Applying the points given, it is found that the growth rate of the exponential function is:
c. 50%
An exponential function has the following format:
[tex]y = a(1 + r)^x[/tex]
In which:
a is the initial value, that is, the value of y when x = 0.r is the growth rate, as a decimal.In this problem:
The curve begins at (0,15), thus a = 15.It passes through (4, 75), which means that when [tex]x = 4, y = 75[/tex], and this is used to find r.[tex]y = a(1 + r)^x[/tex]
[tex]75 = 15(1 + r)^4[/tex]
[tex](1 + r)^4 = 5[/tex]
[tex]\sqrt[4]{(1 + r)^4} = \sqrt[4]{5}[/tex]
[tex]1 + r = 1.4953[/tex]
[tex]r = 1.4953 - 1[/tex]
[tex]r = 0.4953[/tex]
Thus, approximately 50%, option c.
A similar problem is given at https://brainly.com/question/23416643
Answer:
50% is the correct answer
Step-by-step explanation:
I took the test.
Given the graph of f'(x) shown below, find the intervals on which the function f(x) is increasing.
See the graph attached below.
Isn't the answer supposed to be (-infinity, -2) U (1, infinity) ?
Answer:
intervals (-3,-1) and (0,+infinity)
Step-by-step explanation:
if f'(x)>0 then f is increasing
Molly has 3 pounds of blueberries. She is freezing the berries into 1 half pound portions. How many smaller portions of blueberries will Molly make
Answer:
6 smaller portions
Step-by-step explanation:
1 pound (lb) = 16 ounces (oz)
3 lbs = 48 oz
1/2lb = 8oz
48oz (total)/8oz (amount in each portion) = 6 portions
I need help with this problem
May I please receive help?
Answer:
[tex] \alpha + (\alpha + 61) = 109 \\ 2 \alpha + 61 = 109 \\ 2 \alpha = 48 \\ \alpha = 24[/tex]
The measure of angle one is 24°
It took Sharon 105 minutes to wash three cars and put everything away. If she spent 10
minutes putting everything away, how long did it take to wash each car?
Help!
Solve for B: -6 + 2 + 3B + 4 = 2(4 + 1) - 1
Answer:
B=1.7
Step-by-step explanation:
-6+2+3B+4=2(4+1)-1
-6+2+4+3B=2(4+1)-1
3B=2-1(4+1)
3B=4+1
3B=5
B=5/3=1.7
Will give brainliest if correct
Find the slope:
15. (4, 3); (-1, 10)
16. (3, -5); (2, -5)
17. (-5, 2); (-5, 3)
Answer:
15) Slope (m) = -7/5
16) Slope (m) = 0
17) Slope (m) = 1/0 (It's an undefined slope, in other words it's just a vertical line)
Step-by-step explanation:
Use this formula for each, to find slope⤵⤵⤵
[tex] \frac{y {2} - y1}{x2 - x1} [/tex]
15) ⤵
[tex] \frac{10 - 3}{ - 1 - 4} = \frac{7}{ - 5} = - \frac{7}{5} [/tex]
16) ⤵
[tex]\frac{ - 5 - ( - 5)} {2 - 3} = \frac{0}{ - 1} = 0[/tex]
17) ⤵
[tex] \frac{ 3 - 2}{ - 5 - ( - 5)} = \frac{1}{0} [/tex]
Hope this helps :)
Item 1
What is the slope of the line on the graph?
WORTH 20 POINTS
Enter your answer in the box.
Answer:
-2
Step-by-step explanation:
Hope it helps
.Write 1.2 - 10-5 in standard form
guys pls help me!!!!!!
Corresponding angles for 62⁰,
angles in a straight line equals 180⁰
180⁰-62⁰
118⁰
x equals 118⁰
Starting at (0,0) if you were to go 8 units down and 10 units left what coordinates
would you end up at? What quadrant would you be in?
Answer:
(-10, -8), third quadrant
Step-by-step explanation:
8 down from (0, 0) is the same as subtracting 8 from the y coordinate → (0, -8). 10 left from (0, -8) is the same as subtracting 10 from the x coordinate → (-10, -8). You would be in the third quadrant where both coordinates are negative.
Hope this helps!
what is b divided by b% of b? PLS HELP
Answer:
b / (b/100×b)
= b / (b/50
= 50b/b
= 50
Step-by-step explanation:
brainliest plz
Answer:
b²/0.0b
Step-by-step explanation:
You're asking what is
[tex] \frac{b}{b\%} \times b[/tex]
Know that b% translates to b/100=0.0b
b×b=b²
Therefore it becomes
[tex] \frac{ {b}^{2} }{0.0b} [/tex]
4x - 3 = 5 X=? can anyone tell me please
Answer:
x = 2
Step-by-step explanation:
4x - 3 = 5
4x = 8
x = 8/4
x = 2
------------
4 (2) - 3 = 5
8 - 3 = 5
5 = 5
answer: x = 2
20 × 4¹² / 4⁷ × 4⁹
please answerrrrrrr
Answer:
The answer is 5,368,709,120
how many solutions can a quadratic have
a.0 solution
b.1 solution
c.2 solutions
d.3 solutions
A
32°
B
D
=
С
m2C = [?]
Enter the number that belongs in
the green box
Enter
Answer:
58°
Step-by-step explanation:
in ΔABD
∠ADB = 32°
∠DBA = 90°
∠BAD = 180° - (32 + 90)
∠BAD = 58°
As ΔBAD ≅ ΔBCD
∠BAD = ∠BCD
So ∠BCD = 58°
plzz help me with this question
Answer:
The answer to this question is C
[tex]y = \frac{3}{2} x + 7 \\ \\ y = \frac{1}{2}x + 1 [/tex]
Given the Quadrilateral pictured below. What is the
value of "X"?
Answer:
Value of x is used to consider unknown value.
Step-by-step explanation:
Value of x is used to consider unknown value. The letter “x” is commonly used in algebra to indicate an unknown value. It is referred to as a “variable” or, in some cases, a “unknown.” In x + 2 = 7, x is a variable.
May I please receive help?
Answer:
m<1=47 and m<2=29
Step-by-step explanation:
The correct equation that goes through the point (3, 4) and is parallel to the line y=2x+1
Answer: y = 2x -2
Step-by-step explanation: parallel is same slope diff y intercept
y = 2x
4 = 2(3) + x
4 = 6 + x
x = -2
what is two million,six thousand in numbers
Answer 2,6000
Step-by-step explanation:
LOL
A box contains plain pencils and 7 pens. A second box contains 6 colored pencils and 2 crayons. One item from each box is chosen at random. What is the probability that a plain pencil from the first box and a color pencil from the second box are selected? Write your answer as a fraction.
Answer:
it is 3 as a simplified fraction
Step-by-step explanation:
BOX 1) 5 plain pencils and 7 pens.
BOX 2) 6 color pencils and 2 crayons.
Plain pencil (first box) ~ 5 : 7
Color pencil (second box) ~ 6 : 2
Simplify.
3 : 1 <== Second box
What is the complete factored form of f(x)=x3+5x2+4x−6?
A: f(x)=(x+3) (x-(-1+√3)) (x-(-1-√3))
B: f(x)=(x−3)(x−(−1+i√3)) (x−(−1−i√3))
C: f(x)=(x+3)(x−(−1+i√3)) (x−(−1−i√3))
D: f(x)=(x−3)(x−(−1+√3)) (x−(−1−√3))
Please answer as soon as possible!
Answer:
The answer is A
Step-by-step explanation:
I just took the test
Write the equation of the line shown in the graph to the right
Hint: Think about slope and y-intercept.
Answer:
y=2x-6
Step-by-step explanation:
The intercept is -6 so -6 and you take two points on the line e. g. (3,0) and (2,-2) You would do -2-0 to get -2 and 2-3 to get -1. -2 divided by -1 equals 2. The slope is two.
If r is the midpoint of AB and AR=14, then AB=______
Answer:
28
Step-by-step explanation:
The midpoint is halfway, so if half the length is 14 then the full length is 28 (14 × 2 = 28)
Hope this helps!
May I please receive help?
Answer:
m<2 = 94°
Step-by-step explanation:
just have to subtract 132-39=94
8. Negative three times the sum of a number and two is fifteen
Answer:
-3(n + 2)= 15
Step-by-step explanation:
Based on this question, we know that the equation involves multiplication. Here we start our equation with -3!
Then it says "times the sum of a number and two" So let's just say the "number" is "n". The word "sum" means the answer to an addition problem, thus we know that we are adding "n" and 2. Let's put that in parenthesis!
-3(n+2)
And it says "is fifteen" which also means "equals to fifteen"
Therefore, the answer is:
-3(n + 2) = 15
Hope you find this useful :D
WHO WANTS TO SOLVE ANY MATH QUESTION?
Answer:ok
Step-by-step explanation:
ez ez ez ez
Ron earned $95 in interest for leaving $1,000 in an account for 3 years. What was his rate? Round to the nearest hundredth (2 decimal places).
Answer:
x=0.0307
Step-by-step explanation:
6. Write the following cubes in expanded form:
(iii) (3a + 4b)³
8. Evaluate the following cubes using suitable Identities:
(ii) (999)³
Answer:
Step-by-step explanation:
we can use this algebraic identity:
[tex](a+b)^{3} =a^{3} +b^{3} +3ab(a+b)[/tex]
So,[tex](3a+4b)^{3} =(3a)^{3} +(4b)^{3}+3(3a)(4b)(3a+4b)[/tex]
=[tex](3a+4b)^{3} =27a^{3} +64b^{3} +36ab(3a+4b)[/tex]
=[tex](3a+4b)^{3} =27a^{3} +64b^{3} +108a^{2} b+144ab^{2}[/tex]
[tex](999)^{3}[/tex]=[tex](1000-1)^{3}[/tex]
Now, we can use the following identity:
[tex](a-b)^{3} =a^{3} -b^{3} -3ab(a-b)[/tex]
=[tex](1000-1)^{3} =1000^{3} -1^{3} -3(1000)(1)(1000-1)\\[/tex]
[tex](1000-1)^{3} =1,000,000,000-1-2,997,000[/tex]
[tex](1000-1)^{3} =997,002,999[/tex]
