Answer:
156000 [tex](1.12)^{t}[/tex]
156000 [tex](1+.12)^{t}[/tex]
those are both the same
Step-by-step explanation:
All the correct expressions that could be used to calculate the value of the house, in dollars, after t years is,
⇒ [tex]156,000 (1.12)^t[/tex]
Or, ⇒ [tex]156,000 (1 + 0.12)^t[/tex]
What is mean by mathematical expression?Mathematical expression is defined as the collection of the numbers and variables and functions by using operations like addition, subtraction, multiplication, and division is called mathematical expression.
We have to given that;
An investor paid $156,000 for a condominium in Texas in 2008.
And, The value of the homes in the neighborhood have been appreciating by about 12% annually.
Now,
We can formulate;
The value of the house, in dollars, after t years is,
⇒ Amount of house = P (1 + r%)ⁿ
⇒ Amount of house = [tex]156,000 (1 + 0.12)^t[/tex]
⇒ Amount of house = [tex]156,000 (1.12)^t[/tex]
Therefore, We get;
All the correct expressions that could be used to calculate the value of the house, in dollars, after t years is,
⇒ [tex]156,000 (1.12)^t[/tex]
⇒ [tex]156,000 (1 + 0.12)^t[/tex]
Learn more about the mathematical expression visit:
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Sample Response: What were some effects of the fire? What is true about the question you wrote? Check all that apply. I would be able to answer it by doing research. I can write several paragraphs to answer the question. I can answer the question in fewer than four pages.
Answer:
all 3
Step-by-step explanation:
its not right or wrong you can do all 3 if you like
In the diagram below, AB = BC, and mZA = 69º. Find mZBCD.
Answer:
∠ BCD = 111°
Step-by-step explanation:
Since AB = BC then the triangle is isosceles and the 2 base angles are congruent.
∠ ACB = ∠ A = 69°
∠ ACB and ∠ BCD are adjacent angles and sum to 180° , that is
∠ BCD + ∠ ACB = 180°
∠ BCD + 69° = 180° ( subtract 69° from both sides )
∠ BCD = 111°
Solve the following system of equations.
\begin{aligned} -5x+4y &= 3\\\\ x&=2y-15 \end{aligned}
−5x+4y
x
=3
=2y−15
x=?
y=?
Step-by-step explanation:
The first president of the United States was
[tex]\begin{aligned} -5x+4y &= 3\\\\ x&=2y-15 \end{aligned}[/tex]
Answer:
x=9
y=12
Step-by-step explanation:
As an estimation we are told £3 is €4.
Convert €28 to pounds.
Hope this helps
Answer:
£21
€28 = £21
Pls can anyone give me tips for studying when I'm high-school
Answer:
take a break from social media , find a peaceful spot to study ,be engaged , take notes and listen during discussion make use of ur extra time wisely
hope it's helpful
The distance required to stop a car varies directly as the square of its speed.if 250 feet are required to stop a car traveling 60 miles per hour, how many feet are required to stop a car traveling 96miles per hour
Answer:
640 feet.
Step-by-step explanation:
Let d represent the distance required to stop and let s represent the speed of the car.
The distance required to stop varies directly as the square of its speed. In other words:
[tex]d=ks^2[/tex]
Where k is the constant of variation.
250 feet are required to stop a car traveling 60 miles per hour. Substitute:
[tex](250)=k(60)^2[/tex]
Simplify and solve for k:
[tex]\displaystyle 3600k=250\Rightarrow k=\frac{250}{3600}=\frac{25}{360}=\frac{5}{72}[/tex]
So, our equation is:
[tex]\displaystyle d=\frac{5}{72}s^2[/tex]
Then the distance required to stop a car traveling 96 miles per hour will be:
[tex]\displaystyle d=\frac{5}{72}(96)^2=\frac{5}{72}(9216)=640\text{ feet}[/tex]
6 root20+8 root5-5root45
Answer:
Step-by-step explanation:
[tex]6\sqrt{20} + 8\sqrt{5} -5\sqrt{45}[/tex]
[tex]12\sqrt{5} + 8\sqrt{5} -15\sqrt{5}[/tex]
[tex]5\sqrt{5}[/tex]
Answer:
Step-by-step explanation:
I imagine that you are simplifying this, since there is nothing else you can do with it. You are in the section in algebra where you're learning how to simplify radicals. ALWAYS think prime factorization when it comes to numbers. For example, the square root of 5...the prime factorization of 5 is simply 5 * 1. So we know that √5 is as simple as it can be. It would benefit us if we could simplify either of the other 2 radicals down to the same radicand so we could add or subtract them.
The prime factorization of 20 is
20--> 5 * 4
4--> perfect square (2×2). So the simplification of 6√20 is 6×2√5 which is 12√5.
The prime factorization of 45 is
45--> 5 * 9
9--> perfect square (3×3). So the simplification of 5√45 is 5×3√5 which is 15√5.
Put it all together to get
12√5 + 8√5 -15√5 which simplifies to
5√5
Mark 4/9 and -7/9 on a number line.
Answer:
Step-by-step explanation:
4/9 on the number line would be 0.44.
-7/9 on the number line would be -0.77
Help pls I'll give 25 points
Answer:
[tex]\text{C. }60[/tex]
Step-by-step explanation:
Question from image:
"The digits 1, 2, 3, 4, and 5 can be formed to arrange 120 different numbers. How many of these numbers will have the digits 1 and 2 in increasing order? For example, 14352 and 51234 are two such numbers."
Let's start by taking a look with the number 1. There are four possible places 1 could be, because there needs to be space for the 2 after it.
Checkmarks mark where the 1 can be, the x marks where it cannot be.
[tex]\underline{\checkmark}\:\underline{\checkmark}\:\underline{\checkmark}\:\underline{\checkmark}\:\underline{X}[/tex]
Let's start with the first position:
[tex]\underline{\checkmark}\:\underline{\#}\:\underline{\#}\:\underline{\#}\:\underline{\#}[/tex]
There are four places the 2 can be. For each of these four places, we can arrange the remaining 3 digits in [tex]3!=6[/tex] ways. Therefore, there are [tex]4\cdot 6=\boxed{24}[/tex] possible numbers when 1 is the first digit of the number.
Continue this process with the remaining possible positions for 1.
Second position:
[tex]\underline{X}\underline{\checkmark}\:\underline{\#}\:\underline{\#}\:\underline{\#}[/tex]
There are three places the 2 can be, since the 2 must be behind the 1. For each of these three places, the remaining 3 digits can be arranged in [tex]3!=6[/tex] ways. Therefore, there are [tex]3\cdot 6=\boxed{18}[/tex] possible numbers when 1 is the second digit of the number.
The pattern continues. Next there will be 2 places to place the 2. For each of these, there are [tex]3!=6[/tex] ways to rearrange the remaining 3 digits for a total of [tex]2\cdot 6=\boxed{12}[/tex] possible numbers when 1 is the third digit of the number.
Lastly, when 1 is the fourth digit of the number, there is only 1 place the 2 can be. For this one place, there are still [tex]3!=6[/tex] ways to rearrange the remaining three numbers. Therefore, there are [tex]1\cdot 6=\boxed{6}[/tex] possible numbers when 1 is the fourth digit of the number.
Thus, there are [tex]24+18+12+6=\boxed{60}[/tex] numbers that will have the digits 1 and 2 in increasing order, from a set of 120 five-digit numbers created by the digits 1 through 5, where no digit may be repeated.
The ratio of the populations of town A and B is 6:5, while the ratio of the populations of town B and C is 3:4. If the total population of the three towns is 53000, find the population of each town.
Answer:
The population of town A = 18,000
The population of town B = 15,000
The population of town C = 20,000
Step-by-step explanation:
Given;
A:B = 6:5
B:C = 3:4
total population = 53,000
A + B + C = 53,000
[tex]\frac{A}{B} = \frac{6}{5} \\\\A = \frac{6B}{5} \\\\\Also;\\\\\frac{B}{C} = \frac{3}{4} \\\\C = \frac{4B}{3} \\\\then;\\\\\frac{6B}{5} +B+ \frac{4B}{3} = 53,000\\\\multiply \ through \ by \ "15"\\\\18B + 15B + 20B = 795,000\\\\53B = 795,000\\\\B = \frac{795,000}{53} \\\\B = 15,000[/tex]
Now solve for A and C;
[tex]A = \frac{6 \times 15,000}{5} = 18,000\\\\C = \frac{4 \times 15,000}{3} = 20,000[/tex]
Find the degree of the monomial -5a7b4,
Answer:
1
Step-by-step explanation:
Abdi created a factor rainbow for the number 59.
Answer:
59 is prime ... 1 & 59 are the only factors
Step-by-step explanation:
the game. Their scores are shoun below.
Darius and Barb are playing a video game in which the higher score wins
Darius's scores: 96, 54, 120, 87, 123
Barb's scores: 92, 98, 96, 94, 110
Barb says that she is the winner. Darius says that it is a tie. Who is correct?
Answer:
Barb is correct she won by 10 points
Darius's=480
Barb=490
please help it asks: the graph below represents which of the following functions
Does anyone know the answer??
Answer:
175°
Step-by-step explanation:
If angle x = 058° and angle y = 127° then the bearing A from point O is 360 minus angle x plus angle y.
Solution:
360° - (058° + 127°) = 175°
This is because the complete turn from north to north is 360°.
The three angles in a triangle have measures of 55°, 75°, and (2x)°. What is the value of x?
Answer:
x = 25
Step-by-step explanation:
The angles in a triangle add up to 180°, so we can write an equation to model the situation:
55 + 75 + 2x = 180
Now, we can simplify and solve:
130 + 2x = 180
2x = 50
x = 25
Answer:
x = 25
Step-by-step explanation:
The angles in a triangle add up to 180 degrees.
Using this, create an equation:
55 + 75 + 2x = 180
Solve for x:
55 + 75 + 2x = 180
130 + 2x = 180
2x = 50
x = 25
So, x = 25
Please give real answers with explaination. 50 points + I will give brainliest. No Docs/No Files/No Links only answer with explaination.
Answer:
Step-by-step explanation:
That exterior angle is equal to the sum of the remote interiors, specifically:
2x + 3 = 45 + x + 8 and
x = 50
So the angles inside the triangle...we already know one of them is 45. If x = 50, then x + 8 is 50 + 8 = 58. That means that the third angle is 180 - 45 - 58 which is 77.
There is a bag filled with 5 blue and 6 red marbles.
Marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 reds?
thanks,
Answer:
[tex](\frac{6}{11} )*(\frac{6}{11} )[/tex] = 36/121 =.297
Step-by-step explanation:
Answer:
36/121
Step-by-step explanation:
We have 5+6 = 11 marbles
P(red) = number of red/ total = 6/11
We replace the marble so we still have 11 marbles
P(red) = number of red/ total = 6/11
P(red, red) = 6/11*6/11 = 36/121
Help ASAP!!!!!!!!!!!!!!
Student pick 144 oz of strawberry to make strawberry jam how many ounce pounds of strawberry did they pick
Answer:
9 pounds
Step-by-step explanation:
1 lb = 16 ounces
144/16 = 9 pounds
The weight Wkg of a metal bar varies jointly as it's length L and the square of it's diameter D mm. If W=140 when D =4 and L=54, find D interm of W and L
Answer:
D = [tex]\sqrt{\frac{216W}{35L} }[/tex]
Step-by-step explanation:
From the given question, the expression showing the relationship among the weight, length and diameter of the metal bar is;
W [tex]\alpha[/tex] L[tex]D^{2}[/tex]
W = kL[tex]D^{2}[/tex]
where k is the constant of proportionality.
When W = 140, D = 4 and L = 54, then;
140 = k(54)[tex](4)^{2}[/tex]
= 864k
k = [tex]\frac{140}{864}[/tex]
= [tex]\frac{35}{216}[/tex]
k = [tex]\frac{35}{216}[/tex]
⇒ W = [tex]\frac{35LD^{2} }{216}[/tex]
So that;
35L[tex]D^{2}[/tex] = 216W
[tex]D^{2}[/tex] = [tex]\frac{216W}{35L}[/tex]
D = [tex]\sqrt{\frac{216W}{35L} }[/tex]
52 %of U.S. Adults have very little confidence in newspapers. You randomly select 10 U.S. Adults. Find the probability that the number of U.S. Adults who have very little confidence in newspapers is (a) exactly five, (b) at least six, and (c) less than four.
Answer:
a. P(x = 5) = 0.24
b. P(x ≥ 6) = 0.43
c. P(x < 4)= 0.14
Step-by-step explanation:
According to the Question,
Given, 52 %of U.S. Adults have very little confidence in newspapers & We have to randomly select 10 U.S. Adults.⇒We use Binomial Probability Formula
[tex]P(X = x ) = \frac{n!}{x!((n-x)! } * p^{x} * (1-p)^{n-x}[/tex]
Where, p=0.52 & n=10
a. The probability that the number of U.S. adults who have very little confidence in newspapers is exactly five . So, (x=5)
Thus, [tex]P(X = 5 ) = \frac{10!}{5!((10-5)! } * 0.52^{5} * (1-0.52)^{10-5}[/tex]
On Solving Above Equation we get,
P(5)=0.2441 ≈ 0.24
b. The probability that the number of U.S. adults who have very little confidence in newspapers is at least 6 . So, (x≥6)
Then,
P(x≥6) = P(6)+P(7)+P(8)+P(9)+P(10)
P(x≥6) = [tex]\frac{10!}{6!((10-6)! } * 0.52^{6} * (1-0.52)^{10-6}[/tex] + [tex]\frac{10!}{7!((10-7)! } * 0.52^{7} * (1-0.52)^{10-7}[/tex] +[tex]\frac{10!}{8!((10-8)! } * 0.52^{8} * (1-0.52)^{10-8}[/tex] + [tex]\frac{10!}{9!((10-9)! } * 0.52^{9} * (1-0.52)^{10-9}[/tex]+[tex]\frac{10!}{10!((10-10)! } * 0.52^{10} * (1-0.52)^{10-10}[/tex]
On solving above equation we get,
P(x≥6) = 0.4270 ≈ 0.43
c. The probability that the number of U.S. adults who have very little confidence in newspapers is less than 4 . So, (x<4)
Then,
P(x < 4)=P(3) + P(2)+P(1)+P(0)
P(x<4) = [tex]\frac{10!}{3!((10-3)! } * 0.52^{3} * (1-0.52)^{10-3}[/tex] + [tex]\frac{10!}{2!((10-2)! } * 0.52^{2} * (1-0.52)^{10-2}[/tex]+ [tex]\frac{10!}{1!((10-1)! } * 0.52^{1} * (1-0.52)^{10-1}[/tex] + [tex]\frac{10!}{0!((10-0)! } * 0.52^{0} * (1-0.52)^{10-0}[/tex]
On solving we get,
P(x < 4)= 0.1410 ≈ 0.14
I need help pleaseeee
Answer:
A. 70°
Step-by-step explanation:
There are two ways to solve this problem:
(1) The sum of all the angles of a quadrilateral equals 360°.
The equation for this problem would be:
110° + 110° + 70° + m∠A = 360°
Simplify:
290° + m∠A = 360°
m∠A = 70°
(2) Trapezoid ABCD is an isosceles trapezoid, because m∠B and m∠C, opposite angles of the same base of the trapezoid, are congruent.
Therefore m∠A and m∠D must also be congruent.
m∠A = m∠D = 70°
if B lies between A and C on segment AC, then AB = 2AC
• Never
•Sometimes
Never, B is the middle colinear point so it cant measure longer than AC which is the full line segment.
please help i will give brainliest
Step-by-step explanation:
4(2.8*4.5)=50.4
50.4/12= 4.2
4.2 means 5 tins of paint
£52.5 =price
Step-by-step explanation:
i have explained in the paper.
Goodluck
Factorize x2 + 7x + 12 using middle term break method.
Answer:
(x + 4)(x + 3)
Step-by-step explanation:
x^2 + 7x + 12
In Quadratic Factorization using Splitting of Middle Term which is x term is the sum of two factors and product equal to last term. Factor each pair by finding common factors.
so we need two number that gives 12 when multiplied and 7 when added
4 and 3 are the numbers because 4*3 = 12 and 4+3 = 12
=x^2 + (4 + 3)x + 12
=x^2 + 4x + 3x + 12
=x(x + 4) + 3(x + 4)
take (x + 4) as common
=(x + 4) (x*1 + 3*1)
=(x + 4)(x + 3)
The two cross sections shown are taken parallel to their respective bases. The cross sections have the same area. If the heights of the two solids are equal, find the volume of the cylinder. Round your answer to the nearest hundredth. A. 465.10cm3 B. Please select the best answer from the choices provided A B C D
Answer:
489.40 cm³
Step-by-step explanation:
Since the cross section is parallel to their respective bases, hence:
Area of the cylinder cross section = area of the circular base = πr²
where r is the radius of the cylinder base.
Area of other cross section = area of rectangle base = 3.8 cm * 8.1 cm
Since both cross sections have same area, hence:
Area of cylinder cross section = Area of rectangle base
πr² = 8.1 * 3.8
r² = 9.8
r = 3.1 cm
Volume of the cylinder = πr²h = π(3.1)²(15.9) = 489.40 cm³
Which are solutions to the system of equations? Select all that apply
{y=4x
y=4x^2+4x-1
A (1/2,2)
B.(-1/4,-1)
C. (-1/2,-2)
D. (1/4,1)
Answer:
A, C are both solutions
Step-by-step explanation:
B will not work because:
-1 = 4(-1/4)² + 4(-1/4) - 1
-1 = 1/4 - 1 - 1
-1 ≠ -1 3/4
D will not work because:
1 = 4(1/4)² + 4(1/4) - 1
1 = 1/4 + 1 - 1
1 ≠ 1/4
Choose which group of measures would go along with the data set below.
11,13,11,9,8,4,7,7,11,9
1.
Range—4
Mode—8
Median—9
Mean—9
2.
Range—5
Mode—9
Median—7
Mean—7
3.
Range—9
Mode—11
Median—9
Mean—9
4.
Range—12
Mode—8
Median—9
Mean—9
..
What is the answer to this question?