Answer:
C. $452115.44
Step-by-step explanation:
To solve this, we will follow the steps below;
first write down the formula for compound interest
A= P [ 1 + [tex]\frac{r}{n}[/tex]]^nt
where A is the ending amount
P represent the principal
r represent the interest rate
n represent the number of compounding a year
t represent the time {in years)
from he question above
p= $318 000
r = 0.071
n = 4 since is quarterly
t= 5
we can now proceed to insert the values into the formula
A= P [ 1 + [tex]\frac{r}{n}[/tex]]^nt
=318 000 [1+[tex]\frac{0.071}{4}[/tex]] ^4(5)
= $318 000 [1+[tex]\frac{0.071}{4}[/tex]] ^20
=$318 000 [1+0.01775] ^20
= $318 000 [1.01775] ^20
=$318 000× 1.421747
≈$452 115.44
He will have $452 115.44 in the account
I'll send a screenshot of the problem. I'd really like an answer, please do your best!
Answer:
a). $(725 - 22t)
b). $99
Step-by-step explanation:
Expense account of the school has balance after 't' weeks = $(450 - 70t)
And fundraising account has the balance = $(275 + 48t)
a). Total amount in both the accounts after 't' weeks
= $(450 - 70t) + $(275 + 48t)
= $(450 + 275) + $(-70t + 48t)
= $(725 - 22t)
b). Total amount after 8 weeks
= $(725 - 22×8)
= $(275 - 176)
= $99
Please answer correctly !! Will mark brainliest !!!!!!!!!
Answer:
6 seconds
Step-by-step explanation:
h(x) = 0 m , when the ball is on the ground.
h(x) = - (x-2)² + 16
0 = - (x-2)² + 16
(x-2)² = 16
√(x-2)² = +/- √16
(x-2) = 4 , (x-2) = - 4
x - 2 = 4 , x = -2
x = 6
We can use only positive solution.
Mark is making concrete. Concrete is made by mixing cement, sand and gravel in the ratio 1:2:3. Mark wants to make 600kg of concrete. How much sand does Mark need
Answer:
200 kg
Step-by-step explanation:
To satisfy the ratio 1:2:3, Mark must use 100 kg cement, 200 kg sand, and 300 kg gravel
Answer:
6 kg
Step-by-step explanation:
Melanie’s bedroom floor is rectangular in shape and has a width equal to 8x−6 and a length equal to 7x−3. What equation represents the area of the floor?
Select one or more:
a. A=56x2+66x+18
b. A=56x2+18x+18
c. A=56x2−66x+18
d. A=56x2−18x+18
Answer:
C
Step-by-step explanation:
Since the area of a rectangle is the width multiplied by the length, the area of this one would be:
[tex](8x-6)(7x-3)= \\\\56x^2-42x-24x+18=\\\\56x^2-66x+18[/tex]
Therefore, the correct answer is choice C. Hope this helps!
Ix
Which expression is equivalent to 6-(-8)?
-6+8
-6+(-8)
6+(-8)
6 + 8
Answer:
6 + 8
Step-by-step explanation:
6-(-8)= 6+8
What is the solution to the system of equations graphed below?
y= 3/2x+2
y=-6x+ 32
Answer:
(4,8)
Step-by-step explanation:
The solution is where the two lines intersect.
The graphs intersect at x=4 and y = 8
(4,8)
Answer: B: (4,8)
Step-by-step explanation:
y = 3x +2 you will go to positive to on the graph and go up 3 and to the right two because it is positive until you can't no more.
y = -6x + 32
you will go to +32 on the graph and then go down six and since there is no number under -6 you will replace it with one so it will look like this -6x/1
An aeroplane covers a distance of 1500km in a certain time at a certain speed.After increasing the speed by 100km/hr, it covers the same distance in a time which is half an hour less than the previous time. Find the previous speed of the aeroplane.
this is from quadratic equations CBSE grade 10
please answer ASAP
Answer: U = 600 m/s
Step-by-step explanation:
Given that an aeroplane covers a distance of 1500km in a certain time t at a certain speed U.
After increasing the speed by 100km/hr, that is, V = U + 100 it covers the same distance in a time which is half an hour less than the previous time. That is t2 = t - 0.5.
From the first statement
Speed = distance/ time
Distance = speed × time
1500 = Ut
Make t the subject of the formula
t = 1500/U ..... (1)
From the second statement
Distance = speed × time
1500 = (U + 100) × ( t - 0.5 )
Open the bracket
1500 = Ut - 0.5U + 100t - 50
Collect the like terms
1550 = Ut - 0.5U + 100t .... (2)
Substitutes equation 1 into 2
1550 = 1500U/U - 0.5U + 100(1500/U)
1550 = 1500 - 0.5U + 150000/U
1550 - 1500 = (150000 - 0.5U^2)/U
Cross multiply
50U = 150000 - 0.5U^2
0.5U^2 + 50U - 150000 = 0
Divide all by 0.5
U^2 + 100U - 300000 = 0
Using completing the square method
U^2 + 100U = 300000
U^2 + 100U + 50^2 = 300000 + 50^2
(U + 50)^2 = 302500
U + 50 = sqrt(302500)
U + 50 = +/-(550)
U = 50 + 550 or 50 - 550
U = 600 or - 500
Since U is of the same direction, it is
positive. Therefore, the previous speed of the aeroplane is 600 m/s
Answer:
500km/hr
Step-by-step explanation:
The formula for Speed (km/hr) = Distance / Time
Where S = Speed
D = Distance
T = Time
S = D/T
From the question, the aeroplane covered a distance of 1500 km
S = 1500/ T
ST = 1500
Time taken( T ) = 1500/S ......... Equation 1
We are told from the question that speed was increases by 100km/hr, it covers the same distance in a time which is half an hour less than the previous time
This is expressed mathematically as:
The new speed =S + 100km/hr
The new Time taken = 1500/ S - 1/2....... Equation 2
Also since Time = Distance / Speed
The new Time taken also = 1500/ S + 100 ......... Equation 3
Step 1
We would simplify Equation 2:
Time = 1500/S - 1/2
Find the Lowest common multiple = 2
Time = (2 × 1500 - S )/ 2S
Time = 3000 - S / 2S ......... Equation 4
Step 2
Equate Equation 4 and 3 together since they are both equal to time taken
1500/ S + 100 = 3000 - S / 2S
We cross multiply
2S × 1500 = (S + 100) ( 3000 - S)
3000S = 3000S - S² + 300000 - 100S
3000S - 3000S + S² - 300000 + 100S = 0
S² + 100S - 300000 = 0
Step 3
We solve for S = Speed by using factorisation method.
S² + 100x - 300000 = 0
S² - 500S + 600S - 300000 = 0
(S² - 500S) + (600S - 300000) = 0
S(S - 500) + 600(S - 500) = 0
(S - 500) (S + 600) = 0
S - 500 = 0, S = 500
S + 600 = 0 , S = -600
Our answer cannot be in negative form, hence, the previous speed of the aeroplane = 500km/hr
EASY question for y’all mathy people. Easy points! Question in photo!
Answer:
B 1/7^2
D 7^-10 / 7^-8
Step-by-step explanation:
7^-2
We know that a^-2 = 1/a^2
1/7^2 = 1/49
We also know that anything with a power of 2 in the denominator is good
7^-8 / 7^-10 = 7^2
7^-10 / 7^-8 = 7^-2 = 1/7^2 = 1/69 that is the second answer
Answer:
Step-by-step explanation:
Answers C and D are correct.
Note that in C we have 7^(-8)
---------- ,
7^(-10)
which is equivalent to 7^(-8 + 10), or 7^2, or 49.
In a pile of playing cards, there are 6 hearts, 4 clubs, and 8 spades. What is the probability that you will draw a heart?
1. 1/2
2. 1/6
3. 1/3
4. 1/12
Answer:
1/3
Step-by-step explanation:
The probability that you will draw a heart is 1/3, the correct option is 3.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
We are given that;
Number of cards= 6 hearts, 4 clubs, and 8 spades
Now,
To find the probability of drawing a heart, we need to divide the number of hearts by the total number of cards in the pile. The number of hearts is 6 and the total number of cards is 6 + 4 + 8 = 18.
The probability of drawing a heart is 1/18=1/3
Therefore, by probability the answer will be 1/3.
Learn more about probability here;
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Find the volume of a pyramid with a square base, where the side length of the base is 7.5 cm and the height of the pyramid is 10.2. Round your answer to the nearest tenth of a cubic centimeter
Answer:
The volume is 191.3 [tex]cm^3[/tex]
Step-by-step explanation:
Recall that the formula for the volume of a pyramid is given by the formula:
[tex]Volume=\frac{B\,*H}{3}[/tex]
where B is the area of the pyramid's base, and H its height. So, in our case, the base is a square of length 7.5 cm, which gives 56.25 cm^2
Now, we use this value and the height 10.2 cm to find the volume:
[tex]Volume=\frac{B\,*H}{3}\\Volume=\frac{56.25\,*10.2}{3}\\Volume=191.25\,\,cm^3[/tex]
which rounded to the nearest tenth is: 191.3 [tex]cm^3[/tex]
Answer:
191.3
Step-by-step explanation:
what is the slope of this line graphed below?
Answer:
The slope of a linear function. The steepness of a hill is called a slope. The same goes for the steepness of a line. The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run.
Step-by-step explanation:
make sure you mark me as briliest
Answer:
D. 2
Step-by-step explanation:
point on the graph:
(0, -5) and (3, 1)slope is
m= (y2-y1)/(x2-x1)= (1+5)/(3-0)= 6/3= 2slope is D. 2
PLEASE HELP WILL MARK BRAINLKIEST!!!!!!!!
Answer:
a) -x(4[tex]x^{2}[/tex] -x +1)
b) 4[tex]x^{3}[/tex] (x-1)
c) -12[tex]x^{2}[/tex] - 3x + 3
Step-by-step explanation:
Most of it is really just a matter of substituting expressions in. here's how i did it:
f(x) = x-1
g(x) = 4[tex]x^{2}[/tex]
a) (f-g) x [tex]x[/tex]
= (x - 1- 4[tex]x^{2}[/tex]) x [tex]x[/tex]
= x(- 4[tex]x^{2}[/tex]+x-1)
= -x (4[tex]x^{2}[/tex] - x + 1)
*you can take the negative out of the bracket or not, i did though - just makes it neater. They are both right.
b) (fxg) x [tex]x[/tex]
= (4[tex]x^{2}[/tex](x-1)) x [tex]x[/tex]
= 4[tex]x^{3}[/tex] (x-1)
*just bring the x to the front and times it with the 4[tex]x^{2}[/tex]
c) (f+g) x -3
= (x - 1 + 4[tex]x^{2}[/tex]) x -3
= -3 (4[tex]x^{2}[/tex] + x -1)
= -12[tex]x^{2}[/tex] - 3x + 3
*just bring the -3 to the front and times it with the whole bracket to expand since it said evaluate
Hope that helped : )
Which of the follow best represents the slip of the line?
A - 3
B -1/3
C 1/3
D 3
Answer:
B
Step-by-step explanation:
The slope is negative since the line decreases from left to right. This means that the slope is -1/3.
AB is parallel to CD . Find the measure of each numbered angle. I NEED HELP ON 8 AND 9 ASAP
Answer:
Question (8). m∠1 = 142°
m∠2 = 300°
Question (9). m∠1 = 73°
m∠2 = 82°
Step-by-step explanation:
Question (8). m∠1 + 38° = 180° [Supplementary angles]
m∠1 = 180 - 38
m∠1 = 142°
m∠x = 38° [Alternate interior angles]
m∠y = 22° [Alternate interior angles]
Now, m∠2 = 360° - (m∠x + m∠y)
= 360° - (38 + 22)°
m∠2 = 300°
Question (9). m∠RMN + 98° = 180°
m∠RMN = 180 -98
= 82°
m∠RMN = m∠ARM = 82°
m∠2 = 82°
m∠SNM = 73° [Vertical angles]
m∠SNM = m∠OSR = 73°[Corresponding angles]
m∠1 = 73°
(help)Name the intersection of the two planes in the image below.
Answer:
XZ
Step-by-step explanation:
The intersection of the 2 planes is along the line XZ
The intersection of the two planes in the image below is along the line XZ.
What is a plane coordinate system?The intersection of the x-axis, the horizontal line, and the y-axis, the vertical line, creates a coordinate plane, which is a two-dimensional plane. The origin is the point at which these parallel lines cross one another.
A coordinate plane is a framework for graphing and describing lines and points. The coordinate plane is made up of a vertical (y) axis and a horizontal (x) axis.
In the given image there are two planes one is horizontal and the second is vertical they are intersecting at line XZ. The intersection of the 2 planes is along the line XZ.
Therefore, the intersection of the two planes in the image below is along the line XZ.
To know more about plane coordinate follow
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Simplify 5x+3x+2y+4y halp
Answer:
8x+6y
Step-by-step explanation:
5x+3x+2y+4y
5x+3x= 8x
2y+4y= 6y
The simplified the expression is 2(4x+ 3y).
What is expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.Given:
5x+3x+2y+4y
Now, moving the like terms aside
As, 5x + 3x are one pair
and, 2y+ 4y is second like term pair
So, 5x+3x+2y+4y
= (5x+ 3x) + (2y+ 4y)
= x(5 +3)+ y (2+4)
= x(8)+ y(6)
= 8x+ 6y
= 2(4x+ 3y)
Hence, the simplified the expression is 2(4x+ 3y).
Learn more about Expression here:
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A SSS
B AAA
C SSA
D None of the choices are correct
Answer:
B
Step-by-step explanation:
Answer:
AAA
Step-by-step explanation:
We see that three set of angles are the same in the different triangle hence
It is congruent by Angle Angle Angle AAA
<UST = <QSR
<UTS = < QRS
<TUS = < SQR
i need help quick please help me thnak you
Answer:
28 numbers
Step-by-step explanation:
There is a distance of 81 between -0.5 and 80.5. Divide this number by 3, since you are only counting every third number and you will get 27, but you need to count the first number, which has been excluded. Add one more to get the answer, 28.
What is the volume of a cone if the diameter is 5 and the height is 13?
Answer:
85.095cm³
Step-by-step explanation:
Volume of cone is ¹/³ πr ²h
volume = ¹/³ x 3.142 x (2.5)² x 13
volume = 85.095cm³
Using the following image, solve for x x .
Answer: x= 6
Step-by-step explanation:
2 +x + 1 = 2x -3
1x + 3 = 2x -3
+3 +3
1x + 6 =2x
-1x -1x
6= 1x
x= 6
Give me the answers to thissss plssss rnnnn asapppp!!!!
[tex]\\ 1. (3x ^{2} + 2xy + 7) - (6x ^{2} - 4xy + 3) \\ = 3x ^{2} + 2xy + 7 - 6x ^{2} + 4xy - 3 \\ = 3x ^{2} - {6x}^{2} + 2xy + 4xy + 7 - 3 \\ = { - 3x}^{2} + 6xy + 4 \\ 2. \: {9x}^{2} - 2x + 3 - ( {4x}^{2} + 7x - 5) \\ = 9x ^{2} - 2x + 3 - 4x ^{2} - 7x + 5 \\ = {9x}^{2} - {4x}^{2} - 2x - 7x + 3 + 5 \\ = {5x}^{2} - 9x + 8 \\ 3. \: {x}^{2} - 5x + 6 \\ = {x}^{2} - (3 + 2)x + 6 \\ = {x}^{2} - 3x - 2x + 6 \\ = x(x - 3) - 2(x - 3) \\ = (x - 3)(x - 2) \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
Answer with step by step explanation
[tex](1)(3 {x}^{2} + 2xy + 7) - (6 {x}^{2} - 4xy + 3) \\ 3 {x}^{2} + 2xy + 7 - 6 {x}^{2} + 4xy - 3 \\ = - 3 {x}^{2} + 6xy + 4[/tex]
[tex](2)9 {x}^{2} - 2x + 3 - (4 {x}^{2} + 7x - 5) \\ 9 {x}^{2} - 2x + 3 - 4 {x}^{2} - 7x + 5 \\ = 5 {x}^{2} - 9x + 8[/tex]
[tex](3) {x}^{2} - 5x + 6 \\ {x}^{2} - 3x - 2x + 6 \\ x(x - 3) - 2(x - 3) \\ (x - 2)(x - 3)[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
what is 5,000,000 divided by 3? I'm trying to make it fair for everyone in the diamond casino heist
Answer: 1,666,666.666666667
what is the greatest common factor of 8x*3-6x*2y*2+4x*2y and 2x*2
Answer:
Step-by-step explanation:
Firstly, I believe that the equation should be represented as [tex]8x^{3} -6x^{2} y^{2} +4x^{2}y[/tex] and [tex]2x^{2} .[/tex] Please correct me if I am wrong and I will fix the equation accordingly.
To find the greatest common factor of this equation, we firstly need to factor the polynomial [tex]8x^{3} -6x^{2} yx^{2} +4x^{2} y[/tex]. To do this:
1. Find a GCF for all of the coefficients of the equation. To do this, you can make factor trees, or you can simply just use the prime factorization method.
The prime factorization method is simply a technique used to list the prime numbers used to find the total value. For example, what two prime numbers do you multiply to get four? 2 and 2. 2 is a prime number.
The prime factorization for each of the coefficients is as follows.
8: 2³
6: 2 · 3
4: 2²
We have 2s as values in every prime factorization, but we only one of each. We must take the greatest common value, and 2 is this value. So, our GCF coefficient is 2.
Now, we look at our x variables and y variables.
For x, we have x³ and x². So, our GCF is x².
Our GCF is now 2x². Now, let's look at our y-variables.
We don't have y variables for our entire polynomial, so it can't be a common factor. Therefore, our GCF is 2x².
a car drives at 45 km for 3 hours . how far does the car travel
Answer:
135 km
Step-by-step explanation:
I assume by 45 km you mean 45 km/h so all you have to do is 45x 3 since the car was driving for 3 hrs.
Answer:
The car traveled 135 kilometres!
Step-by-step explanation:
Here you have to do the speed (45km/h) multiplied by the time (3 hours)
45 x 3 = 135
So the car has traveled 135 kilometres!
HOPE THIS HELPS!!
Mark me brainlest!
What is the area of a rectangles with the side lengths 7/6 inches and 6/7 inches?
Answer:
1 in^2
Step-by-step explanation:
area of a rectangle=l*w
l=7/6
w=6/7
7/6 * 6/7 = 1
Find the equation of the line shown.
Answer:
see below
Step-by-step explanation:
From the graph the slope is -1 and the y-intercept is 9. Therefore we can use slope-intercept form (y = mx + b) which will be y = -x + 9.
What is the answer to 1 7/9 ÷ 4/5 and explain please
Answer:
2 2/9
Step-by-step explanation:
So I'm sure you've heard of KCF (Keep, flip, change). So first to make things easier, make 1 7/9 an improper fraction, which is 16/9. And you keep it that way, but you flip 4/5, which will become 5/4. The division sign will become a multiplication sign. The F in KCF was FLIP, to flip the fraction. The C was to change the operation. The K was to keep the first fraction. Anyways, you have to do numerator x numerator and denominator x denominator when multiplying fractions, so 16 x 5 is 80, and 9 x 4 is 36. 36 can go into 80 2 times, so it'll be 2 8/36. But to simplify it, both can be divided by 4, so 8 divided by 4 is 2 and 36 divided by 4 is 9
And that is how to do it.
Answer: 2 8/36 or 2 2/9 (simplified)
HOPE THIS HELPS :)))
Find the distance between the points.
(5,-2),(-6,-2)
3. If A = {2, 4, 6, 8}, B = {1, 3, 5, 7), find A UB.
A U B={ 1,2,3,4,5,6,7,8}
Solution,
A={2,4,6,8}
B={1,3,5,7}
A U B={ 2,4,6,8} U{1,3,5,7}
={1,2,3,4,5,6,7,8}
Hope it helps
Good luck on your assignment
What is the domain of this function?
Answer:
Step-by-step explanation:
The closed dot at (0, 9) indicates that that's where the graph begins. The arrow at the other end indicates that it has no end. Since the domain covers x values only (NOT Y VALUES!), we only need be concerned with the x values. It starts at x = 0 and never ends, so the domain is properly stated as
{x | x ≥ 0}
