The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have m = 2 and the points (1, 2) and (3, y). Substitute:
[tex]\dfrac{y-2}{3-1}=2\\\\\dfrac{y-2}{2}=2\qquad\text{multiply both sides by 2}\\\\y-2=4\qquad\text{add 2 to both sides}\\\\\boxed{y=6}[/tex]
Sophia puts $250 in the bank with a 2.5% annual interest rate compounded monthly. If Sophia does not touch his money, how much money will she have after four years? A) $260.00 B)$275.00 C)$275.95 D)$276.26
I WILL MARK YOU THE BRAINLIEST
Answer:
$276.26
Step-by-step explanation:
We have been given the principal amount as 250 dollars and rate of interest as 2.5%. Furthermore, we are given that interest is compounded monthly and we are required to find the future value after 4 years.
Therefore, we will use compound interest formula:
[tex]A=P(1+\frac{r}{n})^{nT}[/tex]
Where, we have
[tex]P = 250, r = 0.025, n = 12, T = 4[/tex]
Thus, upon substituting these values in the formula, we get:
[tex]A=250(1+\frac{0.025}{12})^{12\cdot 4}\\A=250(1+0.002083333)^{48}\\A=250(1.002083333)^{48}\\A=250\cdot 1.10505596A=276.26[/tex]
Therefore, she will have $276.26 in her account after 4 years.
Answer:
Option D is correct.
Money she wil have after four years, $276.26
Step-by-step explanation:
As per the statement:
Principal(P) =$ 250 , Annual interest Rate(r) = 2.5% and Time(t) = 4 years.
Also, n = 12
To find how much money will she have after 4 years.
The formula for amount is given by:
[tex]A = P(1+\frac{r}{100n})^{nt}[/tex] ......[1]
where
A represents the Amount
P represents the Principal
r represents the annual rate of interest.
and t represents the time in years.
Substitute the given values in [1] we get;
[tex]A = 250(1+\frac{2.5}{12 \cdot 100})^4\cdot 12[/tex]
[tex]A = 250(1+0.00208333333)^48[/tex]
or
[tex]A = 250(1.00208333)^48[/tex]
Simplify:
A= $276.26
Therefore, $276.26 money will she have after 4 years
amara earns $8 an hour at her job working 25 hours per week. If 22% of her paycheck goes to taxes, what is Tamara’s monthly cash inflow? (Assume this is her only source of income and that there are 4 pays per month.) a. $176 b. $624 c. $778 d. $800
Answer:
Answer is B. $624
Step-by-step explanation:
So first off, you multiply. Amara earns $8 every hour and she works 25 hours every week. There are 4 weeks in a month so we first multiply 25 × 4 and we get 100
Now we multiply 100 × $8 and you get $800
But then it says that 22% of her money goes to taxes. So what we have to do is reduce from that total gross pay ($800). So the first thing we do is change the 22% to a decimal by moving the invisible decimal point twice to the left and it leaves us with .22
Now, we multiply $800 × .22 and we get $176. Now, do not get confused! This $176 is not the final answer! That is just the amount of money we have to take away not the money it leaves us with.
So we take away now from our total: $800 - $176 = $624
And there's your answer! I hope this helps :)
Answer:
b
Step-by-step explanation:
In a school election, Violet received 156 votes. She got 60% of all the votes. How many total votes were cast? Which equation CANNOT be used to answer this question?
a. 0.6 times 156 = x
b. 156 = 0.6x
c. 156/0.6 = x
d. 156/x = 60/100
Answer:
1) Total votes = 260
2) option (a) CANNOT be used to answer this question
================================================
Step-by-step explanation:
Part (A)
let all the votes = x
Violet received 156 votes which equal to 60% of all the votes
∴ 156 = 60% of x
60% = 60/100 = 0.6
∴156 = 0.6 x ⇒ x = 156/0.6 = 260 votes
Part (B) :
options (b), (c) and (d) can be used to answer this question because they will give the same result of part (A)
While option (a) CANNOT be used to answer this question.
Check the following
a. 0.6 times 156 = x ⇒ x = 93.6
b. 156 = 0.6x ⇒ x = 260
c. 156/0.6 = x ⇒ x = 260
d. 156/x = 60/100 ⇒ x = 260
What’s the question mark
Answer:
? = 30
Step-by-step explanation:
If the triangles are similar, then the only way I see this working is the sides measuring 63 and 54 are corresponding. The sides measuring 56 and 48 are corresponding. That leaves the sides measuring 35 and ? corresponding.
Set up a proportion.
63/54 = 35/?
63? = 54 * 35
63? = 1890
? = 30
a rectangular box has a height of 7 centimeters and a volume of 336 cubic centimeters. The length of the box is three times the width.
Write an equation describing this situation and find the length and width of the box.
The length and width of a box is required.
The equation describing the situation is [tex]V=3W^2H[/tex]
Length of the box is 12 cm and width of the box is 4 cm.
h = The height of the box = 7 cm
V = Volume of the box = [tex]336\ \text{cm}^3[/tex]
Length of the box is three times the width.
[tex]L=3W[/tex]
Volume of a cuboidal box is given by
[tex]V=LWH\\\Rightarrow V=(3W)WH\\\Rightarrow V=3W^2H[/tex]
The equation describing the situation is [tex]V=3W^2H[/tex]
Solving the equation
[tex]W=\sqrt{\dfrac{V}{3H}}\\\Rightarrow W=\sqrt{\dfrac{336}{3\times 7}}\\\Rightarrow W=\sqrt{16}=4[/tex]
[tex]L=3W=3\times 4\\\Rightarrow L=12[/tex]
Length of the box is 12 cm and width of the box is 4 cm.
Learn more:
https://brainly.com/question/23952628
https://brainly.com/question/13771570
Helppppp please!!!!!
Answer: A. (4,0)
Step-by-step explanation: It is the only ordered pairs that are on the line.
Hope this helps! :)
Solve for x.
(Hint: similar triangles)
Please helppp ASAP!!
Answer:
Part A
(5x+4)+(6x-9)=11x-5
part (B)
(5x+4)(6x-9)
30x²-45x+24x-36
30x²-21x-36
part (c)
m[n(x)]=m(6x-9)+4=30x-45+4=30x-41
Step-by-step explanation:
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Find the area of a regular hexagon with the given measurement. apothem A =
Answer: we need the measurements
Step-by-step explanation:
What is the value of h(-2)
Answer:
C
Step-by-step explanation:
Just took the test. Good luck
Find -3/7 ÷ -1 1/4 please
Answer:
Step-by-step explanation:
(-3/7)*(-4/11)
12/77
Answer:
=-12/7 or -1.71429....
Step-by-step explanation:
As a clinical trials monitor, you recruit subjects for a new study. You want 175 subjects per group for 3 groups. How many subjects should you recruit for the whole study?
What is the sum of ¾ + ⅔ in simplist form
Answer:
The answer is 17/12
Step-by-step explanation:
3/4 + 2/3
= 9/12 + 8/12
= 9 + 8/12
= 17/12
We must find the common denominator.
The list of multiples of 4: 0, 4, 8, 12, 16, 20, ...
The list of multiples of 3: 0, 3, 6, 9, 12, 15, 18, ...
The common denominator is 12.
[tex]\dfrac{3}{4}=\dfrac{3\cdot3}{4\cdot3}=\dfrac{9}{12}\\\\\dfrac{2}{3}=\dfrac{2\cdot4}{3\cdot4}=\dfrac{8}{12}[/tex]
Therefore:
[tex]\dfrac{3}{4}+\dfrac{2}{3}=\dfrac{9}{12}+\dfrac{8}{12}=\dfrac{9+8}{12}=\dfrac{17}{12}=\dfrac{12+5}{12}=1\dfrac{5}{12}[/tex]
Answer: 17/12 = 1 5/12perpendicular and angle bisector
I believe you are asking for the answer choices to the lesson Perpendicular and Angle Bisectors U6 L2. Here are the answers for it:
1. B
2. C
3. A
4. C
5. C
to rent office space for your business, you must pay a one time fee of $1000 and pay rent of $800 per month.
A. Write a linear model that represents the total cost of renting office space as a function of number of monthd you will rent.
B. Find the total cost of renting office space for 6 months.
Answer:
Step-by-step explanation:
a) y=800x+1000=800(12)+1000
b)y=1000x (15 months)
Answer:
Linear model is given as
Total cost of renting = 1000 + n(800)
Total cost of renting for 6 months = $5800
Step-by-step explanation:
The linear model can be represented as follows ;
The one time fee = $1000
monthly fee = $ 800
Total cost of renting = 1000 + n(800)
n = number of month you will rent
Total cost of renting office space for 6 months can be computed using the model.
Total cost of renting = 1000 + n(800)
where n = 6 months
Total cost of renting for 6 months = 1000 + 6(800)
Total cost of renting for 6 months = 1000 + 4800
Total cost of renting for 6 months = $5800
write this polynomial in descending form 5x3 + 2x + 7x5
The polynomial 5x3 + 2x + 7x5 written in descending form is 7x5 + 5x3 + 2x, organized from the highest to the lowest power of x.
To write the polynomial 5x3 + 2x + 7x5 in descending form, arrange the terms in order from the highest power of x to the lowest. The given polynomial has the terms with powers of 5, 3, and 1. Organizing the polynomial in descending order of the exponents gives us:
7x5 + 5x3 + 2x.
As we can see, the term with the highest exponent, 7x5 (degree 5), comes first, followed by 5x3 (degree 3), and lastly the term with the lowest degree, 2x (degree 1).
Write the ratio to compare
Answer:
12/24
Step-by-step explanation:
A ratio is a comparison of two quantities and can be written in several forms including fractions. It is most commonly written in fraction form or a:b.
To write a ratio, we count the number of each quantity we are comparing. The number of shaded squares is 12. While the total number of squares is 24. We write the ratio as shaded : total.
12:24 or
[tex]\frac{12}{24}[/tex] or
0.5 as a decimal.
If C is the hypotenuse of the right triangle ABC with sides A, B, C, and A=12, B=5, then C= ?
Answer:
13
Step-by-step explanation:
To solve for any missing side of a triangle, simply use the Pythagorean Theorem.
[tex]a^2 + b^2 = c^2[/tex]
[tex]c^2=12^2+5^2\\c^2 = 144 +25\\\sqrt{c^2} = \sqrt{169} \\\text{The square root of 169 is 13}[/tex]
The length of the hypotenuse (C) in a right triangle given sides A=12 and B=5 can be calculated using the Pythagorean theorem. Substituting these values leads to a calculation of √169, resulting in C being 13.
Explanation:The subject at hand pertains to the Pythagorean Theorem. This theorem states that in a right triangle, the square of the length of the hypotenuse (side C) is equal to the sum of the squares of the lengths of the other two sides (A and B). Hence, the formula is a² + b² = c².
Given that A=12 and B=5, we substitute these values into the Pythagorean theorem. Therefore, the calculation is C = √(12² + 5²). This simplifies to C = √(144 + 25), which further simplifies to C = √169. Thus, the length of the hypotenuse C is 13.
Learn more about Pythagorean Theorem here:https://brainly.com/question/19649203
#SPJ3
Point( -2 -1) and is perpendicular to the graph of y equals negative 2/3 x + 6. line n is parallel to line M and passes through point (4,-3). which is the equation of line and in slope intercept form
Answer:
I don't know I don't know I don't know I don't know
find the unit rate: earn $33 for 4 hours of work
33/4 = 8.25 per hour.
Can some solve this
[tex]200 > 4.50 + 35[/tex]
[tex]\bf 200 > 4.50x+35\implies 165 > 4.50x\implies \cfrac{165}{4.50}>x\implies \cfrac{110}{3}>x[/tex]
which is about 36.67 > x.
2.486 L is equal to how many ml
1L = 1,000ml
Therefore
2.486L = 2.486 · 1,000ml = 2,486ml
Answer: 2.486 L = 2,486 mlExplicit formula for the sequence 7,2,-3,-8
Answer:
Step-by-step explanation:
The common difference of the sequence is -5
Since the difference is -5
a_n= 7+(n-1)(-5)
a_n = 7-5n+5
a_n = 12-5n
y=-3x-5 and y=−10x-9 Round to the nearest hundredth.
The famous math water fountain is just 5 miles away from the high school. How far is the fountain away from the school on the map?
Answer:
Step-by-step explanation:
What is the scale of the map? Just multiply the ratio (distance on map x actual distance) by 5.
evaluate j/k -0.2k when j =25 and k = 5
Answer:
4
Step-by-step explanation:
To evaluate a function with certain defined values, we must substitute the values in the equation, perform the indicated operations and in this way we obtain the final value.
If j = 25 and k=5
replacing in the equation
[tex]\frac{j}{k} -0.2k = \frac{25}{5} -0.2(5) = 5 -1 = 4[/tex]
A game requires you to roll a dice and flip a coin. How many possible outcomes are there?
Answer:
The total amount of possible outcomes is 12.
Step-by-step explanation:
1.) 1-h
2.) 1-t
3.) 2-h
4.) 2-t
5.) 3-h
6.) 3-t
7.) 4-h
8.) 4-t
9.) 5-h
10.) 5-t
11.) 6-h
12.) 6-t
Hope this helps!! (:
As a financial consultant, the CFO of a major television company has shared the profit function P(x) = −x4 - 2x3 + 21x2 + 22x − 40 with you which models the profit of the company based on the number of commercials , x, they air in a 24-hour period. DESCRIBE the appearance of the graph to the CFO. Use complete sentences, and focus on the end behaviors of the graph and how to use the function P(x) to find where the company will break even (where P(x) = 0).
Answer:
The company will break even at x=1 and x=4.
Step-by-step explanation:
The given profit function is
[tex]P(x)=-x^4-2x^3+21x^2+22x-40[/tex]
Where, x is number of commercials.
Use synthetic division or long division to find the factors of the function.
[tex]P(x)=(x-1)(x^3+3x^2-18x-40)[/tex]
[tex]P(x)=(x-1)(x+2)(x^2+x-20)[/tex]
[tex]P(x) = -(x - 4) (x - 1) (x + 2) (x + 5)[/tex]
Equate P(x)=0, to find the break even points.
[tex]-(x - 4) (x - 1) (x + 2) (x + 5)=0[/tex]
Use zero product property and equate each factor equal to zero.
[tex]x=4,1,-2,-5[/tex]
Therefore the zeros of the function P(x) are 4, 1, -2 and -5. Since x is number of commercials, therefore the value of x must be positive. Therefore the company will break even at x=1 and x=4.
The higher degree of the function is even and the leading coefficient is negative. So,
[tex]P(x)\rightarrow -\infty \text{ as }x\rightarrow \infty[/tex]
[tex]P(x)\rightarrow -\infty \text{ as }x\rightarrow -\infty[/tex]
Since the value of x must be positive, therefore the left end point is y-intercept of the graph, i.e., (0,-40).
Therefore the company faces huge loss when the number of commercials increases unboundly.
The graph of the function is given below.
What is the distance between (2,-6) and (-4,8)
Hi there! :)
Step-by-step explanation:
[tex]SLOPE=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}[/tex]
[tex]\frac{8-(-6)}{(-4)-2}=\frac{14}{-6}=\frac{14}{-6}[/tex]
Slope is 14/-6
Final answer is 14/-6
Hope this helps!
-Charlie
Have a nice day! :)
:D
Thanks!
The graph shows a journey in a car. Which of the statements most likely describes the start of the journey at the portion of the graph labeled I?
A. The car travels the same distance per unit of time because the portion shows a linear, increasing function.
B. The car travels different distances per unit of time because the portion shows a linear, increasing function.
C. The car travels the same distance per unit of time because the portion shows a nonlinear, increasing function.
D. The car travels different distances per unit of time because the portion shows a nonlinear, increasing function.
Answer:
A. The car travels the same distance per unit of time because the portion shows a linear, increasing function.
Step-by-step explanation:
The portion of the graph labelled I is linear increasing function. So, the slope is constant. The slope is the the ratio of change in the quantity of y-axis to that of x-axis.
Here distance is plotted in the y-axis and time in the x-axis.
So, the slope here is Distance covered/ Time, which is nothing but the speed of the car.
Since the slope is constant, the car is travelling at a constant speed in the portion of the graph labelled I, which means, the car travels the same distance per unit of time in the portion I.
Answer:
its a hope this helps
Step-by-step explanation: