤1.

To evaluate this double integral, we can first determine the limits of integration for both x and y based on the given region. In the positive quadrant, x and y both range from 0 to 1.

Now, integrating the inner integral with respect to x, we get:

∫ (x² + y²)dx = (1/3)x³ + y²x + C1,

where C1 is the constant of integration.

Next, we integrate the resulting expression with respect to y:

∫ [(1/3)x³ + y²x + C1] dy = (1/3)x³y + (1/3)y³x + C1y + C2,

where C2 is another constant of integration.

Finally, we evaluate this double integral over the given region by substituting the limits of integration:

∫∫ (x² + y²)dx dy = ∫[0 to 1] ∫[0 to 1-x] (x² + y²)dy dx.

Performing the integration, we can find the numerical value of the double integral within the given region.

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The solutions of the given Quadratic equations are as follows:

1)

The given quadratic equation is (k + 1)(k − 5) = 0

Setting each factor to zero and solving for k, we get:

k + 1 = 0 or k − 5 = 0

k = −1 or k = 5

So, the solutions are k = −1 and k = 5.

2)

(a + 1)(a + 2) = 0

Setting each factor to zero and solving for a, we get:

a + 1 = 0 or a + 2 = 0

a = −1 or a = −2

So, the solutions are a = −1 and a = −2.

3)

(4k + 5)(k + 1) = 0

Setting each factor to zero and solving for k, we get:

4k + 5 = 0 or k + 1 = 0

k = −5/4 or k = −1

So, the solutions are k = −5/4 and k = −1.

4)

(2m + 3)(4m + 3) = 0

Setting each factor to zero and solving for m, we get:

2m + 3 = 0 or 4m + 3 = 0

m = −3/2 or m = −3/4

So, the solutions are m = −3/2 and m = −3/4.

5)

x^2 − 11x + 19 = −5

Moving all terms to the left-hand side, we get:

x^2 − 11x + 24 = 0

Factoring the left-hand side, we get:

(x − 3)(x − 8) = 0

Setting each factor to zero and solving for x, we get:

x − 3 = 0 or x − 8 = 0

x = 3 or x = 8

So, the solutions are x = 3 and x = 8.

6)

n^2 + 7n + 15 = 5

Moving all terms to the left-hand side, we get:

n^2 + 7n + 10 = 0

Factoring the left-hand side, we get:

(n + 5)(n + 2) = 0

Setting each factor to zero and solving for n, we get:

n + 5 = 0 or n + 2 = 0

n = −5 or n = −2

So, the solutions are n = −5 and n = −2.

7)

n^2 − 10n + 22 = −2

Moving all terms to the left-hand side, we get:

n^2 − 10n + 24 = 0

Factoring the left-hand side, we get:

(n − 6)(n − 4) = 0

Setting each factor to zero and solving for n, we get:

n − 6 = 0 or n − 4 = 0

n = 6 or n = 4

So, the solutions are n = 6 and n = 4.

8)

n^2 + 3n − 12 = 6

Moving all terms to the left-hand side, we get:

n^2 + 3n − 18 = 0

Factoring the left-hand side, we get:

(n + 6)(n − 3) = 0

Setting each factor to zero and solving for n, we get:

n + 6 = 0 or n − 3 = 0

n = −6 or n = 3

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Answer:

81°

Step-by-step explanation:

the sum of the interior angles of a triangle is 180°.

The base of the 10 triangles make a straight line.  180/10 = 18°

The small angle along the base is 18°

180-18 = 162

The other two angles of the triangle must add up to 162. Since this is a isosceles triangle.  The other 2 angles have the same measurements.

162/2 = 81.  The measurement of the angle we are looking for is 81°

The estimated proportion raise in salary for an employee using the given fraction is equal to $1,250.

The fraction of $36,000 which is $45,000 is

= $45,000 / $36,000

= 1.25

It represents  $45,000 is 1.25 times more than $36,000.

Estimate the raise is,

Use proportion and calculate percentage increase in salary,

(Proportion of raise) = (Proportion of salary increase)

Let x be the raise for an employee making $45,000

$x / $1,000 = $45,000 / $36,000

Simplify it to get the value of x we have,

⇒x = (1.25) × $1,000

⇒x = $1,250

Therefore, the raise for an employee estimated salary using ratio and proportion is equal to $1,250.

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Answer:

it should be 9 because 12÷6 givss you 2 so 54÷6 gives you 9

The point estimate of the population proportion defective will be 0.0945

The formula for calculating the point estimate is expressed as;

p = x/n,

where p is the proportion of successes in the sample

n is the total sample

Given the following

n = 550 items

x = 52

Substitute

p = 52/550

p = 0.0945

Hence the point estimate of the population proportion defective will be 0.0945

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Answer:

y = 8.7

Step-by-step explanation:

Assuming we can use decimal places, y is equal to 8.7.

In programming, += is often used as a substitute for y = y + x (example)

Therefore, y = y + 3.7, and since y = 5, y = 5 + 3.7, y = 8.7

Answer:

5.428571428571429

Step-by-step explanation: just do 38 divided by 7 on a calculator

The given center and point on the circle of (2, 3), and (5, 3), respectively

gives the equation of the circle as; \(\underline{(x - 2)^2 + (y - 3)^2 = 3^2}\).

The general form of the equation of the circle is presented as follows;

(x - h)² + (y - k)² = r²

Where;

(h, k) = The center of the circle

r = The radius of the circle

Which gives;

(h, k) = (2, 3)

h = 2

k = 3

r = √((5 - 2)² + (3 - 3)²) = 3

The equation of the circle is therefore;

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got it!

the answer is 67

hope that helped

Answer:

Kyle purchasing the platter for $19 and matching bowls for $8 each.

Step-by-step explanation:

Discrete graphs are such that the in-between values don't make sense. You have specific prices that can be achieved, depending on the number of bowls purchased ($19 for 0 bowls, $27 for 1, $35 for two, etc), but you can't pay $31 for 2.5 bowls.

The other situations are all continuous, because the in-between values make sense.

The correct answer is option (A) Kiley bought a platter for $19 and several matching bowls that were $8 each

The steps are as follow:

So the correct answer is option (A) Kiley bought a platter for $19 and several matching bowls that were $8 each

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Answer:

y= -12/5

Decimal form: -2.4

Step-by-step explanation:

Distribute the negative 3 on the left side

-3y-9=2y+3

Add 3y to both sides

-9=5y+3

Subtract 3 from both sides

-12=5y

Divide by 5 on both sides

y=-12/5 or -2.4

Answer: the real answer for this will be p=3/2 and s=5

Step-by-step explanation: here

2p=3

2p/2=3b/2 divide both sides by 2

P=3/2

3/2 for p in s=5

S=5

S=5

Answer P=3/2 and s= 5

Got it

Hey there!

“Evaluate 2ps for p=3 and s=5”

• Side note: If p = 3 then SUBSTITUTE where “p” is at in the equation; if s = 5 then SUBSTITUTE where “s” is at in the equation!

• New equation: 2(3)(5)

2(3)(5)

2(3) = 6

6(5) = 30

Answer: A. 30 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

Step-by-step explanation:

The Equation is m/w=5 And it will be 17 weeks when he has 15 remaining on his card

Answer:

358

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

-52 < -27 < -4.1 < 3

Step-by-step explanation: A negative number is lower than a positive number. The higher a negative number is the lower it is. For example 54 is greater than -54. I hope I helped!  Sorry if I gave incorrect information, I didn't understand your question very much. I'm just a kid too.

The value of n is 24

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

n+(n+1)+(n+2)+(n+3)=102

Remove parentheses

n+n+1+n+2+n+3=102

add n terms

4n+6 = 102

=> 4n = 102-6 = 96

=> n=96/4 = 24

The value of n is 24

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The slope of the line that passes through (5, 8) and (11, 5) in its simplest form is - 1/2

The slope of a line refers to the change in the dependent variable (y) as a result of a change in the independent variable (x).

The slope can be found by the formula:

= Change in y / Change in x

Given the points, (5, 8) and (11, 5):

Change in y = (5 - 8)

Change in x = (11 - 5)

The slope can therefore be found to be:
= (5 - 8 ) / (11 - 5)

= -3 / 6

= - 1/2 in simplest form

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Here f′(x) = -24x + 1. The equation of the tangent line: y = -23x + 29. To find f′(x), we need to take the derivative of the function f(x)=(1+5x)(5−4x). This can be done using the product rule and the chain rule.

Now, let's break down the process into steps:

Step 1: Understand the problem

We have the function f(x)=(1+5x)(5−4x) and we want to find its derivative f′(x). We also need to find the equation of the tangent line to the graph of f at x=1.

Step 2: Apply the product rule

To find f′(x), we use the product rule, which states that if we have two functions u(x) and v(x), then the derivative of their product is given by:

(fg)′(x) = f′(x)g(x) + f(x)g′(x)

Step 3: Differentiate the function

Using the product rule, we differentiate each term in f(x)=(1+5x)(5−4x):

f′(x) = (1)(5−4x) + (1+5x)(−4)

Simplifying the expression gives:

f′(x) = 5−4x−4−20x

f′(x) = -24x + 1

Step 4: Find the equation of the tangent line at x=1

To find the equation of the tangent line at x=1, we need the slope of the tangent line and a point on the line. The slope of the tangent line is given by f′(1), and a point on the line can be found by evaluating f(1).

Step 5: Evaluate f′(x) and f(x) at x=1

Substituting x=1 into f′(x), we have:

f′(1) = -24(1) + 1

f′(1) = -23

To find the point on the line, evaluate f(1):

f(1) = (1+5(1))(5−4(1))

f(1) = 6

Step 6: Write the equation of the tangent line

Using the point-slope form of a line, we have:

y − y1 = m(x − x1)

where m is the slope and (x1, y1) is a point on the line.

Substituting the values, we get:

y − 6 = -23(x − 1)

Simplifying the equation gives the equation of the tangent line:

y = -23x + 29

By following these steps, we can find f′(x) and the equation of the tangent line to the graph of f at x=1.

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India has one of the youngest populations in the world, and this demographic dividend has the potential to drive the country's economic growth in the coming years.

The BRICS (Brazil, Russia, India, China, and South Africa) are a group of five major emerging economies that are expected to play a significant role in the world economy in the coming years. Among these countries, India is known to have one of the youngest populations in the world, with an average age of 28.1 years.

India has a population of approximately 1.3 billion people, and it is projected to become the world's most populous country by 2027. The country has a large youth population, with about 50% of its population below the age of 25 and around 65% below the age of 35. This young population has the potential to be a significant asset for the country's economic growth, provided that adequate employment opportunities are created.

The youth in India are increasingly educated and tech-savvy, and they are playing a vital role in the country's growth story. India has a growing middle class, and this group of young, educated, and skilled individuals is driving the country's consumption story. The government of India has also launched several initiatives to harness the potential of the youth, such as Skill India, Make in India, and Digital India, to name a few.

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