+ 6% = x (1 + 6%) = x 1,06
with V = value before the increase
V x 1,06 = 265,000
so V = 265,000 : 1,06 = 250,000
The value of the house before the growth in its value was £250,000.
What do we mean by growth?We know that the value of most of the things in this world changes from time to time. When the value of an article is increased, we say that there's a growth in its value.
Growth is determined by the formula,
V = V₀(1+r), where V is the final price, V₀ is the initial price and r is the rate.
How do we solve the given question?We are told that the value of a house increased by 6%, reaching £265,000. We are asked to calculate its initial value.
Since the value has increased, we will use the formula for growth,
with V = £265,000, r = 6%, and V₀ is to be determined.
The formula is: V = V₀(1+r)
or, V₀ = V/(1+r) = 265000/(1 + 6%) = 265000/(1 + 6/100) = 265000/(106/100)
or V₀ = 265000*100/106 = 250000
∴ The initial value of the house is £250,000.
Learn more about Growth at
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Divide the product of 5/7 and -13/25 by the sum of 4/15 and -7/50.
Step-by-step explanation:
From the question above one can put down an expression as;
(5/7 × -13/25) ÷ (4/15 + (-7/50))
-13/35 ÷ 19/150
-13/35 × 150/19
-390/133
what is the value of x
x + 75 + x + 125 = 180
2x = 180-75-125
2x = -20
x = -10
Answer:
A/Q
X+75+x+125=180
=>2x+200=180
=>2x=180-200
=>x=-20/2
Hence,the value of x=-10
The measures of two complementary angles are 4x+6 and 5x+3. Find x.
4x + 6 + 5x + 3 = 90
9x +9 = 90
( Subtract 9 from 9 and 90 )
9x = 81
( Divide 9x and 81 by 9 )
x = 9
Hope this helps.
¿cuanto pesa cada uno de nuestros 3 personajes?
niña+niño niño+perro niña+perro
51kg 46kg 41kg
Resolviendo el sistema de ecuaciones veremos que:
niña = 23kgniño = 28kgperro = 18kg.¿Como resolver el sistema de ecuaciones?
Aqui tenemos el sistema de ecuaciones:
Niña + niño = 51kg
Niño + perro = 46 kg
Niña + perro = 41kg
Para resolver esto, lo primero que debemos hacer es aislar una variable en una de las ecuaciones, por ejemplo, podriamos aislar "perro" en la tercera:
perro = 41kg - niña
Ahora reemplazamos eso en la segunda para obtener:
niño + (41kg - niña) = 46kg
niño - niña = 46kg - 41kg = 5kg
niño = niña + 5kg
Ahora logramos obtener la variable "niño" en terminos de la variable "niña". Podemos reemplazar esto en la primera ecuacion del sistema.
niña + niño = 51kg
niña + (niña + 5kg) = 51kg
2*niña = 51kg - 5kg = 46kg
niña = 46kg/2 = 23kg.
Ahora que sabemos esto, usamos las otras ecuaciones para encontrar el peso del niño y el perro:
niño = niña + 5kg = 23kg + 5kg = 28kg
perro = 41kg - niña = 41kg - 23kg = 18kg.
Sí quieres aprender más sobre sistemas de ecuaciones, puedes leer:
https://brainly.com/question/17174746
A student solved the equation sin2x/cos x = 2, 0 ≤ x ≤ pi, and got pi/2. What was the student's error?
Answer:
Step-by-step explanation:
Albeit cosine is undefined at , this discontinuity is evitable by canceling terms. The expression is equivalent to , which is continuous for all . According to this result, the student did not make a mistake. Answer was correct.
Answer:
See below
Step-by-step explanation:
Since [tex]cos(\frac{\pi}{2})=0[/tex], the denominator will be 0, and the result would be indeterminate.
Do not read on if you do not understand Calculus
However, notice that [tex]\lim_{x \to \frac{\pi}{2}} \frac{sin(2x)}{cos(x)}=2[/tex] by L'Hopital's Rule:
[tex]\lim_{x \to \frac{\pi}{2}} \frac{sin(2x)}{cos(x)}\\\\\frac{2cos(2x)}{-sin(x)}\\ \\\frac{2cos(2(\frac{\pi}{2}))}{-sin(\frac{\pi}{2} )}\\\\\frac{2cos(\pi)}{-1}\\ \\\frac{-2}{-1}\\ \\2[/tex]
5. Consider the following polynomial function.
g(x) = x + 4w2y? - 11wx?
30wx
The following graph represents the function.
62
35
18
He
P12
6 7 8 9 10
-12
-18
-24
-30
-15
-
-54
Find the value of w.
Answer:
w = 1
Step-by-step explanation:
y = [tex]x^{4}[/tex] + 4w²x³ - 11wx² - 30wx
if x = 3 , then y = 0
[tex]3^{4}[/tex] + 4w²( 3 )³ - 11w( 3 )² - 30w( 3 ) = 0
108 w² - 99 w - 90w + 81 = 0 ........ (1)
(1) ÷ 9
12w² - 21w + 9 = 0 ⇒ [tex]w_{1}[/tex] = 1 and [tex]w_{2}[/tex] = [tex]\frac{3}{4}[/tex]
"1" the value for w that match the graph.
w = 1
Solve this expression. 2.2-0.5(0.6x-1.8)
Answer:
3.1 - 0.3x
Step-by-step explanation:
2.2-0.5(0.6x-1.8)
2.2-0.5×0.6x-0.5×(-1.8)
2.2-0.5×0.6x+0.5×1.8
2.2-0.3x+0.5×1.8
2.2-0.3x+0.9
answer: 3.1-0.3x
Angelina wants to prove that vertical angles are congruent. She uses the diagram below to formulate her proof.
Angelina has one step wrong in her proof. The steps of her proof are shown below. Mark the step that is INCORRECT.
A.
Linear pairs of angles are complementary, hence, m∠2 + m∠3 = 90°.
B.
Subtracting m∠3 from both sides of the above equation gives m∠2 = m∠4.
C.
In my proof, I used m∠2 + m∠3 = m∠3 + m∠4 to justify linear pairs.
D.
By definition of congruent angles, ∠2 ≅ ∠4. This will show that ∠2 and ∠4 are veritcal angles.
Answer:
Option (A)
Step-by-step explanation:
Correct proof to prove the vertical angles are congruent :
1). Linear pairs of angles are supplementary.
m∠2 + m∠3 = m∠3 + m∠4
2). By subtracting m∠3 from both the sides of the above equation.
3). By definition of congruent angles, ∠2 ≅ ∠4. This will show that ∠2 and ∠4 are vertical angles.
Therefore, Option (A) is incorrect in which Angelina showed that linear pairs of angles are complementary.
You have just arranged for a $1,760,000 mortgage to finance the purchase of a large tract of land. The mortgage has an APR of 7.6 percent, and it calls for monthly payments over the next 25 years. However, the loan has an eight-year balloon payment, meaning that the loan must be paid off then. How big will the balloon payment be?
Answer:
$1,500,257.38
Step-by-step explanation:
The balloon payment will be the balance on the loan after 8 years worth of payments have been made. The normal payment amount is the value calculated for a 25-year loan. A spreadsheet, financial calculator, or app can simplify this for you. In the attached, we have used the financial functions available on a TI-84 calculator.
The normal monthly payment will be $13,120.94.
After 8 years, the remaining balance will be $1,500,257.38. This is the size of the balloon payment.
4^-3x=4^x-1 solve please
Answer:
x = 1 over 4 ( which is also 0.25 and x=2^-2)
Step-by-step explanation:
4^-3x = 4^x-1
-3x = x - 1
-3x - x = -1
-4x = -1
divide both sides
x = 1 over 4
Order the fractions from least to greatest. 2 9 , 4 5 , 5 18 , 9 16 A) 2 9 , 5 18 , 9 16 , 4 5 B) 5 18 , 2 9 , 4 5 , 9 16 C) 2 9 , 4 5 , 5 18 , 9 16 D) 9 16 , 5 18 , 4 5 , 2 9
Answer:
c
Step-by-step explanation:
the first number of every fraction represents the whole number of the group.
Answer:
C hope it helps
Step-by-step explanation:
hurry pls 1. Kevin ran 4 miles more than Steve ran. The sum of their distances is 26 miles. How far did Steve run? The domain of the solution is {0, 4, 11, 22}.
a. Define your variable.
b. Write algebraic expressions for the distances each person ran.
c. Write an equation that can help you solve the problem.
d. Solve the equation.
e. Check your answer.
98 points
Answer:
steve ran 11 miles.
Step-by-step explanation:
8r+12p-3p
I cant figure thia on out
Answer:
8r + 9p
Step-by-step explanation:
Combine like terms. Like terms are terms with the same variables as well as the same amount of said variable.
In this case, combine 12p with -3p
8r + 12p - 3p
8r + (12p - 3p)
8r + 9p
8r + 9p is your answer.
~
While adding such algebraic expressions, we combine the like terms which contains the same variables infact same degree of variables.
Given expression:
8r + 12p - 3pHere 12p and 3p are like terms because they are having same variable that is p. So, we can compute any operation like hear it's subtraction.
➝ 8r + (12p - 3p)
➝ 8r + 9p
Now no more like terms are there, So the final answer is 8r + 9p. And we are done!
Carry On Learning [tex]![/tex]
Question 4 Part A (5 points):
Carlos started a business growing palm trees in South Florida.
The function t(s) = 3s + 20 represents the
number of palm trees that grew, where s is the
number of seeds he planted.
The function s(d) = 20d represents the number
of seeds he plants per day, where d represents
the number of days.
Write a composite function that represents
how many palm trees Carlos can expect to
grow over a certain number of days.
Answer:
t(d) = 60d + 20
where t(d) is the number of palm trees grown, and d is the number of days
Step-by-step explanation:
Given function:
t(s) = 3s + 20
where:
t(s) = number of palm trees growns = number of seeds plantedGiven function:
s(d) = 20d
where:
s(d) = number of seeds planted per dayd = number of daysTo determine the composite function that represents how many palm trees Carlos can expect to grow over a certain number of days, simply substitute s = 20d into t(s) = 3s + 20:
⇒ t(d) = 3(20d) + 20
⇒ t(d) = 60d + 20
where t(d) is the number of palm trees grown, and d is the number of days.
Express 38.43 as a percent
1
2
3
4
5
6
8
9
10
Which is the graph of y = 3x + 1 - 2?
4
2
2 4 6 8 10 x
-10 -8 -6
6 -1 -2,-
-2-
Answer:
don't you substitute the the x to find y
3/4 divided by 1/5 and explaining please
Answer:
3.75 or 3 3/4
Step-by-step explanation
Ok the denominators aren't the same so were going to make them the same by them changing into the same number.
we can do thins by timesing 5 by 4=20 and 4 timesing by 5=20
So now that the denominators are the same we have to times 1 by 4 since it denominator was times by same thing with 3 except that only get times by 5.
1 x 4=4 and 3 x 5=15 so now our two fractions are 15/20 and 4/20
15 divided by 4=3.75 and there's our answer.
we get the .75 because it is 3 more so 3 4 x3 =12 that's where we get 3 and then there is 3 left and 3/4 of and 3/4=0.75 and then you combined them to make 3.75.
hope it helps have a great afternoon
The graph below represents a rock climbers height as she acends a hill. Part A- The above graph is (circle one) linear/ nonlinear. Part B- Is the above graph a function? Explain.
Answer:
Part A: its linear
Part B: it is a function
Step-by-step explanation:
Measure each angle. Then classify each angle as acute, right, obtuse, or straight.
Answer:
Before solving these, we must know;
· A 90° angle forms a right angle.
· A 180° angle forms a straight angle.
· Any angle greater than a 90° angle is considered an obtuse angle (x > 90 = obtuse).
· Any angle less than a 90° angle is considered an acute angle (x < 90 = acute).
(Use a protractor to measure each angle)Now just eyeing these, I can tell that;
1. Is acute, because it looks like it is smaller than a 90° angle(right angle).
2. Is straight, because it looks fairly like a straight line(which measures 180°).
3. Is obtuse, because it looks greater than a 90° angle(right angle).
4. Is right, because it looks exactly like a 90° angle(right angle).
Steps on how to use a protractor;Align the dot in the center of the protractor(which has labeling measurements of inches/centimetres) with the intersection of the angles. It should be straight on the line of the angle you are measuring.Use the inner-band of the protractor when measuring an angle that is slanted to the right.Use the outer-band of the protractor when measuring an angle that is slanted to the left.i’ll mark brainlest to whoever answers this question first! :)
Answer:
y = -4x - 1
Step-by-step explanation:
Slope-intercept form = y = mx + b with, m = slope, and b = y-intercept
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Answer:
y= -4x-1
Step-by-step explanation:
Which statement correctly compares the function shown on this graph with the function y =5x+5. A. The function shown on the graph has a greater rate of change, but a lower starting point. O B. The function shown on the graph has a greater rate of change and a higher starting point. O C. The function shown on the graph has a smaller rate of change, but a higher starting point D. The function shown on the graph has a smaller rate of change and a lower starting point.
The function shown on the graph has the same rate of change, but a higher starting point
Fine the diagram needed attached.
The rate of change of the line is the slope of the line. The standard equation of a line is expressed as y = mx + b;
m is the rate of change or slopeGiven the equation y = 5x + 5, the rate of change of the expression is 5.
For the given graph, the slope of the graph is expressed as:
(2, 4) and (0, -6)
m = -6-4/0-2
m =-10/-2
m = 5
Hence the rate of change of the graph is 5.
The function shown on the graph has the same rate of change, but a higher starting point
Learn more on slope here: https://brainly.com/question/25980858
Maximo likes to eat cookies for breakfast every day. He eats 2 cookies per day. Three days after opening a box of cookies, there are 6 cookies left on the box. How many cookies were there at the start?
