When choosing a loan, the best scenario is lower APR, shorter loan, and extra principal payments.
How to illustrate the information?A loan is a type of debt that a person or other entity incurs. The lender advances the borrower a certain amount of money, typically on behalf of a business, financial institution, or government. The borrower accepts a specific set of terms in return, which may include any financial costs, interest, a repayment schedule, and other requirements.
APR represents the total yearly cost of a loan to the borrower, including all fees. The APR is stated as a percentage, just like an interest rate. It does, however, contain other costs or fees such as mortgage insurance, the majority of closing costs, discount points, and loan origination fees, unlike an interest rate. It should be noted that the APR simply means the annual percentage rate which is the interest that's generated on the amount borrowed.
Therefore, it should be noted that when choosing a loan, the best scenario is a lower APR, shorter loan, and extra principal payments
This is important in order to reduce the value that the person will pay and make it easier to return the loan.
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a group of 10 people have gotten together to play basketball. they will begin by dividing themselves into two teams of 5 players each. one team will wear red uniforms and the other will wear blue uniforms. in how many ways can this be done?
Answer:
9!
Step-by-step explanation:
Because a person who switch with 9 people, then another person switch with 8 people (because the first person was already counted), then another person who switch with 7 people (becsuse the first and the second person was already counted)... and you will get 9!. 9! is 9 factorial which is 9×8×7×6×5×4×3×2×1. :)
Can someone please help me really quick
The amount of the shed that Jack would have built when Kyle finishes the shed is 8/25.
How much shed would Jack have built?A fraction is a non-integer that is made up of a numerator and a denominator. The numerator is the number above and the denominator is the number below. An example of a fraction is 8/25. 8 is the numerator and 25 is the denominator.
When Kyle finishes building the shed, he would have finished building a fraction of 1/1 of the shed. S
So, the amount of shed, that Kyle still needs to build to complete the shed is 1 ÷ 5/8
= 1 x 8/5 = 8/5
The amount of shed that Jack will have built when Kyle finishes the shed is:
8/5 x 1/5 = 8/25
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Solve the following radical equations.
∛x-1=√x-1
The solution of the radical equation of x is 1.
A linear equation in one variable is an equation which can be represented in the form of ax+b where x is the variable and 'a' is the coefficient and 'b' is the two constants.
A radical equation is defined as an equation where the variable is under a radical or root.
We know that n-th root of a variable x can be written as x to the power of (1/n). Mathematically : [tex]\sqrt[n]{x} =x^{\frac{1}{n} }[/tex]
In the given equation:
∛x-1=√x-1
adding 1 to both sides we get:
or, ∛x=√x
Cross multiplying we get:
or, ∛x/√x =1
We know that (aˣ/aⁿ)=a⁽ˣ⁻ⁿ⁾
therefore :
or, [tex]x^{\frac{1}{3}-\frac{1}{2} }=1[/tex]
or, [tex]x^{-\frac{1}{6} }=1[/tex]
or, x=1
Hence the value of x in the radical equation is 1
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The number line shows the distance in meters of two birds, A and B, from a worm located at point X:
A. Using subtraction, the distance between the two birds = |-2.5 - 2.5| = |-5| = 5 meters.
B. Using additive inverses, the distance = 2.5 + 2.5 = 5 meters
How to Find the Distance on a Number Line?The distance between any two points on a number line is the absolute difference of the coordinates of the two points.
What is an Additive Inverse of a Number?The additive inverse of a number is the number that is added to the number to make it zero. For example, the additive inverse of a is -a.
Part A:
Using subtraction, the distance between the two birds = |-2.5 - 2.5| = |-5| = 5 meters.
Part B:
The additive inverse of -2.5 is 2.5.
Using additive inverses, the distance = 2.5 + 2.5
Using additive inverses, the distance = 5 meters
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PLEASE HELP!!! I NEED HELP ASAP IF YOU CAN HELP IT WILL BE VERY NICE!!!!!!!!! (PLEASE HELP ME WITH THE QUESTIONS BELOW)
The solution to question 8, in scientific notation is 9.563 x 10¹¹.
The solution to question 9, in scientific notation is 9.83 x 10⁸.
The solution to question 10, in scientific notation is 1.35759 x 10⁹.
The solution to question 11, in scientific notation is 8.70366 x 10⁴.
What is scientific notation?
Scientific notation is a form of presenting very large numbers or very small numbers in a simpler form.
Solution to question 8, in scientific notation(9.5 x 10¹¹) + (6.3 x 10⁹)
= (950 x 10⁹) + (6.3 x 10⁹)
= (950 + 6.3) x 10⁹
= 956.3 x 10⁹
= 9.563 x 10¹¹
Solution to question 9, in scientific notation(1.03 x 10⁹) - (4.7 x 10⁷)
= (103 - 4.7) x 10⁷
= 98.3 x 10⁷
= 9.83 x 10⁸
Solution to question 10, in scientific notation(1.357 x 10⁹) + 590,000
= (1.357 x 10⁹) + (5.9 x 10⁵)
= (13570 x 10⁵) + (5.9 x 10⁵)
= (13570 + 5.9) x 10⁵
= 13,575.9 x 10⁵
= 1.35759 x 10⁹
Solution to question 11, in scientific notation87,100 - (6.34 x 10¹)
= 87,100 - 63.4
= 87,036.6
= 8.70366 x 10⁴
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Mike drove a nail 2.5 in. long through a board 0.75 in. thick into a post. How far did the nail go into the post?
Answer:
1.75 inches deep into the post
Step-by-step explanation:
First, you do 2.5 - 0.75 which is 1.75 in
The answer is 1.75 in
Hope this helps!
I really dont know how to do this please help!
Angles ECD and ACB are congruent, since they form a pair of vertical angles. Let their measure by [tex]y[/tex].
The sum of the interior angles of any triangle is 180°. This means
• in ∆CDE, we have
[tex]x + 100^\circ + y = 180^\circ[/tex]
• in ∆ABC, we have
[tex]4x + 49^\circ + y = 180^\circ[/tex]
Solve for [tex]x[/tex] by eliminating [tex]y[/tex].
[tex](x + 100^\circ + y) - (4x + 49^\circ + y) = 180^\circ - 180^\circ[/tex]
[tex]-3x + 51^\circ = 0[/tex]
[tex]3x = 51^\circ[/tex]
[tex]\boxed{x = 17^\circ}[/tex]
Find the total amount given the original price and tax rate. Round to the nearest cent if necessary
$31.69, 6%
The total amount including the tax rate is found as $34.
What is defined as the percentage?A percentage is a fraction of a whole articulated as just a number between 0 and 100. Nothing is zero percent, everything is 100 percent, half of everything is fifty percent, and nothing is zero percent. To calculate a percentage, divide the fraction of the total by the total and multiply by 100.For the stated conditions in the question.
The original amount = $31.69.
The tax rate is 6%.
The total mount will be the sum of original amount and tax price.
First calculated the tax price;
6% of 31.69 = 6×31.69/100
6% of 31.69 = 1.9014
Tax price = $1.9014.
Total price = original amount + tax price
Total price = $31.69 + 1.9014
Total price = 33.5914
Total price = $34 (Round to the nearest cent.)
Thus, the total amount is estimated as $34.
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How do you solve this?? It says solve for X.
Answer:
x = 7
Step-by-step explanation:
Ok, so these angle are equal, because they are opposite angle
So we could write as x+16 = 4x - 5
Now we solve the equation:
x+16 = 4x - 5
16+5 = 4x -x
21 = 3x
7 = x
In the figure below, AD and AB are tangent to the circle centered at O. The segment DB passes through the center of the circle. Given that AD=10.6 and DB=5.6, find DC.
The length of DC found using Pythagorean theorem given AD = 10.6 and DB = 5.6 and AD and AB are tangent of circle O, is DC = 1.6
How can Pythagorean theorem be used to find DC?The given parameters are;
The tangents of circle O = AD and AB
The segment passing through O = DB
AD = 10.6
DB = 5.6
Required; The length of DC
Solution;
According to Pythagorean theorem, we have;
AB = √(10.6² - 5.6²) = 9
AB = AC = 9
AD = DC + AC
Which gives;
10.6 = DC + 9
DC = 10.6 - 9 = 1.6
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Four more than the quotient of a number and three is at least nine.
Answer:
umber is greater than or equal to 15.
Step-by-step explanation:
Let number be x
Quotient of number and 3 =
4 more than = 4+
4+ is at least 9
4+≥9
Simplifying it ,we get
≥9-4
≥5
x ≥ 5(3)
x≥15
Number needs to be greater than or equal to 15
Equation
(x ÷ 3) + 4 ≥ 9
___________
Solution
x ≥ 15
Step-by-step explanation:
Solve the inequality
[tex]\left(x\div3\right)+4\ge \:9\\x\div 3+4-4\ge \:9-4\\x\div 3\ge \:5\\3x\div 3\ge \:5\cdot \:3\\x\ge \:15[/tex]
Thus, the inequality solution is x ≥ 15
how do i right it please help
The contrapositive statement is:
If x ≠ 2, then x^2 ≠ 4
And it is false.
How to write the contrapositive statement?
First, we have two propositions:
p = "x^2 = 4"
q = "x = 2"
The contrapositive statement is:
¬q → ¬p
The negation of the propositions are:
¬q = "x ≠ 2"
¬p = "x^2 ≠ 4"
Then the contrapositive statement with the given propositions is:
If x ≠ 2, then x^2 ≠ 4
Now, is this statement true?
No, because we can have:
x = -2 (which is different than 2, so the hypothesis is true)
and x^2 = (-2)^2 = 4
Then the conclusion is false, so the statement is false.
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simplify -2(-3 - x) + 6x
Answer:
0.75
Step-by-step explanation:
1. distribute the 2 into the perenthesis
2. combine like terms
3. simplify on both sides
Which angle is the included angle for sides ABand BC?
A
C
O Angle B
Angle C
O Angle A
B
For the given sides AB and BC the angle included would always be Angle B
When we form a triangle we name the vertex as A, B and C. So, the sides AB and BC will always have an Angle B regardless of the naming convention we use.
A triangle is a polygon with three vertices and three edges that has three sides. It is a basic geometric shape. The term "abc" refers to a triangle containing the vertices a, b, and c. Any three non-collinear points in Euclidean geometry combine to create a singular triangle and a singular plane.
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find the constant of proportionality on this graph
PLEASE HELP GIVING BRAINLIEST :))
Answer:
I think the constraint of proportionality is 25 because each dot it increases buy 25.
I also believe that at 10 the total should be at 225.
y=8 and x= -1 are equations parallel, perpendicular or neither
Answer:
Parallel
Step-by-step explanation:
Jack is in a marathon. He rides his bike 64 miles in 4 hours. How many miles does Jack ride his bike per hour?
Answer: 16mph
Step-by-step explanation:
64 miles divided by the 4 hours comes out to 16 per hour
Answer: 16 miles per hour
What volume in milliliters, of a 60% hydrochloric acid solution must be added to 100ml of a 30% hydrochloric acid solution to make a 36% hydrochloric acid solution?
Answer:
Since 30% of 100 ml = .3*100 = 30 ml
60 % of X ml = .6x which we are trying to solve
add
(X+100).36 = 30+.6x
.36x+36 = 30+.6x
so
6 = .24x
x = 25 ml
Step-by-step explanation:
I hope this helps you
- The flag of Equatorial Guinea contains an isosceles triangle.
(Recall that an isosceles triangle contains two angles with the
same measure.) If the measure of the third angle of the trian-
gle is 30° more than twice the measure of either of the other
two angles, find the measure of each angle of the triangle.
(Hint: Recall that the sum of the measures of the angles of a
triangle is 180°.)
Please show me step by step how you got the answer, Thanks
The measure of each angle of the triangle is 40°, 40° and 100°.
What is the triangle?
A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.Given:
In an isosceles triangle two of the three angles measure the same.
Let the two angles be equal to x.
The third angle is 20 more than twice the measure of either angle, which means 2x+20.
The angles of a triangle add up to 180 degrees.
(x)+(x)+(2x+20)=180
4x+20=180
4x=160
x=40 degrees
So, the two angles measure 40° each and the third angle would be,
2x+20
=2*40+20
=100°
Therefore, the measure of each angle of the triangle is 40°, 40° and 100°.
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Fill in the tables and create a recursive and explicit equation for all three questions.
Answer:okay
Step-by-step explanation:hm
After three quarters of the season has past, the Tigers basketball tean has won 48 out of 72 games. How many of the remaining games must they win in order to win more than 70% of all their games this season?
Answer: at least 3 more games
Step-by-step explanation:
70% of 72 is 50.4
50.4 - 48 = 2.4
Because one can't win only a fourth of a game, you need to round up. Bringing us to at least 3 more games to win
Ruth's new lunch box is only 5 centimeters in height, so it fits in her backpack along with all her books. The lunch box has 3 sections for different types of food. The length and width of the lunch box are 22 centimeters and 14 centimeters. What is the volume of Ruth's new lunch box?
The volume of Ruth's new lunch box is 1,540 cm³.
What is the volume?The volume is a measure of an object occupied in a three-dimensional space.
Volume is a three-dimensional quantity that measures the capacity of a shape or the amount of three-dimensional space a closed figure can occupy.
The formula for computing a volume is height x length x width.
Data and Calculations:Height = 5 cm
Length = 22 cm
Width = 14 cm
Volume = 1,540 cm³ (5 x 22 x 14)
Thus, the volume of Ruth's new lunch box, showing the three-dimensional space within, is 1,540 cm³.
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A sorter at a recycling center separates pieces of glass
into large bins. The table shows the number of pieces
of each color of glass. If each bin can hold 150 pieces of
glass, how many bins will the pieces completely fill? table:
The number of large bins that the pieces will completely fill is 3.
How many bins will the pieces completely fill?Each large bin can contain only one type of colour. In order to determine the number of large bins that would be used for each color, divide the color for each piece.
Number of large bins that would be used for Brown color = 283 / 150 = 1.89.
1 large bins would be completely filled with brown glass color
Number of large bins that would be used for Green color = 116 /1 50 = 0.7
No large bin would be completely filled with the green glass color
Number of large bins that would be used for Clear color = 315 / 150 = 2.1
2 large bins would be completely filled with the clear glass color
The total number of large bins that would be completely filled = 1 + 2 = 3
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Which number sentence represents 8 times as many as 9
Answer:
72
Step-by-step explanation:
this number sentence will be represented as,
72 is 8 times as many as 9
Solve one step equalities using multiplication & division
X/2 = 17/1
Answer:
[tex] \sf \: x=34[/tex]
Step-by-step explanation:
Let's solve your equation step-by-step.
x/2 = 17/1
Step 1: Cross-multiply.
x/2 = 17/1
x*(1)=(17)*(2)
x=34
a chessplayer won 32 of the games he played if the ratio of wins to lossses was 8:3 how many games did he play total
Answer:
Step-by-step explanation:
i don't know if this is right but here is how i would do it.
Wins: Losses = 8:3 = 32: 12 = 32 wins + 12 losses = 44 games played.
In 11 years, John's age will be 5 less than 5 times his current age. How old is he?
If xrepresents John's current age, which of the following equations could be used to solve this problem?
Answer:
x=4
Step-by-step explanation:
The difference of two numbers is 29. The largest number is 3 more than twice the smallest number. What are the two numbers?
Answer:
x + y = 29 equation 1
Five more than means add 5+5 three times the smaller number:
3x equals the larger number: = y 3x + 5 = y equation 2
From equation 1x + y = 29subtract x from both sidesy = 29 - x
We now have two things that are both equal tothe larger number y.
They must be equal to each other.
3x + 5 = 29 - x
Add x to both sides 3x + x + 5 = 29 - x + x4x + 5 = 29
subtract 5 from both sides 4x + 5 - 5 = 29 - 54x = 24
divide both sides by 44x/4 = 24/4x = 6
We now know x = 6
We also know y=29-x y = 29 - 6y = 23
Your numbers are 6 and 23
Step-by-step explanation:
Find the area of the polygon with th
Ay
7.
A(-2,3)
-4
C(-2,-3)
4
2
-2
4-
2'
4 X
B(3, -3)
The area of the triangle is 15 square units after using the distance formula.
What is a distance formula?
It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
The distance formula can be given as:
[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
It is given that:
The triangle is shown on the coordinate plane.
Using the distance formula:
The height of the triangle:
[tex]\rm AC=\sqrt{(-2+2)^2+(-3-3)^2}[/tex]
AC = 6 units
Again using the distance formula:
[tex]\rm BC =\sqrt{(3-(-2))^2+(-3-(-3))^2}[/tex]
BC = 5 units
The area of the triangle = (1/2)6x5
The area of the triangle = 15 square units
Thus, the area of the triangle is 15 square units after using the distance formula.
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The atoms of a certain element each contain 11 protons and 1 valence electron. Which statement correctly identifies this element and describes its chemical reactivity?
The correct option is D). The element is sodium, and it is highly reactive.
What type of atom has 11 protons?The atomic number of the element sodium (Na) is 11. It means that the sodium has 11 protons in total and because it is neutral it has 11 number of electrons.
Valence electrons (VE) refers to the electrons that usually presents in the outer shell of an atom. Thus, the sodium has only 1 valence electron.
Basically, the mass number of an element tells about the number of protons and neutrons in an atom and sodium is the atom that has 11 atomic number.
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Complete question:- The atoms of a certain element each contain 11 protons and 1 valence electron. Which statement correctly identifies this element and describes its chemical reactivity?
A The element is sodium, and it is highly reactive.
B The element is fluorine, and it is not very reactive.
C The element is sodium, and it is not very reactive.
D The element is fluorine, and it is highly reactive.