Answer:
Step-by-step explanation:
FV = PV ( 1 + i)^n i = decimal interest per period(year) n = periods(years)
FV = future value PV = present value (deposit or loan amount)
FV = 4500 ( 1 + .05)^2
FV = 4500(1.05)^2 = 4961.25 subtract the orginal deposit which means 461.25 interest paid at 2 yrs
Of the 200 cows in the herd, five-eighths grazed in the field. The rest slept near the barn. How many grazed in the field and how many were sleeping near the barn?
Answer:
125 barn 75 sleeping
Step-by-step explanation:
5/8 of 200 cows
of means multiply
5/8 x 200 = 1000/8 = 125
125 cows grazing
200-125 = rest of cows
75 = rest of cows sleeping
What is the product of 6 square root 3 and 3 square root 6 in simplest radical form
Answer:
54√2
Step-by-step explanation:
6√3 × 3√6 =
( 6 × 3 ) × [tex]\sqrt{3*6}[/tex] =
18√18 = 18√(2×9) =
18 ( √2 × √9 ) =
(18 × 3)√2 = 54√2
The product of 6 square root 3 and 3 square root 6 in the simplest radical form will be 54 square root 2.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that the two terms are 6√3 and 3√6.
We have to find the product of the given terms,
Radical notation is the term for an expression that employs a root, such as the square or cube root.
=6√3 × 3√6
=( 6 × 3 )√( 6 × 3 )
=18√18
= 18√(2×9)
=18 ( √2 × √9 )
=(18 × 3)√2
= 54√2
54√2 is the term shown in the radical form.
Thus, the product of 6 square root 3 and 3 square root 6 in the simplest radical form will be square root 54.
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please help like i really need it
Answer:
145 degrees.
Step-by-step explanation:
It is 180 minus 35 because they always have to equal 180 so I subtracted 180 by 35
HELP PLEASE <3
What is the area of the circle with the equation 2x2 + 2y2 = 8?
show work pls !!
Answer:
4pi
Step-by-step explanation:
Divide through by two to get
x^2 + y^2 = 4 4 = radius squared radius = 2
area = pi r^2 = 4 pi
Answer: 4π
Step-by-step explanation:
Under the assumption that those are exponents, and your equation is:
[tex]2x^2+2y^2=8[/tex]
You first must turn this circle equation into standard form. The standard form for the equation of a circle is as follows:
[tex](x-a)^2+(y-b)^2=r^2[/tex]
For your case, the constants 'a' and 'b' are clearly zero. We have an annoying coefficient of 2 which can be cancelled by dividing both sides by 2:
[tex]x^2+y^2=4[/tex]
If you'd like, we can write this in the following way:
[tex](x-0)^2+(y-0)^2=2^2[/tex]
So, our circle is centered at the origin (0, 0) and has a radius of 2 units. The area of a circle is given by the formula:
[tex]A=\pi r^2[/tex]
[tex]A=\pi (2^2)=4\pi[/tex]
Calculate the constant difference
1,2,3
1
Step-by-step explanation:
Seeing its an arithmetic sequence
T1=1......T2=2.....T3=3
To get your constant difference
T2=T1 is also equals to T3=T2
so 3-2=1 and 2-1=1
therefore the constant difference is 1
determine if - 2r + 6r^5 + sr is a polynomial or not. if it is a polynomial, state the type and degree of the polynomial
The polynomial, - 2r + 6r^5 + sr is a trinomial.
The degree of the polynomial is 5.
What is a Polynomial?A polynomial can be defined as an algebraic expression that consists of constants, variables, and positive exponents.
The degree of a polynomial is dependent on the highest exponent value carried by any of the terms. Also, the number of terms a polynomial has determines what type of polynomial it is.
Given the polynomial, - 2r + 6r^5 + sr:
It has three terms, therefore, it is a trinomial.
The degree of the polynomial is 5.
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Please help me it’s due today
Answer:
Northside
Median: 36
Range: 32
IQR: 17
Southside:
Median: 39
Range: 38
IQR: 22
Step-by-step explanation:
Northside first
Order the ages from least to greatest
24, 28, 32, 32, 32, 36, 41, 44, 49, 49, 56
Median is 36 since it's in the middle
Subtract the greatest number from the smallest number to find the range (56-24) = 32
To find the IQR you need the ages least to greatest
24, 28, 32, 32, 32, 36, 41, 44, 49, 49, 56
Find the lower quarter = 32
Find the upper quarter = 49
Subtract 49 and 32 (49-32) = 17
Southside
The Median is the line at the middle of the box, in this case its between 38 and 40 which is 39.
The range is 61 - 23 = 38 (Greatest - least)
The IQR is 52 - 30 = 22
Hope this helps!
Ex. 3 A printing press prints 120 sheets in 3 min . ( 1) Express the printing as a rate. ( 2) How many sheets are printed in 1 h? (3) How long will it take to print 1000 sheets?
Answer:
a 40 sheets/min
b 2400 sheets
c25mins
Step-by-step explanation:
a
120/3=40 sheets /min
b
40*60=2400
c
1000/40=25
Answer:
1) 40 sheets/minute 2) 2400 3) 25 minutes
Step-by-step explanation:
Find the perimeter of each figure. 6 cm 2 cm 2 cm 6 cm
Answer:
That's not full question
What are the period and amplitude
of the function?
period T; amplitude : 1.5
•
period T; amplitude
3
•
period : z; amplitude : 1.5
O period
~; amplitude : 3
Answer:
period is pie/2 and amplitude is 3
the meaning of amplitude is on the photo
Is the inequality below true or false, if m
m+9
True
False
Please help with algebra
Answer:
54%
Step-by-step explanation:
Helppp plssssss!!!!!!
1) Not Congruent
2) Congruent
3) Congruent
4)Congruent
Solve 3x2 = -12x - 15.
Ox= -4 + 2i
Ox=-4+1
Ox=-2 + 2i
Ox= -2
Answer:
x = -2 - i, -2 + i.
Step-by-step explanation:
3x2 = -12x - 15
3x^2 + 12x + 15 = 0
Divide through by 3:
x^2 + 4x + 5 = 0
x^2 + 4x = -5
Completing the square:
x^2 + 4x + 4 = -5 + 4
(x + 2)^2 = -1
x + 2 = √-1 = i
x = -2 - i, -2 + i.
Please Help Me!
Milk is on sale for 40% off when it is normally $3.75 per gallon. How much will a gallon of milk cost?
The discounted price for milk is $_____(Round to the nearest cent.)
Answer:
$2.25 is the discounted price for each gallon.
Step-by-step explanation:
So you take 40% and convert it into decimal form, which is 0.4. Then you take $3.75 x 0.4 = 1.5. Then subtract $1.50 from $3.75, and that equals $2.25 each gallon.
Have a nice day!
9 1/10 - 4 3/4
Help please
Answer:
[tex]4\frac{7}{20}[/tex]
Hope This Helps! :)
Answer:
[tex]4\frac{7}{20}[/tex]
Step-by-step explanation:
[tex]9\frac{1}{10}-4\frac{3}{4}[/tex]
Convert in improper fractions:
[tex]\frac{10*9+1 }{10} -\frac{4*4+3}{4}\\\\\frac{90+1}{10}-\frac{16+3}{4}\\\\\frac{91}{10}-\frac{19}{4} < ==find\ the\ LCM\ or\ the\ common\ denominator\ for\ 10\ and\ 4\ (20)\\\\\frac{182}{20} -\frac{95}{20}\\\\ \frac{87}{20} < ==convert\ to\ a\ mixed\ fraction\\\\ 4\frac{7}{20}[/tex]
Multiples of 4:
4, 8, 12, 16, 20, 24, 28, 32, 36, 40
Multiples of 10:
10, 20, 30, 40
LCM of 4 and 10 is 20.
Hope this helps!
Given the regular polygon ABCDEF with side lengths of 16 km, find the area of the shaded region. Round your answer to the nearest tenth.
The hexagon surface area is the amount of space on it
The surface area of the hexagon is 665.11 square centimeters
How to determine the surface area?The question is incomplete, as the diagram is not given.
So, I will calculate the surface area of the hexagon.
The side length of the hexagon is given as:
L = 16 km
The surface area of the hexagon is calculated using:
A = 1.5[tex]\sqrt3[/tex]L^2
This gives
A = 1.5 * [tex]\sqrt3[/tex] * 16^2
Evaluate the product
A = 665.11
Hence, the surface area of the hexagon is 665.11 square centimeters
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A study of a population of 1,200 tigers revealed that 6 out of every 150 tigers in the
population are albino. Based on the results of this study, how many tigers in the population
are NOT albino?
========================================================
Explanation:
6/150 = 0.04 = 4% of the population are albino.
That leaves 100% - 4% = 96% that aren't albino.
96% of 1200 = 0.96*1200 = 1152
------------
Another way to look at it:
4% of the population are albino, so there are 0.04*1200 = 48 albino tigers.
This means there are 1200-48 = 1152 non-albino tigers.
Find the H.C.F and L.C.M. of the following.
（a）336,22,4
Answer:
hcf=2 lcm=3696
Step-by-step explanation:
What is the multiplier for a 58% decrease
Answer:
A. 0.58
Step-by-step explanation:
A) tan
B) tan^2
C) 1
D) -1
Answer:
A) [tex]\tan \theta[/tex]
Step-by-step explanation:
[tex] \frac{\sin \theta}{ \sqrt{1 - { \sin}^{2} \theta } } \\ \\ = \frac{\sin \theta}{ \sqrt{ { \cos}^{2} \theta } } \\ \\= \frac{\sin \theta}{{ { \cos} \theta } } \\ \\ = \tan \theta[/tex]
what is the expanded form of 812004?
8,00,000 + 10,000 + 2,000 + 4
Eight Lack Twelve Thousand And Four
INTERNATIONAL SYSTEM800,000 + 10,000 + 2,000 + 4
Eight Hundred And Twelve Thousand And Four
hope this is the expected answer!!,if it is correct/satisfying then PLS mark Brainlist(: !!HAVE A NICE TIME!! :)(: !!STAY SAFE!! :)it math questions: true or false!
Answer:
1 true 2true 3false 4true 5 true
Answer:
1: True 2: False 3: True 4: True 5: False
What is the domain of the function graphed below?
Answer:
The second option
Step-by-step explanation:
Hello!
The domain of a graph is the interval in which the graph is on the x values.
This graph has all the x values that are greater than or equal to -3, as the graph is to the right of it.
The answer would be the second option: [tex]D : x/x \geq -3[/tex]
The range is the y-values of the graph. The y value of this graph is above 0, so it would be y ≥ 0
A box of Cheerios is 2 inches wide, 8 inches long, and 12 inches high. The box is half empty. What is the
volume of Cheerios left in the box?
HELPPP
Answer: 96
Step-by-step explanation: formula for volume is lwh. 2 times 8 times 12 equals 192. divide that by 2 because there is only half left.
A horse-drawn carriage tour company has found that the number of people that take their tour depends on the price charged per customer. The more the company charges for a tour, the fewer people decide to take the tour.
The function c(x)=50+5x represents price charged per customer where x is the number of $5 increases they charge over a rate of $50 per person.
The function p(x)=100−2x represents the number of customers expected for the day, where x is the number of $5 increases they charge over a rate of $50 per person.
What does (p⋅c)(2) mean about the horse-drawn carriage tour company?
The horse-drawn carriage tour company can expect to take in $3760 when the charge per customer is $40.
The horse-drawn carriage tour company can expect to take in $5760 when the charge per customer is $60.
The horse-drawn carriage tour company can expect to take in $5760 when the charge per customer is $40.
The horse-drawn carriage tour company can expect to take in $3760 when the charge per customer is $60.
Answer:
B. The horse-drawn carriage tour company can expect to take in $5760 when the charge per customer is $60.
Step-by-step explanation:
We have,
The function representing the price charged by the customers is .
The function representing the number of customers is .
Then, the product of the functions is given by,
Substituting x = 2 in the above product gives,
Also, the charge per customer when x = 2 is,
Hence, the product (p-c)(2) represents,
B. The horse-drawn carriage tour company can expect to take in $5760 when the charge per customer is $60.
Answer:
The horse-drawn carriage tour company can expect to take in $5760 when the charge per customer is $60.
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP *67 points*
If it didn't have that piece cut out on the bottom, it would be a rectangle that's 9cm wide and 5cm high. Its area would be 9x5= 45 cm².
But that piece is cut out of the bottom. The cut-out piece is 3cm wide and 3cm high, so its area is 3x3= 9 cm².
9 cm² have been cut out of the 45 cm² of the complete big rectangle. So the remaining area of the figure is 45 - 9 = 36 cm² .
Which of the following are solutions to the inequality below? Select all that apply.
4 ≥
r
Answer:
r=1
Step-by-step explanation:
1 is lower than for. The sign also suggests that its could be 4 as well
Simplify
chapter name:rationalization of surds
[tex] \frac{ \sqrt{6} }{ \sqrt{2} \times \sqrt{2} } [/tex]
[tex] \frac{ \sqrt{6} }{2 \sqrt{2}} [/tex]
[tex]\frak{\fcolorbox{black}{pink}{Black Pink in your area$~$}}[/tex] ~←(>▽<)ﾉ
Answer:
Step-by-step explanation:
Find the area of each circle with the given radius or diameter. Use 3.14 for pi.
Answer: (Note*: Radius is half of the diameter, so the d = 2 and d = 12 have been converted into radius's instead to solve the problem).
r^2 = 4 in: 50.24 in^2.
r^2 = 2 in: 12.56 in^2.
d = 2 or r^2 = 1 in: 3.14 in^2.
r^2 = 8 in: 200.96 in^2.
d = 12 or r^2 = 6 in: 113.04 in^2.
Step-by-step explanation: To find the area of a circle, you need the radius squared times pi, which is 3.14. The following is solved below:
4^2 x 3.14 = 50.24 in^2.
2^2 x 3.14 = 12.56 in^2.
1^2 x 3.14 = 3.14 in^2.
8^2 x 3.14 = 200.96 in^2.
6^2 x 3.14 = 113.04 in^2.
Therefore, the following above are the answers you need.
Let me know if this is right! :)
Answer:
r = 4.) 50.24
r = 2.) 12.56
d = 2.) 3.14
r = 8.) 200.96
d = 12.) 113.04
Step-by-step explanation:
The formula for finding the area of a circle would be π(pi) x r (radius)²
1.) r = 4
4 x 4 = 16
16 x 3.14 = 50.24
2.) r = 2
2 x 2 = 4
4 x 3.14 = 12.56
3.) d = 2
2 ÷ 2 = 1
1 x 1 = 1
1 x 3.14 = 3.14
4.) r = 8
8 x 8 = 64
64 x 3.14 = 200.96
5.) d = 12
12 ÷ 2 = 6
6 x 6 = 36
36 x 3.14 = 113.04
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