Answer:
P(19)=$19,852
To the nearest dollar.
Step-by-step explanation:
Exponential Growth
The natural growth of some magnitudes can be modeled by the equation:
[tex]P(t)=P_o(1+r)^t[/tex]
Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.
We are given the condition that an investment of Po=$6,000 in an account doubles every 11 years. The final value of the investment in t=11 is P(11)=$12,000.
Substituting into the general equation:
[tex]12,000=6,000(1+r)^{11}[/tex]
Dividing by 6,000 and swapping sides:
[tex](1+r)^{11}=2[/tex]
Taking the 11th root:
[tex]1+r=\sqrt[11]{2}[/tex]
[tex]1+r=1.065[/tex]
Substituting into the formula:
[tex]P(t)=6,000(1.065)^t[/tex]
Now we need to find the money in the account after t=19 years:
[tex]P(19)=$6,000(1.065)^{19}[/tex]
P(19)=$19,852
To the nearest dollar.
What is the cosine of 90 degrees?
Answer:
The answer is 0.
10
50 10
Why are the solutions to the proportions X - 20
and 50
20
the same?
X
because both result in the equation 20x=500, which simplifies to x = 25
because both result in the equation 20x = 500, which simplifies to X = 250
because both result in the equation 10x = 1,000, which simplifies to x = 10
obecause both result in the equation 10x = 1,000, which simplifies to x= 100
Simplify the expression.
(x4y2)1/2
A) 2(x4y2)
B) x1/8y1/4
C) x2y
D) x8y4
Answer:
C)
when you distrbe you get x^2 y
(-2x)^4 Simpify the number
Answer:
d
Step-by-step explanation:
i like ya cut g
What is the slope of the line that passes through the points (10,11) and (-6,3)?
Answer: m = ½
.............................
find the derivate of : y = ln(x)/5x
y'=
AM = 5x - 2 and MB = 2x + 19, Find the length of AB
Answer:
The answer would be: -0.01
Step-by-step explanation:
1) State what is given
AM = 5x -2 and MB = 2x +19
2) Make an equation that can satisfy the problem
AM + BM = AB
This is the equation, because if I am to put this on a line,
A M B
-_____________-_____________-
You can see that is you combine the lengths AM and BM you can find the total length of AB.
A M + M B
-_____________- + -_____________-
(M point is actually one point, but I am trying to show that if the line were to be cut in half, then put back together you get you full length, which is AB)
3) Substitute
(5x - 2) + (2x + 19) = AB
4) Now Solve!
5x - 2 + 2x + 19 = AB
(Rearrange to combine like terms)
5x + 2x + 19 - 2 = AB
7x + 17 = AB
(That is your equation to find AB! But they want the specific length)
So...
We solve it!
7x = -17
(By moving the 17 to the other side of the = sign, it becomes negative)
7x = -17
7 7
(Dividing both sides by 7 in order to get x alone)
x = -2.43
(I rounded to the hundredths place)
Now substitute that into x into you original equation)
5(-2.43) - 2 + 2(-2.43) + 19 = AB
-12.15 - 2 - 4.86 + 19 = AB
-14.15 - 4.86 + 19
-19.01 + 19 = -0.01
= -0.01
(I believe this would be the answer, but it doesn't seem to fit right, so please understand, that if this is wrong, I AM SO SORRY ;-;)
(I tried my best on this problem, but I bet it isn't the answer, so if I get this wrong tell me so that I can remove it! :)
Simplify the expression.
3p – 49 + 9 = 8p
Answer:
p=-5
Step-by-step explanation:
3p-49+9 -49+9=-40
3p-40=8p 3p-3p=0 8p-3p=5p
-40=5p p=5
Could someone help me with number 17.
Answer:
y=-7
Step-by-step explanation:
if g(x) is g(-2) that means that x=-2 so we plug that in so 5*-2+3
5*-2+ -10
-10+3+ -7
so y=-7
HURRY !!!Below are two tables that represent a class of students. 2 tables. Table 1 is a 2-column table with 3 rows. Column 1 has entries boys, girls, total. Column 2 has entries 19, 16, 35. Table 2 is a 2-column table with 3 rows. Column 1 has entries summer birthdays, other birthdays, total. Column 2 has entries 11, 24, 35. Based on these tables, what can you determine about the students in this class? Check all that apply. There are 35 students in the class. 11 of the students are boys who have summer birthdays. 19 of the students are boys. There is not enough information shown to determine how many girls have summer birthdays.
Answer:
the answer is 1 3 and 4
hope i helped
Answer:
A C D
Step-by-step explanation:
7th grade math help me pleasee
Answer:
death valley<tallahassee | Death valley<westmooreland
Step-by-step explanation:
sorry if this is wrong i dont understand
Answer:
death valley<talahasse.
the negative value of death valley is less than talahasse.
Step-by-step explanation:
a negative number is way lower than a positive number.
The line segment XY is shown in the picture. Which transformation of line segment XY will produce a line segment X'Y' that is parallel to line segment XY?
A
Reflection over the y-axis.
B
Rotation of 90 degrees about point X.
C
Translation up 7 units.
D
Rotation of 180 degrees about point X.
Answer: C
Step-by-step explanation:
peggy is p years old maggie is 1 year less than 1/4 of peggys age what is maggies age in terms of p
Answer:
1/2m+100
Step-by-step explanation:
TO
Which graph represents the function f(x) = -1x1 – 2?
Answer:
Step-by-step explanation:
What is the size of a terabyte?
a machine in a factory makes 20 gadgets every 1/4 hour. How many gadgets are made every hour?