Answer:
There were 12 cookies at the start
Step-by-step explanation:
Since Maximo likes to eat 2 cookies per day, after three days, he would have eaten 6 cookies. There are 6 cookies left after 3 days, so 6(amount he ate) + 6(amount of cookies left) is 12.
An executive wishes to take out a $1,200,000 mortgage. The yearly interest rate on the loan is 1.95% and the loan is for 20 years. Payments will be made monthly. Calculate the total interest payable.
Round your answer to the nearest thousand dollars.
Do NOT round until you have calculated the final answer.
Answer: 6042.23
Step-by-step explanation:
P0=d(1−(1+rk)−Nk)(rk).
We have P0=$1,200,000,r=0.0195,k=12,N=20, so substituting in the numbers into the formula gives
$1,200,000=d(1−(1+0.019512)−20⋅12)(0.019512),
that is,
$1,200,000=198.602327d⟹d=
The total interest payable is $4,68,000.
Given,
An executive wishes to take out a $1,200,000 mortgage.
The yearly interest rate on the loan is 1.95% and the loan is for 20 years.
Payments will be made monthly.
Calculate the total interest payable.
Round your answer to the nearest thousand dollars.
What is simple interest?It is given by:
SI = (P x R x T) / 100
P = principal amount
R = rate
T = time
We have,
P = $1,200,000
R = 1.95%
T = 20 years
SI = (P x R x T) / 100
SI = (1200000 x 1.95 x 20) / 100
SI = (1,200,000 x 195 x 20) / 100 x 100
SI = 120 x 195 x 20
SI = $4,68,000
Thus the total interest payable is $4,68,000.
Learn more about simple interests here:
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implify 7xy + 8x - 5xy - 6x
Answer:
[tex]2x(y+1)[/tex]
Step-by-step explanation:
[tex]7xy+8x-5xy-6x\\\\2xy+2x\\\\2x(y+1)[/tex]
Answer:
2xy+2x
Step-by-step explanation:
In Springville, the probability that a football team goes to the city playoffs is
0.20. The probability that the team goes to the state playoffs, given that the
team goes to the city playoffs, is 0.35.
What is the probability that a randomly selected team from Springville goes to
the city and state playoffs?
O A. 0.15
B. 0.55
O C 0.07
D. 0.70
Using conditional probability, it is found that the probability that a randomly selected team from Springville goes to the city and state playoffs is given by:
C 0.07
What is Conditional Probability?Conditional probability is the probability of one event happening, considering a previous event. The formula is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which:
P(B|A) is the probability of event B happening, given that A happened.[tex]P(A \cap B)[/tex] is the probability of both A and B happening.P(A) is the probability of A happening.In this problem, the events are:
Event A: City playoffs.Event B: State playoffs.The given probabilities are P(A) = 0.2, P(B|A) = 0.35, hence the probability that a randomly selected team from Springville goes to the city and state playoffs is given by:
[tex]P(A \cap B) = P(A)P(B|A) = 0.2(0.35) = 0.07[/tex]
Hence option C is correct.
More can be learned about conditional probability at https://brainly.com/question/14398287
Answer:0.09
Step-by-step explanation:
3 and <4 are supplementary. If the m<3 = 13° what is the measure of <4?
Answer:
Well supplementary means that both the angles add up to 180
We know that the measure of angle 3 is 13 degrees.
The measure of angle 4 is unknown
And the total of angles 3 and 4 are 180.
So you can make an equation
13 + x = 180
Solve for x
x= 167
Measure of angle 4 is 167
m< 4 = 167 degrees
LA
KIUNUL
1
1
1
2.49
2.49
8.99
1
ICE TEA
ICE TEA
CHICKEN, SAND
Rib Sauce
French Fries
CHILI CHEESE DOG
Homemade Coleslaw
(NO BREAD)
(< SEE SERVER>>)
Sub Total
6.49
.69
: 21.15
1. You need to pay 6% tax on your subtotal. How much will
you pay in tax?
2. What is your new total?
M
Answer:
6
Step-by-step explanation:
If Tim had lunch at $50.50 and he gave 20% tip, how much did he spend?
Answer:
Tim spent $60.60 for his lunch.Step-by-step explanation:
The tip is 20% of what he paid for lunch. Hence
tip = 20% of 50.50 = (20/100)*50.50 = 101/100 = $10.10
Total spent
50.50 + 10.10 = $60.60
So hence, Tim spent $60.60 for his lunch.
-----------------------------------------------------------—-----------------------------------------------
Thanks!
Mark me brainliest!
~[tex]FieryAnswererGT[/tex]~
How do you write a half of ten thousandths of an inch?
Answer:
you just did so I don't know what you mean
Step-by-step explanation:
magic
1.5 > 0.75x + 1
what is x
Answer:
2/3 > x
Step-by-step explanation:
0.5 > 0.75x
2/3 > x