Answers
Hope this helps!
Related Questions
Jermaine’s father owes $6,300 in interest at the end of a 60-month car loan at a 7% simple annual interest rate. What was the original loan amount?
Answers
6300 = P * .07 * (60/12)
6300 = .35P
6300 / .35 = P
18000 = P
$18,000 is the answer you are looking for! I hope this helps! :D
Answer:
$18,000
Step-by-step explanation:
It is given that the interest amount $6,300
We will calculate the principal amount.
So we use the formula
I = prt
P = Principal amount
r = rate of interest 7% ( 0.07 )
t = time in years 60 months ( [tex]\frac{60}{12}[/tex] years )
6,300 = P × 0.07 × [tex]\frac{60}{12}[/tex]
6,300 = P × 0.07 × 5
6,300 = 0.35P
[tex]\frac{6,300}{0.35}[/tex] = P
P = $18000
The original loan amount was $18,000.
Keiko runs 10 miles in 75 minutes. at the same rate, how many miles would she run in 69 minutes?
Answers
The admission fee at a small fair is $1.50 for children and $4.00 for adults. on a certain day, 2200 people enter the fair and $5050 is collected. how many children and how many adults attended that day?
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1.5x + 4y = 5050
x + y = 2200
From there solve the system of equations where x represents the number of children and y represent the number of adults.
x + y = 2200
x = 2200 - y
Plug "x" into the other system of equation.
1.5(2200-y) + 4y = 5050
3300 - 1.5y + 4y = 5050
2.5y = 1750
y = 700
Since you have the value for y, solve for x.
x + y = 2200
x + 700 = 2200
x = 1500
So, the solution is: 1500 children and 700 adults attended.
Just to check our answers:
1.5x + 4y = 5050
1.5(1500) + 4(700) = 5050
2250 + 2800 = 5050
5050 = 5050
What is the surface area of this cone ?
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Find the rectangular coordinates of the point that has polar coordinates , 4, −3π/4
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x= r cosθ
y= r sinθ
r = 4 and θ = −3π/4
cos( −3π/4 ) = cos( 3π/4 ) = cos ( π - π/4) = - cos (π/4)= - √2/2
sin( −3π/4 ) = - sin( 3π/4 ) = - sin ( π - π/4) = -sin (π/4)= - √2/2
x = - 2 √2
y = - 2 √2
Please answer me this equation
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Perimeter is a function of the number of hexagons.
[tex]p_1=6\\ p_2=2*6-1\\ p_3=3*6-2\\ p_4=4*6-3\\\\ \boxed{p_n=n*6-(n-1)}\ =6n-n+1=\boxed{5n+1}\\ [/tex]
Find (f•g)(x)=x^2-7x+12 and g(x)=3/x^2-16
Answers
The product of the two functions, (f•g)(x) is equal to:
(x^2 - 7x + 12) * 3 / (x^2 - 16)
To simplify, factor the two polynomials:
x^2 - 7x + 12 = (x - 4 ) (x - 3 )
x^2 - 16 = (x - 4) (x +4)
=> (f•g)(x) = (x - 4)(x - 3) * 3 / [ (x - 4) (x +4) ] = 3 (x - 3) / (x + 4)
Answer: 3 (x - 3) / (x + 4)
=
Triangle PQR has vertices P(–2, 6), Q(–8, 4), and R(1, –2). It is translated according to the rule (x, y) → (x – 2, y – 16).
What is the y-value of P'?
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Answer:
The answer is -10
Step-by-step explanation:
Solve the triangle. A = 46°, a = 31, b = 27
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To solve the given triangle with A = 46°, a = 31, and b = 27, we use the Law of Sines to first find angle B, then use the sum of angles to find angle C, and finally, use the Law of Sines again to find side c.
Explanation:To solve the triangle with the given information A = 46°, a = 31, and b = 27, we need to use the Law of Sines or the Law of Cosines. Since we have one angle and the side opposite to it (a = 31), as well as another side (b = 27), we first need to find angle B using the Law of Sines:
\frac{\sin(A)}{a} = \frac{\sin(B)}{b}
\frac{\sin(46°)}{31} = \frac{\sin(B)}{27}
By solving for sin(B), we get:
\sin(B) = \frac{\sin(46°) * 27}{31}
Next, we calculate the value of sin(B) and then angle B. After that, we can find angle C by using the fact that the sum of angles in a triangle is 180°:
A + B + C = 180°
C = 180° - A - B
Once we have angle C, we can use the Law of Sines again to find side c:
\frac{\sin(C)}{c} = \frac{\sin(A)}{a}
By rearranging and solving for c, we get:
c = \frac{\sin(C) * a}{\sin(A)}
This process will give us the lengths of all sides and the measurements of all angles, thus solving the triangle.
The sum of three consecutive even integers is less than 84. find the set of these three integers with the greatest sum.
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x + x + 2 + x + 4 < 84
3x + 6 < 84
3x < 84-6
3x < 78
x < 26
so highest possible value of x is 24 so lets add up the 3 numbers to
check if the sum is < 84
we have 24 + 26 + 28 = 78
so answer is 24, 26 and 28.
Find f(x) and g(x) so the function can be expressed as y = f(g(x)). There may be more than one possible decomposition.
y = (x^3 + 1)^2
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and f(x) would be (x + 1)^2
Which function grows at the fastest rate for increasing values of x?
p(x)=5x3+3
f(x)=8x2−3x
h(x)=2x
g(x)=19x
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And btw answer is p(x)
The function which has the fastest rate for increasing values of x are:
[tex]p(x)=5x^3+3[/tex]
Step-by-step explanation:We are given four polynomial functions as:
[tex]p(x)=5x^3+3\\\\\\ f(x)=8x^2-3x\\\\\\h(x)=2x\\\\\\g(x)=19x[/tex]
Now as we know that if the degree of the polynomial increases the function becomes more extreme i.e. it increases very quickly with the increasing value of x.
Hence, among the given options the function which has the fastest rate of increase is:
[tex]p(x)=5x^3+3[/tex]
( Since, it's degree is 3 which is highest as compared to the other polynomials (one of degree 2 and 2 of degree 1) )
How many, and what type of, solutions does 6x2−2x+7=0 have?
A.) 2 nonreal solutions
B.) 2 irrational solutions
C.)2 rational solutions
D.) 1 rational solution
Answers
Answer:
Nope! The answer is 2 Nonreal Solutions i took the test! :)
Step-by-step explanation:
The given quadratic equation will have 2 nonreal solutions. The correct option is A.
What is a quadratic equation?
A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication and division.
Given that the quadratic equation is 6x²−2x+7=0. The equation can be solved as below;-
6x²−2x + 7 = 0
The equation will have two non-real values for x. The correct option is A.
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If i was born in 2002 how old will i be in 2130
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2130-2002=128. We use subtraction due to that we start in 2002 but end in 2130, and therefore find the difference
Which statements are true regarding the diagram
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Complementary means equal to 90 degrees.
Supplementary means equal to 180 degrees.
Choice #1 is correct because the angles have to be equal to 90 degrees, and in the picture you can see that those two together are a right angle, which is 90 degrees.
Choice #2 is incorrect because on the picture it is obviously less than 180 degrees.
Choice #3 is correct (same reason #1 is correct)
Choice #4 is correct because we can see that HNL is a straight line, which is equal to 180, and the angles add up toe the line HNL.
Choice #5 is incorrect because MNG was already a 90 degree angle, so adding another angle would not make it a right angle again.
I hope this helps!!
Answer:
A. AngleGNH and AngleHNJ are complementary.
C.AngleKNL and AngleLNM are complementary.
D.mAngleHNK + mAngleKNL = 180°
Step-by-step explanation:
Show that the statement is true. If GH has endpoints G(−2, 1) and H(4, −1), then the midpoint M of GH lies on the line y = −x + 1.
The midpoint M is ( , ). The midpoint does not lie or lies on the line y = −x + 1 since its coordinates satisfy or do not satisfy the equation.
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(-2,1)....x1 = -2 and y1 = 1
(4,-1)...x2 = 4 and y2 = -1
time to sub
m = (-2 + 4) / 2 , (1 + (-1) / 2
m = (2/2), (0/2)
m = (1,0) <==
y = -x + 1.....(1,0)...x = 1 and y = 0
0 = -1 + 1
0 = 0 (correct)
so the midpoint M (1,0) lies on the line since its coordinates satisfy the equation <===
Point M is the midpoint of LN. LM = 7x - 12 and MN = 3x + 16. Find LM.
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7x - 12 = 3x + 16 (LM=MN)
7x = 3x + 28
4x = 28
x = 7
Now that we know the value of x, we can find the value of LM by plugging the value in the equation.
LM = 7(7) - 12
LM = 49 - 12
LM = 37
A pet-sitting company charges $25 to board a pet for one day. It also charges all customers an extra $7.50 to trim the pet's nails once per stay.
How much will it cost to board a dog for two weeks?
A.
$57.50
B.
$65.00
C.
$357.50
D.
$455.00
Answers
2 weeks = 14 days
14 * 25 = 350
350 + 7.50 = 357.50
Answer is C
Simplify -4/7 + (-4/3)
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- 12/21 - 28/21 = -40/21
your answer is -1 19/21
hope this helps
If P is the midpoint of ST, SP = x + 4, and ST = 4x, determine the length of ST
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4x = 2(x + 4)
4x = 2x + 8
4x - 2x = 8
2x = 8
x = 8/2
x = 4
ST = 4x = 4*4 = 16 units
Answer:
ST = 16.
Step-by-step explanation:
Given : P is the midpoint of ST, SP = x + 4, and ST = 4x,
To find : Determine the length of ST.
Solution : We have given P is mid point of ST.
It mean P divide the ST in to two equal parts .
So, SP = PT .
We can say
ST = 2 SP .
Plug the given values SP = x + 4, and ST = 4x,
4x = 2 ( x +4).
4x = 2x + 8.
On subtracting both sides by 2x
4x -2x = 8.
2x = 8
On dividing both sides by 2
x = 4.
ST = 4 * 4 = 16.
Therefore, ST = 16.
Which is a pair of vertical angles ?
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The pair of angles that are vertical are <TRS and <VRW.
Determining vertical anglesTo calculate vertical angles, take the following actions:
Recognize the intersecting lines: Vertical angles are created when two lines cross.
Find the common vertex: The point where the two lines join is the common vertex for vertical angles.
Recognize the pairs of opposite angles: Two pairs of opposite angles cross the intersection point to generate vertical angles.
Hence the pair of angles that are vertical are <TRS and <VRW.
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24 divided by 2 find the qoutient
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24/2 = 12
the quotient is 12
Answer: So your answer is 12 for 24 divided by 2 which gives you 12 I hope this helps
Step-by-step explanation:
24 divided by 2 = 12
12 times 2= 24
Or 2 times 12 = 24
How many even numbers can be formed from the digits 1,2,3,4,5?
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In combining like terms when adding or subtracting do you add the exponents together
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example : 2b^2 + 3 + 3b^2 = 5b^2 + 3
but keep in mind, they have to be like terms to be able to add and subtract them...for instance 2b^2 + 3b^3...u cannot add/subtract them because they are not like terms.
Answer: If adding exponents, they have to the same value or same coefficient.
For example:
1) 2x^2+2x^2= 4x^2
The sum of two even numbers is even. the sum of 6 and another number is even. what conjecture can you make about the other number?
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Answer: We can say that the other number is even since the sum of two even numbers is even.
The required conjecture is given as the other number must be an even number.
What is an even number?An even number is defined as a number that is a multiple of 2 is called even number, such as 2, 4, 6, 12, and so on.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
here,
The sum of two even numbers is even. Following the statement,
If the sum of 6 and another number is even, that another number must be even to get the sum of 6 and another number to be even, while 6 it self is an even number.
Thus, the required conjecture is given as the other number must be an even number.
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Find three consecutive odd integers with a sum of -51 answer
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let three consecutive odd integers : (2n+1) , (2n+3) ,(2n+5)
(2n+1)+ (2n+3)+(2n+5) = 51
6n + 9 = 51
6n = 45
n = 42/6
n = 7
if n = 7 : 2(7)+1 = 15
: 2(7) +3 =17
: 2(7) +5 = 19
three consecutive odd integers with a sum of 51 are: 15 , 17 , 19
15+17+19 =
The equation h(t)=−16t2+78t+45 gives the height of a firework, in feet, t seconds after it is launched from a platform. What is the height of the platform? Enter your answer in the box.
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The height of the platform is 45 feet.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The equation h(t)=−16t² +78t+45 gives the height of a firework
When a firework is launched from a platform, its height at time t=0 seconds is equal to the height of the platform.
To find the height of the platform, we can substitute t=0 into the equation:
h(0) = -16(0)² + 78(0) + 45
h(0) = 0 + 0 + 45
h(0) = 45
Therefore, the height of the platform is 45 feet.
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what number fills in the blank to complete the factorization of 3x+24?
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Answer:
Complete factorization of 3x+24 is:
3(x+8)
Step-by-step explanation:
we have to completely factorize:
3x+24
Taking 3 common in the above expression
3(x+8)
This cannot be factorized further
Hence, complete factorization of 3x+24 is:
3(x+8)
Round to the nearest hundredth what is the positive solution to the quadratic equation 0 = 2x^2 + 3x -8
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Quadratic formula is given by
[tex]x_1= \frac{-b+ \sqrt{b^2-4ac} }{2a} [/tex], and
[tex]x_2= \frac{-b- \sqrt{b^2-4ac} }{2a} [/tex]
We are given [tex]2x^2+3x-8=0[/tex], where:
[tex]a=2[/tex], [tex]b=3[/tex], and [tex]c=-8[/tex]
Substitute the values of [tex]a, b, c[/tex] into the formula:
[tex]x_1= \frac{-3+ \sqrt{3^2-4(2)(-8)} }{2(2)}=1.39 [/tex] (rounded to two decimal places)
[tex]x_2= \frac{-3- \sqrt{3^2-4(2)(-8)} }{2(2)}=-2.89 [/tex] (rounded to two decimal places)
The positive solution is x = 1.39
Answer: the guy above is right for anyone looking at this and was sceptical
Step-by-step explanation:
Martha will be entering high school in a couple of years. Which steps should she take to ensure she has money to pay for college? Check all that apply. She should start or add to a college savings account so it can grow with deposits and earned interest. She should ask her parents if they have a college savings account set up for her. She should work to maintain high grades throughout school so she can qualify for scholarships. She should get involved in extracurricular activities like clubs and sports so she can discover what she enjoys and qualify for scholarships. She should fill out the FAFSA immediately so she does not miss grants or scholarships she qualifies for. She should ask all her friends and neighbors to contribute to her college savings account so it will grow faster.
Answers
Martha can ensure she has money to pay for college by starting or adding to a college savings account, maintaining high grades, getting involved in extracurricular activities, and filling out the FAFSA immediately.
Explanation:Martha can take the following steps to ensure she has money to pay for college:
Start or add to a college savings account: By saving money early, Martha can let it grow with deposits and earn interest.Work towards maintaining high grades: This will help her qualify for scholarships that can assist in paying for college.Get involved in extracurricular activities: Participating in clubs and sports can help Martha discover what she enjoys and also qualify her for scholarships.Fill out the FAFSA immediately: By submitting the FAFSA, Martha can ensure that she doesn't miss out on any grants or scholarships she may qualify for.
The steps Martha should take to ensure she has money to pay for college are as follows:
1. She should start or add to a college savings account so it can grow with deposits and earned interest. This is a proactive step that allows the money to benefit from compound interest over time.
2. She should ask her parents if they have a college savings account set up for her. It's important to know if there are existing funds that can be used for her education.
3. She should work to maintain high grades throughout school so she can qualify for scholarships. Many scholarships are merit-based, and good grades are often a key criterion.
4. She should get involved in extracurricular activities like clubs and sports so she can discover what she enjoys and qualify for scholarships. Participation in these activities can make her a well-rounded candidate for scholarships that value leadership and community involvement.
5. She should fill out the FAFSA (Free Application for Federal Student Aid) when she is eligible, which is typically during her senior year of high school. This form is crucial for accessing federal grants, loans, and work-study opportunities, as well as some state and college-specific aid.
6. While asking friends and neighbors to contribute to her college savings account could potentially help the account grow faster, it is not a conventional or reliable method for funding college education. Therefore, it is not a primary step she should take.
In summary, Martha should focus on saving money, exploring existing savings, maintaining good grades, engaging in extracurricular activities, and preparing to fill out the FAFSA. These steps will help her secure funding for college through savings, scholarships, and financial aid.