Answer: it is a true equation.
Step-by-step explanation:
A local car dealership is holding a year-end event because new car models have just been released. Declan has $35,000 to spend on a car. The car Declan decides to buy for his family costs $35,000. However, it is part of the year-end event, which means he receives a 15% discount on the new car. Declan plans to put the money he saves on the car into a new bank account. The bank account has a yearly simple interest rate of 4%, paid at the end of each year. If Declan does not add any other money to this bank account, it will take
Answer:
6 years
Step-by-step explanation:
The computation of the time period is given below:
As we know that
Future value = Present value × (1 + rate of interest)^time period
$6,720 = ($35,000 × 15%) × (1 + 0.04)^time period
$6,720 = $5,250 × 1.04^time period
1.28 = 1.04^time period
So, the time period is 6.29 years i.e. 6 years
hence, the time that should be taken is 6 years
can someone plz help me?
Answer: x = 2
Step-by-step explanation: the interior angles of a rhombus add to 360 degrees and since half of 360 is 180, create the equation 130 + (36 +7x) and set it equal to 180. when solved 130 + (36 +7x) = 180 you get x =2
answer
1st rearrange the terms. then subtract 36 in both sides.then you will get 94=7x then simplify by dividing by 7. then you will get 13.4285714286. which if you round up maybe its 94/7.
Someone help me Please!!!
Answer: (-2, -1) and (3, 14).
Step-by-step explanation:
[tex]\left \Bigg \{ { \bigg{y=x^{2} +2x-1} \atop \bigg {y-3x=5}} \right. ; \left \Bigg \{ { \bigg{y=x^{2} +2x-1} \atop \bigg {y=5+3x}} \right.[/tex]
x² + 2x - 1 = 5 + 3x
x² + 2x - 1 - 5 - 3x = 0
x² - x - 6 = 0
[tex]General formula\\\\x=\dfrac{-b \pm \sqrt{b^{2}-4ac } }{2a} \\\\a=1; \: \: b=-1; \: \: c=-6\\\\x=\dfrac{1 \pm \sqrt{(-1)^{2}-4 \cdot1 \cdot (-6)} }{2 \cdot 1}=\dfrac{1 \pm\sqrt{25} } {2} =\dfrac{1 \pm5}{2} \\\\x_{1} = -2\\x_{2} =3[/tex]
y = 5 + 3x
y₁ = 5 + 3 * (-2) = -1
y₂ = 5 + 3 * 3 = 14
The pair of points representing the solution set of this system of equations is (-2, -1) and (3, 14).
Gordon types 2,146 words in 29 minutes. Find the unit rate.
7,21,63
what’s the common ratio, recursive function, explicit formula, and the 12 term
Answer:
See explanations below
Step-by-step explanation:
The given sequence 7,21,63... is geomertic in nature
The nth term is expressed as;
Tn = ar^n-1
a is the first term = 7
r is the common ratio = 21/7 = 63/21 = 3
n is the number of terms
Substitute
Tn = 7(3)^n-1
For the 12th term, when n = 12
T12 = 7(3)^12-1
T12 = 7(3)^11
T12 = 7(177,147)
T12 = 1,240,029
Hence the 12th terms is 1,240,029
For the recursive function
First term = 7(1)
2nd term T2 = 21 = 7(3)
3rd term T3 = 63 = 7(9) = 7(3^2)
Tn = 7(3^n)
Hence the recursive function is 7(3^n)
Which choices are equivalent to the expression below?
Answer:
b d and e
Step-by-step explanation:
just simplify or modify each answer and you'll see which equate to 4 root 6. takes 2 mins.
Kirk wanted to open a savings account with the $2,000 he had earned over the summer. If the bank’s interest rate is 5%, how much will he have in 2 years? Show your work.
Answer:
$2205
Step-by-step explanation:
The formula is (2000*1.05^2) which is 2205
£240 is divided between Sara, Gordon & Malachy so that Sara gets twice as much as Gordon, and Gordon gets three times as much as Malachy. How much does Gordon get? (Quick Pls)
Answer:
£72
Step-by-step explanation:
let Malachy amount be x then Gordon's is 3x and Sara is 2 × 3x = 6x
Then
x + 3x + 6x = 10x = £240 ( divide both sides by 10 )
x = £24
Gordon gets 3x = 3 × £24 = £72
IM TIMED PLEASE HELP ME please help math question
Find the slope of the line passing through the points (-3,5) and (-3,-7)? can anyone help me
===========================================
Explanation:
Let's apply the slope formula
m = (y2-y1)/(x2-x1)
m = (-7-(-3))/(-3-(-3))
m = (-7+3)/(-3+3)
m = -4/0
We run into trouble because 0 is in the denominator. We cannot divide by zero. This is why the slope is undefined.
The two points (-3,5) and (-3,-7) form a vertical line when you draw a line through them. All vertical lines have an undefined slope.
Put another way: the x coordinates of both points are the same (both are -3), so when we subtract those x coordinates, we end up with 0 in the denominator that leads to an undefined slope.
what is the initial value of the function:
f(x)=3/2(2)^x
Answer:
the initial value -- f(0) -- results in a value of 1.5
Step-by-step explanation:
f(0) = [tex]\frac{3}{2}[/tex] · [tex]2^{x}[/tex] (any value raised to the power of zero equals one)
f(0) = [tex]\frac{3}{2}[/tex] · 1
f(0) = 3/2 or 1.5
Sign out Fred's bedroom has an area of 54 square feet. The bedroom is 6 times as many square feet as Fred's closet. If the closet is 3 feet wide, what is the length of the closet?
