Answer:
Exponential function is:
y = 100 (1.03)ˣ
Step-by-step explanation:
We know that the exponential growth function is of the form
y = a (1 + r)ˣ
Here:
a = initial value
r = growth rate
x = number of time intervals that have passed
Given that A new savings account is opened with 400. Thus,
a = 400
Given that a new saving account gains 3% every year.
r = 3% = 0.03
now substituting a = 400 and r = 0.03 in the function
y = a (1 + r)ˣ
y = 100 (1 + 0.03)ˣ
y = 100 (1.03)ˣ
Therefore, exponential function is:
y = 100 (1.03)ˣ
Please note that the growth factor i.e. 1.03 is greater than 1, so the exponential function represents exponential growth.
somebody please help i don't understand this. I'd really appreciate it. and please don't steal points :) . i will mark you brainliest.
Answer:
1) You think of G(x) as x, so you plug it in. So, f(x) = [tex]-2^{2}[/tex] - 2, which is 4 - 2, which is 2.
3) Y = 1
I think, I'm not 100% sure--
Explain the power of products property and give an example
Answer:
We use the power of a product rule when there are more than one variables being multiplied together and raised to a power. The power of a product rule tells us that we can simplify a power of a power by multiplying the exponents and keeping the same base.
3 raised to the power of 4 is = 81
please HELP
what are the two angles called
Answer:
The angles are supplementary.
Step-by-step explanation:
Both angles lie on a straight line. When two angles are right next to each other on a straight line, then they add up to 180...therefore they are supplementary.
Hope this helps!! :D
Is y=-3/4x + 8 linear?
Answer:
Yes
Step-by-step explanation:
Answer:
yes it is
Step-by-step explanation:
Luciana is adding water to a pool at a constant rate. Before she added any water, the pool had $12,000$ gallons of water. Luciana is adding $9$ gallons of water each minute.
Which equation represents the total number of gallons of water in the pool, $w$ , after Luciana adds water for $m$ number of minutes?
Answer:
T(m) = 12,000 gallons + (9 gallons/ minute)m
Step-by-step explanation:
This is a linear function with beginning value 12,000 gallons and unit rate of increase 9 gallons/minute:
T(m) = 12,000 gallons + (9 gallons/ minute)m
PS: Please don't use " $ " to set off numbers. Not needed!
Tom gets paid $12 for every lawn he mows. The amount of
money he earns depends on the number of lawns he
mows.
Which is the dependent variable, and which is the independent variable?
A. The dependent variable is the amount of money he earns, and the
independent variable is the area of the lawn.
B. The dependent variable is the number of lawns he mows, and the
independent variable is the amount of money he earns
C. The dependent variable is the amount of money he earns, and the
independent variable is the number of lawns he mows
D. The dependent variable is the area of the lawn, and the
independent variable is the amount of money he earns
Answer:
C: The dependent variable is the amount of money he earns, and the
independent variable is the number of lawns he mows
Step-by-step explanation: Just took the test
A company that manufactures memory chips for digital cameras used the formula c= 126\root(3)(n^(2))+ 1257 to determine the cost c, in dollars, of producing n chips. How much will it cost to produce 230 chips?
4(x+3)=8 whats is the value of x value
Answer:
-1
Step-by-step explanation:
4(x+3)=8
4x+12=8
-12 -12
4x=-4
x=-1
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{4(x + 3) = 8}\\\mathsf{\rightarrow 4(1x + 3) = 8}\\\mathsf{\rightarrow 4(x) + 4(3) = 8}\\\mathsf{\rightarrow 4(1x) + 4(3) = 8}\\\mathsf{\rightarrow 4x + 12 = 8}\\\\\large\text{SUBTRACT 8 to BOTH SIDES}\\\mathsf{\rightarrow 4x + 12 - 12 = 8 - 12}\\\\\large\text{SIMPLIFY IT!}\\\mathsf{\rightarrow 4x = 8 - 12}\\\mathsf{\rightarrow 4x = -4}\\\\\large\text{DIVIDE 4 to BOTH SIDES}\\\mathsf{\rightarrow \dfrac{4x}{4}= \dfrac{-4}{4}}[/tex]
[tex]\large\text{SIMPLIFY IT!}\\\mathsf{\rightarrow x = \dfrac{-4}{4}}\\\mathsf{\rightarrow x = -1}\\\\\\\huge\text{Therefore, your answer should be: \boxed{\mathsf{x = -1}}}\huge\checkmark[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]Damaris owns a small business and is hiring a staff of employees. Each full-time employee
will be paid a yearly salary of $32,000. Each part-time employee will be paid a yearly salary
of $15,000. Damaris has $245,000 allocated for employees' yearly salaries. If Damaris hires
5 part-time employees how many full-time employees can she afford to hire?
Answer: 5
Step-by-step explanation:
5x15,000=75,000
245,000-75,000=170,000
170,000\32,000=5.3125
She's able to hire 5 part-time employees
Please help me, i am honestly confused, its about 1am, and i rlly, rlly need help
y=2
There is no slope because the y value stays constant. When the table is graphed, it is a horizontal line at 2. I hope this helps!
please help, ill give you brainly :)
PLZZZ HELP ME!
help me
Answer:
1. 1/3
2. 4/9
3. 5/8
Step-by-step explanation:
1. 3/6 - 1/6 = 2/6 = 1/3
2. 7/9 - 3/9 = 4/9
3. 7/8 - 2/8 = 5/8
help meee 50 points explain ALL OF IT
Answer:
2
=3
Step-by-step explanation:
yes
What are integers?
Please give your best explanation and a simple example (worth 20 points)
Integer is a subset of Real Number. It can be broken into these following:
Positive IntegerZeroNegative IntegerInteger can be any whole numbers. Keep in mind that Integers cannot be fractions, decimal, approximate value, etc. Integers can only be something like 1,2,3,-1,-2,0.
Integers are like Natural or Counting Numbers except they have 0 and negative numbers.
Positive IntegerPositive Integers are basically a natural or counting number. It starts from 1 to any positive countable infinity. Here is the example of positive integer: 1,2,3,4,5,6,7,...
ZeroZero is just a number 0. It is between the negative and positive. 0 is neither positive or negative but it is categorized as Zero.
Negative IntegersNegative Integers are opposite of Positive Integers. The opposite of plus is minus and the opposite of minus is plus. Negative Integers are less than both 0 and Positive Integers. Here is the example: -1,-2,-3,-4,-5,...
Integers are whole numbers with a positive or negative counterparts.
If that doesn't make sense let me make some examples
-4, 100, 9300 would be integers. Using my definition they all have negative or positive counterparts.
-2.3, 7.8888(etc.) 2/3 would not be integers. Even though -2.3 and 7.8888(etc.) have negative/ positive counterparts they are not whole numbers.
Hope that helped!
Can someone help solve this please
Answer:
X=1
Step-by-step explanation:
isolate the variable by dividing each side by 5
What is the measure of <1?
A. 50
B. 60
C. 80
D. 100
Answer:
Your answer already :) aka 50 degrees
Step-by-step explanation:
The next two angles are the same so just do 180-80 (100) then 100/2 and get 50 :]
Answer:
A 50º
Step-by-step explanation:
sum of the interior angle of a triangle = 180º
⦣1 = ⦣2
⦣1 and⦣2 = 180º - 80º = 100º
100º/2 = 50º
A $95 graphing calculator is on sale for $85.50.
The percent decrease is _____.
9%
1%
10%
9.5%
Answer:
10%
Step-by-step explanation:
moo
Plz help due tomorrow
can someone help with my quyestion, its on the image
Find the solution to the system of equations. y= 2x + 3 (-1, [?])
Answer:
(-1, 1)
Step-by-step explanation:
plug in -1 for x
y = 2(-1) + 3
y = -2 + 3
y = 1
(-1, 1)
please help, and i will make you BRAINLIEST
If x = 9, solve this equation: 28 - 2x = __________?
Answer:
10
Step-by-step explanation:
28-2(9)=?
28-18=10
Guillermo bought some reams of paper for $10 each and a $100 printer. He spent a total of $450. Write and solve an equation to find the number of reams of paper Guillermo purchased.
Answer:
x = amount of paper
10x + 100 = 450
10x = 350
x = 35
Brainiest plz :)
Please help I will mark brainiest ✅
Answer:
y=-2x-3
the line is going downwards which makes the slop a negative value
Step-by-step explanation:
Is the equation y=3x in slope-intercept form? Explain. The equation y=3x in slope-intercept form. Question 2 The slope is and the y-intercept is a .
Given:
The given equation is
[tex]y=3x[/tex]
To find:
Whether the given equation is in the slope intercept form or not, then find the slope and y-intercept.
Solution:
Slope intercept form of a linear function is
[tex]y=mx+b[/tex] ...(i)
Where, m is the slope and b is the y-intercept.
We have,
[tex]y=3x[/tex]
It can be written as
[tex]y=3x+0[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=3,b=0[/tex]
Therefore, the given equations is in slope intercept form. The slope of the line is 3 and the y-intercept is 0.
Work out
a) 4 1/3 × 6
b) 2 3/5 × 3 1/3
Answer:
1. 26
2. 8 2/3
Step-by-step explanation:
4 1/3 x 6 = 13/3 x 6 = 78/3 = 26
2 3/5 x 3 1/3 = 13/5 x 10/3 = 130/15 = 8 2/3
Answer:
41/3 x 6 = 82
2 3/5 x 3 1/3=86.7
Step-by-step explanation:
Does y=-2x represent a function
50 POINTS! Is the relationship shown by the data linear? If so, model the data with an equation.
The relationship is not linear.
The relationship is linear; y + 4 = 2(x – 1).
The relationship is linear; y – 1 = –2(x + 4).
The relationship is linear;y+4=-1/2(x-1)
Answer:
The relationship is not linear.
Step-by-step explanation:
Answer:
Where is the picture to model the data?
Step-by-step explanation:
Find the slope of the line through each pair of points (13,-15) (5,5)
Answer:-2.5
Step-by-step explanation:
The slope is -2.5
What is the least number of bills Sean could use to make $40
Answer:
2 bills (20 and 20)
Step-by-step explanation:
There is no $40 bill, so 2 is the least number you can use to make 40$, which would be 20 and 20
Answer:
2
Step-by-step explanation:
2, $20 bills?
pls help:(...........———
Answer:
Just for points sorry
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
6+12+14=32