Jordan is paying off a car loan. The function that models how much he has left to pay on his loan, P, is P(m)=6000−300m, where m is the number of months since Jordan took out the loan. What was the original amount of the loan?
A.) $18,000
B.) $6,000
C.) $20
D.) $300
Answer: B.) $6,000
Step-by-step explanation:
The equation shows how much Jordan has to pay per month until he is finished paying the loan.
This is a linear equation in the form: y = mx + c
y is the amount left to be paid
m is the change per month which means it is the amount paid per month
x is the independent variable that is changed which means it is the no. of months
c is a constant figure which in this case would be the amount borrowed.
With c being the amount borrowed as it is the constant in the equation, c in the equation must be 6,000 as this is the only constant.
The original amount of loan must therefore be:
= $6,000
Classify each pair of labeled angles as complementary, supplementary, or neither.
Drag and drop the choices into the boxes to correctly complete the table. Each pair of angles may belong to more than one category.
complementary supplementary neither
Answer:
The first one is complementary and the second one is supplementary, the third and fourth are neither.
Step-by-step explanation:
Answer:
The first picture is Complementary, the second picture is neither, and the third picture is supplementary
Step-by-step explanation:
The first picture is complementary because both angles measure 90 degress, the second picture is neither because both angles do not add to a 90 or 180 sum. and the third picture is supplementary because both angles measure 180 degress.
Plzzzzzzzz help ......
Answer:
its purple
Step-by-step explanation:
Evaluate the expression when a=7 and c=-2.
a-4c
Answer:
15 is the answer
Which of the following graphs represents the equation y=-2x+3?
D
5
5
(0,3)
(0, 3)
(2, 2)
(1, 1)
(1, 1)
X
(-1,-1)
50.-2)
15
(0.3)
- 5
A. Graph A
B. Graph B
C. Graph C
D. Graph D
need help asap
hi can you explain base numbers?
A number base is the number of digits or combination of digits that a system of counting uses to represent numbers. A base can be any whole number greater than 0. The most commonly used number system is the decimal system, commonly known as base 10. ... Binary is the most commonly used non-base 10 system.
Step-by-step explanation:
hope it helps ☺️
Gift boxes at Walgreens are sold in packs of 8, and cost $6.00. At CVS, the price for a 10 pack of gift boxes is $9.00. Determine which store offers a better bargain based on the price per box. Type the name of the store on the line.
Answer:
CVS
Step-by-step explanation:
i am pretty sure
ZA
Round your answer to the nearest hundredth.
Answer:
A = 48.81°
Step-by-step explanation:
Angles in a Right Triangle
When the side lengths of a right triangle are known and an angle must be determined, we can use the trigonometric ratios that relate angles and sides.
The tangent ratio is defined as:
[tex]\displaystyle \tan A=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]
Opposite leg to angle A is 8 and adjacent leg is 7, thus:
[tex]\displaystyle \tan A=\frac{8}{7}[/tex]
Using the inverse tangent funcion:
[tex]\displaystyle A=\arctan\frac{8}{7}[/tex]
Calculating:
A = 48.81°
A $1,400 loan has a simple annual interest rate of 4%. How much simple
interest is paid on the loan for 1 year?
A
$56.00
B
$67.20
C $560.00
D $672.00
Answer:
the answer is c
Step-by-step explanation:
Write each percent as a fraction in simplest form.
12%
equivalent to 25+3(a−5)+7a.
Answer:
25+3(a−5)+7a.
25+3a-15+7a
7a+3a+25-15
10a+10
10(a+1)
Emily wants to cover her kitchen floor with ceramic tile. The diagram below shows the layout of her kitchen.
What is the area of her kitchen floor, in square feet, that will be covered with ceramic tile?
411 ft2
381 ft2
255 ft2
567 ft2
Answer:
381 ft
Step-by-step explanation:
first get the area of the kitchen
22 x 18= 396 ft
now get the area of the island which is 3x 5= 15 ft
to know how much she would need to cover (not including the island), subtract 396 to 15
that would be 381 ft
y=5x+4x fill in table
Answer:
OK???
Step-by-step explanation:
x: -2,-1,0,1,2
y:-18,-9,0,9,18
What is the area of the figure?
PLEASE HELP ILL GIVE BRAINLIEST TO FIRST PERSON WHO GETS IT RIGHT
Answer:
112in^2
Step-by-step explanation:
area of square = 10*10
= 100in
area of triangle = (6*4)/2
= 12in
100+12= 112
area of shape = 112in
Answer:
The area of the figure is 112
Step-by-step explanation:
For area, you multiply length x width
For the triangle, you do HALF THE BASE x height
So for the square, it's fairly simple
10 x 10 = 100
For the triangle, it's a bit more complicated
So we know the length of the square is 10 inches
And we see a 6 inch mark at the top of the square, showing where the square ends and the triangle begins
So the base of the triangle is 10 - 6 = 4 inches
Also, the overall height of the figure is 16 inches, and the height of the square is 10 inches
So the height of the triangle is 16 - 10 = 6 inches
So 4 is the base of the triangle
And 6 is the height of the triangle
So we half 4, which gives us 2
2 x 6 = 12
The area of the triangle is 12
And we already determined that the area of the square is 100
100 + 12 = 112
The area of the whole figure is 112
At the Medal Factory, the assembly line produces 98 screwdrivers in a batch. The screwdrivers are
packaged in boxes with 12 each. If 5 batches are made in one day, how many screwdrivers will be leftover
at the end of it?
Answer:
10
Step-by-step explanation:
68 screwdrivers will be leftover at the end of day.
What is Division?A division is a process of splitting a specific amount into equal parts.
Given that At the Medal Factory, the assembly line produces 98 screwdrivers in a batch.
The screwdrivers are packaged in boxes with 12 each.
If 5 batches are made in one day
We need to find how many screwdrivers will be leftover at the end of it.
12 screwdrivers in each batch.
So for 5 batches there are 5×12=60 screwdrivers.
The left screwdrivers are 98-60=38
Hence, 68 screwdrivers will be leftover at the end of day.
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At a concert 30% of the audience were tennnagers. If there was a total of 1600 audience members, how many of the audience were not teenagers
Answer:
Not teenagers = 1120
Step-by-step explanation:
Total number of audience members = 1600
30% of the audience were teenagers.
It means 70% of the audience were not teenagers. It can be given by :
x = 70% of 1600
[tex]x=\dfrac{70}{100}\times 1600\\\\x=1120[/tex]
Hence, 1120 audiences were not teenagers.
5 yards, 3 feet = ____ feet
Please help
Answer:
18 feet
Step-by-step explanation:
PLS HELP I'LL MARK BRAINLEST
Answer:
x=60+70=130(exterior angle of a triangle is equal to the sum of two opposite interior angle)
HELP WORTH 50 POINTS
giving brainlest to whoever does it right!!
The approximate populations of Connecticut and Vermont (as of 2019) are
listed below:
Connecticut: 3.57 x 10^6
Vermont: 6.24 x 10^5
How many times greater was the population of Connecticut than the
population of Vermont? Write your answer in standard notation, rounding to
the nearest tenth.
Answer: 1071.0 prep
Step-by-step explanation:
If the plane intersects the cylinder horizontally, the cross section is
A) a rectangle
B) a line
C) a circle
D) an oval
HEY THERE! PLEASE ANSWER THE MATH QUESTION IN THE PHOTO! THE CORRECT ANSWER SHALL BE MARKED AS BRAINLIEST AND I WILL FOLLOW YOU( you will aslo get extra points)
THANKS! XOXO
Answer:
a) x = 7.5
b) x = 1
Step-by-step explanation:
a)
(4x - 1)/2 = x + 74x - 1 = 2(x + 7)4x - 1 = 2x + 142x = 15x = 15/2 or 7.5b)
3x + 2 = (2x +13)/33(3x + 2) = 2x + 139x + 6 = 2x +137x = 7x = 1(5,3), m=7
Write the equation given the point and slope.
