Connie deposits $30 into an account. The value of the account, in dollars, can be modeled as V (t) = 30(1.05), where t is the time, in years, since opening the account.
To the nearest cent, what is the average rate of change in the value of the account for the first 3 years?
A
$0.63/year
1.
B
$1.58/year
le:
wi...
m
my
b...
С
$3.15/year
D
$4.73/year
Answer:
Step-by-step explanation:
The average rate of change in the value of the account for the first 3 years
is $1.58.
What is an exponential function?When the independent variable is in the power of some function we call them an exponential function, For example, [tex]e^x[/tex] is an exponential function.
Given, The value of the account, in dollars, can be modeled as
[tex]V(t) = 30(1.05)^t[/tex].
Now at t = 3 or after 3 years, it is [tex]V(t) = 30(1.05)^3[/tex].
V(3) = $34.73 and he initially deposited $30.
So, The average rate of change is $(34.73 - 30)/3 = $(4.73)/3 = $1.58.
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Multiplying Monomials and Binomials
The dimensions of a rectangle
are x + 3 and x + 2. Which
expression represents the
area of the rectangle?
a) x2 + 6
b) x2 + 5x + 6
c) x² +6x + 6
d) x² + 6x
Answer:
A) x2+6
Step-by-step explanation:
On Tuesday morning Cody went to the gym and worked out for 1 3/5 hours
HELP IVE GOT 5 MINS!!
Answer:
< A = 148°
Step-by-step explanation:
<A = <B → 6x - 2° = 4x + 48° → 2x = 50° → x = 25°
<A = 6(25°) - 2° = 150° - 2° = 148°
What is the solution to this equation 4x=124
Answer:
31
Step-by-step explanation:
divide 124 by 4
x=124
Answer:
x=31
Step-by-step explanation:
Divide both sides of the equation by the same term
4x/4 = 124/4
Then you have to divide the numbers.
x= 124/4
x= 31
18. State the slope and y-intercept of each linear equations.
a. 6(x + y) = 3(x - y)
b. 2(x + y) = 5(y + 1)
c. 5x + 10y - 20 = 0)
Answer:
a. m = -1, y-int = 0
b. m = 2/3, y-int = -5/3
c. m = -1/2, y-int = 2
Step-by-step explanation:
-Expand equations on both sides.
-Make 'y' the subject by collecting like terms and moving everything to the right, e.g. y = ...
-Slope is the number in front of x.
-Find y-intercept by letting x = 0 and solve the equation.
Which expression is equivalent to 16 + 2 ⋅ 36?
Can someone help me please
Answer:
I think it is a scalene acute because:
➡It has acute angles
➡Its angles are not equal ⬇
Scalene triangles do not have equal angles
Hope this helps, adn have a good day! ฅ^•ﻌ•^ฅ
Write an expression for "the difference of 6 and k."
Answer:
6-k
Step-by-step explanation:
difference is subtraction so it is 6-k
Error Analysis! Answer both parts of the question.
Kaitlyn solved the equation 5y = 15 and found the answer to be y = 75.
(Problem down below in file)
Part A: In a complete sentence or two, explain what Kaitlyn's error was. What did she do wrong?
Part B: What is the correct answer? Show your work and/or explain your reasoning.
Answer:
Kaitlin's answer is wrong because she is supposed to by dividing. When trying to get rid of a number from a variable you have to divide the number by itself and whatever you do to one side you have to do to the other side
so you would do 5/5 - cancels out
15/5=3
y=3
Step-by-step explanation:
have a great day :D
Answer:
y = 3Explanation (Part A):
She was supposed to divide five both sides. However, she divided one side by five and multiplied five on the other side, which makes her answer incorrect. She got confused that if any side is divided by a number, the other side must be divided by that same number.Solution (Part B):
5y = 15=> 5y/5 = 15/5=> y = 3The correct answer must be 'y = 3'.
your consortium class raised $30 for gifts for Jefferson Elementary, which is 60% of the goal, what is 100% of the goal?
Work out m and c for the line:
y = x + 6
Step-by-step explanation:
Given equation
y = x + 6
Comparing the given equation with y = mx + c so
slope (m) = 1
y-intercept (c) = 6
Hope it will help :)❤
I don’t understand this. Please help me.
Answer:
A
Step-by-step explanation:
To check for similarity, check for the scale factor. We can see angle X and angle U are both 32°. If the triangles were similar side RS to side UV and side RT to side UW should give the same scale factor. 10:12 = 5:6 and 15:18 = 5:6. Therefore the two triangles are similar. When naming similar triangles make sure you start from the same point, so triangle RST is similar to triangle UVW.
These box plots show the basketball scores for two teams.
A. The Wolverines' distribution is negatively skewed, but the
Panthers' distribution is symmetric.
O B. Both distributions are symmetric.
C. Both distributions are negatively skewed.
D. The Wolverines' distribution is positively skewed, but the Panthers'
distribution is symmetric.
Answer: Its A
Step-by-step explanation:
have a great day!
The Wolverines' distribution is negatively skewed, but the Panthers' distribution is symmetric , Option A is the correct answer.
What is a Box Plot ?Box plot is a systematic way of distribution of data in a five number summary , minimum, first quartile , median, third quartile , and maximum .
The box plot is said positive skewed when the mean of the plot is greater than the median and the mean is more towards the lower quartile.
The box plot is said positive skewed when the mean of the plot is less than the median and median is towards the upper quartile.
In the box plot given it can be seen that the Panther's have a symmetrical box plot while , The Wolverines' distribution is negatively skewed .
Therefore , Option A is the correct answer.
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Simplify
(7x^2 - 11 + 16x) + (5x - 3x^2 - 7)
Answer:
4x^2 + 21x -18
Answer:
4x^2 + 21x -18Hope it helps ❤️
Solve for x.
13(215x−23)>x+15
x<−1943
x<1943
x>−1943
x>1943
Answer: x<-1943
Step-by-step explanation:
Answer:
I got you.
Step-by-step explanation:
There are 224 gallons of water in 16 tanks.
Find the number of gallons of water per tank
Answer:
14 gallons
Step-by-step explanation:
224/16 = 14
Answer:
The answer is B.
Step-by-step explanation:
plz help
what is the range of the data set?
Answer:
C. 6
Step-by-step explanation:
The range of a data set is the smallest number subtracted from the biggest number. In this case 7 is the biggest number, and 1 is the smallest number. This gives us the equation 7 - 1 = range which gives us 6.
HELLP QUICK!!!!! A store manager wishes to investigate whether there is a relationship between the type of promotion offered and the number of customers who spend more than $30 on a purchase. Data will be gathered and placed into the two-way table below. Customer Spending by Promotion Run Customers Spending More than $30 Customers Spending $30 or Less $10 off $50 15% off $5 off $25 Buy-1-Get-1 Half Off Which statement best describes how the manager can check if there is an association between the two variables? The manager must check relative frequencies by row because there are more than two different promotions. The manager must check relative frequencies by column because there are more than two different promotions. The manager cannot use relative frequencies to look for an association because there are more than two different promotions. The manager should check both relative frequencies by row and by column to look for an association.
Answer: Ok so the answer should be D. The manager should check both relative frequencies by row and by column to look for an association.
Step-by-step explanation:
Please help me I need this to get a A please help me
Answer:
(0,-2)?
Step-by-step explanation:
Sam and his mom arrive at the doctor’s office at 2:30 p.m. They see the doctor at 3:10 p.m. How long was their wait?
Answer: 40, have a great day!
3. Write an equation of a line with a slope of
-2 and that passes through the point (-7,13).
Answer:
y= -2+13
Step-by-step explanation:
You're Welcome - BigThiccDaddy21
A pail has a capacity 4 times that of a glass.
A jug has a capacity 3 times that of a glass.
The total capacity of the glass, pail and jug is 24 liters.
What is the capacity of the smallest item?
What is the capacity of the biggest item?
Answer:
smallest is 3L
biggest is 12L
Step-by-step explanation:
here is what i got, i hope it helps!
Pail=4 glasses
Jug=3 glasses
Glass=1 glass
4+3+1=8glasses
24L÷8glasses= 3L in each glass
pail=12L (4×3)
jug=9L (3x3)
glass=3L (1×3)
12L+9L+3L=24L
What quantity of a 50% acid solution must be mixed with a 20% solution to produce 600 mL of a 45% solution?
Answer:
400 mL
Step-by-step explanation:
0.50x + 0.20(600-x) = 0.40*600
50x + 20*600 - 20x = 40*600
30x = 20*600
x = 20*20
x = 400 mL
Andy is going to lay turf in his father’s garden
He needs to cover an area of 6000mm by 4500mm,
Answer:
6000 x 4500 = 27000000
Step-by-step explanation:
Find the slope of the line that passes through (3, 2) and (7,5)
Simplify your answer and write it as a simplified fraction.
Answer:
[tex] \frac{3}{4} [/tex]
Step-by-step explanation:
Slope is equal to the change in y over the change in x.
[tex]m = \frac{change \: in \: y}{change \: in \: x} [/tex]
The change in x is equal to the difference in x-coordinates, and the change in y is equal to the difference in y-coordinates .
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
Substitute in the values of x and y into the equation to find the slope.
[tex]m = \frac{5 - (2)}{7 - (3)} [/tex]
Simplify.
[tex]m = \frac{3}{4} [/tex]
Hence, the slope is 3/4.
Can you add 4r + 4rg?
Explain why or why not.
Answer:
no, because 4r does not have the g variable.
Step-by-step explanation:
What the geometric mean of 4 and 8
1. Los estudiantes de primer grado de la IE Miguel Grau son 184, si la relación entre los que usan anteojos y los que no usan es de 3/5. ¿Cuántos estudiantes usan anteojos?
Answer:
69 estudiantes.
Step-by-step explanation:
Sabemos que el número total de estudiantes en primer grado es 184.
También sabemos que la relación entre los que usan anteojos y los que no es 3/5.
Esta relación es igual al cociente entre el número de estudiantes que usan anteojos y el número de estudiantes que no usan anteojos.
Si definimos las variables:
A = número de estudiantes que usa anteojos
B = número de estudiantes que no usa anteojos.
Tenemos la relación:
A/B = 3/5
podemos reescribir como:
A = (3/5)*B
Y también sabemos que el número total de estudiantes es 184, entonces tendríamos que:
A + B = 184.
Podemos aislar B en esta segunda ecuación para luego reemplazarlo en la primera.
Aislando B obtenemos:
B = 184 - A
Si reemplazamos esto en la otra ecuación obtenemos:
A = (3/5)*B
A = (3/5)*(184 - A)
Ahora podemos resolver esto para A.
A = (3/5)*184 - (3/5)*A
A + (3/5)*A = (3/5)*184
A*(1 + 3/5) = (3/5)*184
A*(5/5 + 3/5) = (3/5)*184
A*(8/5) = (3/5)*184
A = (5/8)*(3/5)*184
A = 69
Podemos concluir que 69 estudiantes usan anteojos.
I will give brainliest if you help and it's correct!!
Answer:
b
Step-by-step explanation: