Using an exponential function, it is found that:
a) The model is: [tex]A(t) = 30000(1.05)^t[/tex]
b) Her predicted profit is of $62,368.
An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate.Item a:
$30,000 in profits on the first year, hence [tex]A(0) = 30000[/tex].Grows 5% each year, hnce [tex]r = 0.05[/tex]Then:
[tex]A(t) = A(0)(1 + r)^t[/tex]
[tex]A(t) = 30000(1 + 0.05)^t[/tex]
[tex]A(t) = 30000(1.05)^t[/tex]
Item b:
[tex]A(15) = 30000(1.05)^{15} = 62368[/tex]
Her predicted profit is of $62,368.
For more on exponential functions, you can check https://brainly.com/question/25537936
A factory puts 5/8 of a gallon of vinegar into each batch of salad dressing. How many gallons of vinegar will be used in 2 batches?
Answer:
1 1/4
Step-by-step explanation:
[tex]\frac{5}{8} +\frac{5}{8}=\frac{10}{8}= 1 \frac{2}{8}= 1\frac{1}{4}[/tex]
five eighths plus five eighths equals ten eighths simplified to one and two eighths and simplified again to one and one fourth.
How to multiply mixed fractions with same denominators.
Answer:
multiply the numerators; express that product over the product of the denominators
Step-by-step explanation:
Multiplication of fractions is done the same way regardless of whether the denominators are the same or different.
[tex]\dfrac{a}{b}\times\dfrac{c}{d}=\dfrac{ac}{bd}[/tex]
The numerator of the product is the product of the numerators.
The denominator of the product is the product of the denominators.
Solve for x
3-11x=-118
PLEASE HELP WHAT IS X
Answer:
11
Step-by-step explanation:
You would need to -3 on both sides to get:
-11x = -121.
To find x on it's own you would have to divide by -11 on both sides.
You would get a result of x = 11.
Hope this helps :)
what is the mean number of cars owned by a family? Give your answer to 1 decimal place.
Answer:
Step-by-step explanation:
total # of families=15
families that own 0 cars=2
families that own 1 cars=5
families that own 2cars=4
families that own 3 cars=3
families that own 4 cars=1
so 2+5+4+3+1=15
total# of families/ sum of cars = 15/15=1
Can someone please help I will give you 30 points and brainliest if the answer is right also no links please
Answer:
HL.
Step-by-step explanation:
Triangles FEH and FGH are congruent
They are both right angles and the hypotenuse and a leg ( the side FH) are both equal in length.
Which of the following is the additive inverse of 4/31 ?
A. 4/31
B. - 4/31
C. 31/4
D. - 31/4
( Thanks In Advance )
Answer:
c 31b4
Step-by-step explanation:
there are 16 children and 24 adults what percent are children and what percent are adults
Answer:
60% adult
40% children
Reasoning:
Add the adults and children first.
Then find the ratios of the children and parent percentages.
16:40 children
24:40 adult
16/40=2/5=0.4=40% children
24/40=3/5=0.6=60% adult
Answer:
40% is children and 60% in adults
Step-by-step explanation:
so if you add the two you have 40, 100% of 40 is 40 and 50% is 20, so we know that the children percent is less than 50, if you go through you will find that 40% of 40 is 16 therefor leaving the rest (aka 60%) to be adults
Solve for s.
s
4
− 2
= 2
s =
Answer:
is 2
Step-by-step explanation:
is 2 why yes
Use algebra to show that, for this machine, if x is a a-1
Help me please thank you 20 pts
Answer:
[tex]x = a - 1[/tex]
Step-by-step explanation:
from what you told me you put it in a formula
so I says it in a algebraic format
Nell has a piggy bank full of dimes and nickels. She empties the bank and counts the coins. She counts 30
coins in all, with a total value of $2.90. Nell says she has 14 dimes and 16 nickels.
(a) Write a system of linear equations to represent the number of coins that Nell had in her piggy bank
and the total value of the coins.
(b) Determine whether Nell could have counted the number of dimes and nickels correctly. Show all your
work to prove whether she counted the coins correctly.
[a] A dime is worth 10 cents (0.10 dollars) and a nickel is worth 5 cents (0.05 dollars). If there are 30 coins in all, we can set up a linear equation in standard form to look like this:
30 - n = d
Since the total is 2.9, we can do the following:
{ 30 - n = d
{ .05n + .10d = 2.90
And our system is in bold
(where n is nickels and d is dimes, you could also use x and y if you wish)
[b] She could have counted the number of dimes and nickles correctly, but she did not. The number of nickles is 2 with there being 28 dimes.
Now, we will solve:
.05n + .10(30 - n) = 2.90
.05n + 3 - .1n = 2.9
3 - .05n = 2.9
3 = .05n + 2.90
.05n = 0.1
n = 2
(dimes is 30 - 2 = 28)
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
what equations are equivalent to 60% of 25
Step-by-step explanation:
Since,
[tex]60\%25 = 15[/tex]
Another equation that equals 15 is
[tex]25 \times 0.6 = 15[/tex]
Find the slope of the graph
a. -2
b. -1/2
c. 2
d. 1/2
I'll give correct answer brainliest
Answer:
answer is d
by using rise over run you get 3/6 which is then simplified into 1/2
Seven friends each bought a movie ticket for $14.95, popcorn for $6.99, and a drink for $2.25. How much did the friends spend in all?
Answer:
$169.33
Step-by-step explanation:
Each of the friends spent ...
$14.95 +6.99 +2.25 = $24.19
The seven friends together spent ...
7($24.19) = $169.33
Julissa is printing out copies for a work training. It takes 4 minutes to print a color copy, and it takes 2 minutes to print a grayscale copy. She needs to print no fewer than 8 copies within 25 minutes.
Which system of inequalities represents the number of color copies, x, and grayscale copies, y, that Julissa can print to meet her goal?
Answer:
4x + 2y ≤ 25 , x + y ≥ 8 is the required system of inequalities to represent the given situation.
Step-by-step explanation:
Here, let the number of color copies = x
Now, the time taken to print each color copy = 4 minutes
⇒Time taken to print x color copies = x times ( Time taken by each copy)
= 4 (x) = 4x
and let the number gray scale copies = y
The time taken to print each gray scale copy = 2 minutes
⇒Time taken to print y gray scale copy = y times (Time taken by each copy)
= 2 (y) = 2y
Total copies printed = x + y
Maximum time taken to print x color copies and y grayscale copies
= 4x + 2y
So, according to the question:
4x + 2y ≤ 25 ( as maximum allotted time is 25 minutes)
and x + y ≥ 8 (as minimum number of copies is 8)
hence, the above system is the required system of inequalities to represent the given situation.
I hope this helps.
Round 21.897 to the nearest hundredth.
Answer:
21.900 - 21.9
Step-by-step explanation:
if your rounding it its 21.900 or 21.9
Can I get some help on this I have so many assignments to do and I just want to go to sleep
5.
Is the data point, P, an outlier, an influential point, both, or neither?
Answer:
outlier
Step-by-step explanation:
it is way to far away to be any of those other options. that means it is an outlier.
Help me I don’t get this.
Answer:
i think its 105
Step-by-step explanation:
GEOMETRY QUESTION W PICTURE
Answer:
R
Step-by-step explanation:
E is congruent to R because of angle stuff
#20 i
Find the coordinates of the midpoint of the line segment with the endpoints R(-5, -7) and
S(2, -4)
Answer:
First, we need to know the relationship between "a" and "c". And "10" is not a co-ordinate. A co-ordinate has 2 or 3 numbers in it like 10,17, or like 10,17,5.
Step-by-step explanation:
what are the values of the variables
Answer:
21
Step-by-step explanation:
we know that according to the isosceles triangle theorem, that the angles of the triangle are 90, 2x+3, 2x+3
from the triangle angle sum theorem, we know that 4x+6 = 90
solving, we get 4x=84, x=21
Answer:
isosceles + a right angle, so both angles at the bottom are the same and equal to (2x+3).
so we have 180 degrees = 90 + (2x+3) + (2x+3)
so x = 21
Can you tell me how and what the answer is
Answer:
-2
Step-by-step explanation:
the formula for finding slope using points (x1, y1) and (x2, y2) is (y2 - y1) / (x2 - x1). using this with the points (0,3) and (1,1) gets us (1-3)/(1-0) = -2/1 = -2. so the slope is -2
Answer:
-2
Step-by-step explanation:
The slope of a line is defined as the difference in y, divided by the difference in x. [tex]m= \frac{\Delta y}{\Delta x} =\frac{3-1}{0-1} = \frac2{-1} = -2[/tex]
solve the equation please
142=10+4x+7x
x= what
Answer:
11
Step-by-step explanation:
142=10+12x
132=12x
11=x
Answer:
x=12
Step-by-step explanation:
HELPPPPPPPPPPPPP
A: equilateral and right
B: equilateral and isosceles
C: isosceles and scalene
D: isosceles and right
Answer:
C. (I think)
Step-by-step explanation:
So, it is definitely not a right triangle so A and D can step out. And it is not equilateral because all sides are not the same length, that means B is out. It might be C.
HELP ME HELP ME HELP ME!!! Given f(x) below, find f^-1(x).
Answer:
[tex]f^{-1}[/tex] (x) = 6 - 4x
Step-by-step explanation:
let y = f(x) and rearrange making x the subject
y = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{3}{2}[/tex] ( multiply through by 4 to clear the fractions )
4y = - x + 6 ( subtract 6 from both sides )
4y - 6 = - x ( multiply through by - 1 )
- 4y + 6 = x
Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then
[tex]f^{-1}[/tex] (x) = 6 - 4x
For a 100 ponits : 13+(-19)=
ANSWER:
Answer:
-6
Step-by-step explanation:
tatiana had $350. she spent $180 on herself ad the rest on presents for her family.writ an equation to express how much tatiana spent on her family.
Answer:
$350 - $180 = $170
$180 = T
$170 = F
T = Tatiana
F = Family
Step-by-step explanation:
Answer:
Equation to express how much Tatiana spent on her family
= $(350-180)
How to graph an equation.
Answer:
Below
Step-by-step explanation:
To graph an equation, we must have a y-intercept and a slope. Now, our equation is y = mx + b
We just replace the slope with 'm' and the y-intercept with 'b'. Let's say that our slope is 4 and y-intercept is 5. Then our equation will be y = 4x + 5.
Hoped this helped.
Please help with this math problem! Will give brainliest!! :)
Answer:
x = 20
y = 70
Step-by-step explanation:
Solve for x:
5x - 20 = 3x + 20
2x - 20 = 20
2x = 40
x = 20°
Solve for y:
x + y = 90°;
(20) + y = 90°
y = 90 - 20
y = 70°
Hope this helps!
Select the correct answer.
Which graph best represents a function with zeros of -3, 0, and 2?
Answer: C
Step-by-step explanation:
The answer is C
The graph C. represents the polynomial with zeros of -3, 0 and 2.
What are zeros of a polynomial?The zeros of a polynomial p(x) are all the x-values that make the polynomial equal to zero. They are interesting to us for many reasons, one of which is that they tell us about the x-intercepts of the polynomial's graph.
Or we can say that the x- intercept of the graph of the polynomial are the zeros of that polynomial. Thus, the graph with x - intercept -3, 0, 2 represent the required function.
Learn more about zeros of a polynomial here
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