Answer:
yes
Step-by-step explanation:
well plug it in: y=6x -> y=6(3/9) and solve, yes if theres a slope of 1
$8000 principal earning 5% compounded annually, after 6 years
Answer:
The final balance is $10,792.14.
The total compound interest is $2,792.14.
Step-by-step explanation:
Final answer:
Explanation on calculating the amount of $8000 principal at 5% compounded annually after 6 years using compound interest formula.
Explanation:
The question: $8000 principal earning 5% compounded annually after 6 years.
Step-by-step explanation:
Use the compound interest formula: A = P(1 + r/n)^(nt) where A is the amount, P is the principal, r is the rate, n is the number of times interest is compounded per year, and t is the time in years.
Plug in the values: P = $8000, r = 0.05, n = 1 (compounded annually), t = 6.
Calculate: A = $8000(1 + 0.05/1)^(1*6)
A = $10,720.77.
50× 3/8 how to reduce answer to lowest te
The lowest term is [tex]\frac{75}{4}[/tex].
Solution:
Given expression is [tex]50\times\frac{3}{8}[/tex]
To reduce this term to the lowest term:
[tex]$50\times\frac{3}{8}=\frac{50}{1}\times\frac{3}{8}[/tex]
Multiply the numerator and denominator.
[tex]$50\times\frac{3}{8}=\frac{150}{8}[/tex]
Now, divide the numerator and denominator by the greatest common factor.
Here 150 and 8 both have common factor 2.
So, divide numerator and denominator by 2.
[tex]$=\frac{150\div2}{8\div2}[/tex]
[tex]$=\frac{75}{4}[/tex]
[tex]$50\times\frac{3}{8}=\frac{75}{4}[/tex]
Hence the lowest term is [tex]\frac{75}{4}[/tex].
if x equals 10 what 5x-10
Answer:
40
Step-by-step explanation:
x = 10
Substitute 10 for x
5 (10) -10
Multiply 5 by 10
50 - 10
= 40
Mark Brainliest
Answer:40
Step-by-step explanation:
If x = 4 units, y = 5 units, and h = 7 units, find the area of the trapezoid shown above using decomposition.
Final answer:
The area of the trapezoid can be found by decomposing it into a rectangle and two triangles. Using the given dimensions, x = 4 units, y = 5 units, and h = 7 units, the calculated area of the trapezoid is 35 square units.
Explanation:
To find the area of the trapezoid using decomposition, we can break it down into simpler shapes whose area we can calculate more easily. Here, we will break the trapezoid into a rectangle and two triangles.
Let's identify the dimensions of the trapezoid: the top base (x), the bottom base (y), and the height (h). The student has provided that x = 4 units, y = 5 units, and h = 7 units.
The area of the rectangle that forms part of the trapezoid is the product of its base (x) and height (h):
Area of Rectangle = x * h = 4 units * 7 units = 28 square units
Next, we have two right triangles with one of the legs being the difference in the length of the bases (y - x) and the other leg equal to the height (h). The area of one triangle will be:
Area of Triangle = 0.5 * (y - x) * h = 0.5 * (5 units - 4 units) * 7 units = 3.5 square units
Since there are two identical triangles, we double this value:
Total Area of Triangles = 2 * 3.5 square units = 7 square units
Now we can sum the area of the rectangle and the total area of the triangles:
Total Area of Trapezoid = Area of Rectangle + Total Area of Triangles = 28 square units + 7 square units = 35 square units
Therefore, the area of the trapezoid is 35 square units.
Final answer:
The area of the trapezoid can be calculated by decomposing it into simpler shapes and using the formula A = ½(h)(b1 + b2), resulting in 31.5 units² for the given measurements.
Explanation:
To find the area of the trapezoid using decomposition, given that x = 4 units, y = 5 units, and h = 7 units, we need to decompose the trapezoid into simpler shapes like rectangles and triangles.
The area of a trapezoid can be found using the formula A = ½(h)(b1 + b2), where h is the height and b1 and b2 are the lengths of the two parallel bases. As there is no visual provided, and we are given three measurements, we must assume these represent the height and the bases of the trapezoid. The area is then calculated as follows:
Area of Trapezoid = ½(7)(4 + 5) = ½(7)(9) = ½(63) = 31.5 units².
Expand 64 and then solve.
answer will be 6400tftfftfttfft
[tex]\text{Hey there!}[/tex]
[tex]\text{Expanded formed would be the number expanded into an addition equation}[/tex]
[tex]\text{Here is a(n) example: 699 would be expanded as 600 + 90 + 09 = 699}[/tex]
[tex]\text{Now we know what expanded is and what it should look like similar, to}\\\text{we can answer your question}[/tex]
[tex]\boxed{\bf{\underline{60 + 04}}}\leftarrow\bf which\ would\ be\ converted\ to\ 64}[/tex]
[tex]\boxed{\boxed{\mathsf{Answer: 60 +04}}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
(PLEASE HELP WILL GIVE BRAINLIEST)
What is the equation of this trend line?
Enter your answers by filling in the boxes.
K = _ J + _
Answer:
K=2J+28
Step-by-step explanation:
Y intercept is 28
Slope is 2
what is 7/10+1/4 in simplest form
Answer: 19/20
Step-by-step explanation:
7/10 turns into 14/20
1/4 turns into 5/20
14/20 + 5/20
14 + 5 over 20
= 19/20
19/20 is in simplest form.
[tex]\text{Hey there!}[/tex]
[tex]\mathsf{What\ is\ \dfrac{7}{10}+\dfrac{1}{4}\ in\ simplest\ form?}[/tex]
[tex]\text{First, look for the lowest common denominator (LCD) of the fractions.}\\\text{If you did the calculations correctly, you should've came up with 20 as}\\\text{your LCD}[/tex]
[tex]\mathsf{Here\ is\ how so: \dfrac{7\times2}{10\times2}+\dfrac{1\times5}{4\times5} = \ ?}[/tex]
[tex]\mathsf{7\times2=14\leftarrow first\ numerator}\\\mathsf{10\times2=20\leftarrow first\ denominator}[/tex]
[tex]\mathsf{1\times5=5\leftarrow second\ numerator}\\\mathsf{4\times5=20\leftarrow second\ denominator}[/tex]
[tex]\mathsf{Your\ new\ equation\ SHOULD\ look\ like\ this: \dfrac{14}{20}+\dfrac{5}{20}}[/tex]
[tex]\text{Since, your DENOMINATORS are ALIKE we can KEEP IT}[/tex]
[tex]\mathsf{Which\ leaves\ us\ with\ the\ last\ step\ of\ the\ problem}[/tex]
[tex]\mathsf{ \dfrac{14+5}{20}}}[/tex]
[tex]\mathsf{14+5=19\leftarrow your\ new\ numerator}\\\\\mathsf{20 = 20\leftarrow your\ new\ denominator}[/tex]
[tex]\boxed{\boxed{\bf{Answer: \mathsf{\dfrac{19}{20}}}}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
Jack and Jill live 345 miles apart from one another. They want to meet for lunch and agree to leave the
same time, drive toward each other, and meet somewhere along the route. lack's average rates 60 pland
Hill's average rate is 55mph How long will it take them to meet? Give your wet in bo and sites
It will take them 3 hours to meet
Step-by-step explanation:
The given is:
Jack and Jill live 345 miles apart from one anotherThey want to meet for lunch and agree to leave the same time, drive toward each other, and meet somewhere along the routeJack's average rates 60 mphJill's average rate is 55 mphWe need to find how long it will take them to meet
Distance = Speed × Time
∵ They will drive toward each other at the same time and meet
each other somewhere
- That means they will drive for the same time
∵ Jack's average rates 60 mph for t hours
∴ Jack will drive a distance = 60 × t = 60 t miles
∵ Jill's average rate is 55 mph for t hours
∴ Jill will drive a distance = 55 × t = 55 t miles
∵ The distance between Jack and Jill is 345 miles apart
- Add their distance above and equate the sum by 345
∴ 60 t + 55 t = 345
∴ 115 t = 345
- Divide both sides by 115
∴ t = 3 hours
It will take them 3 hours to meet
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the basketball team scored 24 points. Uriah scored 7 of those points. About what percent of the points did he score?
If y = 7x - 5, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?
{(-5, 0), (9, 2), (-26, -3)}
{(2, 7), (1, 6), (3, 13)
{(0, -5), (2, 9), (-3, -26)}
{(1,3), (6, 18), (8, 15)}
Answer:
C is correct
Step-by-step explanation:
If you plug in the ordered pairs from C, they always work.
Determine which line the point (2, -1) lies on. y = 2x + 1 y = x + 5 y = 2x - 5 y = x - 2
To determine which line the point lies on, you can just plug in one of the numbers into the equations to see if it equals out.
(2, -1) I will use the 2 and plug it in for x in the equation.
y = 2x + 1
y = 2(2) + 1
y = 5 The point does not lie on this line because when x = 2, y = 5 (2, 5)
y = x + 5
y = 2 + 5
y = 7 The point does not lie on this line because when x = 2, y = 7 (2, 7)
y = 2x - 5
y = 2(2) - 5
y = 4 - 5
y = -1 The point does lie on this line because when x = 2, y = -1 (2, -1)
y = x - 2
y = 2 - 2
y = 0 The point does not lie on this line because when x = 2, y = 0 (2, 0)
Use substitution to solve 1-2.
3x – 3y = 9
x= 7 – 3y
Answer:
Solutions are x =4 and y = 1
Step-by-step explanation:
[tex]3x-3y =9[/tex]
In this equation substitute [tex]x=7-3y[/tex], we get
[tex]3(7-3y) -3y=9\\21-9y-3y=9\\-12y= 9-21\\-12y= -12\\y=1[/tex]
now substitute y =1 in x equation,
[tex]x=7-3(1)\\x=7-3\\x=4[/tex]
Solutions are x =4 and y = 1
solve each inequality, graph the solution, and write the solution in interval notation
5 ≤ 4x− 1 < 7
The compound inequality 5 \u2264 4x - 1 < 7 results in the solution set [1.5, 2) when solved and graphed. In interval notation, it is expressed as [1.5, 2).
Explanation:To solve the compound inequality 5 \<= 4x - 1 < 7, we split it into two separate inequalities and solve them individually:
Add 1 to all parts of the inequality: 6 \<= 4x < 8.Divide all parts by 4:\(\frac{6}{4} \<= x < \frac{8}{4}\).Simplify the fractions:1.5 \<= x < 2.The solution set is the interval [1.5, 2). To graph this solution, plot a closed circle at 1.5 and an open circle at 2, and shade the region in between. In interval notation, the solution set is represented as [1.5, 2).
What is the solution to the equation x−23=−13 ? Enter your answer in the box.
Answer:
Step-by-step explanation: so u are going to put it like this x- -6 =5
Next u subtract -6 from both sides
x=11
Answer:
x=10
Step-by-step explanation:
Which sum will be neither positive nor negative. a. 3+2 b. -4+(-4) c. -6+6 d. 7+(-6)
Answer:
c
Step-by-step explanation:
The membership dues at an exclusive club are $1,750 annually. After every year of membership, the dues are lowered by $75. Choose the equation below that gives the dues of members, Dn, in their 7th year of membership.
A.
Dn = $1,750 - $75·n ; D7 = $1,300
B.
Dn = $1,750 - $75·(n - 1) ; D7 = $1,225
C.
Dn = $1,750 - $75·(n - 1) ; D7 = $1,300
D.
Dn = $1,750 - $75·n ; D7 = $1,225
Answer:
C.
Dn = $1,750 - $75·(n - 1) ; D7 = $1,300
Step-by-step explanation:
"n" represents each year of membership. The first year that you are a member (n = 1), the fee is $1,750.
In year 2, (n = 2), the fee is $1,750 - $75, which is 75·1. If n=1, and 75 is multiplied by 1, then the formula will use (n - 1).
At this point, the answer will be either B. or C.
Substitute n = 7 into the formula to find the cost in the 7th year.
Dn = $1,750 - $75·(n - 1)
D7 = $1,750 - $75·(7 - 1) Solve inside the brackets first.
D7 = $1,750 - $75·6 Multiply first, then subtract the product from 1750.
D7 = $1,300 Answer
Therefore the answer is C.
Use the Side-Splitting Theorem to find the value of x.
A. 10
B. 15
C. 8.5
D. 9.6
Step-by-step explanation:
In given figure,
AD = x, DB = 12, BE = 8 and EC = 10
To find, the value of x = ?
Use the Side-Splitting Theorem,
We know that,
[tex]\dfrac{AD}{DB} =\dfrac{BE}{EC}[/tex]
⇒ [tex]\dfrac{x}{12} =\dfrac{8}{10}[/tex]
⇒ x =[tex]\dfrac{8 \times 12}{10}[/tex]
⇒ x = [tex]\dfrac{96}{10}[/tex]
⇒ x = 9.6
∴ The value of x = 9.6
Thus, the required "option D. 9.6" is correct.
a 9-kilogram bag of sugar cost $27.54. what is the unit price ?
Answer:
The answer is 3.06
Step-by-step explanation:
In order to find unit price. You divide the cost per how many units you have.
In this case, you divide 27.54 to 9.
This gives you the answer (3.06)
What is the unit price ?
$27.54 : 9 = $3.06
pls help thx
A bag contains 1 red, 2 blue, and 3 green marbles. Two marbles are drawn from the bag without replacement.
Based on the tree diagram, what is the probability that a GREEN marble and then a RED marble is drawn? (in simplest fraction form)
A)
1
5
B)
1
10
C)
3
10
D)
4
11
Answer:
Step-by-step explanation:
so you have 1 red, 2 blue, and 3 red. Together that would be 6 marbles. However it apears that with each draw you gain two marbles. therefore there are 12 possibilities. The likely hood that you will get a green marble then a red marble should be 2/12. In simplified form it is 1/6.
Answer:the answer is 1/5 the other guy got it wrong
Step-by-step explanation:
Juan paid 59.99 tor a jacket that originially sold for 85.50. about what percent of the originial price did he pay for the jacket?
Juan paid 70.16 % of the original price of the jacket.
Step-by-step explanation:
Step 1:
Given details, Original Selling Price of the jacket = 85.50
New Selling Price of the jacket = 59.99
Step 2:
To determine what percentage of the old price is the new price, we have to use percentage calculation.
[tex]x/100\times 85.50 = 59.99[/tex]
Step 3:
Substitute in the formula, the given values
x = [tex](59.99/85.50) \times 100[/tex]
= [tex](0.7016) \times 100[/tex]
= [tex]70.16[/tex]
Therefore, percentage paid is 70.16%
If 22,000 pounds of soybeans were harvested from 10 acres, how many bushels per acre we
harvested? (Note: 60 lb = 1 bu)
Answer:
36.66 bushels per acre
Step-by-step explanation:
First divide 22,000 by 10 to get pounds per acre
2200 lbs/acre
But the question asks how many pounds per bushel. So now we will divide 2200 by 60
36.66 bushels per acre
Answer:
36.67bu per acre
Step-by-step explanation:
Find Pound per acre
22,000/10 = 2200 lb per acre
Find bushels per acre
60lb = 1 bu
2200/60 = 36.67bu per acre
A ruler is 12 inches long. What is the of this ruler
Can you please clarify what you want to ask? Thanks!
Joanne and Betty have a combined age of 60 years. If Joanne is 18 years old,
how old is Betty?
Answer:
42
Step-by-step explanation:
Answer:
42
Step-by-step explanation:
Let Joanne age be x
let betty age by y
. ° . x + y = 60
if joanne is 18
y = 18
x + 18 = 60
x = 60 - 18
x = 42
. ° . betty = 42
In the figure below, the segments cd and ce are tangent to the circle centered at o. Given that od= 4.8 and oc= 7.3, find ce
Answer:
[tex]CE=5.5\ units[/tex]
Step-by-step explanation:
The picture of the question in the attached figure
we know that
According to the Perpendicular Tangent Theorem, tangent lines are always perpendicular to a circle's radius at the point of intersection
That means ----> Triangles ODC and OEC are right triangles
In the right triangle OEC
we have
[tex]OE=OD=4.8\ units[/tex] ----> radius of the circle
[tex]OC=7.3\ units[/tex]
Applying the Pythagorean Theorem
[tex]OC^2=OE^2+CE^2[/tex]
substitute the given values
[tex]7.3^2=4.8^2+CE^2[/tex]
[tex]CE^2=7.3^2-4.8^2\\CE^2=30.25\\CE=5.5\ units[/tex]
Final answer:
The length of the segment CE, which is a tangent to a circle, can be found using the properties of tangents and the Pythagorean theorem. Given OD = 4.8 and OC = 7.3, the length of CE is calculated to be approximately 5.5 units.
Explanation:
The question involves finding the length of segment CE in a configuration where segments CD and CE are tangents to a circle centered at O. Given that OD = 4.8 and OC = 7.3, to find CE, one can use the properties of tangents to a circle. Tangents drawn from the same external point to a circle are congruent. Therefore, the lengths of CD and CE are equal. Since OD and OC form a right triangle with CD (considering triangle OCD), applying the Pythagorean theorem gives us the length of CE directly.
