Jayden starts with $1575 in a college savings account. His account earns interest at a rate of 2.7% compounded annually. How much money is in the account after 9 years?
Step-by-step explanation:
2.7/100*1575=42.525
then for 9years
9*42.525=$382.725
Quadrilateral ABCD is translated to get quadrilateral A’B’C’D’. Vertex A is at (-5, 2), and vertex A’ is at (2, -2). Quadrilateral ABCD is translated blank. If vertex B is at (-6, 5), then vertex B’ is at blank
Answer:
vertex B' is at (1, 1)
Step-by-step explanation:
Let us revise the rules of translation of a point
If the point (x, y) translated horizontally to the right by h units then its image is (x + h, y) ⇒ T (x, y) → (x + h, y)If the point (x, y) translated horizontally to the left by h units then its image is (x - h, y) ⇒ T (x, y) → (x - h, y)If the point (x, y) translated vertically up by k units then its image is (x, y + k)→ (x + h, y) ⇒ T (x, y) → (x, y + k)If the point (x, y) translated vertically down by k units then its image is (x, y - k) ⇒ T (x, y) → (x, y - k)Let us use the rules to solve our question
∵ Vertex A = (-5, 2)
∵ Vertex A' = (2, -2)
→ The coordinates of the two points changed which means the
quadrilateral is translated horizontally and vertically
∵ The x-coordinate of A = -5
∵ The x-coordinate of A' = 2
→ Which means it moves to the right, so use the first rule above
∴ the rule of translation is T (x, y) → (x + h, y)
∴ x → x + h
∵ x = -5 and x + h = 2
∴ -5 + h = 2
→ Add 5 to both sides
∴ -5 + 5 + h = 2 + 5
∴ h = 7
∴ The quadrilateral is translated 7 units right
∵ The y-coordinate of A = 2
∵ The y-coordinate of A' = -2
→ Which means it moves down, so use the 4th rule above
∴ the rule of translation is T (x, y) → (x, y - k)
∴ y → y - k
∵ y = 2 and y - k = -2
∴ 2 - k = -2
→ Add K to both sides
∴ 2 - k + k = -2 + k
∴ 2 = -2 + k
→ Add 2 to both sides
∴ 2 + 2 = -2 + 2 + k
∴ 4 = k
∴ The quadrilateral is translated 4 units down
→ Let us find B'
∵ T (x, y) → (x + h, y - k) is the rule of translation
∵ B = (-6, 5)
∵ h = 7 and k = 4
∴ B' = (-6 + 7, 5 - 4)
∴ B' = (1, 1)
∴ vertex B' is at (1, 1)
Quadrilateral ABCD is translated 7 units right and 4 units down. If vertex B is at (-6, 5), then vertex B′ is at (1, 1)
The number of laps Jessica runs around the track is proportional to the times she spends running. She runs 12 laps in 1/2 hour. What is the constant of proportionality for the relationship between number of laps and number of hours
Answer:
6
Step-by-step explanation:
During the summer season, a jet ski rental company charges a 12% registration fee to reserve a jet ski that
rents for $90. How much is the fee?
Answer:
$10.80
Step-by-step explanation:
90*0.12=10.8
Mr. Lee had 45 friction books. He gave 2 books to each
student. He has 1 remaining book. How many students does he
have?
Answer:
He has 22 students
Step-by-step explanation:
45 divided by 2 is 22 with 1 left over
Select all the true statements about the graph of a line that slants downward from left to right.
A The slope of the line is negative.
B As the value of one variable increases, the value of the other variable decreases.
C The slope of the line is a fraction.
D The graph of the line has extremely small values.
Answer:
A. The slope of the line is negative.
B. As the value of one variable increases, the value of the other variable decreases.
For C and D, the line that slants downwards from left to right can have these qualities, but not always. As for A and B, it will always have these qualities.
The true statements about the graph of a line that slants downward from left to right will be:
A. The slope of the line is negative.B. As the value of one variable increases, the value of the other variable decreasesIt should be noted that a graph of a line that slants downward from left to right will have the slope of the line to be negative and as the value of one variable increases, the value of the other variable will reduce.
On the other hand, the slope of the line is not always a fraction and the graph of the line doesn't have to possess small values.
Read related link on:
https://brainly.com/question/17738017
Adding and Subtracting Functions (20 POINTS and MARK BRAINLIEST)
Question 1: Adding
f(x)=2x+ 4 and g(x)=5x-7
f(x)+g(x)=
A. 7x+11
B. -3x+11
C. 7x-3
D.3x-3
Question 2: Subtracting
f(x)=2x+ 4 and g(x)=5x-7
f(x)-g(x)=
A. 7x+11
B. -3x+11
C. 7x-3
D.3x-3
Question 3: Adding
f(x)=4x²-2x-2 and g(x)=-3²+5x+6
f(x)+g(x)=
A. x²-7x-8
B. x²-3x-4
C. 7x²+3x+4
D. x²+3x+4
Question 4: Subtracting
f(x)=4x²-2x-2 and g(x)=-3²+5x+6
f(x)-g(x)=
A. x²-7x-8
B. x²-3x-4
C. 7x²+3x+4
D. x²+3x+4
Which expression is equivalent to 18 - 7?
A. -18 + 7
B. 18+ (-7)
C. 18 + 7
D. -18 +(-7)
Answer:
B
Step-by-step explanation:
The Equivalent Expression is 18+ (-7)
What are Integers?Integers come in three types:
Zero (0)Positive Integers (Natural numbers)Negative Integers (Additive inverse of Natural Numbers)Given:
18 - 7
Using Integers
a- b can be written as a+ (-b)
So, 18 - 7
= 18+ (-7)
Hence, the Equivalent Expression is 18+ (-7)
Learn more about Integers here:
https://brainly.com/question/15276410
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Mr. Thomas drove from Banesville to Tempe and back.
How many miles did he save driving this route instead of driving
from Banesville to Georgetown to Tempe and back the same way?
Please HELP
Answer:
what are the answer options
Step-by-step explanation:
please help me, ASAP
Answer:
The answer is A
Step-by-step explanation:
All of the other relations shows have duplicate numbers of x. For example, relation B has two 3s and D has two 20s. If a relation has a duplicate x, it is not a function.
could someone please answer these 3 questions?? ty :))
Answer:
1. -12 2. you get - 3. -6
Step-by-step explanation:
Well hope that makes sense. Please heart.
12 plus -12 is 0. -3 plus 2 is -1 or -. -4 plus -2 is -6.
You add -12 to 12 to make it zero.
If you have - - - and add + + you get -1.
If you have - - - - and add - - you get -6.
Select the equation that is the inverse of the given function.
x
- 3
f(x) =
5
o
o
o
f-1(x) = 5x + 15
f-1(x) = 5x +3
f-1(x) = 3x - 5
-1(x) = x
wun
DONE
Answer: f-1(x) = 5x+3
Step-by-step explanation: just did the assignments
Three families bought food at the baseball game. The Smith family spent $16.50 on 3 hot dogs, 2 sodas, and 1 candy bar. The Patterson family spent $26 on 4 hot dogs, 4 sodas, and 2 candy bars. The Nguyen family spent $13.75 on 2 hot dogs, 1 soda, and 3 candy bars. Which of the following systems of equations could be used to determine the price of each item?
Answer:
Step-by-step explanation:
Let
Price of
Hotdogs = x
Sodas = y
Candy bar = z
Smith family
Hotdogs = 3
Sodas = 2
Candy bar = 1
Total cost = $16.50
3x + 2y + z = 16.50
Patterson family
Hotdogs = 4
Sodas = 4
Candy bar = 2
Total = $26
4x + 4y + 2z = 26
Nguyen family
Hotdogs = 2
Sodas = 1
Candy bar = 3
Total cost = $13.75
2x + y + 3z = 13.75
The equations
3x + 2y + z = 16.50 (1)
4x + 4y + 2z = 26 (2)
2x + y + 3z = 13.75 (3)
Multiply (1) by -2
-2(3x + 2y + z = 16.50)
-6x - 4y - 2z = -33
-6x - 4y - 2z = -33 (1a)
4x + 4y + 2z = 26 (2)
Add (1a) and (2)
-6x + 4x = -33 + 26
- 2x = -7
x = -7/-2
= 3.5
x = $3.5
Multiply (3) by -4
-4(2x + y + 3z = 13.75) (3)
-8x - 4y - 12z = -55 (3a)
Add (3a) and (2)
-8x - 4y - 12z = -55 (3a)
4x + 4y + 2z = 26 (2)
-8x + 4x -12z + 2z = -55 + 36
-4x - 10z = -29
Substitute the value of x into
-4x - 10z = -29
-4(3.5) - 10z = -29
-14 - 10z = -29
-10z = -29 + 14
-10z = - 15
z = -15 / - 10
= 1.5
z = $1.5
Substitute values of x and z into (1)
3x + 2y + z = 16.50
3(3.5) + 2y + 1.5 = 16.50
10.5 + 2y + 1.5 = 16.50
12 + 2y = 16.50
2y = 16.50 - 12
2y = 4.50
y = 4.50 / 2
y = $2.25
plz help asap im being timed and i only have 20 minutes left
Answer:
first question is B
second F
third C
fourth pretty sure its C
last C
Step-by-step explanation:
what is the distance between -4 and 6 in units
Can someone help please :)
The least common multiple of 54 c^2 de^3 and 38 c^4 is _____.
A. 1,026 c^4
B. 342 c^4 de^3
C. 342 c^2
D. 1,026 c^4 de^3
Answer:
The correct answer is 1,026 c^4 de^3.
Step-by-step explanation:
*
Convert 499 m to km
499,000 km
O 0.499 km
49.9 km
0 4.9 X 10^-3 km
Answer:
the answer is 0.499 km I also used a calulator to double check.
help please! click on pic.
Answer:
x=63
y=27
Step-by-step explanation:
to find x
180-117=63
to find y
90-63=27
please mark brainliest if correct
Answer:
x=63, y=27
Step-by-step explanation:
x is part of a line with 117, so you would do 180-117 to find x. Then you do 90-63 to find y, which is 27.
question in the image
[tex] \frac{7}{10} \times \frac{3}{7} [/tex]
cuánto es?
Answer:
thats the answer
You start at (3,-2). You move down 1 unit and up 3 units. Where do you end?
Answer:
3,0
Step-by-step explanation:
The y coordinate goes down one unit to -3, then up 3 units to 0.
choose the graph of the translated parent function f(x)=cos(x) where it is translation 3 units up
Answer:c
Step-by-step explanation:move up 3 units on the y axis and create the graph
Willie won 125 lollipops playing hoops at
his school's game night. Later, he gave
four to each of his friends. He only has 1
remaining. How many friends does he
have?
Answer:
Step-by-step explanation:
Easiest way to do this is to work backwards.
If Willie only has 1 remaining lollipop, this means that he must've given a total of 124 lollipops to his friends. (125 - 1 = 124)
Then we know he gave 4 lollipops to each friend. So all you need to do is divide the total number of lollipops he gave to his friends (124) by how many he gave to each friend.
Number of friends = Total number of lollipops given to friends / Number of lollipops given to each friend.
Number of friends = [tex]\frac{124}{4} = ?[/tex]
1- If you ran 12 laps around the track in 4 minutes, what is the unit rate? 2- Lin bought 3 hats for $22.50. At this rateis this rught
Answer:
huh
Step-by-step explanation:
what is 2.2 * 5.1 what is the answer
Answer:
11.22 is the answer thank you
Answer:
11.22
Step-by-step explanation:
will award brainliest!!!
Consider the equation below.
The equation was solved using the following steps.
Answer:
Step-by-step explanation:
Step 1: -3 to 4x and -7 (Multiply)
Step 2: 2x (Add)
Step 3: 21 (Subtract)
Step 4: -10 (Divide by)
I hope this helps!
11/12 - (1/3 + 1/4) =?
Answer:
I won't put a step by step since I converted the equations into decimals which I don't think will help you.
Step-by-step explanation:
0.33 or -0.33 depends on which you look at it.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPMEEEEEEEEEEEEEEEEE!!
Use the information to answer the following question.
the table shows the relationship between the number of hours, h, jorge has been hiking
and the total distance, d,he has traveled in kilometers.
The graph shows the distance sara hiked over the same period of time.
who hikes faster?Explain.
Answer:
Step-by-step explanation:
Sara is faster she got a longer distance to Jorge
Jocelyn bought 18 chicken wings for $9. What was the cost of the wings in wings per
dollar?
Answer:
Step-by-step explanation: 18 wings = 9$
divide by eighteen
1 wing = 1/2 $
1/2 $ = 0.5 $
answer is 0.5 $ or 50 c per wing
Think about the expression (x-8)(x+4)
Answer:
x*x +4*x-8*x -8*4
x^2+4x-8x-32
x^2-4x-32