Answer:
$855355.656503296, but we round to $855355.66
Step-by-step explanation:
Set up an equation where f(x)=650000(1.04)^n. The 1.04 represents the growth because if it were just .04 we wouldn't be including the initial value and it would decay. The 650000 is the initial value, and we put 1.04 to the nth power because it represents the amount of years. To plug in seven years, simply do 650000(1.04)^7 in your calculator.
Solve the proportion r/72= 3/9
Answer:
[tex]r=\frac{7}{3}[/tex]
Step-by-step explanation:
When given the equation
[tex]\frac{r}{72} =\frac{3}{9}[/tex]
We must multiply each side by 72 in order to isolate r.
[tex]r =\frac{3}{9}*\frac{7}{1} \\\\r=\frac{21}{9} \\\\r=\frac{7}{3}[/tex]
CAN SOMEONE PLEASE HELP ME ANSWER THIS
If the probability of even is 1/4 that is a quarter. A quarter of 120 is 120/4= 30 times
Which of the following nonlinear inequalities is graphed below?
ANSWER
[tex] \frac{( {x + 3)}^{2} }{16} - \frac{( {y + 4)}^{2} }{36} > 1[/tex]
EXPLANATION
The given non-linear function is a hyperbola with equation:
[tex] \frac{( {x + 3)}^{2} }{16} - \frac{( {y + 4)}^{2} }{36} = 1[/tex]
Since the boundary lines are dashed lines, the inequality should be either < or >.
Since the outer portion is shaded, the inequality is
[tex] \frac{( {x + 3)}^{2} }{16} - \frac{( {y + 4)}^{2} }{36} > 1[/tex]
Given the equation 2X +4/3 Y equals one and Y -9/13 x=9 by what Vector would you multiply the first equation so that combining the two equations would eliminate x
A -9/26
B 9/26
C 1/2
D -9/13
Answer: Option B
B. [tex]\frac{9}{26}[/tex]
Step-by-step explanation:
We have the following equations:
[tex]2x + \frac{4}{3}y = 1[/tex] (1)
[tex]y -\frac{9}{13}x=9[/tex] (2)
Let us call "a" the coefficient of the variable x in the first equation and call "b" the coefficient of the variable x in the second equation.
Then we must multiply the number "a" by a value z such that when adding [tex]az + b[/tex] the result is zero.[tex]a = 2[/tex]
[tex]b = -\frac{9}{13}[/tex]
So
[tex]2z-\frac{9}{13} = 0[/tex]
We solve the equation for z
[tex]2z=\frac{9}{13}[/tex]
[tex]z=\frac{9}{26}[/tex]
The first equation must be multiplied by a value of [tex]\frac{9}{26}[/tex]
Solve the following equation. Then place the correct number in the box provided. x/1.2=15
Answer:
x = 18
Step-by-step explanation:
The equation to solve is:
[tex]\frac{x}{1.2}=15[/tex]
This basically means, "what number" (x), divided by 1.2 would give us 15??
We can cross multiply and simply solve for x:
[tex]\frac{x}{1.2}=15\\x=1.2*15\\x=18[/tex]
Correct answer x = 18
Answer:
x=18
Step-by-step explanation:
x/1.2=15
Multiply each side by 1.2
x/1.2 * 1.2 =15 * 1.2
x = 18
A rectangle has a length of (6x+1) units and a width of (3x+1 units. Express the area of the rectangle as trinomial. Please I really need help and my tutor didn’t help. Please explain the work u did
whenever you have say a multiplication of a binomial or any polynomial, you can simply multiply each term of one by the other's terms, namely
(a+b)*(c+d+e) => a(c+d+e) + b(c+d+e), and then add like-terms.
[tex]\bf \stackrel{length}{(6x+1)}\stackrel{width}{(3x+1)}\implies 6x(3x+1)+1(3x+1)\implies (18x^2+6x)~~+~~(3x+1) \\\\\\ 18x^2+6x+3x+1\implies \stackrel{\textit{adding like-terms}}{18x^2+9x+1}[/tex]
35 Points !
20. Carmen can buy bottles of paint for $2.00 each and boxes of colored pencils for $3.50 each. She can spend no more than $42 on art supplies.
a. Write an inequality that shows how many bottles of paint, x, and boxes of colored pencils, y, Carmen can buy.
b. Name three different solutions to the inequality.
For this case we have to:
x: It is the variable that represents the quantity of paint bottles
y: It is the variable that represents the number of boxes of colored pencils
So, we have:
[tex]2x + 3.50y[/tex]
If you can not spend more than $ 42 then we have:
[tex]2x + 3.50y\leq42[/tex]
Then you can buy 10 boxes of colored pencils and 3 of paint bottles at a cost of $ 41
[tex]2 (3) +3.50 (10)\\6 + 35 = 41[/tex]
You can buy 5 boxes of colored pencils and 12 of paint bottles at a cost of $
[tex]2 (12) +3.50 (5)\\24 + 17.5 = 41.5[/tex]
You can buy 7 boxes of colored pencils and 8 of paint bottles at a cost of $
[tex]2 (8) +3.50 (7)\\16 + 24.5 = 40.5[/tex]
Answer:
[tex]2x + 3.50y\leq42[/tex]
Which of the following is the product of the rational expressions shown below
ANSWER
A.
[tex]\frac{ {x}^{2} - 36}{ {x}^{2} - 9 } [/tex]
EXPLANATION
The rational expression is
[tex] \frac{x + 6}{x + 3} \times \frac{x - 6}{x - 3} [/tex]
Multiply the numerators and the denominators to get:
[tex] \frac{(x + 6)(x - 6)}{(x + 3)(x - 3)} [/tex]
Recall that:
[tex](a + b)(a - b) = {a}^{2} - {b}^{2} [/tex]
We apply this difference of two squares property to get:
[tex] \frac{ {x}^{2} - {6}^{2} }{ {x}^{2} - {3}^{2} } [/tex]
[tex] \frac{ {x}^{2} - 36}{ {x}^{2} - 9 } [/tex]
Answer: Option A
Step-by-step explanation:
You need to multiply the numerator of the first fraction by the numerator of the second fraction and multiply the denominator of the first fraction by de denominator of the second fraction:
[tex]\frac{x+6}{x+3}*\frac{x-6}{x-3}[/tex]
[tex]=\frac{(x+6)(x-6)}{(x+3)(x-3)}[/tex]
By definition we know that:
[tex](a-b)(a+b)=a^2-b^2[/tex]
Therefore, you get:
[tex]=\frac{x^2-6^2}{x^2-3^2}[/tex]
[tex]=\frac{x^2-36}{x^2-9}}[/tex]
Kamal solved an equation as shown below. 3(x-8)=x+2x+7 3x-24=3x+7 -24=7 What is the solution to Kamal’s equation?
Answer:
No solution
Step-by-step explanation:
The given equation is [tex]3(x-8)=x+2x+7[/tex].
Kamal expanded first and simplified the RHS to get: [tex]3x-24=3x+7[/tex]
He then subtracted 3x from both sides of the equation to get: -24=7
Since the last statement is false, it means the given equation is inconsistent.
Hence the equation has no solution.
Answer:Its No Solution i just took the Unit Test.
Step-by-step explanation:
Which quotient is the same as the quotient 4.85÷0.7? 1. 48.5÷7 2. 48.5÷70 3. 485÷0.07 4. 485÷7
Answer:
1. 48.5÷7
Step-by-step explanation:
4.85÷0.7
We can multiply both terms by 10 without changing the division problem
4.85 * 10 = 48.5
.7 * 10 = 7
48.5 ÷ 7 is the same as 4.85 ÷ .7
Is the following relation a function?
Yes
No
Answer:
NO
Step-by-step explanation:
No, it's not a function
One input has more than one output.
Answer:
NoStep-by-step explanation:
A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair.
From the graph for values of -4 < x < 4 we have two values.
Examples:
for x = 0 we have two values -4 and 4
(HELP ASAP PLEASE)
Brenna wrote a business plan for an entrepreneurship class, and now she has to make bound copies. Brenna could use a printer who charges a setup fee of $52 and $5 for every copy printed. Another possibility is to go to the office supply store, where she could pay an up-front fee of $24 and $12 per copy. There is a certain number of copies that makes the two options equivalent in terms of cost. How many copies is that? How much would the copies cost?
For ___ copies, the cost is $ ___ .
Answer:
for four copies the cost is $72
Step-by-step explanation:
52 + 5a = 24 + 12a
28 + 5a = 12a
28 = 7a
a = 4
52 + 20 = 72
for four copies the cost is $72
What is the degrees in arc AE?
Answer:
[tex]\boxed{27^{\circ}}[/tex]
Step-by-step explanation:
BD is a diameter of the circle, so
mDE + mAE + mAB = 180°
63° + mAE + 90° = 180°
mAE + 153° = 180°
mAE = 27°
The measure of arc AE is [tex]\boxed{27^{\circ}}[/tex]
Adante begins to evaluate the expression 3 1/3 x 5 1/4 using the steps below
Answer:
[tex]\frac{35}{2}[/tex]
Step-by-step explanation:
To solve this problem we need to write the mixed fraction as a fractional number, as follows:
[tex]3 1/3 = 3 + \frac{1}{3} = \frac{9+1}{3} = \frac{10}{3}[/tex]
[tex]5 1/4 = 5 + \frac{1}{4} = \frac{20+1}{4} = \frac{21}{4}[/tex]
Then, evaluating the expression:
[tex]\frac{10}{3}[/tex]×[tex]\frac{21}{4}[/tex] = [tex]\frac{210}{12}[/tex] = [tex]\frac{35}{2}[/tex]
What is the value of x , given that the two prisms are similar ?
Answer:
x = 40 units.
Step-by-step explanation:
Corresponding sides of the 2 prisms are in the same ratio , so:
x / 20 = 10 / 5
x/ 20 = 2
x = 2 * 20
x = 40 units.
ANSWER
The correct choice is A.
EXPLANATION
If the the two prisms are similar, then their corresponding sides are in the same proportion;
This implies that
[tex] \frac{x}{20} = \frac{6}{3} [/tex]
We simplify to get;
[tex] \frac{x}{20}=2[/tex]
We now multiply both sides by 20 yo obtain;
[tex] \frac{x}{20} \times 20 = 2 \times 20[/tex]
We simplify and multiply out to get:
[tex]x = 40[/tex]
Therefore the value of x is 40 units
(HELP ASAP PLEASE)
Solve using any method and fill in the blanks.
Lloyd's Bakery sold one customer 9 dozen chocolate cookies and 8 dozen oatmeal cookies for $110. The bakery also sold another customer 9 dozen chocolate cookies and 5 dozen oatmeal cookies for $89. How much do the cookies cost?
A dozen chocolate cookies cost $___ and a dozen oatmeal cookies cost $___
Answer:
A dozen chocolate cookies cost $6
and a dozen oatmeal cookies cost $7
Step-by-step explanation:
Let's assume that cost of 1 dozen chocolate cookies = x
Let's assume that cost of 1 dozen oatmeal cookies = y
then we get equations:
9x+8y=110...(i),
and 9x+5y=89...(ii)
Solve equation (i) for x
9x+8y=110
9x=110-8y
[tex]x=\frac{110-8y}{9}[/tex]...(iii)
plug (iii) into (ii)
9x+5y=89
[tex]9\left(\frac{110-8y}{9}\right)+5y=89[/tex]
[tex]110-8y+5y=89[/tex]
[tex]9\left(\frac{110-8y}{9}\right)+5y=89[/tex]
[tex]110-3y=89[/tex]
[tex]-3y=89-110[/tex]
[tex]-3y=-21[/tex]
[tex]y=7[/tex]
plug y=7 into (iii)
[tex]x=\frac{110-8y}{9}=\frac{110-8(7)}{9}=6[/tex]
So the final answer is given by:
A dozen chocolate cookies cost $6
and a dozen oatmeal cookies cost $7
explain solving systems of equations using substition?
when solving a system of equations the difference between that and elimination is the when you're using the Elimination u have to first multiply the numbers but when substituting it's different unlike the Elimination this is all ik and can u mark me brainliest?
The graph of y = 1/x is vertically stretched by a factor of 3, reflected across the y-axis and shifted to the left by 2 units. What it the function of the resulting graph?
y = 3/(x-2)
y = (-3)/(x+2)
y = 1/(3x-6)
y = (-1)/(3x+6)
y = (-1)/(3x-6)
ANSWER
[tex]y = - \frac{3}{x + 2} [/tex]
EXPLANATION
The given parent function is:
[tex]y = \frac{1}{x} [/tex]
When this function is vertically stretched by a factor of 3, then we have
[tex]y = \frac{3}{x} [/tex]
A reflection across the y-axis transforms the function to;
[tex]y = - \frac{3}{x} [/tex]
When the resulting function is shifted to the left, the transformed function becomes;
[tex]y = - \frac{3}{x + 2} [/tex]
Abigail and her mom are back-to-school shopping at new Navy . Select items are on sale at 43% off their regular price . What is the sale price of an item that has a regular price of $22?
Answer:
$12.54
Step-by-step explanation:
First, you have to apply the sale to the original price. In this case, you would have to multiply 22 and 43% to get $9.46. Now, you have to subtract 9.46 from 22 to get 12.54.
Ken can walk 40 dogs in 8 hours how many dogs can ken walk in 12 hours
Answer:60
Step-by-step explanation:40/8 =5 so that means he can walk 5 dogs per hour and if you times 5 by 12 you get 60 as your answer.
Answer:
Ken can walk 60 dogs in 12 hours.
Step-by-step explanation:
The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them. That is, what is intended with it is to find the fourth term of a proportion knowing the other three. Remember that proportionality is a constant relationship or ratio between different magnitudes.
If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other, the direct rule of three must be applied. To solve a direct rule of three, the following formula must be followed:
a ⇒ b
c ⇒ x
So, [tex]x=\frac{c*b}{a}[/tex]
In this case it is direct magnitudes, so that the three direct rule can be applied as follows: if Ken can walk 40 dogs in 8 hours, how many Ken dogs can he walk in 12 hours?
[tex]number of dogs=\frac{12 hours*40 dogs}{8 hours}[/tex]
number of dogs= 60
So, Ken can walk 60 dogs in 12 hours.
Write the decimals from the least to the greatest on the ladders. Start at the bottom.
8.357, 8.35, 8.361, 8.36
12.310, 12.301, 12.013, 12.130
29
.
Frank Crhoffor Dichlinntinne Inn
For the first one: 8.35, 8.357, 8.36, 8.361
For the second one: 12.013, 12.130, 12.301, 12.310
From least to greatest
What is the correct solution to the expressions 3 + 5^2
Answer:
28
Step-by-step explanation:
3+5^2
3+25
28
Answer:
28
Step-by-step explanation:
5^2=5*5
5*5=25
25+3=28
Given that point X is the incenter of ABCD, what can you conclude about line segments XY, XA, and yz?
A.they are all congruent
B.only XY and XA are congruent
C.only XA an XZ are congruent
D.None of them are congruent
Answer:
A. They are all congruent
Step-by-step explanation:
I can't seem to remember the name right now, but since X is the incenter and all of the segments are perpendicular, they are a certain kind of line segment whose name I can't remember where they are all congruent.
Answer:
A
Step-by-step explanation:
To find the solution to a system of linear equations, Verdita begins by creating equations for the two sets of data points
below
Which equations could Verdita use to represent the data sets?
Data Set A: Y-4x-2
Data Set B: y = x+4
Data Set A -4x-2
Data Set B: y = x-4
Data Set A y = 4x+2
Answer:
y= 4x -2
y= x + 4
Step-by-step explanation:
To find equation for Data set A and B , pick any two points from the table
(-1,-6) and (1,2)
To find equation use y=mx+b
where m is the slope and b is the y intercept
[tex]m= \frac{y_2-y_1}{x_2-x_1} = \frac{2+6}{1+1} = 4[/tex]
Use point slope formula, use (1,2)
y-y1=m(x-x1)
y - 2= 4(x-1)
y-2= 4x-4 (add 2 on both sides)
y= 4x -2
(-2,2) and (0,4)
To find equation use y=mx+b
where m is the slope and b is the y intercept
[tex]m= \frac{y_2-y_1}{x_2-x_1} = \frac{4-2}{0+2} = 1[/tex]
Use point slope formula, use (0,4)
y-y1=m(x-x1)
y - 4= 1(x-0)
y - 4=x (add 4 on both sides)
y= x + 4
29. Find the circumference.
a. 3.14
b. 69.08
c. 121
36
Answer:
b. 69.08Step-by-step explanation:
The formula of a circumference of a circle:
[tex]C=2\pi r[/tex]
r - radius
We have r = 11. Substitute:
[tex]C=2\pi(11)=22\pi[/tex]
[tex]\pi\approx3.14\to C\approx(22)(3.14)=69.08[/tex]
The answer is B.
Hope this helps :)
A 15-m2 wooded area has the following: 30 ferns, 150 grass plants, and 6 oak trees. What is the population density per m2 of each of the above species?
Can someone plz help me
Answer:
See the procedure
Step-by-step explanation:
we know that
To find the population density per m² of each of the above species, divide the amount of each species by the total area
so
Ferns
[tex]\frac{30}{15}=2\frac{ferns}{m^{2}}[/tex]
Grass plants
[tex]\frac{150}{15}=10\frac{grass\ plants}{m^{2}}[/tex]
Oaks Trees
[tex]\frac{6}{15}=0.4\frac{oaks\ trees}{m^{2}}[/tex]
Eduardo's average speed on his commute to work was 55 miles per hour. On the way home, he hit traffic and only averaged
40 miles per hour. If the round trip took him 1.25 hours, which expression represents the distance, in miles, for his trip home
that is missing from the table?
Rate
(mi/h)
55
Time
(h)
Distance
(miles)
55t
Commute to
Work
Commute to
Home
40
Answer:
The answer is 40(1.25 – t) C.
Step-by-step explanation:
That's the answer for e2020 students!!
Answer:
c
Step-by-step explanation:
big brain
which values can be substituted for x in x-4 > 0
Answer: Anything greater than 4. (5, 6, 7, etc.) Which can be represented as x>4
Step-by-step explanation: Solve this as an equation. Draw a line through the inequality line. Add 4 to the 0, so it's now x>4. The x must be greater than 4.
A person drove 36 miles per hour on a trip. If he had driven 48 miles per hour he would have arrived 4 hours earlier. What was the distance the person drove?
Answer:
d = 576
Step-by-step explanation
Think of the two different speeds as belonging to 2 different cars going to the same place, taking the same route and going to the same place.
Let the time traveled by the fast car = t
Let the time traveled by the slower car = t+4
Let the rate of travel of the slow car = 36 mph
Let the rate of travel of the fast car = 48 mph
===========
d = 36*(t + 4)
d = 48 * t
Since the distance is the same, they can be equated.
48t = 36(t + 4) Remove the brackets.
48t = 36t + 144 Subtract 36t from both sides.
48t - 36t = 144 Combine
12t = 144 Divide by 12
t = 144/12
t = 12
Therefore the faster car takes 12 hours to get where it is going.
d = 48 * t
d = 48 * 12
d = 576
A taxi cab charges $0.55 per mile in addition to a $1.75 flat rate fee. Susie has $10 to spend on a taxi cab ride. The taxi driver will not give anyone a ride unless they are going somewhere that is more than 2 hours away. Model Susie's situation with a system of inequalities
Let y equal to
the total fare and x is the mile of taxi ride. So the equation is
Y = 0.55x + 1.75
Since Susie has
$10 to spend for a taxi cab, so he can have
10 = 0.55x +
1.75
X = 15 miles of
taxi ride
So the system of
inequality is
10 < 0.55x +
1.75
X > 2