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:
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m
my
b...
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$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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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:
Which expression is equivalent to 16 + 2 ⋅ 36?
Plz help! Pretty easy problems!
Answer:
The first is 9 sq.units
The second is 8 sq units
The third is 180mm squared
Step-by-step explanation:
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:
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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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.
Simplify
(7x^2 - 11 + 16x) + (5x - 3x^2 - 7)
Answer:
4x^2 + 21x -18
Answer:
4x^2 + 21x -18Hope it helps ❤️
need help pls will mark brainliest
Answer:
y = (2/7)x - 7
Step-by-step explanation:
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 :)❤
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 the geometric mean of 4 and 8
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°
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.
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:
What is the greatest common factor of 24 and 6?
A. 6
B. 4
C. 2
D. 3
PLZ HELP ASAP
I will give brainliest if you help and it's correct!!
Answer:
b
Step-by-step explanation:
On Tuesday morning Cody went to the gym and worked out for 1 3/5 hours
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:
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
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 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
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:
your consortium class raised $30 for gifts for Jefferson Elementary, which is 60% of the goal, what is 100% of the goal?
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.
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!
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.
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
Please help me I need this to get a A please help me
Answer:
(0,-2)?
Step-by-step explanation:
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