Given :
Jackson wants to buy a new car and needs a car loan.
The cost of the car is $28,326. The car loan interest rate is 0.9% per year.
To Find :
How much money will Jackson pay in interest for one month.
Solution :
Interest on the loan is given by :
[tex]I=28326\times 0.009\\\\I=\$254.934[/tex]
Amount Jackson will pay in interest for each month is :
[tex]A = \dfrac{254.934}{12}\\\\A = \$21.24[/tex]
Therefore, Jackson will pay $21.24 dollar interest per month.
Hence, this is the required solution.
0.0008012 in standard form
Answer:
Step-by-step explanation:
8.012 x 10^-4
Answer:
8.012×10^-4
Step-by-step explanation:
..............
I DESPERATELY NEED HELP PLZ ANSWER THESE QUESTIONS I AM TIMED AND DON"T HAVE MUCH TIME LEFT
Answer:
Ok I will help you answer the first one the rest yourself?
Step-by-step explanation:
So the question is
6(r-s+t)
we have to time each number by 6
6r-6s+6t
That's how we can simply so the answer is 6r-6s+t
Same thing goes with the others
Hope it helps 0w0
SOLVE FOR VARIABLE PLEASE HELPP ASAP!!:)))
Answer:
x=24
Step-by-step explanation:
180-96=84
2x+x+12=84
3x+12=84
3x=72
x=24
Answer:
x=24°
Step-by-step explanation:
180-96=84
2x+x+12=84
3x+12=84
-12 -12
3x=72
3x/3=72/3
x=24
hopefully this helps :)
x delivery persons carry a total of B bags of groceries up the stairs. They can each carry y bags at a time, and they each make 2 trips up the stairs.
Write an equation that relates x, B, and y.
Answer:
B= 2xy
Example:
2 delivery persons carry a total of 4 bags of groceries up the stairs. they can each carry 1 bag at a time, and they make 2 trips up the stairs.
The equation relaated to x, B, and y is B= 2xy.
What is an equation?
An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
2 delivery persons carry a total of 4 bags of groceries up the stairs. they can each carry 1 bag at a time, and they make 2 trips up the stairs. Then the equation is,
B =2xy
Here, B = Total Bags , x = Delivery persons and y = Number of bags.
To know more about equations follow
https://brainly.com/question/2972832
#SPJ5
GIVEING BRAINLIST Match the terms to their definition.
1. proportion
a statement that sets the cross products of a proportion equal to each other
2. constant of proportionality
the relationship between two quantities that have a constant ratio
3. cross multiplication
the constant value relating two proportional quantities
4. proportional relationship
a statement that says two ratios are equal
Answer:
proportion=a statement that says two ratios are equal
constant of proportionality= the constant value relating two proportional quantities
cross multiplication= a statement that sets the cross products of a proportion equal to each other
proportional relationship= the relationship between two quantities that have a constant ratio
i just did this so you can mark the other person brainlist
I need help with this ASAP!!
Answer:
45
Step-by-step explanation:
Just plug in 12 wherever "z" is so,
[tex]5^2-\frac{12}{3} +2(12)[/tex] simplify the equation ⇒ [tex]25-4+24[/tex]
25-4=21
21+24=45
subtract and add as needed and finally our answer is
45
Out of-pocket spending in a country for health care increased between 2003 and 2008. The function fox)-2574models average annual expenditures per household, in dollars. In this model, x represents the year, where x 0 corresponds to 2003 (a) Estimate out-of-pocket household spending on health care in 2008 (b) Determine the year when spending reached $2875 per household (c) The total expenditures per household in the year 2008 were approximately S (Round to the nearest dollar as needed.)
Answer:
(a) The total expenditures per household in the year 2008 were approximately $3,080.
(b) The spending reached $2875 per household in 2006.
Step-by-step explanation:
Note: This question is not complete, and the part c is not another question but the same question as part a. The complete question is therefore provided before answering the question as follows:
Out of-pocket spending in a country for health care increased between 2003 and 2008. The function f(x) = 2574e^(0.0359x) models average annual expenditures per household, in dollars. In this model, x represents the year, where x = 0 corresponds to 2003.
(a) Estimate out-of-pocket household spending on health care in 2008.
(b) Determine the year when spending reached $2875 per household
The explanation to the answer is now given as follows:
(a) Estimate out-of-pocket household spending on health care in 2008.
Given;
f(x) = 2574e^(0.0359x) ........................ (1)
Since x = 0 corresponds to 2003; by counting from 2003 to 2008, it implies that x = 5 corresponds to 2008.
Substituting x = 5 into equation (1) to estimate out-of-pocket household spending on health care in 2008, we have:
f(6) = 2574e^(0.0359 * 5)
f(6) = 2574 * 1.19661890406748
f(6) = 3,080.09705906969
Rounding to the nearest dollar as needed, we have:
f(6) = $3,080
Therefore, the total expenditures per household in the year 2008 were approximately $3,080.
(b) Determine the year when spending reached $2875 per household
This can be determined using equation (1) in part a by equating f(x) to $2875 solve for x as follows:
2875 = 2574e^(0.0359x)
2875 /2574 = e^(0.0359x)
1.11693861693862 = e^(0.0359x)
Taking the natural log of both sides, we have:
ln(1.11693861693862) = ln(e^(0.0359x))
0.110591565075382 = 0.0359x
x = 0.110591565075382 / 0.0359
x = 3.0805449881722
Approximating to a whole number, we have:
x = 3
Since x = 0 corresponds to 2003; by counting from 2003, x = 3 corresponds to 2006.
Therefore, the spending reached $2875 per household in 2006.
An exponential model can be found when two data points from the model are known.
The total expenditures per household in the year 2008 were near $3,080.
The spending reached $2875 per household in year 2006
(a). Out of-pocket spending in a country for health care given by function, [tex]f(x) = 2574e^{0.0359x}[/tex]
Since [tex]x = 0[/tex] corresponds to 2003, Similarly, x = 5 corresponds to 2008.
Substituting x = 5 into above function to estimate out-of-pocket household spending on health care in 2008
[tex]f(5) = 2574e^{0.0359*5} \\\\f(5)=3080[/tex]
f(5) = $3,080
Therefore, the total expenditures per household in the year 2008 were approximately $3,080.
(b). To determine the year when spending reached $2875 per household
[tex]2875 = 2574e^{0.0359x} \\\\2875/2574=e^{0.0359x} \\\\1.1169=e^{0.0359x}[/tex]
Taking natural log on both side
[tex]x=\frac{ln(1.1169)}{0.0359} =3.07[/tex]
Since x = 0 corresponds to 2003, So x = 3 corresponds to 2006.
Therefore, the spending reached $2875 per household in 2006.
Learn more:
https://brainly.com/question/12375190
Estimate 1/3 times 28
Answer:
9.333333
Step-by-step explanation:
28/3=28(1/3)
Answer
About 9
Explanation
1/3 times 28 is 9 1/3.
9 1/3 is closest to 9.
x^2-7x+7y-y^2
Factor (pls explain)
Answer: x(x-7)+y(7-y).
X and Y are common factors so you can factor both out and get this.
Rewrite the expression by factoring out (y-8).
3y^2(y-8)+7(y-8)
Answer
(y-8)x(3y^+7)
Step-by-step explanation:
3y^2(y-8)+7(y-8)
(y-8)x(3y^+7)
An expression is defined as a set of numbers, variables, and mathematical operations. The given expression 3y²(y-8)+7(y-8) can be rewritten by factoring out (y-8) as (3y²+7)(y-8).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given expression can be rewritten by factoring out (y-8) as,
3y²(y-8) + 7(y-8)
= (3y²+7)(y-8)
Hence, The given expression 3y²(y-8)+7(y-8) can be rewritten by factoring out (y-8) as (3y²+7)(y-8).
Learn more about Expression:
https://brainly.com/question/13947055
#SPJ2
If P= {2, 3, 5, 7, 11, 13, 17, 19}, what is n(P)?
Answer:
Mark a s brainliest
Step-by-step explanation:
We are given the set:
P = {2, 3, 5, 7, 11, 13, 17, 19}
The n( ) function of a set is used to find out the number of elements in a set [also known as the cardinality of a set]
To find out the cardinality of a set, we usually count the number of terms in the set but keep in mind that ∅ (null) is an element of every set there is. So, the given set can be re-written as:
P = {∅, 2, 3, 5, 7, 11, 13, 17, 19}
From this, we can clearly see that there are 9 elements in this set
Therefore, the n(P) (cardinality) of this set is 9
Select the correct answer.
A basketball team played 15 games and won 80% of them. If the team expects to play 30 games in all, how many more games must it win to
finish the season with a 90% winning percentage?
A.12
B.14
C.15
D.27
Answer:
C
Step-by-step explanation:
First find how many games they need to have 90% by multiplying .9(30)=27
then, 15(.8)=12
Then 27-12=15
Answer:
c
Step-by-step explanation:
What is 17/40 written as a decimal?
Answer:
0.425
Step-by-step explanation:
division of 17/40
Twice a number q minus 1 is less than 5
Answer:
2q - 1 < 5
If you're trying to solve for q...
q < 3
Step-by-step explanation:
I'm not sure if you were asking for the inequality or the answer for q... but I'll gladly explain either if you need :)
Pls help....................
Answer: EGF
Step-by-step explanation:
A jewelry maker is designing a crown. The crown must have at least 45 gems, only using emeralds, rubies, and diamond the number of diamonds must be 4 less than the number of rubies. Which inequality could the jewelry maker use to find the fewest numbers of emeralds, x, that can be placed on the crown
Answer:
X is the variable and x means multiplication symbol.
X + (X x 3 - 1) + (X x 3 - 1) - 4) ≥ 45 is the answer I got.
The answer to that inequality would be
X ≥ 7
Step-by-step explanation:
I am not good at math I just tried my best sorr if it is wrong.
Answer:
Diamonds: 20 Emeralds: 1 Rubies: 24
Step-by-step explanation:
45 = Total
Diamonds = 20 (4 less than rubies)
Emeralds = 1 (made into the smallest number)
Rubies = 24 (4 more than diamonds)
Tip! To help find the answer I divided 45 into three groups so the diamonds, emeralds, and rubies all started with 15. I then started to work it into place where diamonds were ALWAYS 4 less than rubies and just kept taking away from emeralds.
<3 Enjoy,
Dea
At a school party there are 40 cookies. The ratio of chocolate cookies to oatmeal cookies is shown in the tape diagram.
How many oatmeal cookies were at the party?
Answer:
15 oatmeal cookies.
What compound inequality describes this graph
Answer:
[tex] 3 < x < 4 [/tex]
Step-by-step explanation:
The graph shows a conjunction. Meaning, both statements of the compound inequality are true.
The empty circle shows that the values of x do not include 3 and 4. This means that x is greater than 3 and x is less than 4.
The compound inequality would be written as:
[tex] 3 < x < 4 [/tex]
A rotation by 2520° is how many full rotations?
O 10
O 5
07
O 14
7
a full rotation is 360°
divide 2520 by 360 it gives u 7.
7×360=2520
There are 7 complete rotations at 2520 degrees. Then the correct option is C.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
A rotation by 2520°.
Then the number of the rotations will be
⇒ 2520° / 360°
⇒ 7 rotation
Thus, the correct option is C.
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ2
:((( needdddd some help pleaseee
Answer:
D). g(x) = - x² - 4
Step-by-step explanation:
D). g(x) = - x² - 4
Answer: D
Step-by-step explanation: This has to do with Transformations. With transformations, it follows this formula:
A (Bx±C) ± D
A is a vertical transformation where the graph is pulled upwards or squished downwards. If it is a whole number, like 2, the graph is pulled (stretched) up. If it is a fraction, like 1/2, the graph is squished.
B is a horizontal transformation where the graph is stretched outwards or squished inwards (think: accordian). If it is a whole number, like 2, the graph is squished inwards. If it is a fraction, like 1/2, the graph is stretched outwards.
C is a shift right or left. In this case, the ENTIRE graph moves right or left by C. If it is x+C, the graph moves left. If it is x-C, the graph moves right.
D is a shift up or down. In this case, the ENTIRE graph moves up or down by D. If it is +D, the grapjh moves up. If it is -D, the graph moves down.
If there are no Parenthesis or Square Root for B and C to be inside of, then there is no B and C. For the graph of x², for example, you might only have
Ax² ± D.
A graph of x² with parenthesis might look like this
A (Bx²± C) ± D.
Finally, if there is a negative (-) in front of A, that means the entire graph flips accross the x-axis, upsidown. If it is a parabola (x²), then the 'opening' or 'U-shape' faces down when there is a negative in front of A.
Ok, now that the basics are taken care of, we can analyze the graph provided. We are given with the basic graph of x². The first obvious noteicable thing we see is the fact that the new graph, g(x), has been moved down by 4 units.
We know that a shift Downwards is an effect of D, so we know the graph of g(x) looks like this so far:
x² - 4
However, that is not the only transformation that we can notice about g(x). We see that g(x) is flipped upsidown, with its 'U-shape' facing downwards. We know that this is because there is a negative in front of A.
So, g(x) looks like this now:
- x² - 4
After careful examination, there are no other noticeable transformations, so we figure out that g(x) = - x² - 4.
What is 903 divided by 72?
33 POINTS FOR THIS QUESTION!!
Answer:
12.5416667
Step-by-step explanation:
JK is formed by J(-12,3) and K(8,-5). If line r is the perpendicular bisector of JK, write an equation for r in slope-intercept form.
Answer:
y = 5/2x + 4Step-by-step explanation:
Midpoint of JK:
x = (-12 + 8)/2 = -4/2 = -2y = (3 - 5)/2 = -2/2 = -1Slope of the line JK:
m = (-5 - 3)/(8 - (-12)) = -8/20 = -2/5Perpendicular lines have negative reciprocal slopes.
So the line r has a slope 5/2 and passes through the point (-2, -1)
Equation of r:
y = 5/2x + b-1 = 5/2(-2) + b-1 = -5 + bb = 5 - 1b = 4So the equation is:
y = 5/2x + 4
PLEASE HELP WILL MARK AS BRAINLEST
Question: Use the equation
y = 5 + 1/2x to complete the table. Use the table to list some of the ordered pairs that satisfy the equation.
jason is 3 times as old as his cousin. seven years from now the sum of their ages will be equal to 38. how old are they now
Answer:
Jadon is 18yrs
Cousin 6 yrs
Step-by-step explanation:
Answer:
Jason is 18 years old and his cousin is 6 years old.
Step-by-step explanation:
Just took the test
HELP If 90 containers of candy hearts cost $2.70, what is the constant of proportionality
Answer: 0.03$ per container or 3 cents per container.
Step-by-step explanation: 2.70/90=0.03.
Answer:
It's either 0.03 or 2.70
Step-by-step explanation:
Find two numbers the quotient is between. then estimate the quotient 41÷3
Answer:
25
Step-by-step explanation:
I'm not really good at math but I think 25 is the answe
Will the sign of the product of two negative numbers be negative or positive? Explain your answer.
A.
Cannot tell; the sign depends on the absolute values of the factors.
B.
Negative; if either of the factors is negative, their product is negative.
C.
Negative; if the signs of the two factors are the same, their product is negative.
D.
Positive; if the signs of the two factors are the same, their product is positive.
Answer:
A
Step-by-step explanation:
Answer:
D if the signs of two factors are the same, their product is positive
whats the answer giving brainliest to the c o rect anwers
Answer:
A
Step-by-step explanation:
9/3 is 3
36-3 is 33
What is the value of this expression when x = -6 and ? 4(x2 + 3) − 2y
A. -131 B. -35 C. 57 D. 157
Answer:
I'm gonna guess and I don't know. I'm gonna go with C or A
Answer:
A
Step-by-step explanation:
I Just Took the Test.
In the triangle shown, the measure of angle A is 65.
B
65°
Choose all of the statements that are sufficient to determine that A ABC is an isosceles triangle.
m2B = 25°
B. MzB = 50
OOOO
C. m C = 65°
D.
AC = 65 units
E. AB = BC = 25 units
SRESET
Cynthia D Moreno, ID#****80
Growth: Math 6+ TX 2012
Question #8
Answer:
B. m<B=50
C. m<C=65
Step-by-step explanation:
We know that the interior angles of a triangle add up to 180 so knowing that A and C would be the same because of the fact it’s isosceles, the measure of A+C=130 meaning measure of missing angle B would be 50.
Answer:
B and C
Step-by-step explanation: