The balance y (in dollars) of your savings account after t years is represented by y=300(1.05)'. The beginning balance of your friend's account is $340, and the balance increases by $10 each year. a. Compare the account balances by calculating and interpreting the average rates of change from t=2 to t=6.
Answer:
My balance grows faster than my friends balance.
Step-by-step explanation:
My balance
[tex]y=300(1.05)^t[/tex]
where
t = Time
Average rate from t=2 to t=6 is given by
[tex]\dfrac{t(6)-t(2)}{6-2}\\ =\dfrac{300(1.05)^6-300(1.05)^2}{4}\\ =\mathbf{17.82}[/tex]
My friend's balance is given by
[tex]y=340+10t[/tex]
Average rate is given by
[tex]\dfrac{t(6)-t(2)}{6-2}\\ =\dfrac{(340+10\times 6)-(340+10\times 2)}{4}\\ =\mathbf{10}[/tex]
My balance grows faster than my friends balance.
Help Me need help please it is due today please help ASAP
Answer:
87
Step-by-step explanation:
you subtract 3:32-2:45
Solve for y.
24=8/3y
Simplify your answer as much as possible.
I can't tell necessarily what the question is but I'd it is 24= 8÷3y then y is 1/9
if the question is 24=8/3(y) then the answer is y=9
Answer:
24 = [tex]\frac{8}{3}[/tex] y
[tex]\frac{8}{3}[/tex] = 2.6 repeating
24 ÷ 2.6 repeating = 9
Step-by-step explanation:
Choose the definition, theorem, or postulate that justifies the statement.
A. Definition of a Right Angle
B. Definition of Complementary Angles
C. Congruent Complements Theorem
D. Complement Theorem
E. Definition of Supplementary Angles
F. Definition of Angle Bisector
G. Supplement Theorem
H. Definition of Perpendicular
I. Angle Addition Postulate
J. Vertical Angles Theorem
K. Congruent Supplements Theorem
L. Definition of Congruence
Answer:
its b i got it correct
Step-by-step explanation:
on ed 2020
Use the distributive property to write an equivalent expression.
4(p - 7q+3)
Answer:
4p - 28q + 12
3 2/3 x 4 1/8 x 2 1/2
Answer:
=2/3^x62
Step-by-step explanation:
32/3^x41/8x21/2
Solve: 5(h − 3) = 25
Answer:
h=8
Step-by-step explanation:
open the brackets
then, 5h - 15= 25
h=(25+15)/5
h=8
Answer:
h = 8
Step-by-step explanation:
Hi there !
5(h - 3) = 25
5h - 15 = 25
5h = 25 + 15
5h = 40
h = 40 : 5
h = 8
Good luck !
Solve for Y
2x+ y/3 = 4
a. y = 6x + 12
b.y = -6x + 12
C. y = (x - 12
d. y = -6x - 12
Answer:
y=−6x+12
so A
Step-by-step explanation:
Solve for x:
3x-3=x-19
Answer: x = -8
Step-by-step explanation: 2x=-16, x=-8
Answer:
-8
Step-by-step explanation:
3x - 3 =x - 19
3x - x =-19 +3
2x =-16
x=-16 :2
x=-8
PLEASE HELP PLEASe IT'S ONLY ONE QUESTION AND ITS SHORT
Answer:
Yes.
Step-by-step explanation:
It passes the line test.
Which inequality matches the graph shown?
Answer:
I am pretty sure it is x>8 which is B.
Step-by-step explanation:
PLEASE ANSWER REALLY EASY
Answer:
I will answer here because I am glitching.
Step-by-step explanation:
1. 1.36 < [tex]\sqrt{2}[/tex] < 2.45
2. 1.65 < [tex]\sqrt{3}[/tex] < 2.34
3. 1.65 < [tex]\sqrt{4}[/tex] < 2.34
4. 2.14 < [tex]\sqrt{5}[/tex] < 3.56
5. 2.41 < [tex]\sqrt{6}[/tex] < 3.56
I believe this is correct but check if I am wrong.
What is the midpoint between (3,-1) and (7,-5)
(2, -2)
(5,-2)
(10,-6)
(5,-3)
Answer:
(5, -3)
Step-by-step explanation:
The number of hours, H, that milk stays fresh is a function of the surrounding temperature, T. In degrees centigrade, this relationship is shown by the formula H(T) = 180 ∙ 10(−.04T) . How many hours will newly pasteurized milk stay fresh when stored at 8°C?
Answer:
The number of hours that the milk will stay fresh is 86.2 hours
Step-by-step explanation:
Given the following function;
[tex]H(T) = 180*10^{(-0.04T)}[/tex]
where;
T, is the temperature in degrees centigrade
H is the number of hours
At 8°C the number of hours that the milk will stay fresh is given by;
[tex]H(T) = 180*10^{(-0.04T)}\\\\H(8) = 180*10^{(-0.04*8)}\\\\H(8) = 180*10^{(-0.32)}\\\\H(8) = 180*0.4786\\\\H(8) = 86.2 \ hours[/tex]
Therefore, the number of hours that the milk will stay fresh is 86.2 hours.
Hey my friend needs help with finding the challenges for sum reason does it not pop out for sum people as well
Answer:
yah for some reason i cant find it
Answer:
sssssssssssssss
Step-by-step explanation:
What is the slope of the line that passes |
through (-3, -1) and (-5, 4) ?
Plz I need help
Answer:
-2.5
basically use slope formula which is x2-x1/y2-y1
Mr. Heath owns a game store.
He offers workshops where students learn about different kinds of games and how to design their own games.
Sia designs a board game in which a card is drawn on each turn.
• A blue card means move forward 4 squares.
• A red card means move back 6 squares.
Sia begins at 0. She draws a blue card on each of her first three turns.
Then Sia draws only red cards and ends up back at 0. How many red cards did Sia draw?
he drew 2 cards
Step-by-step explanation:
because 4x3 is 12 and to get back to zero u would have to draw 2 red cards which are 6 each. so 4x3=12 and then 6x2=12 12-12=0
Who can help we with this ?, if you can please show the work
piece #1 is x
the answer is c
The lines represented by the equations 12y + 8x = 60 and y =-2/3x+5 are what type of line
Answer:
Straight negatively sloped lines
Step-by-step explanation:
Pam works on
commission from sellingE
stocks for a local bank.
She had a great month
and sold $2.5 million
dollars in investments
this month. She earns
4% commission on the
10% fee the bank
charges for sales over
$800,000. How much
did she earn?
Answer:
$10,000
Step by step:
Banks earnings(10%)=x
Pams earnings(4% of banks earnings)=y
10% of $2.5m= $250,000=x
4%(1/25) of $250,000=$10,000=y
2. Liz claimed that the polynomial 4x -12 + 2x is a trinomial because it has three
terms.
Is Liz correct? Explain your reasoning in complete sentences. Be specific!
Answer:
see below
Step-by-step explanation:
The first step is to combine like terms
4x -12 + 2x
6x -12
Then determine the number of terms
2 terms so it is a binomial
Answer:
Im not sure if I’m correct but I think she is correct because a trino Mila doesn’t always have to have a exponent but three terms
Step-by-step explanation:
not positive
Curtis won 53 pieces of candy playing a game at the county fairAt school he gave one to each of his classmates in his English class. He only has 25 remaining. How many did he give away?
what other properties do we use to rewrite expressions and equations
Answer:
The commutative, associative, and distributive properties help you rewrite a complicated algebraic expression into one that is easier to deal with. When you rewrite an expression by a commutative property, you change the order of the numbers being added or multiplied.
Step-by-step explanation:
Commutative, Associative and Distributive properties do we use to rewrite expressions and equations.
What is Expression?An expression is combination of variables, numbers and operators.
The properties we use to rewrite expressions and equations are
The commutative
Associative, and
distributive properties
These properties help to rewrite a complicated algebraic expression into simpler form.
When you rewrite an expression by a commutative property, you change the order of the numbers being added or multiplied.
Hence, Commutative, Associative and Distributive properties do we use to rewrite expressions and equations.
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ2
Which triangle correctly shows that the side opposite the larger angle is the larger side? A triangle has side lengths of 13, 5, 10 and angle measures of 30 degrees, 100 degrees, and 50 degrees. A triangle has side lengths of 5, 5, 5 and angle measures of 60 degrees, 60 degrees, 60 degrees. A triangle has side lengths 5, 13, 12 and angle measures of 90 degrees, 67 degrees, 23 degrees.
Answer:
C) is your choice
Step-by-step explanation:
2(b + 2) > 4(1 + 5b) -b
Answer:
b<0
Step-by-step explanation:
2(b+2)>4(1+5b)−b
Step 1: Simplify both sides of the inequality.
2b+4>19b+4
Step 2: Subtract 19b from both sides.
2b+4−19b>19b+4−19b
−17b+4>4
Step 3: Subtract 4 from both sides.
−17b+4−4>4−4
−17b>0
Step 4: Divide both sides by -17.
−17b
−17
>
0
−17
b<0
Answer:
b<0
Answer:
2(b + 2) > 4(1 + 5b) -b
2b + 4 > 4 + 20b -b
2b - 20b + b > 4 - 4
-17b > 0
b < 0/-17
b < 0
True or false: geometry is an axiomatic system where the accepted principles are undefined terms 0 and 1.
A. The statement is false. Algebra is an axiomatic system where the accepted principles are undefined terms 0 and 1.
B. The statement is true.
C. The statement is false. Geometry is an axiomatic system where the accepted principles are the undefined terms point, line and plane.
D. The statement is false. Geometry is an axiomatic system where the accepted principles are the undefined terms circle, triangle, and square
Answer:
C. The statement is false. Geometry is an axiomatic system where the accepted principles are the undefined terms point, line and plane.
Step-by-step explanation:
The 4 basic characteristics of axiomatic systems are:
Undefined terms (or primitive terms) Axioms (or postulates) Theorems Laws of logicThe undefined terms or primitive terms of geometry are points, lines and planes that at some point meet or join together. This is called incidence, since geometry studies their relationship. E.g. 3 lines that form a triangle on a plane.
A line extends from point T to point R. Point S is between points T and R. The space between T and S is labeled 3 x minus 4. The space between T and R is labeled 4 x + 1.
Which expression represents the measure of segment RS?
7x – 3
7x + 5
x + 5
x – 3
Answer:
x+5
Step-by-step explanation:
Answer:
which expression represents the measure of segment RS? x + 5
Step-by-step explanation:
on engenuity
Given three collinear points A, B and C. How many line segments do
they determine? Name them.
Answer:
Three segments: AB, BC, AC
Step-by-step explanation:
Remember to put the line on top since they’re segments.
Hope this helps!
The angle o represents the phase shift, determined by the initial conditions of the experiment or the position of the weight at t = 0. If the weight is at its maximum positive position (weight is above equilibrium) at t = 0, then o = 0. If the weight is at its maximum negative position (spring is stretched and weight is below equilibrium) at t = 0, then o = pi. If the weight is traveling in the negative direction and passing through equilibrium at t = 0, then o = pi/2. In the response box, describe the initial condition of our experiment; specifically, describe the position of the weight and the direction in which it was traveling.
Answer
initially t=0 => c2sin(0)+c1cos(0) => y=0+c1 => y=0+5 => y=5
The weight was approaching the equilibrium position from the positive direction. The weight was on its way down, with the spring stretching
Step-by-step explanation:
c1=5
Slope -2/3 , x-intercept at 3
Answer:
Y=(-3)x+6
Step-by-step explanation: