Answer:
$361,223
Step-by-step explanation:
Each year, the value is multiplied by 1+5% = 1.05. After 51 years, it has been multiplied by that factor 51 times, so is now ...
$30,000×1.05^51 ≈ $361,223
Final answer:
To find the approximate value of land purchased for $30,000 in 1960 with a 5% annual increase by 2011, we use the compound interest formula which results in an approximate value of $447,187.25.
Explanation:
To determine the approximate value of land in the year 2011, which was purchased for $30,000 in 1960 with an average annual increase of 5%, we will use the formula for compound interest. This situation can be treated as a compound interest problem where the initial principal is the initial land value, the rate is the annual increase, and the time is the number of years the land has appreciated.
The compound interest formula is [tex]A = P(1 + r/n)^(nt),[/tex] where A is the future value of the investment/loan, including interest, P is the principal investment amount (initial value of land), r is the annual interest rate (annual increase in value), n is the number of times that interest is compounded per year, and t is the time the money is invested or borrowed for, in years.
In this scenario, P is $30,000, r is 0.05 (5% expressed as a decimal), n is 1 since we are compounding annually, and t is 51 (2011 - 1960).
Therefore,
[tex]A = 30,000(1 + 0.05/1)^(1*51).[/tex]
Carrying out the calculation gives us the approximate value of the land in 2011.
[tex]A = 30,000(1.05)^51[/tex]
Approximate value of the land in 2011 = $447,187.25
Which linear equation represents the data given in the table?
A) y = 6x + 6
B) y = 2x + 6
C) y = 6x − 6
D) y = 2x − 6
Answer:
the equation is C: y=6x-6
Answer:
Step-by-step explanation:
(1,0) (2,6)
(6-0)/(2-1)
6/1= 6
y - 0 = 6(x -1)
y = 6x - 6
answer is c
Pleaseeee helppppp me
Answer:
Step-by-step explanation:
Good luck
An international company has 12,700 employees in one country. If this represents 27.1% of the company's employees, how many employees does it have in total?
The international company has 46864 employees in total.
Step-by-step explanation:
Given that,
An international company has 12,700 employees in one country.
And, this 12,700 employees represents 27.1% of the company's employees.
Therefore, the total number of employees can be found by calculating the 100% of the employees.
Let us assume that the total number of the employees be 'x'.
From the x number of employees, 12,700 employees were 27.1%
Now, framing the above statement in the equation form to solve for x :
⇒ 27.1 % of x = 12700
⇒ (27.1 / 100) x = 12700
⇒ 0.271 x = 12700
⇒ x = 12700 / 0.271
⇒ x = 46863.5 (which is approximately 46864 employees)
Therefore, the total number of employees is 46864.
The sum of two numbers is 35.
Three times the larger number is
the same as 4 times the smaller
number. Find the larger number.
(HINT: Let x = larger number;
35 - X=smaller number.)
Answer:
Larger number(x)=20
Step-by-step explanation:
They're saying that the larger number 3 times is EQUAL(the same) to 4 times the smaller number.
The smallest number=35-x.
The larger number= x.
3 times the larger number=3x
4 times the smaller number=4(35-x)
Now, input it into an equation and solve:
3x=4(35-x) Distribute by multiplying 4 with 35 and x.
3x+4x=140-4x+4x Get 140 by itself by adding 4x.
7x/7=140/7 Divide.
x=20
Since x= the larger number, x=20.
To find the larger number when the sum of two numbers is given and the relationship between them is described, we can set up and solve an equation.
Explanation:To solve this problem, we can set up two equations based on the given information. Let x represent the larger number and 35 - x represent the smaller number. According to the problem, we have the equation 3x = 4(35 - x). Solving this equation will give us the value of x, which represents the larger number.
Expanding the equation, we have 3x = 140 - 4x. Combining like terms, we get 7x = 140. Dividing both sides by 7, we find that x = 20. Therefore, the larger number is 20.
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Rewrite the equation B - 7,536 = 2t as a function of t.
Answer:
B = 2t + 7,536
Step-by-step explanation:
B - 7,536 = 2t
Add 7,536 to both sides.
B = 2t + 7,536
Convert each degree measure into radians.
1) -290°
Answer:
-290/180 × pi
-29pi/18
Or, -5.06
What are the steps of adding and subtracting a fraction?
Step-by-step explanation: To add and subtract fractions with the same denominator, or bottom number, place the 2 fractions side by side. Add or subtract the numerators, or the top numbers, and write the result in a new fraction on the top. The bottom number of the answer will be the same as the denominator of the original fractions.
Help please like hurry!!
Answer: 36 square inches
Step-by-step explanation: The trapezoid is divided into three triangles.
The formula for the area of a triangle is 1/2(b*h). Replace the variables with the values in the drawing.
1/2(4*6)
= 1/2(24)
=12
There are 3 triangles, so multiply the area of 1 triangle (which is 12) by 3.
12*3
=36
Label the final answer.
36 square inches
If 1/2 cup of fruit cocktail 13g of sugar, then 1 1/4 cup of fruit cocktail contains how many grams of sugar?
Answer: 32.5g of sugar
Step-by-step explanation:
if 1/2 cup of fruit cocktail is 13g of sugar then half of that, or 1/4 cup is going to be 6.5g of sugar. With that in mind, multiplying our 1/2 by 2 to give us one full cup of fruit cocktail will tell us that there is 26g of sugar in one cup. Adding our 1/4 cup to our whole cup will give us 32.5g of sugar in 1 1/4 cups of fruit cocktail.
Answer: There are 32.5g of sugar in 1 1/4 cup of fruit cocktail.
Step-by-step explanation:
13/2= 6.5
1/4 cups = 6.5g of sugar
6.5x5= 32.5g
Hope this helps!
(5.2x10^-1)(1.5x10^-5)
Answer:
(10^-6) (5.2x1.5 )=10^-6 x 7.8 = 7.8 x10^-6
Step-by-step explanation:
0.000001 x7.8=0.0000078
Anya budgets $194 for commuting to
work each month. She buys a monthly
bus pass for $68 and spends $6 each
time she buys lunch. Which inequality
describes the number of days, d, that
Anya can afford to buy lunch?
Answer:
$68+($6xd) </= $194
Step-by-step explanation:
monthly bus pass plus the amount of days she buys lunch times $6 has to be less than or equal to $194
Linear equation 1+2x=5x+3
Answer:x=-2/3
Step-by-step explanation:
Jada received a $20 dollar iTunes gift card for her birthday. She download 6 songs which each cost $0.97 and 1 app which cost $2.64 how much money js left on jade gift card
Answer:
Step-by-step explanation: 0.97 times 6 to get 5.82
Then 2.64 plus 5.82 to get 8.46
Lastly 20 - 8.46 = 11.54
Suppose you have $300 to invest. One bank offers an annual
simple interest rate of 4.5% for a 3-year investment. Another
bank offers an annual simple interest rate of 6.8% for a 2-year
investment. Which account will earn you more money?
Answer:
$40.50
Step-by-step explanation:
The formula we'll use for this is the simple interest formula, or:
I= P × r × t
Where:
P is the principal amount, which is $300.00.
r equals the interest rate, which 4.5% per year, or as a decimal, 4.5/100=0.045.
t equals time involved, which is 3 years
To find the simple interest, we multiply 300 × 0.045 × 3 to get that the interest is: $40.50
hope this helped! pls give a thanks:)
Brain and Zach went to village grille for lunch. Brian's lunch cost $4 less than 3 times Zach's. The total cost for lunch was $25.How much did each boy spend on lunch?
Answer:
The cost for Zach's lunch is 12, and for Brain's lunch it cost 8.
Step-by-step explanation:
Since, I am sorry, you can answer from here in out. ;)
Zach spent $6 on lunch and Brian spent $19 on lunch.
Explanation:To solve this problem, we need to create an equation based on the given information.
Let's assume Zach's lunch cost x dollars.
According to the problem, Brian's lunch cost $4 less than 3 times Zach's lunch, which can be expressed as 3x - 4 dollars.
The total cost for lunch was $25, so we can write the equation: x + (3x - 4) = 25.
Solving this equation, we find that Zach spent $6 on lunch and Brian spent $19 on lunch.
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What is the value of x?
Answer:
80
Step-by-step explanation:
Please helpppp!!!
Also, please outlne the steps you've used.
Answer:
The correct answer is:
Ken will have run 3 laps and Hamid will have run 4.
Explanation:
To find this, we first find the number of seconds that will have passed when they meet again. We use the LCM, or least common multiple, for this. First we find the prime factorization of each number:
80 = 10(8)
10 = 5(2)
8 = 2(4)
4 = 2(2)
80 = 2(2)(2)(5)(2)
60 = 10(6)
10 = 5(2)
6 = 2(3)
60 = 2(2)(3)(5)
For the LCM, we multiply the common factors by the uncommon. Between the two numbers, the common factors are 2, 2 and 5. This makes the uncommon 2, 2, and 3, and makes our LCM
2(2)(5)(2)(2)(3) = 240
This means every 240 seconds they will both be at the start line.
Since Ken completes a lap in 80 seconds, he completes 240/80 = 3 laps in 240 seconds.
Since Hamid completes a lap in 60 seconds, he completes 240/60 = 4 laps in 240 seconds.
I don't get the question ¯\(°_o)/¯
Answer:
the correct answer is the first option
Step-by-step explanation:
you just need to put the numbers from highest to lowest
dead sea = 1312
lake assal =512
death valley = 282
valdes peninsula = 131
caspian sea = 92
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17. (-3, y) and (1, -7); m = -4
y-y1=m(x-x1) where (x1, y1)=(1, -7)
y+7=-4(x-1)
y+7=-4x+4
y+7=(-4x+4)*4
y+7=-x+16
y=-x+9
-----------------
y=9−x
y−9=−x
−y+9=x
9−y=x
x=9−y
-----------------
x=9−y
y*x=9 put 1 in for x
y=9
The value of [y] in the coordinate (-3, y) through which the line passes is 9 units.
What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
Where -
m is the slope of the line.
c is the y - intercept
Given is a line that passes through the points (-3, y) and (1, -7). The slope of this line is m = -4.
We can write from the above data -
The coordinates through which the line passes are → (-3, y) and (1, -7)
Now, the general equation of line -
y = mx + c
So -
- 7 = -4 x 1 + c
- 7 = -4 x 1 + c
- 7 = - 4 + c
c = - 7 + 4
c = - 3
Therefore, we can write, for coordinate (-3, y) as -
y = -4 x -3 - 3
y = 12 - 3
y = 9
The value of [y] will be 9 units.
Therefore, the value of [y] in the coordinate (-3, y) is 9 units.
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If x=36 and Y=4, how many of the following are rational numbers?
Answer:
2 of them
Step-by-step explanation:
sqr root xy and the sqr rt x/y
For problem 2, f(2) =
A. 8
B. 16
C. 124
Hello! Remember you have to write complete question in order to get good and exact answers. Here you haven't provided any function, so I'll help you providing this one:
[tex]f(x)=3x^2+5x-6[/tex]
So [tex]f(2)[/tex] means that you need to evaluate the function when [tex]x=2[/tex]. In other words:
[tex]f(2)=3(2)^2+5(2)-6 \\ \\ f(2)=3(4)+10-6 \\ \\ f(2)=12+12-6 \\ \\ \boxed{f(2)=16}[/tex]
In this context:
Correct option is B. 16
8 yo the power of 2 ÷4×(2+3)-9
A contractor purchases 4 dozen pairs of padded work gloves for $56.16. He incorrectly calculates the unit price as $14.04 per pair for the expense report. What is the correct unit price? What is the error?
Answer:
$1.17 per glove
Step-by-step explanation:
56.16 divided by 4 then divide that number by 12
4x - 5y = 14
If y = 2, what value of x satisfies the given equation?
A) 6
B) 8
C) 10
D) 24
Answer:
A
Step-by-step explanation:
Given
4x - 5y = 14 ← substitute y = 2 into the equation and solve for x
4x - 5(2) = 14, that is
4x - 10 = 14 ( add 10 to both sides )
4x = 24 ( divide both sides by 4 )
x = 6 → A
A circle has a circumference of 150 meters. What is the measure of its radius? Round
to the nearest tenth.
circumferend
What is the measure of its radius?
Answer:
R = 23.9
Step-by-step explanation:
formula for circles circumfrence is, C = 2*3.14*R
in this one we have to work backwards so we plug wut we have.
150 = 2* 3.14*R
we divide 150 by 2 so it will be
75 = 3.14R
now we divide 75 by pi so wwe get
23.8732414638 = R
Now we round it to nearest tenth
R = 23.9
When solving this system of equations by elimination, which could be the resulting equation when a variable has been eliminated?
3x - 2y = 10
5x + y = 4
Answer:
Step-by-step explanation:
3x-2y=10
5x+y=4
15x-10y=50
15x+3y=12
-13y=38
y=-38/13
Substitute for y
x=54/39
Find the sine and cosine for each angle shown (30°, 45°, 60°, and 90%). Round off to 5 decimal places, if necessary.
sin(30) =
sin(45) =
sin(60°) =
sin(90°) =
cos(30°) =
cos(45°) =
cos(60°) =
cos(90°) =
Answer:
sin(30) = 1/2
sin(45) = sqrt(2)/2 -> 0.70711
sin(60) = sqrt(3)/2 -> 0.8660
sin(90) = 1
cos(30) = sqrt(3)/2 -> 0.8660
cos(45) = sqrt(2)/2 -> 0.70711
cos(60) = 1/2
cos(90) = 0
Answer:
Step-by-step explanation:
sin30=1/2=0.5
sin 45=(√2)/2=1.41421356237/2=0.70710678...=0.70711
sin 60=(√3)/2=1.73205080757/2=0.86603
sin 90=0
cos30 =(√3)/2=0.86603
co 45=(√2)/2=0.70711
cos 60=1/2=0.5
cos 90=0
Write down the square number between 26 and 63 that is odd?
Ans is 49.
If we multiply 7*7 then we can get 49 as result.49 is the square number of 7.
HOPE THIS WILL HELP U..✌
The square number between 26 and 63 that is odd will be 49.
What is the number pattern?A number pattern is a pattern in a series of numbers that represents the common relationship between the numbers.
The number is between 26 and 63.
26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63
From the given numbers,
49 is the square number between 26 and 63 which is odd.
Here, 7 × 7 = 49
Therefore, the square number between 26 and 63 is 49
odd is 49 as 7 × 7 = 49.
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The diagram shows a sector of a circle of radius 6 units, formed from an angle of size 305°.
Find the exact length of the arc.
3050
The length of the arc is 31.92 units
Explanation:
Given that the sector of a circle of radius 6 units.
The angle is given by [tex]\theta=305^{\circ}[/tex]
Arc length of the circle:
The arc length of the circle can be determined using the formula,
[tex]\ {arc\ length}=2 \pi r\left(\frac{\theta}{360}\right)[/tex]
where r = 6 and [tex]\theta=305^{\circ}[/tex]
Substituting the values, we have,
[tex]\ {arc\ length}=2 \pi (6)\left(\frac{305}{360}\right)[/tex]
Multiplying the numerator, we have,
[tex]\ {arc\ length}=\frac{3660 \pi}{360}[/tex]
Substituting [tex]\pi=3.14[/tex], we have,
[tex]\ {arc\ length}=\frac{3660(3.14)}{360}[/tex]
Multiplying the terms, we get,
[tex]\ {arc\ length}=\frac{11492.4}{360}[/tex]
Dividing, we get,
[tex]\ {arc\ length}=31.92 \ units[/tex]
Thus, the arc length of the circle is 31.92 units
A factory sells backpacks for $35 each. The cost to make 1 backpack is $15. In addition to the cost of making backpacks, the factory has operating expenses of $11,000 per week. The factory's goal is to make a profit of at least $7,800 per week. Write and solve an inequality that represents the number of backpacks, x, that need to be sold? *
Answer:9400 backpacks
[tex]\geq[/tex]Step-by-step explanation
since the number of packs to be sold in a is represented by x,
selling price for 1 week = 35x
cost price for 1 week = 15x
profit = 35x-15x = 20x
additional cost of production = 11,000
this implies that 20x - 11,000 [tex]\geq[/tex] 7800
20x - 11,000 [tex]\geq[/tex] 7,800
20x [tex]\geq[/tex] 7800+ 11000
20x [tex]\geq[/tex] 18,800
x [tex]\geq[/tex] 18800/2
x [tex]\geq[/tex] 9,400
at least 9,400 packs have to be sold each week to make a profit of $7800