How long would Joey need to invest his $300 at 4% annual interest if he wants to end up with $400? Assume simple interest, I = PRT and round to the nearest tenth of a year

Answer: B

Step-by-step explanation:

The coordinates of the point that is 2/4 the way from A to B are (1, 7).

The coordinates of the point that divides a segment into a fractional component, n (n+m), or an arbitrary ratio, n:m, are given by:

   x = [n ⁄ (n+m)] (x₂ - x₁) + x₁  and y = [n ⁄ (n+m)] (y₂ - y₁) + y₁

Given:

For this problem, n = 2 and m = 2 since (2 ⁄ (2+2) = 2 ⁄ 4,  ( x,₁ y₁) =(-2, 5) and ( x₂, y₂) = (4, 9)

Where n and m are both positive integers, [n (n+m)] is the required distance ratio from the beginning position, (x₁, y₁)  are the coordinates of one endpoint, and (x₂, y₂) are the coordinates of the other endpoint.

x = [n ⁄ (n+m)] (x2 - x1) + x1

  = (2/4 ) (4 - (-2)) + (-2)

  =  (2/4 ) (4 + 2) + (-2)

  = (2/4 ) × 6 + (-2)

  =  3 - 2 = 1

y = [n ⁄ (n+m)] (y2 - y1) + y1

  =  (2/4 ) (9 - 5) + 5

  =  (2/4 ) (4) + 5

   =  2 + 5 = 7

Therefore, the coordinates of the point are (1, 7).

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As per the concept of function, the arguments supplied to the IF function, in order, are the condition for execution, the result if condition is true, and the result if condition is false.

What is meant by function?

In math, function refers an expression, rule, or law that defines a relationship between one variable also known as the independent variable and another variable also known as the dependent variable.

Here we need to find the missing term of the given statement the arguments supplied to the if function, in order, are the condition for execution.

Here we have given that, the if function refers decision-making statement that guides a program to make decisions based on specified criteria.

When the IF statement executes one set of code if a specified condition is met (TRUE) or another set of code evaluates to FALSE.

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Answer:

It should be $28500

Step-by-step explanation:

76000 x 3/8 = 28500

value of shop:76000

robert owns:3/8

$76,000 divided by 3 = $25,333.33 :)

Answer:

n = 24

Step-by-step explanation:

subtract 12

n/4 = 6

multiply by 4

n = 24

Answer: I tryed

6

Step-by-step explanation: 18-12=6  

Answer: The two given lines are skew lines and the distance between them is sqrt(1331/686)

Skew lines: Two lines are said to be skew lines if they are non-intersecting, non-parallel lines. If two lines are not in the same plane or if they are parallel, they are called skew lines.

For example, consider two lines on different planes or the pair of lines lying in the same plane, which is neither intersecting nor parallel. To show that the following lines are skew, we can consider the vector that is the direction vector of L1 and L2. (Let's call them v and w, respectively).

L1: x = 1 + t,

y = 1 + 6t,

z = 2tL2:

x = 1 + 2s,

y = 5 + 15s,

z = −2 + 6s

Let's first calculate the direction vector of L1 by differentiating each equation with respect to t:

v = [dx/dt, dy/dt, dz/dt]

= [1, 6, 2]

Let's now calculate the direction vector of L2 by differentiating each equation with respect to s:w = [dx/ds, dy/ds, dz/ds] = [2, 15, 6]

These two vectors are neither parallel nor antiparallel, and therefore L1 and L2 are skew lines.

The distance between two skew lines can be found by drawing a perpendicular line from one of the lines to another line.

For this, we need to find the normal vector of the plane that contains both lines, which is the cross product of the direction vectors of the two lines. Let's call this vector n:

n = v x w

= [12, -2, 27]

The equation of the plane that contains both lines is then given by:

12(x - 1) - 2(y - 5) + 27(z + 2)

= 0

Simplifying, we get:

12x - 2y + 27z - 11

= 0

Let's now find the point on L1 that lies on this plane.

For this, we need to substitute the equations of L1 into the equation of the plane and solve for t:

12(1 + t) - 2(1 + 6t) + 27(2t) - 11

= 0

Solving for t, we get:

t = 1/14

We can now find the point P on L1 that lies on the plane by substituting t = 1/14 into the equations of L1:

P = (15/14, 8/7, 1/7)

To find the distance between L1 and L2, we need to draw a perpendicular line from P to L2.

Let's call this line L3.

The direction vector of L3 is given by the cross product of the normal vector n and the direction vector w of L2:u = n x w = [-167, -66, 24]

The equation of L3 is then given by:

(x, y, z) = (15/14, 8/7, 1/7) + t[-167, -66, 24]

To find the point Q on L3 that lies on L2, we need to substitute the equations of L2 into the equation of L3 and solve for s:

x = 1 + 2s15/14

= 5 + 15ss

= -1/14y = 5 + 15s8/7

= 5 + 105/14

= 75/14z

= -2 + 6s1/7

= -2 + 6s = 5/7

We can now find the distance between L1 and L2 by finding the distance between P and Q.

Using the distance formula, we get:

d = sqrt[(15/14 - 1)^2 + (8/7 - 5)^2 + (1/7 + 2)^2]

d = sqrt[19/14 + 9/49 + 225/49]

d = sqrt[1331/686]

Answer: The two given lines are skew lines and the distance between them is sqrt(1331/686)

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Answer:

srgsghsgsg

Step-by-step explanation:

Answer:

option (C) is right answer

Answer:

this is for scaming me HAH

Step-by-step explanation:

The directional derivative of f at point p in the direction of the vector u is -38/√50.

Given, f(x, y) = x/y, p(5, 1),

u = 3 5 i 4 5 j,

We need to find the directional derivative of f at point p in the direction of the vector u.

To find the directional derivative of f at point p in the direction of the vector u, we need to follow the below steps:

Step 1:

Find the gradient of f(x, y) at point p(5, 1) by finding the partial derivatives of f with respect to x and y respectively.

∇f(x, y) = (df/dx, df/dy)df/dx

= 1/y and df/dy

= -x/y²∇f(5, 1)

= (df/dx, df/dy)

= (1/1, -5/1²)

= (1, -5)

Step 2:

Find the unit vector in the direction of u by dividing u by its magnitude.

||u|| = √(35² + 45²)

= √(1225 + 2025)

= √3250u/||u||

= (35i/√3250, 45j/√3250)

= (7i/√50, 9j/√50)

Step 3:

Find the directional derivative of f at point p in the direction of the vector u using the formula:

Directional derivative = ∇f(p) · (u/||u||)

where · denotes the dot product and ∇f(p)

= (1, -5)

Directional derivative = ∇f(p) · (u/||u||)

= (1, -5) · (7i/√50, 9j/√50)

= (7/√50) - (45/√50)

= -38/√50

Hence, the directional derivative of f at point p in the direction of the vector u is -38/√50.

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Answer:

It D bro the answer is D [][][][][][]

Answer: D makes the most sense to me

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given :

Base (b) = 7.7mm

Area (a) = 210.21mm^2

Height (h) = ?

\(Area = \frac{base\times height}{2} \\\\210.21= \frac{7.7\times h}{2} \\\\210.21\times2 = 7.7\times h\\\\420.42 = 7.7 h\\\\\frac{420.42}{7.7}=\frac{7.7h}{7.7}\\\\54.6 =h\\\\h=54.6\)

Answer:

60.1 mm

Step-by-step explanation:

The formula for the area of a triangle of base b and height h is A = (1/2)(b)(h).

We are to find the height of the given triangle, so solve this last equation for h:

2A = (b)(h), or h = 2A/b

Substituting 210.21 mm^2 for A and 7.7 mm for b, we get:

       2(210.212 mm^2)

h = --------------------------- = 60.1 mm

               7 mm

Answer:

Help him with this problem peeps

Step-by-step explanation:

Answer:

the answer is  5/8, 65%, 2/3, 0.7

Step-by-step explanation:

For the given,  F, G and H are the midpoints of the sides of ΔJKL, FG = 37, KL = 48, and GH = 30, then measure of FH = 24, measure of JL = 74, measure of KJ = 60 and measure of FJ = 30.

As given in the question,

F, G, and H are the midpoints of the sides of ΔJKL.

F is the midpoint of KJ, G is the midpoint KL, H is the midpoint of JL

Measure of the required sides are as follow:

FH = (KL / 2)                         (by midpoint theorem)

     = (48/2)

     = 24

JL = 2 x FG             (by midpoint theorem)

   = 2 x 37

   = 74  

KJ = 2 x GH             (by midpoint theorem)

    = 2 x 30

    = 60

FJ = GH = 30            (by midpoint theorem)

Therefore, for the given,  F, G and H are the midpoints of the sides of ΔJKL, FG = 37, KL = 48, and GH = 30, then measure of FH = 24, measure of JL = 74, measure of KJ = 60 and measure of FJ = 30.

The complete question is:

If F, G, and H are the midpoints of the sides  KJ, KL, and JL respectively of ΔJKL, FG = 37, KL = 48, and GH = 30, find each of the following measures. FH= JL= KJ= FJ=​

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Answer:

They sold 175 small popcorns and 103 Large popcorns

Step-by-step explanation:

The equation is

L + S = 278 this means the total large and small popcorn that they sold is 278

3L+1S= 484  The owner of the question told me the total profit is 484

When we solve we can turn the first equation into L=-S+278

we substitute  L=-S+278 into 3L+1S=484 we get  -3S+ 834+ S= 484

-3S+834+1S=484

-2S+ 834= 484

-2S=- 350

2s= 350

s= 175

We know that they sold 175 small popcorns now. Now we Substitute 175 into L+ S= 278 and get L+ 175=278

L+175=278

L= 103

They sold 175 small popcorns and 103 Large popcorns

Answer: Similar

Step-by-step explanation:

ik

The probability of not getting a diamond card is \(\frac{3}{4}\) .

What is probability ?

 The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

The total number of outcomes of a deck of 52 cards are 52.

Since, there are 13 cards of diamond in a deck of 52 cards, therefore, the total number of favourable outcome that it is not a diamond is ,

=> 52-13= 39.

Therefore, probability P of not getting a diamond card is:

P= \(\frac{39}{52}\) = \(\frac{3}{4}\)

Hence, the probability of not getting a diamond card is \(\frac{3}{4}\) .

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Answer:

The answer is \(466\frac{2}{3}\,g\)

Step-by-step explanation:

Let,

Amount of alloy with 30% silver = x g

Given,

Amount of alloy with 10% silver = 200 g

So, Total Amount of alloy with 24% silver = (x+200) g

Now,

\(x*0.30+200*0.10=(x+200)*0.24\\=>0.30x+20=0.24x+48\\=>0.06x=28\\x=466\frac{2}{3}\,g=466.67\,g\)

Hope you have understood this....

pls mark my answer as the brainliest

Step-by-step explanation:

y = 15× tan25° = 15×0.466 = 6.99 m

r (Hypotenuse) = 15/cos25° = 15/0.906

= 16.56m

the total height = 6.99+16.56 = 23.55 m

The Wald test is a statistical test that can be used to test the significance of a group of coefficients in a multiple regression model.

The test statistic is calculated as the ratio of the estimated coefficient to its standard error. If the test statistic is significant, then the null hypothesis that the coefficient is equal to zero can be rejected.

Suppose we have a multiple regression model with three independent variables: age, gender, and education. We want to test the hypothesis that the coefficients for age and education are both equal to zero. The Wald test statistic would be calculated as follows:

Test statistic = (Estimated coefficient for age) / (Standard error of estimated coefficient for age) + (Estimated coefficient for education) / (Standard error of estimated coefficient for education)

If the test statistic is significant, then we can reject the null hypothesis that the coefficients for age and education are both equal to zero. This would mean that there is evidence that age and education are both associated with the dependent variable.

The Wald test is a powerful tool that can be used to test the significance of a group of coefficients in a multiple regression model. However, it is important to note that the test statistic is only valid if the assumptions of the multiple regression model are met. If the assumptions are not met, then the p-value of the Wald test may be inaccurate.

Here are some of the assumptions of the multiple regression model:

* The independent variables are independent of each other.

* The dependent variable is normally distributed.

* The errors are normally distributed.

* The errors have constant variance.

If any of these assumptions are not met, then the Wald test may not be accurate.

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After solving the quadratic equation, the sum of the lengths of the legs is 11 + (2 x 11 + 4) = 11 + 26 = 37 units.

Let's assume that one leg of the right triangle is x units. According to the problem, the other leg is 4 more than twice the length of x, which can be represented as 2x + 4 units.

Using the Pythagorean theorem, we can set up the equation:

\(x^2 + (2x + 4)^2 = 26^2\)

Expanding and simplifying the equation:

\(x^2 + 4x^2 + 16x + 16 = 676\)

\(5x^2 + 16x - 660 = 0\)

We can now solve this quadratic equation to find the value of x. By summing the lengths of the legs (x + 2x + 4), we can determine the final answer.

After solving the quadratic equation, we find two possible solutions: x = 11 and x = -12. Since the lengths of the sides cannot be negative, we consider x = 11 as the valid solution.

Therefore, the sum of the lengths of the legs is 11 + (2 x 11 + 4) = 11 + 26 = 37 units.

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Answer:

m= 27

Step-by-step explanation:

m° +66° +m°= 120° (vert. opp. ∠s)

Simplify:

2m° +66°= 120°

2m°= 120° -66°

2m°= 54°

Divide both sides by 2:

m°= 54° ÷2

m°= 27°

m= 27

What are vertically opposite angles?

Answer:

It will take him 13 Months to save up $12 a month to buy the shoes.

Hope this helps

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

1111     <--- 1st row

1111     <---- 2nd row

1111      <--- 3rd row

1111     <----- 4th row

1111     <----- 5th row

use multiplication

Using a 35-bag sample with a mean of 406.0 grams, a known standard deviation of 25.0 grams, and a level of significance of 0.05, you can perform a one-tailed Z-test to determine whether to reject or fail to reject the null hypothesis.

To test if the potato chip manufacturer's bag filling machine is working correctly at the 411.0-gram setting, we will state the hypotheses using the given terms.

Null Hypothesis (H0): The machine fills bags correctly, with a mean weight of 411.0 grams (µ = 411.0 grams)
Alternative Hypothesis (H1): The machine is underfilling bags, with a mean weight less than 411.0 grams (µ < 411.0 grams)

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Answer:

what do u need help with

Step-by-step explanation:

A histogram is a univariate display of quantitative data that organizes data into bins and shows the frequency of observations within each bin.


A histogram is a graphical representation that displays the distribution of quantitative data. It consists of a series of contiguous bars, where each bar represents a specific range or bin of values, and the height of the bar corresponds to the frequency or count of observations falling within that range.

Histograms are commonly used to visualize the shape, central tendency, and spread of a dataset. By examining the heights of the bars, one can determine the frequency of values within each bin and identify patterns such as peaks or clusters. This makes histograms an effective tool for exploring the distribution and characteristics of a single variable in a dataset.

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