Answer:
The total cost is calculated to be $105,000.
Step-by-step explanation:
Here,
The cost of per acre land= $60,000
Jack is willing to purchase= 1 ¾acres = [tex]\frac{4*1+3}{4} =\frac{7}{4}=1.75[/tex] acres
Then,
By unitary method,
The cost of one acre land is $60,000 .
The cost of 1.75 acres is = $[tex]1.75*60,000[/tex]
The total cost of land is =$105,000.
So, Jack has to pay $105,000 to purchase 1.75 acres of land.
To find the total cost of 1 ¾ acres of land purchased at $60,000 per acre, multiply the price by the number of acres. Jack will pay $105,000 for the land.
Jack purchased 1 ¾ acres of land at $60,000 per acre. To calculate the total cost, multiply the price per acre by the total number of acres:
Total Cost = Price per acre x Number of acres
Total Cost = $60,000 x 1.75 = $105,000
90 km is 8% of what distance
1 1/6 • 20 13/24 =? What is the answer to this?
Fifty people were surveyed about their favorite flavor of frozen yogurt. The results of the survey are displayed in the circle graph. How many people prefer banana?
Answer:
2
Step-by-step explanation:
4 divided by 2 equals 2
Answer:
3
Step-by-step explanation:
Ronnie charged his customers a flat fee of $25 to fix computers computers.Then he charge $30 for each hour that he spent fixing the computer. If Ronnie made $175 off of his first customer how many hours did he spend working.
Answer:$200
Step-by-step explanation:
Answer:
7.5 Step-by-step explanation: Ronnie charges $25 plus $20 per hour. This means that he made the following depending on how many hours he spent on it: Hours Dollars 0 25 = 25 + 0(20)=25 1 25+20 = 25 + 1(20)=45 2 25+20+20 = 25 +2 (20)=65 3 25+20+20+20 = 25 +3 (20)=85 4 25+20+20+20+20 = 25 +4 (20)=105 5 25+20+20+20+20+20 = 25 +5 (20)=125 n 25+n(20)=175 To find how many hours he worked for $175 we solve the equation using inverse operations: 25+n(20)=175 25-25+n(20)=175-25 n(20)=150 n= 7.5 hoursGiven f(x)=3x+3, solve for x when f (x) = 6.
Answer:
x=1
Step-by-step explanation:
hello :
3x+3 =6
means : 3x+3-6 =6-6
3x -3 =0
add 3 : 3x = 3 divid by 3 : x=3/3=1
The required simplified value of the x for which the function gives f(x) = 6 is given as x = 1.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given function,
f(x)=3x+3,
Since we have given f(x) = 6, we have to determine the value of x for which the function gives 6,
Now,
f(x)=3x+3
Substitute f(x) = 6
6 =3x + 3
3x = 6 - 3
3x = 3
x = 1
Thus, the required simplified value of the x for which the function gives f(x) = 6 is given as x = 1.
Learn more about simplification here:
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please i need help
Answer:
P = (0,4) Q = (2,0)
Step-by-step explanation:
A city has a population of 250,000 people. Suppose that each year the population grows by 6%. What will the population be after 12 years ?
Answer:
503,049
Step-by-step explanation:
250,000 × 1.06^12 is the formula.
You take the percentage which is 6% and you add 1 to it.
So, you get 1.06
Then you take the 1.06 and raise it to the number of years which is 12.
1.06^12
Then you multiply that number to the base number which is 250,000 and get 503,049.
Hope this helps!
Final answer:
To find the population after 12 years given a 6% annual growth, we apply the exponential growth formula. With an initial population of 250,000, the formula gives approximately 503,054 as the population after 12 years.
Explanation:
To calculate the population of a city after 12 years when it grows by an annual rate of 6%, we utilize the formula for exponential growth, P(t) = P0 * [tex](1 + r)^t[/tex], where P(t) is the population at time t, P0 is the initial population, r is the growth rate, and t is the number of years.
Given:
Initial population P0 = 250,000Growth rate r = 6% or 0.06Time t = 12 yearsThe population after 12 years can be calculated as follows:
P(12) = 250,000 * [tex](1 + 0.06)^{12}[/tex]
P(12) = 250,000 * [tex](1.06)^{12}[/tex]
P(12) ≈ 250,000 * 2.0122
P(12) ≈ 503,054
Therefore, the estimated population after 12 years is approximately 503,054.
Simplify:
{[(16 ÷ 4) × (2 × 6)] ÷ 6} + 4 =
Answer:
12
Step-by-step explanation:
divided 16 by 4 which is 4. then multiply 2 by 6, which is 12. then multiply 4 by 12. Remember to always do ( ) first. 4 by 12 is 48. Then do 48 divided by 6 which is 8. then add 8+4 which is 12.
11. What must be true about p and q if the equation shows equivalent fractions
Answer:
p and q are both equal to 20.
Step-by-step explanation:
40 / 2 = p, so p = 20
100 / 5 = q, so q = 20
Write an expression that is equivalent to the following expression by factoring out the GCF 16y+18m
Answer:
2(8y+9m)
Step-by-step explanation:
Which statements about the factors of the terms in the expression 12x+18xy-24y are true. Select three options
A:the factors common to 12x and 18xy are 1,2,3,6,x,y
B:the factors common to 12x and 18xy are 1,2,3,6,x
C:the factors common to 12x and 24y are 1,2,3,4,6,12
D:the GCF of the expression is 6xy
E: the GCF of the expression is 6
The factors common to 12x and 18xy are 1, 2, 3, 6, and x.
The factors common to 12x and 24y are 1, 2, 3, 4, 6, and 12.
The GCF of the expression is 6.
Answer: Options B, C and E.
Explanation:
Factors are numbers we can increase together to get another number. At the point when we discover the components of at least two numbers, and afterward discover a few variables are the equivalent ("normal"), at that point they are the "basic elements".
These are the factors which are common in the whole expression or are common in any two equations at the time of comparison. The common factor which is the biggest is known as the greatest common factor.
Answer:
B,C,E
Step-by-step explanation:
Can you please help me just need the answer pls.please need help
Answer:
20
Step-by-step explanation:
A line has a slope of -1/7 and passes through (4, -2) and (p, -1) what is the value of p
Answer:
Therefore the value of p is -3.
Step-by-step explanation:
Given a line has a slope of [tex]-\frac{1}{7}[/tex] and passes through (4,-2)and (p,-1)
The slope of a line which passes through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is
[tex]=\frac{y_2-y_1}{x_2-x_1}[/tex]
Here [tex]x_1= 4,y_1=-2, x_2=p[/tex] and [tex]y_2= -1[/tex]
Therefore the slope of the line which passes through the given points is
[tex]=\frac{-1+2}{p-4}[/tex]
According to the problem,
[tex]\frac{-1+2}{p-4}= -\frac{1}{7}[/tex]
[tex]\Leftrightarrow \frac{1}{p-4} =-\frac{1}{7}[/tex]
[tex]\Leftrightarrow p-4=-7[/tex]
[tex]\Leftrightarrow p = -7+4[/tex]
[tex]\Leftrightarrow p = -3[/tex]
Therefore the value of p is -3.
Graph -5x-4=10 help me
This is the graph:
-5x=14
x=-2.8
Immediately after jumping out of a plane, a 65kg skydiver starts to fall towards the
Earth with an acceleration of 9 8ms? Calculate the downwards force on the
skydiver at the instant he leaves the plane (show working):
it's physics not maths don't know how to change it
Answer:637kgms-2
Step-by-step explanation:the force acting on him will be Made X acceleration due to gravity. Then since the mass is 65, multiply it with 9.8, then you will get the force which is 637kgms-2
If f(x) = 3x + 2 and g(x) = x^2– X, find each value.
A. g(36)
B. f(2) + 1
A) g(36) = 1260
B) f(2) + 1 = 9
Solution:
Given that,
[tex]f(x) = 3x + 2\\\\g(x) = x^2-x[/tex]
Find each value
A) g(36)Substitute x = 36 in g(x)
[tex]g(36) = (36)^2 - 36\\\\g(36) = 1296-36\\\\g(36) = 1260[/tex]
B) f(2) + 1Substitute x = 2 in f(x)
[tex]f(2) + 1 = 3(2) + 2 + 1\\\\f(2) + 1 = 6 + 2 + 1\\\\f(2) + 1 = 9[/tex]
Thus the values are found
Final answer:
To solve the functions, substitute the given values into the relevant function. After performing calculations, g(36) is found to be 1260, and f(2) + 1 is calculated to be 9.
Explanation:
To find the values for given functions, we need to substitute the relevant inputs into each function and then perform the necessary calculations.
A. g(36)
Given g(x) = x² \\- x, we substitute x with 36:
g(36) = 36² \\- 36 = 1296 \\- 36 = 1260.
B. f(2) + 1
Given f(x) = 3x + 2, we first find f(2):
f(2) = 3(2) + 2 = 6 + 2 = 8.
Now, we add 1 to f(2):
f(2) + 1 = 8 + 1 = 9.
PLEASE HELP (answer only if you know it) step by step pleaseeeeeeeeeeeeee
Step-by-step explanation:
Given the coordinate of C is (-3,1) and D is (5,6)
The length of a line segment [tex]\bar {AB}[/tex]with endpoint A at [tex](x_1,y_1)[/tex] and endpoint B at [tex](x_2,y_2)[/tex] is = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Here [tex]x_1=-3 ,y_1=1[/tex] and [tex]x_2=5,y_2=6[/tex]
Therefore the length of a line segment [tex]\bar {CD}[/tex] is [tex]\sqrt{(5+3)^2+(6-1)^2}[/tex]
=[tex]\sqrt{89}[/tex] units
=9.43 units
11,647 rounded to the nearest hundred
Answer:
11,600
Step-by-step exp
the 4 in the tens place means the 6 stays the same
Answer:
11,600
Step-by-step explanation:
think of 100... that 1 is in the hundred place. when rounding you look to the number to the right of that place. if that number is less than 5 you dont round up. if the number is 5 or greater you round up. in this case 11,647 the number 6 is in the hundred place. look to the right of it. in this case it is 4. 4 is less than five so you don't round up. your number 11,647 rounded to the hundred place is 11,600.
What is the volume of this figure? Show your calculations.
Answer:
The volume of the figure given is [tex]4000[/tex] cubic units
Step-by-step explanation:
The given figure is in the shape of a Right Square Pyramid.
The volume of a right square pyramid can be calculate by:
Volume of a right square pyramid =
[tex]a^3\frac{h}{3}[/tex]
where 'a' is the length of the base of the pyramid which is equal for all the four side of the base and 'h' is the height of the pyramid which is perpendicular to the base of it.
Given: [tex]a=10[/tex] units
[tex]h=12[/tex] units
Putting the values in the volume of the right square pyramid.
[tex]=10^3\frac{12}{3}\\\\ =10^3*4\\\\=4000[/tex]
The volume of the figure given is [tex]4000[/tex] cubic units
two fifths of twenty
Answer:
8
Step-by-step explanation:
2/5*20= 8
You can use the attachment above ^^
Answer: It would Be 8
Step-by-step explanation:
You would just multiplie
2/5 x 20
So 2x20/5= 40/5
Then simplify to 8
Terry Wade's variable costs for his car
totaled $1,876.88 last year and his fixed
costs totaled $1,685. If he drove 10,846
miles last year, what was his cost per
mile? Round to the nearest cent.
A $0.45
B $0.33
C $0.64
D $0.35
To find Terry Wade's cost per mile, his variable and fixed costs are summed and then divided by the total miles driven, yielding a cost per mile of approximately $0.33.
Explanation:To calculate Terry Wade's cost per mile for using his car, we first need to add together his variable and fixed costs, and then divide this total by the number of miles he drove last year.
This gives us the cost per mile.
Step 1: Add variable and fixed costs.
Variable costs = $1,876.88
Fixed costs = $1,685
Total costs = Variable costs + Fixed costs = $1,876.88 + $1,685 = $3,561.88
Step 2: Divide the total costs by the number of miles driven.
Number of miles driven = 10,846 miles
Cost per mile = Total costs ÷ Number of miles driven = $3,561.88 ÷ 10,846 miles
Cost per mile ≈ $0.328 or rounded to the nearest cent, $0.33.
Therefore, the cost per mile for Terry Wade last year was $0.33, making the correct answer B $0.33.
A cube has side lengths of 4 in.
What is the volume of the cube?
Enter your answer in the box.
Answer:
This would equal 64
Step-by-step explanation:
To find the volume of a cube you multiply the length x width x height.
So in this case this would be 4 x 4 x 4 = 64
This is the easiest shape to find the volume.
If you have any questions feel free to ask in the comments - Mark
Also when you have the chance please mark me brainliest.
What is the quotient? Negative StartFraction 4 over 5 EndFraction divided by 2 Negative 1 and three-fifths Negative two-fifths One-half 1 and three-fifths
Answer:
a
Step-by-step explanation:
The quotient of the given expression is -2/5.
What is quotient?The number we obtain when we divide one number by another is the quotient
Given is the expression as -
- (4/5) ÷ 2
The given expression is -
- (4/5) ÷ 2
- (4/5) x 1/2
- 2/5
Therefore, the quotient of the given expression is -2/5.
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Find the Center and the radius of the circle
x2 + y2 - 6x + 8y- 7 = 0.
Final answer:
The center of the circle is (3, -4) and the radius is approximately 5.66 units.
Explanation:
To find the center and radius of the given circle, we need to rewrite the equation in the standard form of the equation of a circle. The standard form is: (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center of the circle and r is the radius.
So, let's complete the square for both x and y terms in the given equation:
(x^2 - 6x) + (y^2 + 8y) = 7
(x^2 - 6x + 9) + (y^2 + 8y + 16) = 7 + 9 + 16
(x - 3)^2 + (y + 4)^2 = 32
Now we can see that the center of the circle is (3, -4) and the radius is √32 or approximately 5.66 units.
Which expression correctly represents "nine less than the quotient of a number and four, increased by three"?
Answer:9-x/4+3
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
YOU WON'T ANSWER THIS!!!!
Using the exponential function 2x + 3, what is the average rate of change between the values 1 ≤ x ≤ 5?
explain answer step by step
Answer:
7.5
Step-by-step explanation:
The given exponential function is
[tex]f(x) = {2}^{x} + 3[/tex]
The average rate of change over a≤x≤b is given by;
[tex] \frac{f(b) - f(a)}{b - a} [/tex]
This implies that the average rate of change between the values 1 ≤ x ≤ 5 is
[tex] \frac{f(5) - f(1)}{5 - 1} [/tex]
We evaluate to get:
[tex]\frac{ {2}^{5} + 3 - {2}^{1} - 3}{4} = \frac{30}{4} = \frac{15}{2} = 7.5[/tex]
Math, ,,,,,,,,,,,,,,,,,,,,
Answer:
the Answer here is A
Step-by-step explanation:
What is distance formula?
Answer:
d = distance
(x_1, y_1) = coordinates of the first point
(x_2, y_2) = coordinates of the second point
Step-by-step explanation:
Answer:
The distance formula itself is actually derived from the Pythagorean Theorem which is a 2 + b 2 = c 2 {a^2} + {b^2} = {c^2} a2+b2=c2
Step-by-step explanation:
John paid $34 for 2 books and 3 pencils. He paid $36 for 3 books and 2 pencils. How much was each?
Cost of each book is $ 8 and cost of each pencil is $ 6
Solution:
Let "a" be the cost of 1 book
Let "b" be the cost of 1 pencil
John paid $34 for 2 books and 3 pencils
Therefore,
2 books x cost of 1 book + 3 pencil x cost of 1 pencil = 34
[tex]2 \times a + 3 \times b = 34[/tex]
2a + 3b = 34 ----------- eqn 1
He paid $36 for 3 books and 2 pencils
3 books x cost of 1 book + 2 pencil x cost of 1 pencil = 36
[tex]3 \times a + 2 \times b = 36[/tex]
3a + 2b = 36 -------- eqn 2
Let us solve eqn 1 and eqn 2
Multiply eqn 1 by 2
4a + 6b = 68 ---------- eqn 3
Multiply eqn 2 by 3
9a + 6b = 108 --------- eqn 4
Subtract eqn 3 from eqn 4
9a + 6b = 108
4a + 6b = 68
( - ) -------------
5a = 40
a = 8
Substitute a = 8 in eqn 1
2(8) + 3b = 34
16 + 3b = 34
3b = 34 - 16
3b = 18
b = 6
Thus cost of each book is $ 8 and cost of each pencil is $ 6
Valentine's day cards cost 3/4 of dollars Emily has $20 she has to buy 20 cards for her class how much money will she be left with
Answer:
$5
Step-by-step explanation:
3/4 is the same as .75;
.75•20=15
20-15=5