AISD estimates that it will need 280000 in 8 years to replace the computers in the computer labs at their high schools. if AISD establishes a sinking fund by making fixed monthly payments in to an account paying 6% compounded monthly how much should each payment be

Answers

Answer 1

The initial amount of money that must be spend to replace the computers is P = $280,000. The period of time expected to replace all the computers is t = 8 years = 96 months. The interest rate is r = 6%.

Then, the monthly payment A is given by the formula:

[tex]\begin{gathered} A=P\frac{r(1+r)^t}{(1+r)^t-1} \\ A=280,000\cdot\frac{0.06\cdot(1+0.06)^{96}}{(1+0.06)^{96}-1} \\ A=\text{ \$16,862.74} \end{gathered}[/tex]


Related Questions

can anyone give me an example of plotting points with a real life word problem

Answers

Let's have an example of a seller that sells phones.

His salary have a fixed part of $50, and it increases by $2 by each phone he sells.

We want to find out how much will be his salary if he sells 5, 10 and 15 phones.

If we use the variable x to represent the number of phones sold, his salary (variable y) will be defined by the equation:

[tex]y=50+2x[/tex]

Now, using the values of x we want to calculate, we have that:

[tex]\begin{gathered} x=5\colon \\ y=50+2\cdot5=50+10=60 \\ \\ x=10\colon \\ y=50+2\cdot10=50+20=70 \\ \\ x=15\colon \\ y=50+2\cdot15=50+30=80 \end{gathered}[/tex]

We can plot these points to see how much his salary increases for each phone sold, and also we can have an idea of any point we want to find out:

Find the exact coordinates of the HOLE in this rational function: R (x)=×+1/×+(-1)

Answers

[tex]R(x)=\frac{x+1}{x-1}[/tex]

-4 5/9 + (-1 2/3)[tex] - 4 \frac{5}{9} + ( - 1 \frac{2}{3} )[/tex]

Answers

Answer:

-6 2/9

Explanation:

Given the expression:

[tex]-4\frac{5}{9}+(-1\frac{2}{3})[/tex]

First, open the brackets:

[tex]=-4\frac{5}{9}-1\frac{2}{3}[/tex]

Next, change the fractions to improper fractions:

[tex]=-\frac{41}{9}-\frac{5}{3}[/tex]

Then, take the lowest common multiple of 9 and 3 to combine the fractions:

[tex]\begin{gathered} =\frac{-41-5(3)}{9} \\ =\frac{-41-15}{9} \\ =\frac{-56}{9} \\ =-6\frac{2}{9} \end{gathered}[/tex]

The result is -6 2/9.

Can you please help me with 28 Please give all end behavior such as limits and as_,_

Answers

Problem 28

We must describe the local and end behaviour of the function:

[tex]f(x)=\frac{x^2-4x+3}{x^2-4x-5}.[/tex]

First, we rewrite the polynomials in numerator and denominator in terms of their roots:

[tex]f(x)=\frac{(x-1)\cdot(x-3)}{(x+1)\cdot\mleft(x-5\mright)}\text{.}[/tex]

Local behaviour

We see that f(x) has a zero in the denominator for x = -1 and x = 5. The function f(x) has vertical asymptotes at these values. To analyze the local behaviour, we must compute the lateral limits for x → -1 and x → 5.

Limit x → - 1 from the left

Computing the limit from the left when x → -1, is equivalent to replacing x by -1 - ε and computing the limit when ε → 0:

[tex]\begin{gathered} \lim _{x\rightarrow-1^-}f(x)=\lim _{\epsilon\rightarrow0}f(-1-\epsilon) \\ =\lim _{\epsilon\rightarrow0}\frac{(-1-\epsilon-1)\cdot(1-\epsilon-3)}{(-1-\epsilon+1)\cdot(-1-\epsilon-5)} \\ =\lim _{\epsilon\rightarrow0}\frac{(-2)\cdot(-2)}{(-\epsilon)\cdot(-6)}\rightarrow+\infty. \end{gathered}[/tex]

In the last step, we can't throw the ε in the parenthesis different to zero.

Limit x → - 1 from the right

Computing the limit from the left when x → -1, is equivalent to replacing x by -1 + ε and computing the limit when ε → 0:

[tex]\begin{gathered} \lim _{x\rightarrow-1^+}f(x)=\lim _{\epsilon\rightarrow0}f(-1+\epsilon) \\ =\lim _{\epsilon\rightarrow0}\frac{(-1+\epsilon-1)\cdot(1+\epsilon-3)}{(-1+\epsilon+1)\cdot(-1+\epsilon-5)} \\ =\lim _{\epsilon\rightarrow0}\frac{(-2)\cdot(-2)}{(+\epsilon)\cdot(-6)}\rightarrow-\infty. \end{gathered}[/tex]

In the last step, we can't throw the ε in the parenthesis different to zero.

Limit x → 5 from the left

Computing the limit from the left when x → 5, is equivalent to replacing x by 5 - ε and computing the limit when ε → 0:

[tex]\begin{gathered} \lim _{x\rightarrow-1^-}f(x)=\lim _{\epsilon\rightarrow0}f(-1-\epsilon) \\ =\lim _{\epsilon\rightarrow0}\frac{(5-\epsilon-1)\cdot(5-\epsilon-3)}{(5-\epsilon+1)\cdot(5-\epsilon-5)} \\ =\lim _{\epsilon\rightarrow0}\frac{(+4)\cdot(+2)}{(+4)\cdot(-\epsilon)}\rightarrow-\infty. \end{gathered}[/tex]

In the last step, we can't throw the ε in the parenthesis different to zero.

Limit x → 5 from the right

Computing the limit from the left when x → 5, is equivalent to replacing x by 5 + ε and computing the limit when ε → 0:

[tex]\begin{gathered} \lim _{x\rightarrow-1^-}f(x)=\lim _{\epsilon\rightarrow0}f(-1-\epsilon) \\ =\lim _{\epsilon\rightarrow0}\frac{(5+\epsilon-1)\cdot(5+\epsilon-3)}{(5+\epsilon+1)\cdot(5+\epsilon-5)} \\ =\lim _{\epsilon\rightarrow0}\frac{(+4)\cdot(+2)}{(+4)\cdot(+\epsilon)}\rightarrow+\infty. \end{gathered}[/tex]

In the last step, we can't throw the ε in the parenthesis different to zero.

End behaviour

To describe the end behaviour of the function, we must compute the limits of the function when x → -∞ and x → +∞.

Limit x → -∞

[tex]\begin{gathered} \lim _{x\rightarrow-\infty^{}}f(x)=\lim _{x\rightarrow-\infty^{}}\frac{x^2-4x+3}{x^2-4x-5} \\ =\lim _{x\rightarrow-\infty}\frac{x^2-4x+3}{x^2-4x-5}=\frac{\lim _{x\rightarrow-\infty}\frac{x^2-4x+3}{x^2}}{\lim _{x\rightarrow-\infty}\frac{x^2-4x-5}{x^2}}=\frac{1}{1}=1. \end{gathered}[/tex]

To compute the limit we have divided numerator and denominator by x² and distributed the limit. The result of each limit is given by the leading term, which has the highest power of x.

Limit x → +∞

[tex]\begin{gathered} \lim _{x\rightarrow+\infty^{}}f(x)=\lim _{x\rightarrow+\infty^{}}\frac{x^2-4x+3}{x^2-4x-5} \\ =\lim _{x\rightarrow+\infty}\frac{x^2-4x+3}{x^2-4x-5}=\frac{\lim_{x\rightarrow+\infty}\frac{x^2-4x+3}{x^2}}{\lim_{x\rightarrow+\infty}\frac{x^2-4x-5}{x^2}}=\frac{1}{1}=1. \end{gathered}[/tex]

To compute the limit we have divided numerator and denominator by x² and distributed the limit. The result of each limit is given by the leading term, which has the highest power of x.

Answers

Local behaviour

The function f(x) has vertical asymptotes at x = -1 and x = 5.

[tex]\begin{gathered} \lim _{x\rightarrow-1^-}f(x)=+\infty \\ \lim _{x\rightarrow-1^+}f(x)=-\infty \\ \lim _{x\rightarrow5^-}f(x)=-\infty \\ \lim _{x\rightarrow5^+}f(x)=+\infty \end{gathered}[/tex]

End behaviour

[tex]\begin{gathered} \lim _{x\rightarrow-\infty^{}}f(x)=1 \\ \lim _{x\rightarrow+\infty^{}}f(x)=1 \end{gathered}[/tex]

Graph y-12=4(x-(-3))

Answers

The graph of the equation can be given as

What is an equation of the line how to graph the equation?

An equation is an expression between two variables With an equality sign. Usually an equation of the line can be given as y= mx + c, Where x is independent and y is dependent and c is y-intercept. as the value of x changes the value of y also changes.

We are given an equation y-12 = 4(x-(-3))

We first simplify the equation

we get y -12 = 4(x+3)

Multiplying 4 inside the bracket we get,

y-12= 4x+12

Adding 12 on both sides to get slope intercept form.

y=4x+24

The slope of the line is 4 and y-intercept is 24.

Now we can plot the given equation.

To learn more about graphing an equation please refer the following link

https://brainly.com/question/24696306

#SPJ13

balanced equation question for lrwctoce

Answers

[tex]2Al+3NiBr_2\text{ }\Rightarrow2AlBr_3\text{ + 3Ni}[/tex]

Letter B is the correct answer.

2 Al 2

3 Ni 3

6 Br 6

The other equatins are unbalanced

What is the area of this triangle? A=bh254 cm²90 cm²108 m²216 m²

Answers

Given:

A triangle with sides base 9 cm , height 12 cm and hypotenuse 15 cm.

Required:

What is the area of triangle?

Explanation:

The area of triangle is

[tex]A=\frac{1}{2}\times base\times height[/tex]

We have base = 9 cm and height = 12 cm.

Now,

[tex]\begin{gathered} A=\frac{1}{2}\times9\times12 \\ A=54\text{ cm}^2 \end{gathered}[/tex]

Answer:

Option A is correct.

Given a sphere with a diameter of 6.2 cm, find its volume to the nearest wholeknumberA. 998 cmB. 125 cmC. 39 cmD. 70 cm

Answers

The volume of a sphere of radius r is given by the following expression:

[tex]\frac{4}{3}\pi\cdot r^3[/tex]

In this case the radius is equal to 6.2 cm so the volume of this sphere is:

[tex]\frac{4}{3}\pi\cdot6.2^3=\frac{4}{3}\pi\cdot238.328=998.3[/tex]

If we round this to the nearest whole number we obtain 998 cm³. Then the answer is option A.

Which of the statements below is true for the following set of numbers? 20, 15, 50, 85, 75, 60A. The range is 70 and the midrange is 35 B.the range is 70 and the midrange is 50C. The range is 85 and the midrange is 55D.the range and the midrange are equal

Answers

B

1) Firstly, we need to orderly write this sequence of numbers:

[tex]15,20,50,60,75,85[/tex]

2) Then we need to calculate the Range of this Data Set, by subtracting from the highest values the least one:

[tex]R=85-15=70[/tex]

2.2) The Midrange is the average between the Highest Value and the Least value on this Data Set:

[tex]M=\frac{85+15}{2}=50[/tex]

3) Thus the answer is B

BC and DE are chords of circle A, and BC DE. Which statement cannot be verifiedfrom the information that is given?BC DEBZBACZ ZDAEAABC = AADEZDAE CAD

Answers

Let's start in the first information:

[tex]arcBC\cong arcDE[/tex]

This can be verified, because, AC, AB, AD and AE are all congruent, because they are the radius of A and, since BC and DE are congruent, triangles ABC and ADE are also congruent.

Thus, the angles mBAC and mDAE are congruent. The measure of thesee angles are the same as the arcs BC and DE, so we verified this alternative.

In the explanation above, we also verified the second alternative:

[tex]\angle BAC\cong\angle DAE[/tex]

And we verified the third alternative:

[tex]\Delta ABC\cong\Delta ADE[/tex]

We are left with the last alternative:

[tex]\angle DAE\cong\angle CAD[/tex]

This can't be verified. One way of seeing that is that we can rotate triangle ABC around the circle without changing any of the given information, however this changes mCAD.

So the only statement that cannot be verified from the given information is the last one:

[tex]\angle DAE\cong\angle CAD[/tex]

Which of the following is an infinite series?A) 3, –6, 12, –24, 48B) 2 − 6 + 18 − 54 + . . .C) 3, 13, 23, 33, . . .D) 4 + 8 + 16 + 32

Answers

SOLUTION

An infinite series is the sum of an indefinitely many numbers related in a given way. That is the addition of such number is continuos. So our answer should be between

B) 2 − 6 + 18 − 54 + . . . and



C) 3, 13, 23, 33, . . .

But, looking at both, C) is a sequence showing ordered list of numbers.

Hence B) is a showing series showing sum of a list of numbers or showing multiplication pattern.

Therefore, the correct answer is option B.



There can be no more than 100 people in the movie theater. There are already 22 people in the movie theater.What inequality represents the number of additional people, p, that can enter the movie theater?Drag and drop the appropriate symbols to correctly complete the inequality.

Answers

Answer:

[tex]p\text{ + 22}\leq\text{ 100}[/tex]

Explanation:

Here, we want to drop the appropriate symbols

When we add the given number 22 to p, it would give a number which is at most 100

That means the number must be less than or equal to 100

mathematically, we have that as:

[tex]p\text{ + 22}\leq\text{ 100}[/tex]

Result is Result isRational IrrationalReason(a) 34 +O(Choose one)12(b)4+ -21(Choose one)17(c) ſo6 x 23(Choose one)13(d)8 x(Choose one)19

Answers

Firstly, rational numbers are numbers that can be express in the form of a ratio.

[tex]\begin{gathered} \frac{x}{y} \\ \text{where} \\ y\ne0 \end{gathered}[/tex]

Irrational numbers are numbers that cannot be express in the form of a fraction. These numbers are non-terminating. Therefore,

a.

[tex]\begin{gathered} 34+\sqrt[]{7}=34+\sqrt[]{7} \\ 34\text{ is a rational number as it can be express in fraction} \\ \sqrt[]{7}\text{ is an irrational number. The square root of 7 is non-terminating.} \\ \text{The sum of a rational and an irrational number will }always\text{ be an irrational number} \end{gathered}[/tex]

b.

[tex]\begin{gathered} \frac{12}{17}+\frac{4}{21}=\frac{252+68}{357}=\frac{320}{357}(rational) \\ \text{The sum of 2 rational numbers }produces\text{ a rational number.} \\ \text{Notice that the individual numbers can be express in fractions. This makes them rational.} \end{gathered}[/tex]

c.

[tex]\begin{gathered} \sqrt[]{6}\times23=23\sqrt[]{6} \\ The\text{ product of the irrational number(}\sqrt[]{6}\text{) and rational number(23) will result in an irrational number.} \end{gathered}[/tex]

d.

[tex]\begin{gathered} 8\times\frac{13}{19}=\frac{104}{19} \\ 8\text{ is rational number} \\ \frac{13}{19}\text{ is a rational number because it can be express in fraction.} \\ \text{The product of the 2 rational number will produce a rational number (}\frac{104}{19}\text{)} \end{gathered}[/tex]


HiThe scatter plot shows a hiker's elevation above sea level during a hike from the base to the
top of a mountain. The equation of a trend line for the hiker's elevation is y = 7.96x +676, where x
represents the number of minutes and y represents the hiker's elevation in feet. Use the equation of
the trend line to estimate the hiker's elevation after 170 minutes.

Answers

Answer:

2029.2 ft

Step-by-step explanation:

If x represents the number of minutes, then all you have to do is plug in 170 ( the number of minutes ) into the equation.

y = 7.96 (170) + 676

y = 1353.2 + 676

y = 2029.2

y represents the hiker's elevation in feet, so the answer would be 2029.2 ft.

let me know if anything is confusing :-))

Indicate which property is illustrated in Step 6.Step 19 + 11x - 9 - 4x + 2=9 + (11x - 9) - 4x + 2Step 2=9 + (-9 + 11x) - 4x + 2Step 3=[9 + (-9)] + (11x - 4x) + 2Step 4=0 + (11x - 4x) + 2Step 5=(11x - 4x) + 2Step 6=(11 - 4)x + 2Step 7=7x + 2 A. additive inverse B. commutative C. associative D. distributive

Answers

step 6

(11 - 4)x + 2

the answer is option D.

distributive

Write a transformation of a quadratic function with a vertical stretch by a factor of 2, followed by a horizontal shift of 3 units to the left and 5 units down.show workkkk!!!

Answers

The standard form of a quadratic function presents the function in the form

[tex]f(x)=a(x-h)^2+k[/tex]

where (h, k) is the vertex.

The standard form is useful for determining how the graph is transformed from the graph of y = x^2. The figure below is the graph of this basic function.

You can represent a horizontal (left, right) shift of the graph of

by adding or subtracting a constant, h, to the variable x, before squaring. Here h = -3

[tex]y=(x+3)^2[/tex]

The magnitude of a indicates the stretch of the graph. a = 2

[tex]y=2(x+3)^2[/tex]

What is the location of the vertex on the parabola defined by f(x) = 2x2 + 14x + 11 and in what direction does the parabola open?

Answers

Vertex of a parabola

The point where the parabola intersects its axis of symmetry is called the "vertex" and is the point where the parabola is most sharply curved.

The given function is,

[tex]f(x)=2x^2+14x+11[/tex]

We will apply graphical method to obtain the solution to the vertex of the parabola

From the graph above, the vertex of the parabola is (- 3.5, - 13.5) which can also be represented into fraction as

[tex](-\frac{7}{2},-\frac{27}{2})[/tex]

And finally, the parabola opens upward.

Hence, the correct option is Option 2.

In what quadrant of the complex plane is -10 + 23i - (20 - 171)

Answers

Simplify the expression -10+23i-(20-17i) implies,

[tex]-30+40i[/tex]

The point (-30,40) lies in second quadrant.

Thus, the answer is second quadrant.

What is the length of BC to the nearest 10th of a centimeter

Answers

Step 1: sketch out the right angled triangle

Step 2: calculate the value BC

To calculate the value of BC we will use the trigonometric ratio

[tex]\begin{gathered} \sin \theta=\frac{opp}{hyp} \\ \text{where,} \\ \text{opp}=BC \\ \text{Hyp}=6.2\operatorname{cm} \\ \theta=32^0 \end{gathered}[/tex]

By substituting the values, we will have

[tex]\begin{gathered} \sin 32^0=\frac{BC}{6.2} \\ BC=6.2\times\sin 32^0 \\ BC=6.2\times0.5299 \\ BC=3.2854\operatorname{cm} \\ \text{appro}\xi\text{mately to the nearest tenth we will have} \\ BC=3.3\operatorname{cm} \end{gathered}[/tex]

Hence,

The value of BC =3.3cm

the graph to the right represents the cost of a taxi where X is distance in miles and y is cost $10 what conclusion can you make? A. the taxi will stop every two miles B. The taxi cost $2 per mile C. The taxi will stop after 5 miles D. The taxi cost $2 just to get into attacks

Answers

Explanation

Step 1

the graph to the right represents the cost of a taxi where X is the distance in miles and y is the cost.

if the cost is $10m it means,exist a x, that satisfies

[tex]f(x)=10[/tex]

look for the y value = 10 in the graph

Step 2

down vertically for to find the x value

Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select all that apply.)

Answers

Solution

The given function is

[tex]f(x)=4x^3[/tex]

With given interval

[tex]\lbrack1,2\rbrack[/tex]

The function is differentiable on the open interval (1,2) and it is continuous on the closed interval [1,2]

Therefore mean value theorem can be used

Calculating the c value iit follows:

[tex]f^{\prime}(c)=\frac{f(2)-f(1)}{2-1}[/tex]

This gives

[tex]\begin{gathered} f^{\prime}(c)=\frac{4(2)^3-4(1)^3}{1} \\ f^{\prime}(c)=\frac{32-4}{1} \\ f^{\prime}(c)=28 \end{gathered}[/tex]

Differentiating the given function gives:

[tex]f^{\prime}(x)=12x^2[/tex]

Equate f'(c) and f'(x)

This gives

[tex]x^2=\frac{28}{12}[/tex]

Solve the equation for x

[tex]\begin{gathered} x^2=\frac{28}{12} \\ x^2=\frac{7}{3} \\ x=\pm\sqrt{\frac{7}{3}} \\ x=\sqrt{\frac{7}{3}},x=-\sqrt{\frac{7}{3}} \end{gathered}[/tex]

Therefore the values of c are

[tex]\sqrt{\frac{7}{3}},-\sqrt{\frac{7}{3}}[/tex]

The table shows the predicted growth of bacteria after various numbers of hours. Write an explicit formula for the number of bacteria after n hours.Hours1 2 3 4 5(n)Numberof 33 57 81 105 129BacteriaΟ Α.a= 24+9O B. a = 9n+ 24OC. a, = 24n+33OD. a = 9n +33

Answers

Let a be the number of bacteria after one hour.

From the table, we get a=33.

The difference between 57 and 33 is 57-33= 24.

The difference between 81 and 57 is 81-57=24

Hence we get the common difference d=24.

The given data is in the arithmetic progression.

The formula for the nth term in the arithmetic progression is

[tex]a_n=a+(n-1)d[/tex]

Substitute a=33 and d=24, we get

[tex]a_n=33+(n-1)24[/tex]

[tex]a_n=33+24n-24[/tex]

[tex]a_n=24n+9[/tex]

Hence the required recursive equation is

[tex]a_n=24n+9[/tex]

Option A is correct.

An item is regularly priced at $95. It is on sale for 60% off the regular price. How much (in dollars) is discounted from the regularprice?

Answers

We have to find the 60% of $95. Doing so, we have:

60/100*$95

0.6*$95 (Dividing)

$57 (Multiplying)

The discount is $57

Find the first five terms of the sequence
defined recursively as follows: t₁ = 1,
tn = 3(t(n-1)), n≠1, n is a natural number.

Answers

Answer:

1, 3, 9, 27, 81

Step-by-step explanation:

using the recursive rule

[tex]t_{n}[/tex] = 3 [tex]t_{n-1}[/tex] with t₁ = 1 , then

t₂ = 3 × t₁ = 3 × 1 = 3

t₃ = 3 × t₂ = 3 × 3 = 9

t₄ = 3 × t₃ = 3 × 9 = 27

t₅ = 3 × t₄ = 3 × 27 = 81

the first 5 terms are 1, 3, 9, 27, 81

Recall that the formula for an area of a circle is A=πr^2 Find the radius of a circle whose area is 300 square meters. Give a decimal approximation rounded to 2 decimal places.raduis=_______meters

Answers

Given:

a.) Area of circle = 300 m²

Let's determine its radius,

[tex]\text{ Area = }\pi\text{r}^2[/tex][tex]\text{ }\pi r^2\text{ = Area}[/tex][tex]\text{ r}^2\text{ = }\frac{300}{3.1416}\text{ ; }\pi\text{ }\approx\text{ 3.1416}[/tex][tex]\text{ r = }\sqrt{\frac{300}{3.1416}}[/tex][tex]\text{ r = 9.77203881243 }\approx\text{ 9.77 m}[/tex]

Therefore, the radius of the circle is approximately 9.77 m

Un gerente compró un total de 21 tazas de café y llaveros. Cada taza de café cuesta $8,50 y cada llavero cuesta $2,75. Si el gerente gastó un total de $132.50, ¿cuántas tazas de café compró el gerente?

Answers

Usemos la variable x para representar el número de tazas e y para el número de llaveros.

Si el número de artículos es 21, tenemos:

[tex]x+y=21[/tex]

Si el costo total es 132.5, tenemos:

[tex]8.5x+2.75y=132.5[/tex]

De la primera ecuación, podemos escribir:

[tex]y=21-x[/tex]

Usando este valor de y en la segunda ecuación:

[tex]\begin{gathered} 8.5x+2.75(21-x)=132.5 \\ 8.5x+57.75-2.75x=132.5 \\ 5.75x=74.75 \\ x=13 \end{gathered}[/tex]

Entonces la cantidad de tazas compradas es 13.

What is the equation of a line that passes through the point (8, -4) and is parrallel to the line 6x + 2y = 9

Answers

The equation of a line that passes through the point (8, -4) and is parallel to the line 6x + 2y = 9 is 3x+y-20=0.

6x + 2y - 9 = 0

2y = -6x + 9

divide by 2 on both sides

y = -3x + 9/2

slope m = -3 and c = 9/2.

Line equation through point(8, -4) is y-y1 = m(x-x1)

y - (-4) = -3(x-8)

y+4=-3x+24

3x+y-20=0.

