Answer: $500
Step-by-step explanation:
Hi, since both credit options accumulate the same amount of interest:
1000+125x=1300+110x
Solving for x(number of months)
125x-110x =1300-1000
15x = 300
x =300/15
x= 20 months
Replacing x =25 in one equation:
1000+125x =
1000+125(20)=
1000+2500= $3500
Finally, we have to subtract the amount of the purchase (3000) to the result obtained:
3500-3000=$500
Feel free to ask for more if needed or if you did not understand something.
The equation K = StartFraction one-half EndFractionmv2 represents the energy an object has based on its motion. The kinetic energy, K, is based on the mass of the object, m, and the velocity of the object, v. Lashandra is given K and v for 10 different objects. In order to make solving more efficient, she solves the equation for m : m = m equals StartFraction K Over 2 v squared EndFraction.. After attempting to determine the mass of a few objects, Lashandra realizes there must be something wrong with her formula. What is Lashandra’s error? She should have multiplied by 2 instead of dividing by 2. She should have multiplied by K equals StartFraction one-half EndFraction m v squared. instead of dividing by 2. She should have used the square root to move the squared term to the other side of the equation. She should have squared the K when moving the v2 to the other side of the equation.
Answer:A
Step-by-step explanation:
Answer: Letter A
Step-by-step explanation:
About 3% of the population has a particular genetic mutation. 600 people are randomly selected.
Find the standard deviation for the number of people with the genetic mutation in such groups of 600. Round your answer to three decimal places
Answer:
Standard deviation for the number of people with the genetic mutation = 4.178
Step-by-step explanation:
Explanation:-
Given random sample size 'n' =600
proportion of the Population 'p'=3% or 0.03
Let 'X' be the random variable in binomial distribution
Mean of the binomial distribution
μ = n p
= 600 X 0.03
= 18
Mean of the binomial distribution ' μ ' =18
Standard deviation of the binomial distribution
σ = [tex]\sqrt{npq} = \sqrt{600 X 0.03 X 0.97} = \sqrt{17.46} = 4.178[/tex]
Conclusion:-
Standard deviation for the number of people with the genetic mutation = 4.178
Find the size of angle XYZ.
Give your answer to 1 decimal place.
Z
13 cm
x
Y
4 cm
Answer:
72.9°solution,
[tex]tan \: y \: = \frac{13}{4} \\ y = {tan}^{ - 1} ( \frac{13}{4} ) \\ y = 72.9[/tex]
hope this helps ....
Good luck on your assignment...
By applying trigonometry ratio, the measure of angle XYZ in triangle XYZ, to 1 decimal place is 72.9°.
What are Trigonometric identities ?Trigonometric identities are equations involving the Trigonometric functions that are true for every value of variables involved.
We have given that x=4cm , y=4cm and z=13cm.
By applying trigonometry of tan which is perpendicular upon base i.e. P/B
A triangle would be constructed , base would be z=13cm
and x and y will define the other 2 lines of 4 cm each.
tan Ф = perpendicular/ base,
tan Ф = 13/4
Ф = tan [tex]^{-1}[/tex] (3.25cm)
Ф = 72.9°
Therefore, by applying trigonometry ratio, the measure of angle XYZ in triangle XYZ, to 1 decimal place is 72.9°.
Learn more about trigonometric;
https://brainly.com/question/21286835
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Help please anyone ??
Answer:
x=83
Step-by-step explanation:
97+x=180
x=83
Answer:
∠x = 83°
Step-by-step explanation:
Since ∠x and ∠y are supplementary ∠s so they add up to 180°
So,
∠x + ∠y = 180
Where ∠y = 97°
∠x + 97° = 180
∠x = 180-97
∠x = 83°
Which of the following is equal to 57%?
O A. 35
O B. 53
5.3
D. 15
|25 POINTS| Suppose you have one pyramid with a base that is 10 meters long and 10 meters wide with a slant that is 15 meters. Now, if the length of the base is increased to 15 meters, what is the difference in the surface area between the new pyramid and the old pyramid?
125 meters squared.
525 meters squared.
600 meters squared.
400 meters squared.
Answer:
125 meters squared
Step-by-step explanation:
Surface area of initial pyramid:
A= 10²+4*1/2*10*15= 400 m²Surface area of extended pyramid:
A= 10*15+2*1/2*15*15+2*1/2*10*15= 525 m²The difference is:
525- 400= 125 m²which term best describes the function represented by the graph?
A) Exponential Growth
B) Exponential Decay
C) Linear Decreasing
D) Linear Increasing
Answer:
D
Step-by-step explanation:
Its a straight line, and remember, you ALWAYS read graphs from left to right, so its linear increasing. :)
which expression is equivalent to 2/9 x 3/4
Answer:
0.16666666666667
Step-by-step explanation:
Let me know if this is correct.
Answer:
[tex] \frac{1}{6} [/tex]
Step-by-step explanation:
[tex] \frac{2}{9} \times \frac{3}{4} \\ \\ = \frac{2 \times 3}{9 \times 4} \\ \\ = \frac{6}{36} \\ \\ = \frac{1}{6} \\ [/tex]
Solve the following system of equations. What is one x-value of a solution?
f(x) = x2 + 4x + 10 g(x) = -32x - 40
a. x = 5
b. x = -5
c. x = 6
d. x = 2
Answer:
There is some mistake in the question, because the solutions are x = -1.445 and x = -34.555
Step-by-step explanation:
Given the functions:
f(x) = x² + 4x + 10
g(x) = -32x - 40
we want to find the points at which f(x) = g(x).
x² + 4x + 10 = -32x - 40
x² + 4x + 10 + 32x + 40 = 0
x² + 36x + 50 = 0
Using quadratic formula:
[tex]x = \frac{-b \pm \sqrt{b^2-4(a)(c)}}{2(a)} [/tex]
[tex]x = \frac{-36 \pm \sqrt{36^2-4(1)(50)}}{2(1)} [/tex]
[tex]x = \frac{-36 \pm 33.11}{2} [/tex]
[tex]x_1 = \frac{-36 + 33.11}{2} [/tex]
[tex]x_1 = -1.445 [/tex]
[tex]x_2 = \frac{-36 - 33.11}{2} [/tex]
[tex]x_2 = -34.555[/tex]
The slope-intercept form of the equation of a line that passes through point (-3, 8) is y= -2/3x+6. What is the point-slope
form of the equation for this line?
Answer:he slope-intercept form of the equation of a line that passes through point (–3, 8) is y = –x + 6. What is the point-slope form…
Step-by-step explanation:
RSTU is a parallelogram. Solve for x. ANSWERS: A) –5 B) 10 C) 8 D) 0
Answer:
D) 0
Step-by-step explanation:
In a ║gm, opposite sides are parallel and equal.
So,
RS = UT
=> x+5 = 2x+5
=> 2x-x = 5-5
=> 2x = 0
=> x = 0
Answer:
Step-by-step explanation:
i think 0
You have 24 homework problems for math class. You finish of them during some
extra time in class. If you complete 4 more problems while waiting for the bus, what
fraction of the 24 problems will remain?
دو آدم
8
24
Answer:
Step-by-step explanation:
If you were to complete 4 out of the 24 current homework problems, then I can say that you'd have 5/6 of the problems remaining. This is because 24 divided by 4 is 6, so completing 4 questions counts as completing 1/5 of the total amount of work present. If you want to use whole numbers instead of fractions, you would have completed 4 out of 24 questions and would have 20 remaining
What is 4 square root of 81 to the fifth power in exponential form
Answer:
B is the answer.
Step-by-step explanation:
[tex]x^{\frac{m}{n} } = \sqrt[n]{x^{m} }[/tex]
[tex]\sqrt[4]{81^{5} }[/tex] = [tex]81^{\frac{5}{4} }[/tex]
y=1/20x^2
The directrix of the parabola is:
x=-5
x=5
y=-5
Answer:
it's y=5
Step-by-step explanation:
Answer:
The correct answer is -5 not 5.
PLEASE HELP LOOK AT THE PHOTO I GAVE YOU
Answer:
A, B
Step-by-step explanation:
Point C is greater than 4 because it is at 6.
6 is greater than 4.
Point A is less than Point B, -8 is less than 4.
Solids X and Y are similar.
X has volume of 64 cm3
Y has volume of 729 cm3
The surface area of X is 208 cm2
Work out the surface area of Y.
Answer: 2,369.25 cm3
Step-by-step explanation:
Hi, to answer this question we have to use proportions:
X has volume of 64 cm3 and s surface area of 208 cm2
The proportion is = volume / surface area = 64/208
Y has volume of 729 cm3
Volume / surface area = 729/ s (surface area of y)
64/208 = 729/ s
Solving for s:
s = 729 / (64/208)
s = 2,369.25 cm3
Feel free to ask for more if needed or if you did not understand something.
Which values of a, b, and c represent the answer in simplest form?
9 / 11 divided 5 / 11 = A B/C
a = 1, b = 99, c = 55
a = 1, b = 55, c = 99
a = 1, b = 4, c = 5
a = 1, b = 5, c = 4
Given the figure below, find the values of x and z
Answer:
x=6 the angle =88
z=92
Step-by-step explanation:
find x
92+11x+22=180
114+11x=180
11x=180-114
x=66/11
x=6 the angle is 11(6)+22=66+22=88
find z=
z+88=180
z=180-88=92
I have to complete the proofs and explain each one please help WILL MARK BRAINLIEST
Answer:
Step-by
Q1
PROOF
consider triangle ACT and ARD
CA=CA [GIVEN]
angle 1 = angle 2 [GIVEN]
angle CAT = angle RAD [OPPOSITE ANGLES]
hence ,triangle ACT is congruent to triangle ARD [by SAS]
hence , angle 3 = angle 4 [ by cpct]
Q2
PROOF
consider triangle TSU and TVU
TU =TU [commn]
UV = US [given]
angle TUS = angle TUV [ given]
hence, triangle TSU congruent to TVU [ by SAS]
hence, VT = ST
Q3
PROOF
consider triangle ABC and ADC
AC = AC [ common]
angle ACB = angle ACD [given ]
angle ADC = angle ABC [ 90 degree ]
hence they are congruent [by AAS]
BC = DC [ CPCT]
PLEASE MARK ME AS BRAINLIEST .....IT TOOK THOUSANDS OF HOURS TO TYPE ALL THESE IN COMPUTER
The sum of all digits in the numbers 44, 45, and 46 is 27 because (4+4)+(4+5)+(4+6)=27. Find the sum of digits in the first 25 counting numbers: 1, 2, 3, …, 25.
Answer:
The sum of the digits in the first 25 counting numbers, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, and 25 is 127
Step-by-step explanation:
The question regards the addition of single digits in numbers and asks of the sum of the digits in the first 25 numbers as follows;
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 1 + 0 + 1 + 1 + 1 + 2 + 1 + 3 + 1 + 4 + 1 + 5 + 1 + 6 + 1 + 7 + 1 + 8 + 1 + 9 + 2 + 0 + 2 + 1 + 2 + 2 + 2 + 3 + 2 + 4 + 2 + 5 = 127
The sum of the digits in the first 25 counting numbers, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, and 25 = 127.
Pls help don’t know how to do this one
Answer:
150 m
Step-by-step explanation:
Since we have a dome inscribed in a rectangle, and are given the width of the rectangle, we can,
1. Find the diameter of the circle, which is also 150m
2. Find the length of the rectangle, which is 75m (the length of the rectangle is the same as the radius of the circle)
If we are to find the perimeter of the shaded region, we add the length and half the width of the rectangle. So,
75 + 75 = 150m
Hi, Please i need help with this question. Workings would be deeply appreciated .
A straight line which passes through the point (3,-4) makes intercept 3k and -5k on the x and y axes respectively. Find the value of k
Answer:
k = ⅕
Step-by-step explanation:
The slope-intercept equation for a straight line is
y = mx + b, where
m = the slope and
b = the y-intercept
Data:
(3,4) = a point on the line
(3k,0) = x-intercept
(0,-5k) = y-intercept
Calculations:
1. Slope
m = (y₂ - y₁)/(x₂ - x₁) = (-5k - 0)/(0 - 3k) = -5/(-3) = ⁵/₃
This makes the equation
y = ⁵/₃x - 5k
2. k
Insert the value of the known point: (3,4)
4 = (⁵/₃)(3) - 5k
4 = 5 - 5k
-1 = -5k
k = ⅕
The figure below shows your graph passing through (3,4) with intercepts 3k and -5k on the x- and y-axes respectively .
Raj takes a taxi to the airport. He expects the taxi to travel at an average speed of 60 mph. The distance from Raj's house to the airport is 30 miles. If Raj's taxi actually travels at an average speed of 50 mph, how many more minutes does the journey take than expected?
Answer:
6 minutes more
Step-by-step explanation:
Time = Distance ÷ Speed
Time = 30miles ÷ 60mph
Time = 30mins
Time = 30miles ÷ 50mph
Time = 36mins
36mins - 30mins = 6mins difference
Answer: 6 minutes
Step-by-step explanation:
Time = Distance / speed
When speed is 60 mph
Time = 30/60 = 1/2 hour = 30 minutes
When speed is 50 mph
Time = 30/50 = 3/5 hour = 36 minutes
5x−3−7x = 15−x What is x?
Answer:
x = -18Step-by-step explanation:
[tex]5x - 3 - 7x = 15 - x \\ collect \: like \: terms \: \\ 5x - 7x + x = 15 + 3 \\ - x = 18[/tex]
[tex] \frac{ - x}{ - 1} = \frac{18}{ - 1} \\ x = - 18[/tex]
can any one help. I'll mark brainliest
Answer:
3.5
Step-by-step explanation:
0+1+2+3+4+5+6+7=28
28/8=3.5
Complete the tasks to subtract the polynomials
vertically.
(1.32 +0.412 – 241) – (0.612 + 8 - 181)
What is the additive inverse of the polynomial
being subtracted?
-0.612 + (-8) + (-181)
-0.612 + (-8) + 18+
-0.612 + 8 - 181
0.612 + (-8) + 181
DONE
Answer:
The additive inverse of the polynomial being subtracted is -0.612-8+181
Step-by-step explanation:
Given expression : (1.32 +0.412 – 241) – (0.612 + 8 - 181)
Now the polynomial being subtracted : (0.612 + 8 - 181)
Additive inverse : The number in the set of real numbers that when added to a given number will give zero.
So, Additive inverse of 0.612 = -0.612
Additive inverse of 8 = -8
Additive inverse of -181 = 181
So, The additive inverse of polynomial being subtracted : -0.612-8+181
So, Option B is true
Hence the additive inverse of the polynomial being subtracted is -0.612-8+181
There are 50 children on the school basketball team, 60% of
the children are senior students. 80% of the seniors and 40%
of the juniors stay at the after-school program. How many more seniors than juniors stay at the after-school program?
Answer: 16 more seniors than juniors stay at the after-school program
Step-by-step explanation:
50 * 60% = 50 * .6 = 30
30 * 80% = 30 * .8 = 24
50 - 30 = 20
20 juniors and 30 seniors in total
———————————————
20 * 40% = 20 * .4 = 8
24 - 8 = 16
Answer:
16 more seniors stay after school or
Step-by-step explanation:
50/kids
50 x 60% =! 30/Seniors and 20/Junior30 x80% = 24/ seniors stay after school20 x 40% = 8/ juniors stay after school24 - 8 = 16 more seniorIn 2008 Stokely bought a condo that appreciated at a rate of 4% per year he bought the house for $240,000 he decided to sell it this year how much will he sell it for? What would be the Growth/decay rate, the independent variable, the dependent variable, the domain and range, and the starting point
Answer:
Step-by-step explanation:
Use the compound amount formula: A = P(1 + r)^t, where r is the annual interest rate as a decimal fraction, P is the initial amount of money, and t is the time in years. Then:
A = ($240,000)(1 + 0.04)^12 (that's 12 years past 2008)
= ($240,000)(1.04)^12 = $384,247.73
Growth rate: 4%, or 0.04
Independent variable: time (t)
Dependent variable: appreciated value of the house, A
Domain: [0, 30) (assuming that the house is sold within 30 years)
Range: [$240,000, infinity) (the house will never sell for an infinite price)
In 2010, Rafik bought a house. In 2015, Rafik sold the house to Bianca. He made a 20% profit on the sale. In 2019, Bianca sold the house for £193800. She made a 5% loss. Work out how much Rafik paid for the house in 2010.
Answer:
£170000
Step-by-step explanation:
In 2010, Rafik bought a house. Let us assume Rafik bought the house for $x. In 2015, Rafik sold the house to Bianca and made 20% profit. 20% profit = 20% of x = 0.2 × x = 0.2x. Therefore Rafik sold the house to Bianca at x + 0.2x = 1.2x. Bianca bought the house at 1.2x
The house was sold by Bianca at 5% loss in 2019. 5% loss = 0.05(1.2x) = 0.06x
Therefore the house was sold by Bianca at 1.2x - 0.06x = 1.14x. Since Bianca sold the house at £193800.
⇒ 1.14x = 193800
x = 193800/1.14
x = £170000
Rafik paid £170000 for the house in 2010
help! I’m not sure if it’s c or d thanks!!
Answer:
i think its c
Step-by-step explanation:
d looks even if that makes sense
Answer:
C cannot be represented by a linear function
Step-by-step explanation:
We can draw a line to represent the points, then it would be a linear functions
A,B and D can be represented by a linear function
C is a curve