To calculate, let CD = CE = x, hence:
[tex]OD^2 + CD^2 = OC^2[/tex][tex]4.8^2 + x^2 = 7.3^2[/tex][tex]x^2 = 7.3^2 - 4.8^2[/tex]x = [tex]\sqrt{(7.3^2 - 4.8^2)[/tex]After calculation:
x ≈ 5.5Therefore, the length of CE is approximately 5.5 units.
-1/3 +5e =3/7
find e
Answer:
0.1523
Step-by-step explanation:
-1/3 + 5e = 3/7
5e = 3/7 + 1/3
By Elysium
5e = (9 + 7)/21
5e = 16/21
5e = 0.7619
e = 0.7619/5
0.1523
Express 2.41 x 10/4 in a standard form.
The number written in standard form is 24100
Step-by-step explanation:
An object is said to be written in scientific notation when it is written in the following form:
[tex]m\cdot 10^n[/tex]
where
m is the coefficient
n is the exponent of the power of ten
The number can be rewritten in standard form by writing the coefficient and then moving to the right (or to the left) the decimal point by n positions if n is positive (or negative).
In this problem, the number is
[tex]2.41\cdot 10^4[/tex]
So we have
m = 2.41
n = 4
Therefore, we have to write 2.41 and then move the decimal point 4 positions to the right: so we get
[tex]2.41\cdot 10^4 = 24100[/tex]
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suppose you flip a coin twice. what is the probability that you get tails on the first flip and tail on the second flip?
Probability of getting tails on the first flip: 1/2 (because it's one of two possible outcomes).
Probability of getting tails on two consecutive flips: 1/4 (because it's one out of four possible outcomes- tails tails, tails heads, heads tails, heads heads)
A simpler way of thinking about it is 1/2*1/2, because you already have 1/2 for getting tails the first time, and if getting tails the second time were an independent event then the probability would be 1/3, but since it's getting tails twice you multiply the probabilities.
Either way, the answer is 1/4 (or 25%)
If you flip a coin twice the probability that you get tails on the first flip and tails on the second flip is 1/4.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
It is given that you flip a coin twice, the probability getting tails on the first flip we have to find the probability that you get tails on the first flip and tails on the second flip.
The probability of getting tails on the first flip is
P(T) = 1/2
When two coins get flipped the total possible outcomes are,
(T, H)(T,T)(H,H)(H,T)
Probability of getting tails on two consecutive flips,
P(T) =1/4
The probability that you get tails on the first flip and tails on the second flip
Thus, if you flip a coin twice the probability that you get tails on the first flip and tails on the second flip is 1/4.
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Annie got 7 flowers and gave 2 to Karen how many does she have left
Answer:
5 flowers
Step-by-step explanation:
To get the answer you do 7-2
so she has 5 flowers left.
7-2=5
Help! Asap! Explain why dividing by a fraction results in the same answer as multiplying by its reciprocal.
Answer:
Hey "Dixie" heres why: That's why you're being told to flip the second fraction. You're recognizing that dividing by a number is the same as multiplying by the reciprocal. ... Now to multiply fractions, we simply multiply the numerators to get the new numerator and multiply the denominators to get the new denominator.
Hope it helped!
Dividing by a fraction and multiplying by its reciprocal, b/a, yield the same result as division and multiplication interact in such a way. The reciprocal (or flip) of a fraction makes it easier to perform mathematical operations like multiplication and division.
Explanation:In mathematics, dividing by a fraction a/b is indeed equivalent to multiplying by its reciprocal, which is b/a. This is because of the way division and multiplication operations work.
Here's an example: If you have 4 ÷ (1/2), this can also be seen as 4 multiplied by the reciprocal of 1/2, which is 2/1, or 2. In both cases, the answer would be 8. This shows that dividing by a fraction is the same as multiplying by its reciprocal.
Therefore, when you have any number divided by a fraction, you can simplify the operation by turning it into multiplication by performing the flip (reciprocal) on the fraction you're dividing by.
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Need some help with the answer to the question
Answer:
(- 4, 27 )
Step-by-step explanation:
Equate the right sides of both equations, that is
x² - 2x + 3 = - 2x + 19 ← subtract - 2x + 19 from both sides
x² - 16 = 0 ← in standard form
(x - 4)(x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 4 = 0 ⇒ x = - 4
Substitute these values into f(x) = - 2x + 19
f(4) = - 2(4) + 19 = - 8 + 19 = 11 ⇒ (4, 11 )
f(- 4) = - 2(- 4) + 19 = 8 + 19 = 27 ⇒ (- 4, 27 )