Answer:
$91,500
Step-by-step explanation:
The land appreciates 5% of 30k which is $1,500 and multiply that by 61
The approximate value of the land in 2021 will be $588,394.356.
What is Multiplication?Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.
a × b means that a is added to itself b times or b is added to itself a times.
Value of the land in 1960 = $30,000
Each year, the value is increasing approximately 5 % = 5/100 = 0.05.
Value of the land in 1961 = 30,000 + (30,000 × 0.05)
= 30,000 (1 + 0.05)
= 30,000 × 1.05
Value of the land in 1962 = (30,000 × 1.05) + (30,000 × 1.05 × 0.05)
= (30,000 × 1.05) (1 + 0.05)
= (30,000 × 1.05) (1.05)
= 30,000 × (1.05)²
So each year previous value is multiplied with 1.05.
Value of the land after n years = 30,000 × (1.05)ⁿ
Value of the land after 61 years = 30,000 × (1.05)⁶¹
= 588,394.356
Hence the approximate value of the land in 2021 is $588,394.356.
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5+(8×5)+72÷8 !? what is the answer please
Answer:
54 is the answer
Step-by-step explanation:
5+(8x5)+72/8
5+40+9
54
Three students use pens to write th enams of graduating seniors on thei rdiplomas. One writes 7 names in 6 minutes, another writes 17 names in 10 minuts, and the third writes 23 names in 15 minutes. How long, to the nearest minute, will the students take to the write the names on 440 diplomas if they work together?
Answer:
Total time ≈ 100(nearest minutes)
Step-by-step explanation:
The rates at which each student writes names per minutes can be calculates as follows.
First student
6 minutes = 7 names
1 minute = 7/6 names
second student
10 minutes = 17 names
1 minute = 17/10 names
Third student
15 minutes = 23 names
1 minute = 23/15 names
Total time = 440/total rate
Total time = 440/1.17 + 1.7 + 1.53
Total time = 440/4.403
Total time = 99.931
Total time ≈ 100(nearest minutes)
A pharmacy claims that the average medication costs $32, but it could differ by as much as $8. Write an absolute value inequality to determine the range of medication costs at this pharmacy.
Answer:
| 32 - c | [tex]\leq[/tex] 8
Step-by-step explanation:
c represents the cost of the medication
This absolute value inequality makes sure that the difference is less than or equal to 8, whether or not the medication is $8 more or less than the average.
Answer:[x - 32] <(with line under it) 8
Step-by-step explanation:
two groups of students order cheeseburgers and chicken nuggets at mcdonald’s. one order of 9 cheeseburgers and 4 chicken nuggets cost $22.37. the other order of 3 cheeseburgers and 4 chicken nuggets cost $15.23. find the cost of a cheeseburger
Answer:
$1.19
Step-by-step explanation:
Let the cost of a cheeseburger be $b and that of a chicken nugget be $n.
From the given information, we can form 2 equations.
9b +4n= 22.37 -----(1)
3b +4n= 15.23 -----(2)
Notice that the 2 equations have '4n' in them. I'll be using elimination method to solve the equation by getting rid of the 4n.
(1) -(2):
9b +4n -(3b +4n)= 22.37 -15.23
9b +4n -3b -4n= 7.14
6b= 7.14 (simplify)
b= 7.14 ÷6 (÷6 on both sides)
b= 1.19
Thus, a cheeseburger cost $1.19.
Answer:
Step-by-step explanation
1.19
Can someone please help me I’m stuck I don’t know what
Answer:
x = 7.5
Step-by-step explanation:
Given BE is parallel to CD and intersects the other 2 sides, it divides those sides proportionally, that is
[tex]\frac{AE}{ED}[/tex] = [tex]\frac{AB}{BC}[/tex] , substitute values
[tex]\frac{10}{8}[/tex] = [tex]\frac{x}{6}[/tex] ( cross- multiply )
8x = 60 ( divide both sides by 8 )
x = 7.5
1. X-3.3< 16.2 *
O x<19.5
O x> 19.5
O x< 12.9
O
X > 12.9
Answer:
x <19.5
Step-by-step explanation:
X-3.3< 16.2
Add 3.3 to each side
X-3.3+3.3< 16.2+3.3
x <19.5
If a student with 2 absences got a score of 12 what would be the score for a student who had 3 absences
it’s multi choice please help me out thankyou so much
Answer:
Yes
Step-by-step explanation:
If you look at the angle they're the same which gives you one hint. Then both side lengths are also equal making both triangles congruent.
This follows SAS( Side-Angle-Side)
Answer:
yes is the correct answer
Step-by-step explanation:
Simplify 16-3(8-3)2÷5
Answer:
10/1 = 10
Step-by-step explanation:
1) Subtract: 8 - 3 = 5
2) Multiple: 3 * the result of step No. 1 = 3 * 5 = 15
3) Multiple: the result of step No. 2 * 2 = 15 * 2 = 30
4) Divide: the result of step No. 3 : 5 = 30 : 5 = 6
5) Subtract: 16 - the result of step No. 4 = 16 - 6 = 10
Please help! Correct answer only!
In a carnival game, there is a machine that will shuffle a deck of 50 cards numbered from 1 to 50 and then spit one card out. If the number on the card is odd, you win $15. If the number on the card is even, you win nothing. If you play the game, what is the expected payoff?
$___
Answer:
$1.80
Step-by-step explanation:
(190+120+90+50)/250= a total expected payoff of 1.8 dollars. Hope this helps!
what is the solution of equations graphed below?
A. (2,4)
B. (4,2)
C. (0,6)
D. (6,0)
Answer:
(4,2)
Step-by-step explanation:
The solution to the system is where the two graphs overlap
The two graphs cross at x=4 y =2
(4,2)
Answer & Step-by-step explanation:
To find the solution of equations graphed on a line, the solution is going to be the point where the two lines meet or cross.
So, in the diagram, we can see that the equations do cross at a certain point. This point is (4,2).
So, the solution of the equations graphed is (4,2)
Topic: Probability
Only complete question 7.
Answer:
see below
Step-by-step explanation:
Sari wrote the equivalent ratio below to convert cups to fluid ounces
The answer will be B. 72
Answer:The answer to this problem is 72 fluid ounces
Step-by-step explanation:
How do I figure out how many combinations there are.
Answer:
multiplying and dividing
Step-by-step explanation:
555 times 5
no explanation please
Answer:
2775
Step-by-step explanation:
Solve the equation: −4(+6)=−8
Answer: m=-4
Step-by-step explanation:
The problem we are given is -4(m+6)=-8. We want to solve for m. To do so, we first need to distribute the -4 to m and 6.
-4m-24=-8
Now that we have distributed, we can go ahead and solve for m.
-4m=16
m=-4
Answer: m= -4
step-by-step explanation:
The problem we are given is -4(m+6)=-8. We want to solve for m. To do so, we first need to distribute the -4 to m and 6.
-4m-24=-8
Now that we have distributed, we can go ahead and solve for m.
-4m=16
m=-4
What is an equation example?
An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.
What is an equation easy definition?1: a statement of the equality of two mathematical expressions. 2: an expression representing a chemical reaction by means of chemical symbols.
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The age of father is 4nyears.If the age of his daughter is(2n-9)years.find their total age.
Answer:
4n+(2n-9)
4n+2n-9
6n-9 =the total age
6n=9
divide by 6 both sides.
n=9/6
n=1.5 years.
substitute the value of n in the age of the father and the daughter.
Age of father=4×1.5
6years.
Age of Daughter = (2×1.5)-9
3-9
=-6 years
Total age
6-6=0
Use the vertical line test to determine which graph does not represent a function. On a coordinate plane labeled Graph A, a parabola opens up. On a coordinate plane labeled Graph B, a parabola opens to the right. On a coordinate plane labeled Graph C, a graph decreases, then increases, and then decreases again.
Answer:
b
Step-by-step explanation:
3 x 4 x 5 x m x n = ???????
what does it equal???
The equivalent expression for the given expression is 60mn.
The given expression is 3×4×5×m×n.
Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
Here, 3×4×5×m×n = 60mn
Therefore, the equivalent expression for the given expression is 60mn.
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100 Points competitions and whoever finishes this gets 100 points. (ON THE TOP OF QUESTION 12 IS ANSWERS QUESTION ANSWERS TO QUESTION 11 TOO!)
Answer:
1)25%
2)likely
3)1/4
4)46
5)10%
6)I am so sorry I have no clue
7)1/4 or 1/12
8)1/8 or 1/12
9)80%
10)80%
1/15
Step-by-step explanation:
I hope this helps.
Answer:
1)25%
2)likely
3)1/4
4)46
5)10%
6) second choice
7)1/4 or 1/12
8)1/8 or 1/12
9)80%
10)80%
1/15
Step-by-step explanation:
Help me please I need help!!!!
Answer:
Answer B (proportional)
Step-by-step explanation:
The variable y and x are related by the constant of proportionality "6" in the expression
y = 6 x
Such means that if x adopts whatever value, y is always proportional to that x-value, by the multiplicative factor 6.
y is proportional to x via the proportionality constant (it has to be always a multiplicative constant) "6"
What is the slope of the line that contains the points (-23, -16) and (13, -16)?
Answer:
Use the slope formula to find the slope . m = 0
Step-by-step explanation:
Ans:
3/2. your welcome
Step-by-step explanation:
Suppose $4000 is invested at 6% interest compounded annually. How much money will there be in the bank at the end of 5 years? At the end of 20 years?
Answer: The accumulated amount after 5 years = $ 5352.90
The accumulated amount after 20 years = $ 12828.54
Step-by-step explanation:
Formula to find the accumulated amount after investing P amount at the rate of r ( in decimal) compounded annually for t years:
[tex]A=P(1+r)^t[/tex]
As per given , we have
P = $4,000
r= 6% = 0.06
Put thsese values in formula : [tex]A=4000(1+0.06)^t=4000(1.06)^t[/tex]
The accumulated amount after 5 years = [tex]A(5)=4000(1.06)^5[/tex]
[tex]=4000(1.3382255776)=5352.9023104\\\\\approx5352.90[/tex]
Hence, the accumulated amount after 5 years = $ 5352.90
The accumulated amount after 20 years = [tex]A(20)=4000(1.06)^{20}[/tex]
[tex]=4000(3.20713547221)=12828.5418888\\\\\approx12828.54[/tex]
Hence, the accumulated amount after 20 years = $ 12828.54
Using the compound interest formula, the amount in the bank at the end of 5 years and 20 years would be $5325.90 and $12828.54 respectively
Using the compound interest formula :
[tex] A = P(1 + r)^{t} [/tex] P = principal r = Rate t = timeAfter 5 years :
[tex] A = 4000(1 + 0.06)^{5} [/tex]
Amount after 5 years = $5325.90
After 20 years :
[tex] A = 4000(1 + 0.06)^{20}[/tex]
Amount after 5 years = $12828.54
Hence, the amount accumulated after 20 years will be $12828.54
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An amount was invested at
r%
per quarter. What value of
r
will ensure that accumulated
amount at the end of one year is 1.5 times more than amount invested? Correct to 2 decimal
places
Answer:
10.67% per quarter
42.68% per year
Step-by-step explanation:
The value of r that would be ensure the initial amount gives 1.5 times future value in in one year can be computed using rate formula in excel as below:
=rate(nper,pmt,-pv,fv)
nper is 1 year multiplied 4 quarters=4
pmt is the amount invested periodically and it is zero
Assume that $1000 was invested
FV which is the future value=1.5*$1000=$1,500
PV=$1000
=rate(4,0,-1000,1500)
rate=10.67%
rate per year=10.67% *4
Which part of a cake remains if x/y has been eaten?
The diagram shows a regular pentagon with centre O.
Answer:
56
Step-by-step explanation:
The size of angle x is 54°.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
All the diagonals of a pentagon are equal so, their opposite angles of equal diagonals are also equal.
The angle 'O' is a complete angle
∴ ∠O = 360°
Angle between diagonals =360/5= 72°
The sum of all interior angles of triangle is 180°
x+x+ 72°=180°
2x=180-72
2x=108°
x=54°
Hence, the size of angle x is 54°.
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Rebecca is given two triangles, ABC and DEF. at first glance, she thinks that the triangles are congruent. How can she use what she knows about rotations and triangle congruence to prove the triangle congruence?
Answer:
A
Step-by-step explanation:
If you rotate DEF 180 degrees it will look the same as ABC and the order is angle side angle because the side 5cm is between the 2 angles 57 and 40
If you rotate DEF 180 degrees it will look the same as ABC and the order is an angle side angle.
We have given that,
Rebecca is given two triangles, ABC and DEF.
At first glance, she thinks that the triangles are congruent.
Therefore we have
What is the meaning of rotation?Rotation is circular movement.
A rotation is the movement of something through one complete circle.
The daily rotation of the earth upon its axis.
If you rotate DEF 180 degrees it will look the same as ABC and the order is angle side angle because the side 5cm is between the 2 angles 57 and 40.
Therefore, If you rotate DEF 180 degrees it will look the same as ABC and the order is an angle side angle.
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What is the measure of FIG?
[tex]the \: answer \: is \: 24 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
Complete the missing parts of the table for the following function.
y=(1/6)^x
36,6,36
and btw what episode u on on naruto yah weeb
How do I find the area of this kite?
Answer:
85 square units
Step-by-step explanation:
The area of a kite is half of the product of the diagonals.
The left half of the horizontal diagonal is labeled 5, so the entire horizontal diagonal measures 10.
Now we need to find the length of the vertical diagonal.
The vertical diagonal is made up of two segments. Each segment is a leg in a right triangle. We can use the Pythagorean theorem twice to find the lengths of the two segments of the vertical diagonal.
Upper vertical segment:
a^2 + b^2 = c^2
5^2 + x^2 = [5sqrt(2)]^2
25 + x^2 = 50
x^2 = 25
x = 5
The upper segment of the vertical diagonal has length 5.
Lower vertical segment:
a^2 + b^2 = c^2
5^2 + x^2 = 13^2
25 + x^2 = 169
x^2 = 144
x = 12
The lower segment of the vertical diagonal has length 12.
The length of the vertical diagonal is the sum of the lengths of the two vertical segments:
5 + 12 = 17
The diagonals of the kite measure 1`0 and 17.
area = d1 * d2/2
area = 10 * 17/2 = 170/2 = 85