Let's consider the scenario after each year:
After the zeroth year, the population is: 120 000(1 + 0.04)⁰
After the first year, the population is: 120 000(1 + 0.04)¹
After the second year, the population is: 120 000(1 + 0.04)²
...
Thus, we can find the general rule:
After the nth year, the population is: 120 000(1 + 0.04)ⁿ
And after the 16th year, the population is 120 000(1 + 0.04)¹⁶ = 224 758 (rounded to nearest whole number)
David invested $68,000 in an account paying an interest rate of 5.5% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $93,000?
Answer:
5.7
Step-by-step explanation:
I took the bullet and got the question wrong so I shall provide the answer
compute the distance between (9,-5,4) and (-10,3,4)
Answer:
~20.6155
Step-by-step explanation:
To compute distance between two points, we can get the vector from one to the other by subtracting them and then computing the length of the vector.
The length of a vector V is:
[tex]|V| = \sqrt{\sum_{i=1}^n v_i^2}\\[/tex]
The vector is:
(9, -5. 4) - (-10, 3, 4) = (9 + 10, -5 - 3, 4 - 4) = (19, -8, 0)
So the length is:
[tex]\sqrt{19^2 + (-8)^2} = \sqrt{361 + 64} = \sqrt{425} = \sqrt{5\cdot 5\cdot 17} = 5\sqrt{17} \approx 20.6155281281[/tex]
True or false? Please help meee
Tarzan split up $21 equally among 30 winners. What decimal is equivalent to the fraction of a dollar that each winner received? Round to hundredths.
Answer:
21/30 = 7/10 = 0.7
Step-by-step explanation:
spliting up 21 dollars among 30 winners, is dividing 21 by 30. When you do this you can simplify it to 21/30 = 7/10. 7/10 is equal to 0.7.
Answer:
$0.7
Step-by-step explanation:
As you may know, instead of saying divide. You can say split. So $21 split between 30 people would be $0.7 or 70 cents.
find the solution of the system of linear equations below
y = 5x +1
–5x + y = 1
Answer:
Infinite number of solutions.
Step-by-step explanation:
Y=5x+1
-5x+Y=1
substitute value of y in first equation (5x+1) into 2nd equation
-5x+5x+1=1
0+1=1
1=1
since answer equals on both sides of the equatio, the answer is determined to be infinite.
write an equation for the number 40 is 5 times as many as 8 PLEASE HURRY????
Answer:
40=5×8
Step-by-step explanation:
I think, hope this helps
The equation for the number 40 is 5 times as many as 8 is; 40=5×8
What does it mean to solve an equation?An equation represents equality of two or more mathematical expression.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
Solutions to an equation are those values of the variables involved in that equation for which the equation is true.
We are given that the number 40 is 5 times as many as 8
40 is 5 times as many as 8 means
5×8 = 40
Then the equation will be;
40=5×8
Learn more about solving equations here:
https://brainly.com/question/18015090
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find the height of the cliff.
find the value of x and y
Answer:
It's hard to make out which is x and y, if x is lower right and y is at the top, then:
x = 55°
y = 70°
Step-by-step explanation:
x = 55° because it is an isosceles triangle
y = 180° - 55° - 55° = 70°
Use point slope form to write the equation of a line slope intercept form that passes through the points 0,-5 and -3,4
Answer:
y + 5 = -3(x - 0)
Step-by-step explanation:
First, you find the slope. To do that, you subtract the second y point (in this case 4) by the first y point (in this case -5), and you get 9. Then, you subtract the second x point (in this case -3) by the first x point (in this case 0), and you get -3. Y is over X, so you get 9/-3 or 9 over -3, which can simplify to -3.
Next, you use the point slope formula: y - y1 = m(x - x1). Add in the y1, m, and x1, then solve if it asks you to put it in slope intercept form. So, for this case, it would be y + 5 = -3(x - 0)
Yay!!!! :D
PLZ HELP I NEED TO TURN THIS IN TODAY
Answer:
The top one
Step-by-step explanation:
Just count how many are in each catagory
Answer:
The First One
Step-by-step explanation:
Don't Ask How Long It Took
Suppose a cone and a cylinder both have congruent circular bases and congruent heights. How may times larger is the cylinder than the cone?
Answer:
Naruto, the cylinder's volume is 3 times that of the cone.
Step-by-step explanation:
Cone volume = (1/3)πr2h
Cylinder volume = πr2h
So, the cylinder's volume is 3 times that of the cone.
Help please I do not get it
Um so my was asking me a question and wants me to explain it to her. She said this and I don't know what she said next. Could you "fill in the blank". Thanks!
"when you are dealing with absolute values got to be really careful about what your final step looks like.
So when you isolate your absolute value bars, if you have the absolute value of something we know this can be positive is greater than a negative number your golden cuz a positive number is always going to be greater than a negative number. But if you end up with an absolute value of something and it's less than a negative number that's never going to be true because _______________
"
Absolute value is the distance from zero, it doesnt matter if its -58 or 58 its absolute value is always going to be positive, so if you have a negative just get rid of that negative sign. Absolute value makes it all positive -492= 492 in absolute value.
f(1) = -3
f(n) = 2. f(n − 1) +1
f(2)=
f ( 2 ) = 2 × f ( 2 - 1 ) + 1
f ( 2 ) = 2 × f ( 1 ) + 1
f ( 2 ) = 2 × ( - 3 ) + 1
f ( 2 ) = - 6 + 1
f ( 2 ) = - 5
A VERTICAL line passes through the point (4, 5). Find an equation for this line.
A)
X = 4
B)
y = 5
C)
y = 4
D)
y = 4x + 5
Answer:
A
Step-by-step explanation:
The equation of a vertical line parallel to the y- axis is
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (4, 5 ) with x- coordinate 4 , then
x = 4 ← equation of vertical line → A
I WILL GIVE BRAINLIEST. PLEASE HELP RIGHT NOW
Answer: Function A= (0,8)
Function B= (0,2)
{(-4,12),(0,-1),(4,0),(x,y)} =6(4.0),(x,y)
I didn’t do the last one I’m sorry
Step-by-step explanation:
Given the function f(x) = 3x - 3, explain how to find the average rate of change between x = 0 and x = 5.
Answer:
3Step-by-step explanation:
Find f(0):
f(0) = 3*0 - 3 = - 3Find f(5):
f(5) = 3*5 - 3 = 12Average rate of change:
(12 - (-3))/(5 - 0) = 15/5 = 3simplify.
#1.
9^2-1
___________
4+6^2-10
#2.
10(19-4^2)
_______________
7+3^2-1
Step-by-step explanation:
#1
9^2-1
(9×9)-1
81-1
80
#2
10(19-4^2)
10(19-16)
10(3)
30
Answer:
1. 80
2. 30
3. 15
Step-by-step explanation:
1. 9^2=81 ...81-1=80
2. 4^2= 16 so..10(19-16)-> 10(3)= 30
3. 3^2= 9 so... 7+9-1-> 7+9=16 16-1=15
1. Combine Like Terms: 1 + 5v + v
Answer:
1+6v
Step-by-step explanation:
1+5v+v
1+6v add the 5v and v
Identify the percent of change as an increase or a decrease. Then find the percent of change. Round to the nearest tenth of a percent, if necessary: 120 pounds to 180 pounds
Answer:
50%
Step-by-step explanation:
We need to find the percent change from 120 pounds to 180 pounds. We can find it as follows :
[tex]\%=\dfrac{180-120}{120}\times 100\\\\=\dfrac{60}{120}\times 100\\\\=50\%[/tex]
So, the percent change is equal to 50%.
What is the measure of x and what is the reasoning you used
Answer:
x = 108 because of supplementary angles
Step-by-step explanation:
Solving for x:
Since x and 72 are supplemenatry angles, they'll equal to 180, so:
x + 72 = 180
x = 180 - 72
x = 108
BIG BIG POINTS!!!!!! PLEASE HELP ASAP I'M BEING TIMED!!!!!!!!!!!!!!!!!!!!!! Will mark BRAINLIEST!!!!!!!!!!!! HELP ME PLEASEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?
A) Use the distance formula to find the length of each side, and then add the lengths.
B) Use the slope formula to find the slope of each side, and then determine if the opposite sides are parallel.
C) Use the slope formula to find the slope of each side, and then determine if the consecutive sides are perpendicular.
D) Use the distance formula to find the length of the sides, and then multiply two of the side lengths.
A) Use the distance formula to find the length of each side, and then add the lengths.
Which table does not represent a relationship that is directly proportional? Btw i clicked a by accident
Answer:
The selected option
Step-by-step explanation:
Coincidentally, you answered correctly.
From the values of 3 and five, we can assume that the function of the table is Y=x+2.
But if we move to the next value pairs, that function is false.
10=6+2 that isn't correct.
If you apply this to all the pairs in the table you will find that there is not a function that represents the values given. Therefore, the first option is correct.
Given the quadratic sequence: 2;3; 10 ; 23 ;...
2.1.1 Write down the next term of the sequence.
2.1.2 Determine the n'h term of the sequence.
2.1.3
Calculate the 20th term of the sequence.
Given the arithmetic sequence: 35; 28; 21 ;...
Calculate which term of the sequence will have a value of -140.
Step-by-step explanation:
2.1.1 ) next term is 42
2.1.2)3n^2 - 8n + 7
2.1.3)1047
the 26th term is = -140
PLEASE HELP!!!
which inequality is shown on the graph below
Answer:
do it yourself
Step-by-step explanation:
i ain't your slave
hi, find the real zeros. if there are none, just say none.
Answer:
None
Step-by-step explanation:
Answer:
none
Step-by-step explanation:
cause there isnt any zero
2. What is the measure of angle AOE and angle EOD?
X+138
x + 48
Answer:
AOE = 138, EOD = 48
Step-by-step explanation:
Since AD is the diameter of the circle and goes through the middle
angle AOE + angle EOD = 180
Solving the equation (x + 138) + ( x+ 48) = 180
We get x = 0.
if 3x-4y+7=0 and 2y-x^2=0 for x is greater or equal to 0 then x=
(a)1.27
(b)2.07
(c)2.77
(d)4.15
(e)5.53
The area of a rectangle is 12x^2 - 8x - 15. The width is (2x - 3). What is the length of the
rectangle?
Answer:
6x+5 us the length of the rectangle
Step-by-step explanation:
If A = 12x² - 8x - 15 and w = 2x - 3, then..
l = (12x² - 8x - 15)/(2x - 3)
= (2x - 3)(6x + 5)/(2x - 3)
= 6x + 5 cm
4x-7+8x-3-19x
Help me out please I need an answer !!
Answer:
Answer is -7x - 10
Step-by-step explanation:
First you would want to subtract the numbers here it is
4x -7 + 8x -3 - 19x
4x - 10 + 8x - 19x
Then you would want to combine the terms
and the answer is
17x - 10