Answer: $50.63 --- Interest
Step-by-step explanation:
Step 1
Using the formulae
A = P(1 + r/n)^nt
Where
A = principal + interest Amount
P = Principal Amount = $1000
t = Time in years= 6months = 0.5 years
n = number of compounding periods= quarterly =4
Step 2
6 months = 6/12 = 0.5 years
Rate = 10 % = 0.1
A = P(1 + r/n)^nt
= 1000 ( 1 + 0.1/4)^(4 x 0.5)
=1000(1 +0.025)^2
= 1000(1.025)^2
= 1000 x 1.050625
A= $1,050.625
but A = principal + interest Amount
Interest = A- Principal=$1,050.625-$1,000
=$50.625
Imagine she found 100 worms of the same length as she found on Tuesday. What would the total length of the 100 worms be? (write the numerical answer only.)
Step-by-step explanation:
you didn't give us the full question. what were the lengths of the worms found on Tuesday?
The three straight paths, AB, BC, and AC meet each other at three points, A, B, and C. How do these points of intersection differ from each other? Explain the differences in terms of the angles that you see. Also look at the length of the side opposite each angle. What pattern do you se regarding the measurements? In what situation would all the points of intersection resemble one another? Modify the triangle in GeoGebra to help you with your answers.
Answer:
The three straight paths intersect at different angles. In other words, the amountrequired to turn one path onto the other is different about each vertex. Thelargest angle is opposite the longest side, and the smallest angle is opposite theshortest side. If all three points of intersection look the same, the result is atriangle with three equal angles and three equal sides.
Step-by-step explanation:
The angle of intersection of AB, BC and AC when, they meet each other at three points, are 54.48°, 81.83° and 43.65°.
What is the law of cosine?When the three sides of a triangle is known, then to find any angle, the law of cosine is used. It can be given as,
[tex]c^2=a^2+b^2-2ab\cos C\\a^2=c^2+b^2-2ab\cos A\\b^2=a^2+c^2-2ab\cos B[/tex]
Here, a,b and c are the sides of the triangle and A,B and C are the angles of the triangle.
The three straight paths, AB, BC, and AC meet each other at three points, A, B, and C.
Difference between the points of intersection of A, B and C-All the points of intersection of given angle A, B and C keeps the different value as all the sides of the triangle is not equal.
The differences in terms of the angles-
The length of the angle C using the above formula,
[tex]5^2=4.24^2+6.08^2-2(4.24)(6.08)\cos (C)\\C=\cos^{-1}(0.581)\\C=54.48^o[/tex]
Similarly, the measure of angle B,
[tex]6.08^2=5^2+4.24^2-2(5)(4.24)\cos (B)\\B=\cos^{-1}(0.142)\\B=81.83^o[/tex]
The measure of angle A,
[tex]4.24^2=5^2+6.08^2-2(5)(6.08)\cos (A)\\A=\cos^{-1}(0.7235)\\A=43.65^o[/tex]
The length of the side opposite each angle-The length of the side opposite to angle A is 4.24 units, side opposite to angle B is 6.08 units and side opposite to angle C is 5 units.
The pattern regarding the measurements-All the sides and angles of the triangle are different from each other. This triangle ABC is a scalene triangle.
Situation in which all the points of intersection resemble one another-When all the point of intersection of provided line intersect at a single point. Then all the points of intersection resemble one another.
Thus, the angle of intersection of AB, BC and AC when, they meet each other at three points, are 54.48°, 81.83° and 43.65°.
Learn more about the law of cosine here;
https://brainly.com/question/4372174
solving multistep linear equations and inequalities
help me please
Answer:
Step-by-step explanation:
Part A:
C = 10t + s
Part B:
10(3) + 8
30 + 8 = $38
Carson bought 2.5 pounds of gummy bears for $2.75 per pound. How much did he spend on gummy bears? (Round your answer to the nearest hundredths place.) Please help meeeeeeee
If point Q is between endpoints P and R on a segment, PQ = 4x - 12, QR = 2x + 7, and PR = 31, then find the value of x.
Answer:
x = 6
Step-by-step explanation:
Here it's sayin that Q is a point in between the end-points P & R. If we join P & R , it forms a line segment & Q is in the line segment PR. Hence PQ & QR are also line segments which combine to form line segment PR. So ,
PR = PQ + QR
Putting the given values of PQ ,QR & PR
=> 4x - 12 + 2x + 7 = 31
=> 6x - 5 = 31
=> 6x = 31 + 5
= 36
=> x = 36/6 = 6
A farmer has 140 bushels of corn for sale at a farmers market. He sells an average of 15 1/8 bushels each day. After 6 days, what is the change in the total number of bushels the farmer had for sale at the farmers market
Step-by-step explanation:
farmer has 140 bushels of corn for sale at a farmers market. He sells an average of 15 1/8 bushels each day. After 6 days, what is the change in the total number of bushels the farmer had for sale at the farmers market
7x + 2x - 3x idk it give me a hand
Answer:1x
Step-by-step explanation:
Answer:
the answer is 6x
Michael loves to run. It takes him 25.3 minutes to complete a 10 mile run. At this rate, how long would it take him to run 16 miles?
Answer:
0.632
Step-by-step explanation:
divide 16 ÷ 25.3 rurhrhr rhrhrhdh dhejejej ejehejeje behe
Please Help! 7+b=b+7
Answer:
Yes, 7+b=b+7
Step-by-step explanation:
It is correct because the both are the same equation; however, the numbers and variables are just switched around. Therefore, that doesn't change the value of the equation.
Hope this helps!
Answer:all real numbers are solutions
Step-by-step explanation:
which phrase should be inserted on the line to correctly compare the two factions 4/5 + 16/20 a is greater than B cannot be compared C is less than and D is equal to
First, let's reduce our fractions to their simplest forms.
4/5 is already in its simplest form
16/20 = 4/5.
Now that both of por fractions are in their simplest forms, let's compare them.
4/5 is equal to 4/5
D is the correct answer.
Answer: C. is less than
Step-by-step explanation: the person above me is wrong
Factoring Completely:
x^2-16x+48
Answer:
(x - 12)(x - 4)
Step-by-step explanation:
Given
x² - 16x + 48
Consider the factors of the constant term (+ 48) which sum to give the coefficient of the x- term (- 16)
The factors are - 12 and - 4, since
- 12 × - 4 = + 48 and - 12 - 4 = - 16 , thus
x² - 16x + 48 = (x - 12)(x - 4) ← in factored form
is it ever possible that |x| = -x and can you explain please
Answer:
No
Step-by-step explanation:
The reason is that the absolute value of x is always not going to equal a negative.
|-1| = 1 (correct)
|-1| = -1 (incorrect)
Answer:
Never.
Step-by-step explanation:
Whenever there is an absolute value is a variable or number and it's negative or positive, the answer will always be positive ex., |-x| = x |x| = x
What is 15% of $79.99?
Answer:
11.9985
Step-by-step explanation:
79.99 x .15 = 11.9985
Which is the value of 3b² — b when b = 5?
Answer:
The answer is
70Step-by-step explanation:
3b² - b
when b = 5
Substitute the value of b that's 5 into the expression
That's
3(5)² - 5
= 3(25) - 5
= 75 - 5
We have the final answer as
70Hope this helps you
It takes 2 finish carpenters 8 days to do the work. Each finsh carpenter ears $37.50 per hour and works 7 hours per day. How much will it cost to hire the finish carpenters?
Answer:
Total cost= $4,200
Step-by-step explanation:
Giving the following information:
It takes 2 finish carpenters 8 days to do the work.
Each finish carpenter ears $37.50 per hour and works 7 hours per day.
To determine the total cost, first, we need to structure the total cost formula:
Total cost= 2*(37.5x)
x= total number of hours
Now, for 8 days:
Total hours= 8*7= 56
Total cost= 2*(37.5*56)
Total cost= $4,200
A car is traveling down a highway at a constant speed, described by the equation LaTeX: d=65td=65t, where represents the distance, in miles, that the car travels at this speed in t hours. How many miles does the car travel in 1.5 hour?
Answer: The car travels 97.5 miles in 1.5 hour.
Step-by-step explanation:
Given: A car is traveling down a highway at a constant speed, described by the equation , described by the equation [tex]d=65t[/tex], where represents the distance, in miles, that the car travels at this speed in t hours.
To find : Number of miles car travel in 1.5 hour.
Simply put t= 1.5 in the given expression , we get
65(1.5)= 97.5
That means , the car travels 97.5 miles in 1.5 hour.
Diane delivers newspapers for $5 a day plus $0.04 per
newspaper delivered. Jeremy delivers newspapers for $2 a
day plus $0.10 per newspaper delivered. How many
newspapers would Diane and Jeremy each need to deliver in order to earn the same amount?
30
75
83
50
Answer:
50
Step-by-step explanation:
For x number of newspapers, their earnings are:
D = 5 + 0.04x
J = 2 + 0.10x
5 + 0.04x = 2 + 0.10x
3 = 0.06x
x = 50
Major went to the Appalachian Fair. The entrance fee was $10, and he purchased 25 tickets. Write an equation to find the price of each ticket if he spent a total of $47.50. You do NOT have to solve it.
Answer:
25x+10=47.50
Step-by-step explanation:
x represents the ticket amount and if he buys 25 tickets then that will be 25 times x. Plus the $10 entrance fee.
If I want to buy a pair of sunglasses and the original price is $120, how much will I pay if they are 50% off? What if they were 25% off?
Answer:
$60, $90
Step-by-step explanation:
Amount paid when 50% off
=$ 120 - 50/100 * 120 = $ 120 - $60 = $60
Amount paid when 25% off
=$ 120 - 25/100 * 120 = $ 120 - $30 = $90
The formula a = m − n represents the actual cost, a, of an item with original price m after a coupon for n dollars off is applied. Solve the formula for the amount of the coupon. Group of answer choices n=m−a n = −m − a n=a+m n = a − m
Answer:
n = m − a
Step-by-step explanation:
Given:
a = m - n
Where,
a = Actual cost an item
m = Original price
n = amount of coupon
Solve the formula for the amount of the coupon
a = m - n
Add n to both sides
a + n = m - n + n
a + n = m
Subtract a from both sides
a + n - a = m - a
n = m - a
Amount of coupon, n = Original price of an item, m - Actual cost of an item, a
Given M is the midpoint ABA. The coordinate of A are (-4,2) and the cordinates of M are (1,1). Find the coordinate of B. Choose (-2,4) (-2,0) (6,4) (6,0)
Answer:
The coordinate of B is (6,0)
Step-by-step explanation:
Given;
coordinate of A = (-4,2) = (x₁, y₁)
coordinate of M = (1,1)
let coordinate of B = (x₂, y₂)
Mid-point is given by;
[tex]M = \frac{X_1 + X_2}{2} , \frac{Y_1 + Y_2}{2}\\\\M= (1,1)\\\\1,1 =\frac{X_1 + X_2}{2} , \frac{Y_1 + Y_2}{2}\\\\ \frac{X_1 + X_2}{2} = 1 ----equation (1)\\\\\frac{Y_1 + Y_2}{2} = 1 -----equation(2)\\\\Solving \ equation(1)\\\\\frac{-4+ X_2}{2} = 1\\\\-4+ X_2 = 2\\\\X_2 = 2+4\\\\X_2 = 6\\\\Solving \ equation(2)\\\\\frac{Y_1 + Y_2}{2} = 1\\\\\frac{2+ Y_2}{2} = 1\\\\2+Y_2 = 2\\\\Y_2 = 2-2\\\\Y_2 = 0\\\\B = (X_2, \ Y_2)\\\\B = (6, \ 0)[/tex]
Therefore, the coordinate of B is (6,0)
Please help. The tiger lost 9 games won 7 games and tied 2 games what percent of the games did they win.
Answer:
about 39%
Step-by-step explanation:
In order to find the percent, you need to find the total amount of games they played first.
9 games + 7 games + 2 games = 18 games total
Divide the number of games they won by the total amount of games they played:
7 games / 18 games = about 39%
Given the diagram below, what is the length of segment ef
Equations: -5n=1 n+15= (-10) n/5 = -1/5 n-13= -12 Solutions n= -25 n= -1/5 n= -1 n=1 Match each equation with it's solution
Answer:
-5n = 1 ⇒ n = -¹/₅ n+15 = (-10) ⇒ n = 25 n/5 = -1/5 ⇒ n = -1 n-13= -12 ⇒ n = 1Step-by-step explanation:
-5n = 1
÷(-5) ÷(-5)
n = -¹/₅
n + 15 = (-10)
-15 -15
n = -25
n/5 = -1/5
×5 ×5
n = -1
n - 13 = -12
+13 +13
n = 1
Answer:
-5n = 1 : n = -¹/₅
n+15 = (-10): n = -25
n/5 = -1/5 : n = -1
n-13= -12: n = 1
Please help solve this and show work 4(x+1)-9=11
Answer:
x = 4
Step-by-step explanation:
Given
4(x + 1) - 9 = 11 ( add 9 to both sides )
4(x + 1) = 20 ( divide both sides by 4 )
x + 1 = 5 ( subtract 1 from both sides )
x = 4
Answer:
Step-by-step explanation:
4x + 4-9=11
4x -5 =11
4x -5+5 =11+5
4x =16
4x divide by 4 is equal to 16 divide by 4
x is equal to 4
The perimeter of a rectangle is 150. The length of the rectangle is 9 more than the width. Find the width.
Answer:
33
Step-by-step explanation:
Length = Width + 9
Perimeter = Length + Length + Width + Width
Perimeter = Width + 9 + Width + 9 + Width + Width = 150
4(Width) + 18 = 150
Subtract 18 from both sides:
4(Width) + 18 - 18 = 150 - 18
4(Width) = 132
Divide 4 on both sides:
[tex]\frac{4(Width)}{4} =\frac{132}{4}[/tex]
Width = 33
is -3.16227766017 a rational or irrational number?
Answer:
rational
Step-by-step explanation:
If the given decimals are all there is, then you can express this number as a ratio (=fraction), i.e.,:
[tex]\frac{-316227766017}{100000000000}[/tex]
Use elimination to solve and match each system of equations to the correct solution.
2x-9y=-51
2x-3y=-9
I’ll mark brainliest to the first answer I get
[tex]\begin{cases}2x-9y=-51\\2x-3y=-9\end{cases}\\\\\\\begin{cases}(2x-9y)(-1)=-51(-1)\\2x-3y=-9\end{cases}[/tex]
[tex]\begin{cases}-2x+9y=51\\2x-3y=-9\end{cases}[/tex] (adding the second equation to the first one)
[tex]\begin{cases}\qquad6y=42\\2x-3y=-9\end{cases}\\\\\\\begin{cases}\qquad y=7\\2x-3y=-9\end{cases}\\\\\\\begin{cases}y=7\\2x-3(7)=-9\end{cases}\\\\\\\begin{cases}y=7\\2x-21=-9\end{cases}\\\\\\\begin{cases}y=7\\2x=12\end{cases}\\\\\\\begin{cases}x=6\\y=7\end{cases}[/tex]
Need help please. Please help me.
Answer:
Exact Form:
2/45
Decimal Form:
0.04 (4 being repeated)
Please help me ASAP 100 PTS
Answer:
The second choice
Step-by-step explanation:
Perimeter is calculated by adding the length and width but multiplied by 2. You add 3.2 and 1.5 and get 4.7. Multiply 4.7 by 2 would give you 9.4.
Area is multiplying the length and width. 3.2 multiplied by 1.5 would be 4.8
The answer is B.P=9.4 m, A 48m^2