Someone please help me ASAP
Given:
The number of alligators in a wildlife is given by the function
[tex]f(x)=3450(1.04)^{x+1}[/tex]
To find:
The average growth rate of change from the 4th year to the 7th year.
Solution:
We have,
[tex]f(x)=3450(1.04)^{x+1}[/tex]
For x=4, we get
[tex]f(4)=3450(1.04)^{4+1}[/tex]
[tex]f(4)=3450(1.04)^{5}[/tex]
[tex]f(4)=4197.4525[/tex]
For x=7, we get
[tex]f(7)=3450(1.04)^{7+1}[/tex]
[tex]f(7)=3450(1.04)^{8}[/tex]
[tex]f(7)=4721.5632[/tex]
Now, the average growth rate of change from the 4th year to the 7th year is
[tex]m=\dfrac{f(7)-f(4)}{7-4}[/tex]
[tex]m=\dfrac{4721.5632-4197.4525}{3}[/tex]
[tex]m=\dfrac{524.1107}{3}[/tex]
[tex]m\approx 174.70[/tex]
Therefore, the average growth rate of the change from the 4th year to the 7th year is 174.70 per year.
An it that was selling for $72.00 is reduced to $60.00. Find the percent decrease in price. Round your answer to the nearest tenth.
pls SOLVE <3l!!
Determine when the cost of the two services will be the same amount, and what the price will be.
The Strauss family is deciding between two lawn-care services. Green Lawn charges a $42 startup fee plus
$28 per month. Yard Guard charges a $24 startup fee plus $34 per month.
After
months, a customer would have paid either company $
Answer:
the answer is 159 dollars in total
Step-by-step explanation:
good luck guys
5/6x+2/3x+4=7
What is x and I REALLY REALLY NEED AN EXPLANATION
I NEED IT KNOW PLEASEEE
Answer:
360
Step-by-step explanation:
Please help. Will mark brainliest! Answer the questions.
Answer:
160 .........................................................................
Please hurry; Which function increases the fastest? A. y 5 14x B. y 5 23 · 17x C. y 5 120x D. y 5 2275x^x
a y = 14^x
b y = -3 (17)^x
c y = 120x
d y = -275x
Answer: y = 14^x
Step-by-step explanation:
Here the options are:
a y = 14^x
b y = -3*(17)^x
c y = 120x
d y = -275x
to see which function increases the fastest (or which function is steeper) we need to look at the first derivations of each one of these, and see which one is larger for every value of x:
the derivations are:
a y = x*14^(x - 1)
b y = -x*3*(17)^(x - 1)
c y = 120
d y = -275
So we can already discard options c and d, because have constant rate of change.
Then we keep options a and b.
Always when we have an exponential function, like a^x and b^x
The one with the larger base will be steeper.
So if a > b, then:
a^x is steeper than b^x
In this case, the function:
y = -3*(17)^x
has a larger base, but, this function is negative.
This means that as x increases, our function will decrease, then this function will not "increase the fastest" (because it does not increase)
Then the left option (a: y = 14^x)
Will be the correct one.
(this will happen after some value of x, because two of the options have constant derivatives, these may be steeper for smaller values of x, and as x increases, we will see that y = 14^x is the one that increases the fastest)
Item 2
Which of the following is not another way of expressing 88 out of 100?
22/25
0.088
88%
0.88
Answer:
The answer is B: 0.088
Step-by-step explanation:
22/25, multiply both sides by 4 to get 88/100
88% is 88/100
0.88 is 88/10
Angles 1 and 2 are complementary. If m<1 = 56°, what is the measure of <2?
Answer:
34°
Step-by-step explanation:
complementary means they equal 90° so you just have to subtract 56 from 90 and then you get your answer.
This week Leah got a promotion at work that came with a 6 % pay increase. If now her monthly
salary is $2862, how much was she making before the raise?
Answer:
$2690.28
Step-by-step explanation:
2862 decrease 6% =
2862 × (1 - 6%) = 2862 × (1 - 0.06) = 2690.28
Answer:
2700
Step-by-step explanation:
106%-> 2862
100%->2700
I NEED HELP ASAP PLEASE SOLVE FOR X
what is 5% of 20? I need help
Answer:10
Step-by-step explanation:
HELP HELP PLSSSSSSSSS
Answer:
9) c) 1
10) c) 215
Step-by-step explanation:
Step:1
Given that the expression
[tex]\frac{31+r}{2} - \frac{9r-5}{4}[/tex]
Put r = 9
= [tex]\frac{31+9}{2} - \frac{9(9)-5}{4}[/tex]
= [tex]\frac{40}{2} -\frac{76}{4}[/tex]
= 20 - 19
=1
Step(ii):-
Given that
[tex]\frac{5(4r-16)}{5} +13(3r-12)[/tex]
Put r = 9
= [tex]\frac{5(4(9)-16)}{5} +13(3(9)-12)[/tex]
= 20 + 13(15)
= 215
Please help me with these questions I’ll give you brainliest if you help with all questions
Answer:
sorry sorry sorry sorry sorry sorry sorry sorry sorry sorry sorry sorry sorry sorry sorry sorryStep-by-step explanation: i dont kno w
Find the area of the shape below.
Hint: Find the area of the two triangles and the square and add them together.
4[1 2 -1 5]
Someone help me with this bs
Answer:
-12
Step-by-step explanation:
12 - 15 = -3
4 ( -3 )
= -12
Answer: -12
Step-by-step explanation:
We have 4[12 -15]
Next, we have subtract in the parentheses since it's part of PEDMAS
12-15
After that, we get -3. Whenever a you multiply a whole number with a negative number, the whole becomes negative.
12- 15= -3
And Lastly, we multiply.
4x -3= -12
Hope this helps!
what is -40p2 -7m+20p2 -4m +11m???
Is 0.7 bigger or 0.75
Answer: 0.75 Is bigger
Step-by-step explanation:
0.7 is 0.70
meaning 0.75 is bigger.
Answer:
.75 is larger
Step-by-step explanation:
Think about it in terms of whole number. 75 is greater than 70, therefore .75 is greater than .70
There is a hidden 0 after the .7
32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 800 grams while babies born after a gestation period of 40 weeks have a mean weight of 2800 grams and a standard deviation of 370 grams. If a 32-week gestation period baby weighs 2375 grams and a 41-week gestation period baby weighs 2675 grams, find the corresponding z-scores. Which baby weighs less relative to the gestation period?
Find the corresponding z-scores. Which baby weighs relatively less? Select the correct choice below and fill in the answer boxes to complete your choice.
(Round to two decimal places as needed.)
A.
The baby born in week 32 weighs relatively less since its z-score, nothing, is smaller than the z-score of nothing for the baby born in week 41.
B.
The baby born in week 41 weighs relatively less since its z-score, nothing, is smaller than the z-score of nothing for the baby born in week 32.
C.
The baby born in week 41 weighs relatively less since its z-score, nothing, is larger than the z-score of nothing for the baby born in week 32.
D.
The baby born in week 32 weighs relatively less since its z-score, nothing, is larger than the z-score of nothing for the baby born in week 41.
Answer:
Step-by-step explanation:
Answer:
Babies of 33 week weighs relatively less than the babies of 41 week.
Explanation:
Z score is determined by
x-u/sd
A) For 33 Week baby
Given
Mean 2500
SD 800
Z score is
2600-2500/800 =0.125
B) For 41 Week baby
Given
Mean 2800
SD 425
x=2900
Z score is
2900-2800/425 =0.235
The z score depicts that the baby of 33 week or 41 week weighs more than the normal babies of same age group.
Thus, babies of 33 week weighs relatively less than the babies of 41 week.
Why is a data point with an x-coordinate of 0 a good point to use when creating a trend line for a data set? The graph shows the altitude of a weather balloon over time. The trend line passes through the points (0,481) and (10,39,). Write the equation of a trend line for the data shown in the graph. After how many minutes is the balloon at an altitude of 454.6 feet above sea level?
It takes the balloon 0.6 minutes to reach an altitude of 454.6 feet above sea level
A linear equation is given by:
y =mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Let y represent the altitude of the balloon at time x.
Given that a trend line passes through the point (0,481) and (10,39), the equation of the trend line is:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-481=\frac{39-481}{10-0}(x-0)\\\\y=-44.2x+481[/tex]
At 454.6 ft:
454.6 = -44.2x + 481
-26.4 = -44.2
t = 0.6 minutes
It takes the balloon 0.6 minutes to reach an altitude of 454.6 feet above sea level
Find out more at: https://brainly.com/question/13911928
720 gallons/day = ______ gallons/hour
Answer:
30
Step-by-step explanation:
just divide 720 by 24 (Hours in a day)
mark as brainliest please.
Please help me someone
Answer:
A
Step-by-step explanation:
PV(1+i)^n
2000(1+.015)^x
2000(1.015)^x
A
A group of 4 friends shares 2 packs of gum equally. There are 8 pieces of gum in
each pack. Which set of equations shows how many pieces of gum, g, each
friend receives?
may be the answer is :4g-2=8 ^-^
but donot depend in this answer it's not sure okay
Write an expression showing 5 less than the number
Answer:
5 < x (number)
Step-by-step explanation:
Explain your answer !
( WILL GIVE BRAINLST)
Answer:
Its A
Step-by-step explanation:
Solve for x. What is the value of
Pls help me
Answer
x = 21
HOS = 68
Explanation
The arrows beside x point to 12 and 6, which is a straight angle. Straight angles always add up to 180 degrees.
So that means 3x+5 plus 5x+7 must equal 180 degrees.
3x+5+5x+7 = 180
Combine like terms.
8x+12 = 180
Subtract 12 from both sides.
8x = 168
x = 21
But BE CAREFUL.
The problem is asking for the angle HOS.
To do this, just substitute what you got for x into the expression.
3(21)+5 = 68
The value of HOS is 68 degrees.
1. VOCABULARY Copy and complete: 'Two polygons are similar if
corresponding angles are ? and corresponding side lengths are ?.
Answer:
?????????????????/?
Step-by-step explanation:
The values in the table represent a linear function. How does the value of y
change in relation to a change in the value of x? The value is negative four
X Y
9 4
3 0
-3 -4
-9 -8
Answer:
The table shows that:
The value of y decreases when the value of x decreases or vice versa, the value of y increases as x increases.Therefore the line has a positive slope
Help me ...................
Sophie found the volume of the figure below by using the steps shown.
A rectangular prism with a length of 28 millimeters, width of 21 millimeters, and height of 4 millimeters. A rectangular pyramid with a base of 28 millimeters by 21 millimeters and height of 26 millimeters.
Total Volume = B h + one-third B h = 4 (21) (28) + one-third (21) (28) (30) = 2,352 + 5,880 = 8,232 cubic millimeters.
What mistake, if any, did Sophie make?
Sophie determined the volume correctly.
Sophie used the wrong formula for the total volume.
Sophie used the wrong height for the pyramid.
Sophie did not apply the order of operatio
Answer:
(C) Sophie used the wrong height for the pyramid.
Step-by-step explanation:
she should have subtracted 4 from 30 because that was apart of the prism
The total volume is 7448 cubic millimeters. Sophie has made mistake in copying height of pyramid.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Given that, a rectangular prism with a length of 28 millimeters, width of 21 millimeters, and height of 4 millimeters.
Volume of rectangular prism = Length×Width×Height
= 28×21×4
= 2352 cubic millimeters
A rectangular pyramid with a base of 28 millimeters by 21 millimeters and height of 26 millimeters.
Volume of a rectangular pyramid = (lwh)/3
= (28×21×26)/3
= 15288/3
= 5096 cubic millimeters
Total volume = 2352+5096
= 7448 cubic millimeters
Hence, Sophie has made mistake in copying height of pyramid.
To learn more about the volume visit:
https://brainly.com/question/13338592.
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