Answer:
80 machines
Step-by-step explanation:
If a machine makes 20 gadgets every fourth (1/4) of an hour, it makes 80 machines every hour (20*4).
80 machines gadgets are made every hour.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
Here, given that,
A factory makes 20 gadgets every 1/4 hour.
So, in an hour made = 20÷1/4 machines
=20×4
=80
i.e. If a machine makes 20 gadgets every fourth (1/4) of an hour,
it makes 80 machines every hour (20*4).
Hence, 80 machines gadgets are made every hour.
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ2
Please I need help hurry!
Answer:
Step-by-step explanation:
Team B=2.2*4.8= 10.56
Team C : 10.56 *1.5=15.84
Order these numbers from least to greatest.
12/11
1.23
Square root of three
1
Answer:
1, 12/11, 1.23, square root of 3
Step-by-step explanation:
Please will give brainliest and thanks
Answer:
Step 3
Step-by-step explanation:
Find the value of x in the attached shape
Answer:
x = 110
Step-by-step explanation:
This shape is a heptagon. A heptagon's interior angles add up to 900 degrees. You can solve for x by finding the sum of all known values, and subtracting that sum from 900.
105 + 150 + 140 + 135 + 125 + 135 = 790
900 - 790 = 110
Answer:
it's the haptagon so it's sum of all sides is equall to900 degree
so first add the side accept x and subtract it with 900 degree
the answer will be 110 degre
hope it helps u
find all missing angles in the diagram below
please help ‼️
Nadya’s cell phone provider charges a monthly fee of $35 for usage up to 200 minutes. If she uses more than this in a month, she is charged $0.23 for each additional minute. Let c represent the cost of Nadya’s bill if she uses m minutes of air time. Write an expression that can be used to find c if she used more than 200 minutes last month.
Answer:
c = $35 + $0.23m
Step-by-step explanation:
The expression is c = $35 + $0.23m
c is the cost of nadya's bill
m is the additional minutes
so if she uses more than 200 minutes the cost of her bill wiil be
$35 plus $0.23 multiply by the number of extra minutes spent.
help help help help help help
Answer:
no, its an acute triangle
Step-by-step explanation:
Answer:
This is not a right triangle
Step-by-step explanation:
The reason as to why this is a right triangle is because I used the equation a2 + b2 = c2. * = 2
24* + 42*= 2340
26*= 676
2340 is not the same as 676
Therefore the triangle is not a right triangle
What is the expanded form of 894?
Answer:
Hope this helps! <3
( Pic Below )
Answer:
800+90+4
Step-by-step explanation:
800+90=890 and 890+4=894
HOPE THIS HELPS
i really need help fast!!
Answer:
16, 5, 28
Step-by-step explanation:
1 liter is equal to 4 servings
Using the diagram, determine whether the angles are vertical angles, a linear pair, or neither. (Image is included)
Answer:
1.linear pair
2. neither
3. vertical
4. neither
5. vertical
6. neither
7. linear pair
8. neither
Step-by-step explanation:
the answers are starting from up to down, not side to side
We have the definitions of the Adjacent angles, linear angles, vertical angles.
Two angles are considered to be adjacent angles when they share a common vertex, a common side, but no common interior pointsWhen two lines intersect each other at a single point, linear pair of angles are formed. If the angles so formed are adjacent to each other after the intersection of the two lines, the angles are said to be linear.Two angles are said to be vertical angles when their sides form two pairs of opposite rays (straight lines).So, from the figure we see that
<1 and <2 are linear pair <2 and <4 are neither <6 and <8 are vertical <11 and <1 are neither<1 and <3 are vertical <4 and <5 are neither <8 and <9 are linear pair <10 and <7 are neitherLearn more:https://brainly.com/question/3182415
Solve the following equation and determine if it has one solution, no solution, or infinitely many solutions: 3x+1−3(x−1)=4
Answer:
1/3 , only one solution
Step-by-step explanation:
3x-1 = 1-3x
3x-1 = -3x+1
6x-1 = 1
6x = 2
x = 1/3
Answer:
Infinitely many solutions.
Step-by-step explanation:
[tex]3x+1-3(x-1)=4\\\\3x+1-1-3(x-1)=4-1\\\\3x-3(x-1)=3\\\\3x-3x-3=3\\\\\boxed{3=3}[/tex]
Hope this helps.
Find the distance between the points (-4,0) and (2,1). If necessary,round to the nearest 10th.
Answer:
square root of 37
Step-by-step explanation:
you would use the formula (X2-X1) squared + (Y2-Y1) squared
One analog clock loses 3 minutes every 2 hours and another analog clock gains 3 minutes every 4 hours. At noon, the owner sets the correct time on both clocks and leaves on a business trip. When he returns home in less than two weeks, the clocks show the same time. What time do the clocks show? PLEASE HELP ASAP
Answer:
12 noon
Step-by-step explanation:
Clock 1 loses 3 minutes every 2 hours. Now, 2 hours = 120 minutes.
This means, it has speed of 120 - 3 = 117 minutes for every 2 hours.
Thus, in 1 hours, it's speed = 117/2 = 58.5 min/hr
Clock 2 gains 3 minutes every 4 hours
Which means in an hour, it gains ; 4/3 minutes
Thus, it's speed an hour is; 60 + 4/3 = 61.333 min/hr
Now, When he returns home in less than two weeks, the clocks show the same time.
let's say the number of hours he was away is x. For the 2 clocks to show the same time, it means they have to show it by 12 noon at another day since it was at noon that he set the correct times before leaving.
Thus, they will both be showing 12 noon.
Which is a better deal?
4 bags of chins for $1.00 or 6 bags of chips for $1.20?
Answer:
6 bags of chips for 1.20