Answer:
3 feet
Step-by-step explanation:
Area of bedroom = 54 square feet.
Area of closet = Area of bedroom / 6= 54/6= 9 square feet.
Area = length * breadth
9 = length *3
length = Area/ width
length = 9/3= 3 feet.
As the bedroom is having 6 times the area of the closet we will divide the area of the bedroom by 6 to get the area of the closet ( 54/6= 9) . Area is obtained by multiplying the length and the breadth so we have the width which 3 feet , we divide the area with the width ( 9/3= 3) to get the length = 3 feet.
Triangles please and thanks
Answer:
60 degrees
Step-by-step explanation:
All sides are equal so it is an equilateral triangle.
Equilateral triangles have 60 degree corners.
Answer please nowwwwwwe
A car rental agency charges $31 per day to rent a car and $13.95 per day for a
global positioning system (GPS). Customers are charged for their full tank of gas
at $3.60 per gallon. A car has a 16 gallon tank and a GPS.
a) Write a function rule for the total bill b as a function of the days d the car is
rented,
b) What is the bill for a 10 day rental?
Answer:
$31.00 x10 equals 310 13.95 * 10 =$139.50. 360 * 16 $57
pls help me with this multiple choice !
Answer:
C
Step-by-step explanation:
[tex] \sin(30) = \frac{y}{32} \\ y = 16 \\ \cos(30) = \frac{x}{32} \\ x = 16 \sqrt{3} [/tex]
Mafhvjfifjdfjujufugjfdu5\6 + 3\4 = ?
Pls tell me the answer....it’s dueee today
Answer:
90°
Step-by-step explanation:
Hi!
I forgot the theorems exact name but it's something like "radius to a line that is tangent to the circle is always perpendicular to the tangent line" and perpendiular means 90°
pleaseeeeee halpppppppppppppp meeeeee i will mark brainlienst
Answer:
4 x c = 2,528
c = 632
Step-by-step explanation:
Answer:
The bottom one
Step-by-step explanation:
The question is saying they spent $2528 on 4 laptop computers that each cost the same amount so the equation is 4c=2528 .Divide 2528 by 4 to get 632.
P.S. can I get brainlist please?
What is the midpoint of the segment shown below (-1,2) (7,3)
Answer:
Midpoint is (x2+x1) /2 , y2+y1 /2)
(7-1 /2, 3+2 /2)
=(3,5/2)
What is the value of the missing angle ? HELPPP PLSSS
Answer:
The angle of a straight line is 180 degrees.
180 degrees-71 degrees=109 degrees
Step-by-step explanation:
PLEASE HELP! GIVING POINTS :)!
Answer:
1 and 1/8
Step-by-step explanation:
Alex wrote the equation y = 2x + 3 to describe a tile pattern. Use his equation to complete the table. how would you graph it
Sandra has a rectangular pool in her backyard that is 9 feet long and 4 feet wide. A resort has a pool that is similar in shape, as shown. How long is the resort pool, in feet?
Answer:
? = 13.5
PLZ MARK AS BRAINLIEST
Step-by-step explanation:
6/4 = 1.5
9*1.5 = 13.5
What is the value of c?
Answer:
180-96 will be the value for c
now do the calculation urself
3x-2y=12 and 3x+5y=33
Answer:
x=6, y=3. (6, 3).
Step-by-step explanation:
3x-2y=12
3x+5y=33
--------------
-3x+2y=-12
3x+5y=33
-------------------
7y=21
y=21/7=3
3x-2(3)=12
3x-6=12
3x=12+6
3x=18
x=18/3=6
What is are some example of an expression?
Answer: The definition of an example of expression is a frequently used word or phrase or it is a way to convey your thoughts, feelings or emotions. An example of an expression is the phrase "a penny saved is a penny earned." An example of an expression is a smile.
Step-by-step explanation:
What is an equation of the line that passes through the points (-4,3)
and (-8,0)?
Answer:
Step-by-step explanation:
Slope of line passing through (-4, 3) and (-8, 0) = (3-0)/(-4-(-8)) = 3/4
Point-slope equation for line of slope ¾ that passes through (-8, 0):
y-0 = ¾(x+8)
7. If 2 planes have the same velocity, do they have the same speed? EXPLAIN
Answer:
Yes.
Step-by-step explanation:
Velocity is the direction and how fast something is going. The two planes having the same velocity means that they are going the same speed and direction.
-9m-27n as a product
Answer:
-9m-27n=
-9(m +3n)
[tex]{ \huge{ \green{ \underline{ \bf{Given}} \colon}}}[/tex]
[tex]{ \large{ \red{✮ \: \: \underline{ \underline{ \tt{ - 9m - 27n \: \: as \: \: a \: \: product}}} \colon}}}[/tex]
[tex]{ \huge{ \pink{ \underline{ \bf{Now}} \colon}}}[/tex]
[tex]{ \large{ \blue{ \therefore{ \boxed{ \boxed{ \sf{ - 9(m + 3n)}}}}}}}{ \large{ \orange{ \tt{Ans.}}}}[/tex]