Answer:
$520
Step-by-step explanation:
1% of x is x times 0.01.
that means 10%of x is x times 0.1.
400 times 0.1 is 40.
40 is 10% of 400.
it was marked up by 30% so we need to times by 3.
40 times 3 is 120.
it was marked up so its addition.
400+120=520
Parallelogram ABCD is a rhombus. Side BC = 5cm and segment AO = 3.8cm
What is the area of ABCD?
What is the length of diagonal BD?
The area of the rhombus ABCD is 24.7 cm².
The length of diagonal BD is 6.5 cm.
What is the area of a rhombus?A rhombus have equal four sides and the diagonals of the rhombus divides it into four equal right triangles. The area of the rhombus is the sum of individual areas of the four right triangles.
The hypotenuse side of the right triangle = side of the rhombus = BC = 5 cm
One of the legs of the right triangle = AO = OC = 3.8 cmLet the second leg of the right triangle = OB = OD = xThe second leg of the right triangle is calculated as follows;
[tex]x^2 + 3.8^2 = 5^2\\\\ x^2 = 5^2 - 3.8^2 \\\\ x^2 = 10.56\\\\ x = \sqrt{10.56} \\\\ x = 3.25 \ cm[/tex]
The area of one right triangle of the rhombus is calculated as follows;
[tex]A = \frac{1}{2} (3.8)(3.25)[/tex]
The area of the rhombus ABCD is calculated as follows;
[tex]A = 4 \times \frac{1}{2} (3.8)(3.25)\\\\ A = 24.7 \ cm^2[/tex]
The length of diagonal BD is calculated as follows;
[tex]BD = OB \ + \ OD\\\\ BD = x \ + \ x\\\\ BD = 3.25 \ cm \ + \ 3.25 \ cm\\\\ BD = 6.5 \ cm[/tex]
Learn more about area of rhombus here: https://brainly.com/question/2456096
A BluRay disc normally costs $22. This week it is on sale for 25% off the original price. How much money is discounted from the original price of the BluRay disc?
Answer:
$7.33
Step-by-step explanation:
22=3/4x
22/.75=22*4/3=29.3333333
$29.33-$22=$7.33
A discounted from the original price of the Blu-ray disc will be $5.5.
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
Cost of a Blu-ray disc = $22
The sale on the cost of a Blu- ray = 25%
Now,
Find the discounted price of a Blu-ray as;
Discounted price = 25% of $22
= 25 x $22 / 100
= $550/100
= $5.5
Thus, A discounted from the original price of the Blu-ray disc will be $5.5.
Learn more about the percentage visit:
https://brainly.com/question/843074
#SPJ2
Find Value of x. The diagram is not to scale.
Answer:
x = 45
Step-by-step explanation:
180 - 106 = 74
74 + 61 = 135
180 - 135 = 45
45 = x
can someone please help me? I really need help
Answer:
x=49
<A=90
<E=147
Step-by-step explanation:
Mort bought his house in 2004 for $279,000. it was recently appraised at $186,000. What is the approximate percent of decrease in value
Answer:
33.3%
Step-by-step explanation:
(279,000 - 186,000) / 279,000 = 0.33333333333
0.33333333333*100= 33.3333333333
Formula used:
[tex]V_{2} -V_{1}[/tex] / [tex]V_{2}[/tex] × 100
V2= 279,000
V1= 186,000
The approximate percentage of the decrease in value of the house is 33.33%.
Purchase price of the house = $279,000
Appraisal cost of the house = $186,000
What is a percentage?The percentage is the value per hundred.
The percent of the decrease in value = (279000-186000)/279000 *100
The percent of the decrease in value =(93000/279000) *100
The percent of the decrease in value =33.33%
Hence, the approximate percentage of the decrease in value of the house is 33.33%.
To get more about percentages visit:
https://brainly.com/question/24304697
Point Z is the incenter of triangle RST. Point Z is the incenter of triangle S R T. Lines are drawn from the points of the triangle to point Z. Lines are drawn from point Z to the sides of the triangle to form right angles and line segments Z A, Z B, and Z C. Angle A S Z is (5 x minus 9) degrees and angle Z S B is 16 degrees. What is the value of x? x = 2 x = 3
9514 1404 393
Answer:
x = 5
Step-by-step explanation:
SZ is the angle bisector of angle S, so ...
∠ASZ = ∠ZSB
5x -9 = 16
5x = 25 . . . . . . add 9
x = 5 . . . . . . . . .divide by 5
Answer:
C
Step-by-step explanation:
mhm
Twice the product of 6 and 5 is three times as great as this number.what is the number
Answer:
The number is 20.
Step-by-step explanation:
The product of 6 and 5 is 30.
Two times the product of 30 is 60.
60 divided by 3 is 20.
The number is 20.
Which of the following is closest to the mean absolute deviation of this
data set: 2.1, 3.5, 4.6, 5.8, 3.9, 4.2, 2.8?
A. 0.89
B. 1.6
C. 3.84
D. 3.9
Answer:
0.89
Step-by-step explanation:
Trust
What is the length of BE?
14 units
17 units
27 units
34 units
Answer:
you have to give is more than that
Step-by-step explanation:
mb 27
Answer:
the length of BE is 27 units
Step-by-step explanation:
What is 5/6 of 1/2 on a number line
Answer:
5/12
Step-by-step explanation:
5/6 of 1/2 is basically 5/6 times 1/12 which is 5/12.
21 and 22 are complementary angles. The measure of Z1 is 45 The measure of Z2 is 3x°. Find the value of x. The figure is not drawn to scale
9514 1404 393
Answer:
x = 15
Step-by-step explanation:
Given:
∠1 + ∠2 = 90°
∠1 = 45°
∠2 = 3x°
Find:
x
Solution:
Using the given values in the given equation, we have ...
45° +3x° = 90°
15 + x = 30 . . . . . . divide by 3°
x = 15 . . . . . . . . . . . subtract 15
Plz someone help me on these 2 questions!! I'm desperate :)
Answer:
Step-by-step explanation:
7. The graph does not touch the x axis and never will
8. Horizontal asymptote is y=-100
Questlon 3 of 10
Which term describes the distance from the center of a circle to any point on
the circle?
A. Diameter
B. Center
C. Circumference
D. Radius
SUBMIT
Radius.
Step-by-step explanation:
Factor the binomial b^2 - 9
Answer:
(b-3)(b+3)
Step-by-step explanation:
b^2+3b-3b-9
Round yo The nearest ten 834,692.
Help me please!!
834,692
If the number is less than 5, you keep the the 90 the same.
If the number is more than 5, the new number would be 834,700.
The answer is
834,690Help me pleas I need help to solv this problem
Answer:
(name) has a pizza. (name) steals (a fracton) of the pizza. How much pizza is left?
Step-by-step explanation:
what is the sum of the fraction
Answer:
d) 72/100
Step-by-step explanation:
the first grid is 42/100 so you add the 3/10 which 3/10 is equal to 30/100 the grid is just simplified. Once you add 42/100 and 30/100 it equals to 72/100. Hope this is helps you !
Answer:
72/100
Step-by-step explanation:
There is 40 whole and 30 whole which equals 70. Plus 2 which is 72 so the answer is 72/100
Animal populations are not capable of unrestricted growth because of limited habitat and food supplies. Under such conditions the population follows a logistic growth model: P(t) = d 1 + ke−ct where c, d, and k are positive constants. For a certain fish population in a small pond d = 1200, k = 11, c = 0.2, and t is measured in years. The fish were introduced into the pond at time t = 0. (a) How many fish were originally put in the pond? 100 Correct: Your answer is correct. fish (b) Find the population after 10, 20, and 30 years. (Round your answers to the nearest whole number.) 10 years 1 Changed: Your submitted answer was incorrect. Your current answer has not been submitted. fish 20 years fish 30 years fish (c) Evaluate P(t) for large values of t. What value does the population approach as t → [infinity]? P(t) =
Answer:
(a) 100 fishes
(b) t = 10: 483 fishes
t = 20: 999 fishes
t = 30: 1168 fishes
(c)
[tex]P(\infty) = 1200[/tex]
Step-by-step explanation:
Given
[tex]P(t) =\frac{d}{1+ke^-{ct}}[/tex]
[tex]d = 1200\\k = 11\\c=0.2[/tex]
Solving (a): Fishes at t = 0
This gives:
[tex]P(0) =\frac{1200}{1+11*e^-{0.2*0}}[/tex]
[tex]P(0) =\frac{1200}{1+11*e^-{0}}[/tex]
[tex]P(0) =\frac{1200}{1+11*1}[/tex]
[tex]P(0) =\frac{1200}{1+11}[/tex]
[tex]P(0) =\frac{1200}{12}[/tex]
[tex]P(0) = 100[/tex]
Solving (a): Fishes at t = 10, 20, 30
[tex]t = 10[/tex]
[tex]P(10) =\frac{1200}{1+11*e^-{0.2*10}} =\frac{1200}{1+11*e^-{2}}\\\\P(10) =\frac{1200}{1+11*0.135}=\frac{1200}{2.485}\\\\P(10) =483[/tex]
[tex]t = 20[/tex]
[tex]P(20) =\frac{1200}{1+11*e^-{0.2*20}} =\frac{1200}{1+11*e^-{4}}\\\\P(20) =\frac{1200}{1+11*0.0183}=\frac{1200}{1.2013}\\\\P(20) =999[/tex]
[tex]t = 30[/tex]
[tex]P(30) =\frac{1200}{1+11*e^-{0.2*30}} =\frac{1200}{1+11*e^-{6}}\\\\P(30) =\frac{1200}{1+11*0.00247}=\frac{1200}{1.0273}\\\\P(30) =1168[/tex]
Solving (c): [tex]\lim_{t \to \infty} P(t)[/tex]
In (b) above.
Notice that as t increases from 10 to 20 to 30, the values of [tex]e^{-ct}[/tex] decreases
This implies that:
[tex]{t \to \infty} = {e^{-ct} \to 0}[/tex]
So:
The value of P(t) for large values is:
[tex]P(\infty) = \frac{1200}{1 + 11 * 0}[/tex]
[tex]P(\infty) = \frac{1200}{1 + 0}[/tex]
[tex]P(\infty) = \frac{1200}{1}[/tex]
[tex]P(\infty) = 1200[/tex]
Find the mean absolute deviation of the set of data. Round your answer to two
decimal places.
3, 1, 5, 4, 8,6
Answer:
4.5 is the mean/average
Step-by-step explanation:
3+1+5+4+8+6=27
27 divided by 6 = 4.5
ANSWER THE QUESTION FOR BRAINLIEST
Answer:
stight line
Step-by-step explanation:
write an expression for b divided by 6
(please only real answers, I am already failing I don't need more bs)
Answer:
Well divided by is basically he slash between the things so it would be
b/6
Step-by-step explanation:
÷ is basically (divided by) and whatever number comes first jsut write it like for example
10 divided by 4
10 / 4
Answer:
b/6
Step-by-step explanation:
dont you think thats a bit easy? B divided by six, b ÷ 6, b goes in the like box when u do long division and 6 is outside
Did I do this right? if I didn't get it right can you help me? Thank you!
Answer:
the only thing is that your dot should be an open circle because 11 is not included in the answer. If it was less than or equal too, you have a closed dot, but since its just less than its an open dot. I like to think of it like if its closed dot its included, and if its an open dot it falls through the hole and is not included. I don't know if that makes sense, but you've got it otherwise.
help me and I’ll give you brainliest
Answer:
50m
Step-by-step explanation:
The triangles are similar, so their sides are in ratio:
BC/BE=AD/ED
j/46=25/23
j=(25/23)(46)=50
find the length of x
help please i need it asap
Step-by-step explanation:
[tex] \frac{6}{4.5} = \frac{4}{x} \\x \times 6 = 4 \times 4.5 \\ x = \frac{4 \times 4.5}{6} \\ x = \frac{18}{6} \\ x = 3[/tex]
#CMIIWsolve for x. (16x + 23)°
Montraie is going to see a movie and is taking his 2 kids. Each movie ticket costs $13
and there are an assortment of snacks available to purchase for $3.50 each. How
much total money would Montraie have to pay for his family if he were to buy 4
snacks for everybody to share? How much would Montraie have to pay if he bought X
snacks for everybody to share?
cost of 4 snacks
Answer: 53
Total cost: 3.50× + 39
The radius of a circle is 1 meter. What is the circle's area?
The area of a rectangle is 144a^8b^4 square units. If the width of the rectangle is 8a²b^2 units, what is the length in units?
A 18a^6b^2 units
B 136a^6b^2 units
C 152a^10b^6 units
D 1152a^10b^6 units
Answer:
A) 18a^6b^2
Step-by-step explanation:
area = width x length
length = area/width
144a^8b^4/8a²b^2 = 18a^6b^2
A circle has a radius of 5 centimeters. What is its area?
Answer:
[tex] \bf \huge 78.5 \: c.m.[/tex]
Step-by-step explanation:
Given that :A circle has a radius of 5 centimeters. to find :What is its area?formulas used :A = πr²where,
A = areaπ = 22/7 r = radiusexplanation :finding the area of circle
⟼ A = πr²
⟼ A = 22/7 × 5²
⟼ A = 22/7 × 5 × 5
⟼ A = 3•14 × 5 × 5
⟼ A = 3•14 × 25
⟼ A = 78•5
∴ the area of circle is 78•5 centimeters
In a survey of 12 people, it was found that an average of $36 was spent on their child's last birthday gift with a standard deviation of $11. Estimate the mean amount people spend on their child's last birthday gift with 80% confidence using the appropriate critical value to three decimal places. Enter your answer as equations or as numbers rounded to four decimal places.
Answer:
(27.3692 ; 44.6308)
Step-by-step explanation:
Mean, xbar = 36
Standard deviation, s = 11
Sample size, n = 12
Tcritical at 0.2, df = 12 - 1 = 11 ; Tcritical = 2.718
Confidence interval :
Xbar ± Margin of error
Margin of Error = Tcritical * s/sqrt(n)
Margin of Error = 2.718 * 11/sqrt(12) = 8.6308
Confidence interval :
Lower boundary : 36 - 8.6308 = 27.3692
Upper boundary : 36 + 8.6308 = 44.6308
(27.3692 ; 44.6308)
