on a hot day, students are lining up to buy ice cream. let l be the number of people in line. write a differential equation for l using the following assumptions.

As per the Simple interest concept, at 7% of rate the remainder of the money need to be invested so that the two investments together yield at least $1620 in yearly​ interest.

Simple interest.

Simple interest is calculated by multiplying the daily interest rate by the principal by the number of days that elapse between payments.

Given,

A financial planner has a client with 16000​$ to invest.

Here we need to calculate the rate does the remainder of the money need to be invested so that the two investments together yield at least $1620 in yearly​ interest when he invests $10,000 with the annual simple interest 12%.

Let us consider R represents the rate that remainder of money needs to be invested

Here we know that, $10,000 is invested at 12%

So, according to the formula the interest at 12% is evaluated as,

=> $10,000 * 0.12 * 1 = $1200

And the remaining $6000 is invested at R%

Then the interest at R%=$6000 * R * 1 = $6000R

Now we need to find that the two investments together need to yield at least $1620, so our equation to solve is:

$1620 = $1200 + $6000R

Now, we have to subtract $1200 from both sides, then we get,

$1620 - $1200=$6000R

Then collect similar terms

$420=$6000R

Now, divide both sides by $6000

R=0.07 or 7%

Therefore, the answer is 7%.

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Answer:

There are 3 strawberries and the total number of fruit is 15, so 3:15 is the ratio, or 3/15.

Step-by-step explanation:

The total number is all of the fruits added together, so 12 + 3.

The 3 means the number of strawberries, so you just put them together into a ratio.

Hope this helps.

Mark as brainliest please

Answer: 38 and 39

if you add them together you get 77

Answer:

38 & 39

Step-by-step explanation:

Forming the equation,

→ x + (x + 1) = 77

→ 2x + 1 = 77

Now the value of x will be,

→ 2x + 1 = 77

→ 2x = 77 - 1

→ x = 76/2

→ [ x = 38 ]

Then the required integers are,

→ x = 38

→ x + 1 = 38 + 1 = 39

Hence, the integers are 38, 39.

Answer: B. 2x-5

Step-by-step explanation:

Decompose the polynomial into factors:

[tex]2x^2+x-15=\\\\2x^2+6x-5x-15=\\\\2x(x+3)-5(x+3)=\\\\(x+3)(2x-5)[/tex]

[tex]S=length*width\\\\The \ lenght=x+3\\\\Hence,\ \\\\The \ width=2x-5[/tex]

Answer:

68.054

Step-by-step explanation:

I don't really have an explanation for this, it just is.

Sixty-eight (68) and fifty-four thousandths (.054, because the thousandths place is the third digit after the decimal point).

pls tell me u understand the drawing

The slope of the line above is -2.

The slope of a line can be defined as the change in y with respect to the change in x .

The slope can be regarded as rise over run.

The slope can be express in mathematical form as follows;

slope = m = y₂ - y₁ / x₂ - x₁

using the coordinates on the graph,

(0, 3)(3, - 3)

x₁ = 0

x₂ = 3

y₁ = 3

y₂ = - 3

Therefore,

slope = -3  - 3 / 3 - 0

slope = - 6 / 3

Hence,

slope = - 2

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Answer:The total cost is $41.04

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

The rational number of 7¹/₃  as; a/b where a and b are integers.

A rational number is defined as any number that can be written as a fraction, where both the numerator (the top number) and the denominator (the bottom number) are integers, and the denominator is not equal to zero

Now, we are given the fraction as; 7¹/₃

This given number is expressed as a mixed fraction and so we convert it to improper fraction to get; 22/7

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The solution to the system of equation {x + y = 1, 3x - y = 7 } using augmented matrices is ( 2,-1 ).

Given the system of equation in the question;

x + y = 1

3x - y = 7

First, we write the system of equation in matrix form.

[tex]\left[\begin{array}{ccc}1&1&1\\3&-1&7\\\end{array}\right][/tex]

Next, we find the reduced row echelon form

Row operation R₂ = R₂ - 3R₁ to make the entry at 2, 1 a 0.

[tex]\left[\begin{array}{ccc}1&1&1\\3-3*1&-1-3*1&7-3*1\\\end{array}\right] \\\\\left[\begin{array}{ccc}1&1&1\\0&-1\4&4\\\end{array}\right][/tex]

Next, multiply each element of R₂ by -1/4 to make the entry at 2, 2 a 1.

[tex]\left[\begin{array}{ccc}1&1&1\\-\frac{1}{4}*0 &-\frac{1}{4}*-4 &-\frac{1}{4}*4 \\\end{array}\right] \\\\\left[\begin{array}{ccc}1&1&1\\0&1&-1\\\end{array}\right][/tex]

Now, perform the operation, R₁ = R₁ - R₂, to make the entry at 1,2 a 0.

[tex]\left[\begin{array}{ccc}1-0&1-1&1+1\\0&1&-1\\\end{array}\right] \\\\\left[\begin{array}{ccc}1&0&2\\0&1&-1\\\end{array}\right][/tex]

Using the result from the matrix, x = 2 and y = -1.

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Answer:

6/10

Step-by-step explanation:

I think, however I may be very wrong, sorry.

Answer:

[tex]\sf \dfrac{29}{30}[/tex]

Step-by-step explanation:

A bag contains:

Therefore, the total number of marbles in the bag is 10 marbles.

The possible outcomes for drawing 3 marbles (without replacement) are:

Therefore, the only outcome where at least one red marble is not drawn is {Y Y Y}.

To find the probability of drawing at least one red marble, subtract the probability of drawing 3 yellow marbles from one.

The probability of drawing 3 yellow marbles without replacement is:

[tex]\implies\sf P(3\; yellow \;marbles)=\dfrac{4}{10} \times \dfrac{3}{9} \times \dfrac{2}{8}=\dfrac{24}{720}=\dfrac{1}{30}[/tex]

Therefore, the probability of drawing at least one red marble is:

[tex]\implies \sf P(At\;least\;one\;red\;marble)=1-\dfrac{1}{30}=\dfrac{29}{30}[/tex]

This can be confirmed by drawing a tree diagram (see attached).

To find the probability of drawing at least one red marble, add the probabilities at the end of each relevant final branch:

[tex]\begin{aligned}\implies \sf P(At\;least\;one\;red\;marble)&=\dfrac{1}{6}+\dfrac{1}{6}+\dfrac{1}{6}+\dfrac{1}{10}+\dfrac{1}{6}+\dfrac{1}{10}+\dfrac{1}{10}\\\\&=\dfrac{4}{6}+\dfrac{3}{10}\\\\&=\dfrac{20}{30}+\dfrac{9}{30}\\\\&=\dfrac{29}{30}\end{aligned}[/tex]

The number of millionaires Los Angeles should have will be equal to 5,065 millionaires.

Proportion may be defined as part or share of a complete unit compared with respect to the whole unit. A proportion is basically the equality of ratios. Two different ratios can be treated as equals if they are in proportion to each other. Now, the number of millionaires in Los Angeles will be equal to the Proportion of Millionaires in Dubai multiplied by the Population of Los Angeles that is

= 0.00124 × 4,085,014

= 5,065 millionaires

The Data and Calculations will be given as:

City                Millionaires     Population      Proportion

Los Angeles    11,560              4,085,014        0.00283 (11,560/4,085,014)

Casablanca     6,900              3,752,357        0.00184 (6,900/3,752,357)

Berlin               6,750              3,562,038         0.00189 (6,750/3,52,038)

Dubai               3,570              2,878,344         0.00124 (3,570/2,878,344)

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Complete Question:

City Millionaires Population

Los Angeles 11,560 4,085,014

Casablanca 6,900 3,752,357

Berlin

6,750

3,562,038

Dubai

3,570

2,878,344

Consider the chart of Millionaires and Population. If Los Angeles were

proportional to Dubai with respect to population, how many millionaires

should we expect Los Angeles to have? Round your answer to a whole number.

Step-by-step explanation:

I hope it will be helpful for you.

Answer:

7x + 30z

Step-by-step explanation:

7x +(5*6)z

= 7x + 30z

EXPLANATION:

Given;

We are given two triangles labeled MRS and NSR.

Required;

We are required touse the information provided rto rove tside SM is equal to side RN.

Solution;

If two sides and the included angle of one triangle are congruent to the corresponding parts of a second triangle, then we can conclude that both triangles are congruent.

Therefore;

Answer:

1 91/100

Step-by-step explanation:

everything you need is in the picture

goodluck :)

The height of the scale drawing in inches is 15.

As per the scale factor, the ratio of measurement in real is equal to the measurement to measurement of scale drawing. So, representing the two ratio -

3 inches : 2 feet = Height : 10 feet

Rearranging the formed ratio to find the height of bedroom in scale drawing is -

Height = (3 inches × 10 feet ) ÷ 2 feet

Performing division to find the height of bedroom in scale drawing

Height = 3×5

Performing multiplication to find the height of bedroom in scale drawing

Height = 15 inches

Therefore, scale drawing of 10 feet high bedroom will be 15 inches.

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Answer:

1111...................... ................

Answer:

2 points

Step-by-step explanation:

According to the graph, the parabola has two x-intercept, where is (0,-2) and (0,-8).

By using the graph we can see:

First, we want to find the value of x such that the graph touches (intercepts) the x-axis.

On the graph, we can see that it intercepts the x-axis at x = 0, so that is the x-intercept.

Now we want to find f(-2), this is the value of the function when x = -2, to find that we first need to find x = -2 in the horizontal axis.

f(-2) = 4

Now we want to find the value of x such that:

f(x) = 2

so now we need to find 2 in the vertical axis. we can see that the function is equal to 2 for x = -1.3 (approximation).

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The value that makes the triangle a valid triangle is x = 17

Angles are formed when two or more lines intersect.

This in other words means that angles is the measure of space between the intersection of rays or lines

The given parameters are

Shape = Triangle STU

Angle S = 6x - 15

Angle T = 2x - 2

Angle U = 4x - 7

The sum of angles in a triangle is 180 degrees

This means that

Angle S + Angle T + Angle U = 180

Substitute the known values in the above equation

So, we have the following:

6x - 15 + 2x - 2 + 4x - 7 = 180

Evaluate the like terms in the equation

So, we have the following:

12x = 180 + 15 + 2 + 7

Evaluate the like terms in the equation

So, we have the following:

12x = 204

Divide by 2

x = 17

Hence, the value of x is 17

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The minimum sample size of the given condition is 89.

In given condition,

For 95% confidence level, critical value of z is z* = 1.96

The margin of error given is E = 1

Standard deviation ( α ) = 4.8

Final required sample size is;

n = [tex](\frac{z*\alpha }{E} )^{2}[/tex]

  = [tex](\frac{1.96 * 4.8}{1} )^2[/tex]

  = 88.51

n  ≅ 89

The minimum sample size of the given condition is 89.

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Solving 2x+c = d is similar to solving 2x+1 = 9 because both the equations have similar pattern.

According to the question,

We have thee following two equations:

2x+c = d ....(1)

2x+1 = 9 ....(2)

Now, note in these equations that in equation 2 we have two different values of c and d. We have the value of c as 1 and d as 9.

Further, solving these two equations would be same because of the following:

For equation 1, we have:

2x+c = d

2x = d-c

x = (d-c)/2

For equation 2, we have:

2x+1 = 9

2x = 9-1

x = (9-1)/2

Now, observe that in finding the values of x in both the equations we have similar solutions except the fact that in equation 2 we have two values of c and d.

Hence, solving 2x+c = d and 2x+1 = 9 is similar.

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Answer:

4/7

Step-by-step explanation:

Answer:

Brandon has [tex]\frac{3}{7}[/tex] of the chocolate left with him.

Step-by-step explanation:

Step 1: Identify the fractions
Colton is given one of the seven pieces, so he has [tex]\frac{1}{7}[/tex] of the chocolate.

Jill is given three of the seven pieces, so she has [tex]\frac{3}{7}[/tex]  of the chocolate.

Brandon himself had seven pieces at the beginning, so he had [tex]\frac{7}{7}[/tex] (the whole) of the chocolate.

Step 2: Do calculations with the fractions

Collectively, Colton and Jill have taken:

[tex]\frac{1}{7}+\frac{3}{7}\\\\\text{Add the fractions:}\\\frac{1+3}{7}\\\\\text{Calculate:}\\\frac{4}{7}~\text{of the chocolate}[/tex]

So, the fraction that Brandon has currently is:

[tex]\frac{7}{7}-\frac{4}{7}\\\\\text{Subtract the fractions:}\\\frac{7-4}{7}\\\\\text{Calculate:}\\\frac{3}{7}[/tex]

Brandon has [tex]\frac{3}{7}[/tex] of the chocolate left with him.

Perimeter of the parallelogram which points are E(7,-5), F(7, 2), G(4, 8), and H(4, 1) = 24 units.

There are 4 types of parallelograms, including 3 special types. The four types are parallelograms, squares, rectangles, and rhombuses.

A parallelogram is a shape with only two dimensions. It has four sides, two parallel pairs of which make up each side. The lengths of the parallel sides are also the same. The form is not a parallelogram if the lengths of the parallel sides are not equal.

Properties of parallelograms

Given points are

E(7,-5),

F(7, 2),

G(4, 8), and

H(4, 1)

Perimeter of the parallelogram EFGH=2(EF+FG)

Distance between two points(x₁ , y₁) and (x₂ , y₂ ) can be calculated using the formula  

√(x₂ - x₁ )² + (y₂ - y₁)²

Hence ,length of  EF =  

√(7 - 7  )² + (2 - (-5))²

=√49

=7units

And length of FG =

√(4 - 7  )² + (8 - 4)²

= √16 + 9

= √25

​=5units

Hence, Perimeter of  the  parallelogram EFGH=2(EF+FG)=2(5+7)=24units

We have form parallelogram EFGH. For the result see the attachment-

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Answer:

  27.4 units

Step-by-step explanation:

Given parallelogram EFGH with vertices E(7,-5), F(7, 2), G(4, 8), and H(4, 1), you want to know its perimeter.

The distance between two points can be found from their coordinates using the distance formula ...

  d = √((x2 -x1)² +(y2 -y1)²)

The distance between points F and G is ...

  d = √((4 -7)² +(8 -2)²) = √(9 +36) = √45 ≈ 6.708

The distance between points E and F will be the difference of their y-coordinates:

  d = √((7 -7)² +(2 -(-5))²) = √(0 +7²) = 7

Since opposite sides of a parallelogram are the same length, the perimeter is twice the sum of two adjacent sides:

  P = 2(EF +FG)

  P = 2(7 +6.708) = 2(13.708) = 27.416

The perimeter of EFGH is about 27.4 units.