Therefore the equation of a line that passes through the point (8, -4) and is parallel to the line 6x + 2y = 9 is 3x+y-20=0.

Learn more about the equation and parallel here:

https://brainly.com/question/402319

#SPJ1

Lauren uses1/3cup of carrot juice for every2/3cup of apple juice to make a fruit drink.Enter the number of cups of carrot juice Lauren uses for 1 cup of apple juice,

Answers

1/3 cup of carrot juice ---------------------------------->2/3 cup of apple juice

x cups of carrot juice ----------------------------------->1 cup of apple juice

Using cross multiplication:

[tex]\frac{\frac{1}{3}}{x}=\frac{\frac{2}{3}}{1}[/tex]

solve for x:

[tex]\begin{gathered} x=\frac{\frac{1}{3}}{\frac{2}{3}} \\ x=\frac{3}{6} \\ x=\frac{1}{2} \end{gathered}[/tex]

She uses 1/2 cups of carrot juice for 1 cup of apple juice

which one of these must be a correct congruence statement

Answers

Answer:

C. AB ≅ DE

Explanation:

If triangles ABC and DEF are similar, then the following holds:

[tex]\begin{gathered} \angle A\cong\angle D \\ \angle B\cong\angle E \\ \angle C\cong\angle F \end{gathered}[/tex]

Likewise, the similar sides are:

[tex]\begin{gathered} AB\cong DE \\ AC\cong DF \\ BC\cong EF \end{gathered}[/tex]

The correct choice is C.

The Super Discount store is having a sale and all the clearance items are %40 off. Which of the following are correct ways to find the price of an item that is $25.00 normally ?

Answers

The normal price is $25, we need to find the 40% of $25.

40% = 0.4

So if we multiply $25 by 0.4

Other Questions
3) Given the points (6-11) and (-2,9), find the following: a) find the slope between these points, b) find the equation of the line between these points, b) find the y-intercept of this line, c) graph this line. -4(x-1) I forgot how to simplify it To estimate the height of a building, two students find the angle of elevation from a point (at ground levedown the street from the building to the top of the building is 30. From a point that is 400 feet closer tothe building, the angle of elevation (at ground level) to the top of the building is 52. If we assume thatthe street is level, use this information to estimate the height of the building.The height of the building isfeet. Which number is the solution of n/3 = - 12 The mid point between T(-2,6) and J (-5,1) 5. The table shows the amount of money, A, in a savings account after mmonths. Select ALL the equations that represent the relationship betweenthe amount of money, A, and the number of months, m.*number ofmonthsdollaramount51,20061,30071,40081,500 Scientist discovered a species that doesnt have any organelles. what organism could it be?A. GrassB. YeastC. Slime mold D. Bacteria if you have 50.0 ml of a 6.00 m hcl(aq) solution, how much additional solvent, in ml, must you add to obtain a 1.00 m hcl(aq) solution? Determine the number of significant figures in the measurement 77.09 m.Express your answer numerically as an integer. Which statement is true regarding the graphed functions? 8 6 4 -6-5-4-3-2 436 - -6 1979 - 2 -127 (0) = g(0) 1-2) = g(-2) f(0) = g(-2) Imagine two young men who commit an act of vandalism. One of them gets caught and goes to jail, but the other is not identified and goes to college. There is a probability that the one who goes to jail may become a criminal while there is possibly an equal probability that the one who goes to college will have a successful life. What does this suggest about the present system? How could one improve it? PLEASE HELP I GOT LIKE 15 MINUTES LEFTOne small circle is completely inside a larger circle. Both circles share the same center point. Calculate the area of the shaded region. Identify the percent, amount, and base in this problem.What percent of 80 is 40? What figure of speech is "Exploded in delight"?? The length of the base of an isosceles triangle is x. The length of a leg is 2x-3. The perimeter of the triangle is 19. Find x My question is #9 but I am confused if it is true or false A store sells a $400 microscope after a markup of 32%. What is the price of the microscope at the store?O $128O $272O $528O $672 a 25g sample of an unknown gas has a volume of 3.9 l at 25 celsius and 2 atm pressure. it is found to be 7.7% hydrogen and 92.3% carbon. what is its molecular formula How did the explosion of the battleship uss maine hasten the united states going to war?. Which two terms best complete this diagram?