Answer:
7x-32
Step-by-step explanation:
y-y1 = m(x-x1)
y-3 = 7(x-5)
y-3 = 7x-35
y=7x-35+3
y=7x-32
What value of x makes the equation -4x-(-3-5x)= -3(2x-8) true
x = 3
Explanation:-4x - (-3 - 5x) = -3(2x - 8)
Expand -4x - (-3 - 5x): x + 3Expand -3(2x - 8): -6x + 24x + 3 = -6x + 24
Subtract 3 From Both Sidesx + 3 - 3 = -6x + 24 --3
Simplifyx = -6x + 21
Add 6x To Both Sidesx + 6x = -6x + 6x + 21
Simplify7x = 21
Divide Each Side By 77x / 7 = 21 / 7
x = 3- PNW
If the value of x is 3 then the equation -4x-(-3-5x)= -3(2x-8) will be true.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is -4x-(-3-5x)= -3(2x-8)
We need to find the value of x which makes the equation as true.
Minus four times of x minus of minus three minus five times of x equal to minus three times of two x minus eight.
-4x-(-3-5x)= -3(2x-8)
-4x+3+5x= -6x+24
Take all the terms to the left hand side
-4x+3+5x+6x-24=0
Add the like terms
7x-21=0
Add 21 on both sides
7x=21
Divide both sides by 7
x=3
Hence, if the value of x is 3 then the equation -4x-(-3-5x)= -3(2x-8) will be true.
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SOMEONE please help me with this.
“Jessie hiked 5 1/2 miles on Saturday, 6 3/4 miles on Sunday, and 2 1/3 miles on Monday. How many miles did Jessie hike altogether?
Answer:
14 9/12
Step-by-step explanation:
Add the whole numbers then try to come up with a common denominator.
9. Determine the total area of this figure? 16 cm 22.4 cm 8 18 cm 20 cm
At a sale, Janet bought a $40 blouse for $25. Find the discount rate.
Answer:
37.5%
Step-by-step explanation:
40-x%*40=25
x%40=15
x%=15/40=37.5%
Divide 161 miles in the ratio 6:1
Help pls!!!!!!!!!! Thnk you.
Find the next three terms of the following sequence:
16,8,4, 2, 1
Answer:
0.5, 0.25, 0.125
Step-by-step explanation:
its simply divided by 2
Answer:
[tex]\frac{1}{2}[/tex], [tex]\frac{1}{4}[/tex], [tex]\frac{1}{8}[/tex]
Step-by-step explanation:
There is a common ratio between consecutive terms in the sequence, that is
r = 8 ÷ 16 = 4 ÷ 8 = 2 ÷ 4 = 1 ÷ 2 = [tex]\frac{1}{2}[/tex]
Thus any term can be found by multiplying the previous term by [tex]\frac{1}{2}[/tex]
a₆ = [tex]\frac{1}{2}[/tex] × a₅ = [tex]\frac{1}{2}[/tex] × 1 = [tex]\frac{1}{2}[/tex]
a₇ = [tex]\frac{1}{2}[/tex] × a₆ = [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{4}[/tex]
a₈ = [tex]\frac{1}{2}[/tex] × a₇ = [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{4}[/tex] = [tex]\frac{1}{8}[/tex]
Division as Fractions - Word
Name
cach problem. Make sure to write your answer as a fraction.
Henry wanted to collect 65 pounds of cans in 7 days. How much should he
collect each day to reach his goal? Which two whole numbers does your
answer lie between?
Answer:
The answer lies between 9 and 10.
Step-by-step explanation:
It is given that:
Pounds of cans to be collected = 65 pounds
Number of days = 7
Cans per day = [tex]\frac{Total\ pounds}{Days}[/tex]
Cans per day = [tex]9\frac{2}{7}[/tex]
As 2/7 is less than one.
Therefore,
The answer lies between 9 and 10.