Teyvin made an initial investment of $17,550 in a mutual fund. He invests an additional $525 each month in the mutual fund.

What are the possible totals of his investment in the mutual fund?

Select all that apply.

$30,675
$20,075
$32,800
$21,225
$19,650

Answer:

RST is obtuse ABC is a right angle XYZ is an acute angle

Step-by-step explanation:

Answer:

rst is obtuse ABC is a right angle xyz an acute angle

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Answer:

m=-3

c=1

Step-by-step explanation:

y=mx+c

m is -3 which is the coefficient of x and c is the intercept 1

Answer:

140 and 70

Step-by-step explanation:

the range is the difference between the largest and smallest values.

the largest value at the right end of the line is 190

the smallest value at the left end of the line is 50

then

range = 190 - 50 = 140

the interquartile range is the length of the box , so

interquartile range = 150 - 80 = 70

Answer:

55

Step-by-step explanation:

bedcause if you add 50 and 5 then it makes yes

The number of papers checked by both becomes equal in 10 hours.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Teacher Malone is reviewing papers in the educators' parlor. She has previously gotten done with reviewing 20 tasks and is evaluating 5 additional tasks each hour. Her showing colleague just came in to help her. He can grade at a pace of 7 tasks consistently.

Let 'x' be the number of hours and 'y' be the number of assignments. Then the equations are given as,

y = 5x + 20        ...1

y = 7x                ...2

At some point, they will be finished and will have graded the same number of papers. Then from equations 1 and 2, we have

7x = 5x + 20

7x - 5x = 20

2x = 20

x = 20 / 2

x = 10

The number of papers checked by both becomes equal in 10 hours.

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Answer:

3 1/2 ÷ 1 1/4

7/2 ÷ 5/4

7/2 · 4/5

28/10

2.8

Step-by-step explanation:

Answer:

Step-by-step explanation:

2,4

Answer:

no idea lol

Step-by-step explanation:

i just need points

Answer: square root A = n

Step-by-step explanation:

n2 = a

square root from both sides gives you n and root a

For a continuous random variable x, the probability of x taking on a specific value a is zero. This is due to the infinite number of possible values that x can take on within its range.

In the case of a continuous random variable, the probability density function (PDF) describes the likelihood of x taking on different values. Unlike discrete random variables, which can only take on specific values with non-zero probabilities, a continuous random variable can take on an infinite number of values within a given range. Therefore, the probability of x being equal to any specific value, such as a, is infinitesimally small, or mathematically speaking, it is equal to zero.

To understand this concept, consider a simple example of a continuous random variable like the height of individuals in a population. The height can take on any value within a certain range, such as between 150 cm and 200 cm. The probability of an individual having exactly a height of, say, 175 cm is extremely low, as there are infinitely many possible heights between 150 cm and 200 cm.

Instead, the probability is associated with ranges or intervals of values. For example, the probability of an individual's height being between 170 cm and 180 cm might be nonzero and can be calculated using integration over that interval. However, the probability of having an exact height of 175 cm, as a single point on the continuous scale, is zero.

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Answer:

ans: x= 1/2

Step-by-step explanation:

Answer:

its 250 + 530 = 349893

Step-by-step explanation:

Note tha the function that is graphed is f(x) = 1/(x+3) + 2. See same attached.

The function f(x) = 1/(x+3) + 2 is a rational function with a vertical asymptote at x = -3. The graph of the function is a hyperbola that is shifted 2 units up from the standard hyperbola.

As x approaches positive or negative infinity, the function approaches the horizontal line y = 2.

Thus, it is correct to state that it is the function that is graphed.

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Answer:

x^2-x-6=0

Step-by-step explanation:

Equation : [x - (-2)][x - 3] = 0

(x + 2)(x - 3) = 0

x^2 -3x + 2x - 6 = 0

The general form of a quadratic equation is given as:

\(ax^{2} +bx+ c=0\)

The given roots are,

\(x= -2 \\ x=3\)

Therefore, as per the definition of quadratic equations,

the roots can be written as,

\([x - (-2)][x - 3] = 0\)

\(x^2 -3x + 2x - 6 = 0\)

Therefore, the quadratic equations will be as,

\(x^2 -x - 6 = 0\)

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Answer:

B :)

Step-by-step explanation:

Apex

A) The end behavior of the polynomial graph is that;

as x → -∞, y → -∞, and as x → ∞, y → ∞

B) The given graph polynomial represents an even degree polynomial.

The end behavior of the graph of a polynomial function is the behavior of the graph of as approaches positive infinity or negative infinity.

Now, we see from the graph that as x approaches a larger value, y values are getting increasingly negative. This means that as x approaches negative infinity, the values of y approach negative infinity.

In a similar approach, we can see that as the values of x approach positive infinity, the values of y also approach positive infinity.

Thus, we can say that option  D is correct.

B) Odd-degree polynomial functions, are those that have graphs that extend diagonally across the quadrants while even-degree polynomial functions are those that have graphs that open upwards or downwards.

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Answer: C

Step-by-step explanation:

The diagram I made below shows that the rectangle has a perimeter of 36 units. The width has to be 4 units less than the length. In order for the for the perimeter to be 36 units, the length would have to be 11 units. 4 units less than the length would then be 7 for the width. When you add them up, 7+7+11+11=36. Therefore the answer (length) is 11.

           11          

7   l       36        l   7

    l                   l

            11

Length (L) =11

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Using the perimeter formula of the Isosceles triangle the equation 2x + 2.1 = 7.5 is derived. The correct option is D.

Triangle is a polygon that has three sides. The sum of the angle of the triangle is 180 degrees. The two sides of the triangle are equal.

Given

The isosceles triangle has a perimeter of 7.5 m.

We know the perimeter of the Isosceles triangle.

Perimeter = Sum of all sides of the triangle

Let the sides be x and y and

And let y be the shortest side.

For y = 2.1 m, the equation will be

\(\rm Perimeter = x + x +y\\\)

On simplifying the equation, we get

2x + 2.1 = 7.5

The required equation is 2x + 2.1 = 7.5.

Thus, option D is correct.

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The rabbit travels a distance of 138 m, and the average speed of the hiker for the entire trip is 7.2 km/h.

Given that,

Speed = 12.0 m

Time = 11.5 seconds

Now we need to calculate the distance by using the formula of distance:

d=v*t

d=12.0*11.5

d=138m

The rabbit travels a distance of 138 m.

Distance = 5.10 km

Time = 1 hour

Distance 16.5 km

Time = 2 hours

To calculate the average speed of the hiker for the entire trip using the formula of average speed:

v=D/T

Where, D = Total distance

T = Total time

Put the value into the formula:

v=5.10+16.5/1+2

v=7.2km/h

Therefore, the average speed of the hiker for the entire trip is 7.2 km/h.

Hence, This is the required solution.

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Answer:

4 Lessons

Step-by-step explanation:

55 * 4 = 220   +     140    =    360

75 * 4 = 300   +      60    =     360

Price per lesson, times number of lessons, plus deposit cost, equals total amount when the lessons will be the same price.

Hope this helps!

Answer:

multiply the distance they walked by 4 since they walked for 4 days

Step-by-step explanation:

The value of S(t) is $80,655.43 (rounded to the nearest penny).

Given: A bank features a savings account that has an annual percentage rate of r=2.3% with interest compounded semi-annually. Natalie deposits $57,500 into the account. The account balance can be modeled by the exponential formula:

\(`S(t)=P(1+ T/n )^nt`;\)

where,

S is the future value,

P is the present value,

T is the annual percentage rate,

π is the number of times each year that the interest is compounded, and

t is the time in years.

(A) The formula to calculate the future value of the deposit is:

\(S(t) = P(1 + r/n)^(nt)\)

where S(t) is the future value,

P is the present value,

r is the annual interest rate,

n is the number of times compounded per year, and

t is the number of years.

Let us fill in the given values:

P = $57,500r = 2.3% = 0.023n = 2 (compounded semi-annually)

Thus, the values to be used are P = $57,500, r = 0.023, and n = 2.

(B) The given values are as follows:

P = $57,500r = 2.3% = 0.023

n = 2 (compounded semi-annually)

t = 9 years

So, we have to find the value of S(t).Using the formula:

\(S(t) = P(1 + r/n)^(nt)= $57,500(1 + 0.023/2)^(2 * 9)= $80,655.43\)

Natalie will have $80,655.43 in the account in 9 years (rounded to the nearest penny).Therefore, the value of S(t) is $80,655.43 (rounded to the nearest penny).

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Answer:

LET X & (X+1) BE THE 2 INTEGERS.

X^2+4(X+1)=64

X^2+4X+4-64=0

X^2+4X-60=0

(X-6)(X+10)=0

X-6=0

X=6 ANS.FOR THE SMALLER INTEGER.

6+1=7 ANS. FOR THE LARGER INTEGER.

PROOF:

6^2+4*7=64

36+28=64

64=64

Step-by-step explanation:

Answer:

Since the shape is an corresponding angle, you would work out the question like this:

(3x + 22) = (x + 30)

X = 4

Therefore X is equal to 4. No rounding is needed.

I'm NOT a math teacher, please double check my answer!

Cheers! :)

Answer:

she

Step-by-step explanation:

Answer:

A - she

pronounced shee

hope this helps

The tangent planes to the surface are described by the equation "6x + 12y + 48z - 210 = 0" (3, 4, 3).

In this instance, the equation yields the parametrized surface "r(t) = (t², \(t^3\), \(t^4\)). On the surface, the issue that interests us is (3, 4, 3).

We may use the partial derivative concept to obtain the second derivative of the surface at points (3, 4, 3). Regardless of whether a change in the parameterization approaches zero, the time derivative of the parameter value of a variable serves as the upper estimate of the differentiating quotient.

[(r(3 + h) - r(3)) / h] as h approaches 0

For the x-coordinate of the surface, this limit is given by

[((3 + h)² - 3²) / h] as h approaches 0

which simplifies to

[(9 + 6h + h² - 9) / h] as h approaches 0

which simplifies to

[6h + h²] as h approaches 0

Since h is approaching 0, h2 is approaching it faster than h. As h approaches 0, the limit changes from 0 to 6, and the number of h2 decreases relative to the value of 6h.

Thus, the partial derivative of the x-coordinate of the surface concerning the time at the coordinates (3, 4, 3) is 6.

As a result, the vector is the normal vector to the ground at the location (3, 4, 3). (6, 12, 48). 6x + 12y + 48z + d = 0 is the equation of the tangent planes to the ground at this position.

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Amy and Vince must save approximately $323.45 at the beginning of each month to have the $18,000 they need for their trip to Europe in five years  if they can get 5.5% interest in their savings account.

We know that Amy and Vince want to save $18,000 in five years and can earn 5.5% interest in their savings account, we need to adjust the interest rate to a monthly rate.

First, let's calculate the monthly interest rate (r) from the annual interest rate:

r = (1 + annual interest rate)^(1/12) - 1

= (1 + 0.055)^(1/12) - 1

= 0.0045107

Next, let's calculate the number of periods (n) in months:

n = 5 * 12

= 60 months

Using the future value of an ordinary annuity formula, we can solve for the monthly savings (PMT):

PMT = FV / [((1 + r)^n - 1) / r]

where:

FV = Future Value (desired savings amount)

r = Monthly interest rate

n = Number of periods

FV = $18,000

PMT = 18,000 / [((1 + 0.0045107)^60 - 1) / 0.0045107]

≈ $323.45

Therefore, Amy and Vince must save approximately $323.45 at the beginning of each month to have the $18,000 they need for their trip to Europe in five years.

Therefore, the correct option is $323.45.

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The point estimate from a confidence interval can be found by taking the midpoint of the interval.

The formula for the point estimate is (lower bound + upper bound) / 2. For example, the 95% confidence interval for a sample mean of 25 is (23, 27). The point estimate for this sample mean is (23 + 27) / 2 = 25. This point estimate is the best estimate of the true population mean.

In essence, the point estimate is the best guess of the population mean given the data. It is calculated by taking the midpoint of the confidence interval, which is the range of values that is believed to contain the population mean with a certain degree of confidence. The point estimate is usually the most reliable estimate and is used to make decisions in statistical analysis.

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The height of the box is 2 inches.

Given: A package of gift cards has a length of 8 inches, a width of 4 inches, and a volume of 64 inches cubed.

To Find: The height of the box.

Solution: We can use the volume of a rectangular prism formula to compute the height of the box.

V = l x w x h.

Where V denotes volume,

l denotes length,

w denotes width,

and h denotes height.

It is given that the volume is 64 inches cubed and the length and breadth of the box are 8 and 4 inches, respectively.

Now, the formula becomes h = Volume / (length x width)height

Here, we get,

64 / (8 x 4)h

Now, after solving the above equation with the given formula we get the height of the box = 2 inches.  As a result, the box's height is 2 inches.

Thus, the height of the box is 2 inches.

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Answer:

66 cm³

Step-by-step explanation:

Volume of the oblique prism = Area of the base× height

V = Area of the triangular base × height

V = (bh/2)H.................. Equation 1

Where V = Volume of the prism, b = bas of the triangle, h = height of the triangle, H  = height of the prism.

From the diagram,

b = 3 cm, h = 4 cm, H = 11 cm.

Substitute these values into equation 1

V = [(3×4)/2]×11

V = 6×11

V = 66 cm³

Hence the volume of the oblique prism is 66 cm³

Answer:

w = p/2 - l

Step-by-step explanation:

Hope this helps!!

Answer:

W=(P-2L)/2

Step-by-step explanation:

W=(P-2L)

Then what ever number you get divide by 2

To get the width