Answer:
Average rate of change in dollars per year between years 15 to 20 is:
$5300 per year.
Step-by-step explanation:
Given that:
Initial Investment, P = $5000
Formula:
[tex]A(t) = P(1.06)t[/tex]
To find: If James invests $5000,
average rate of change in dollars per year (rounded to the nearest dollar) between years 15 and 20=?
Solution:
First of all, let us find out A(15) and A(20):
Putting t = 15 first,
[tex]A(15) = 5000(1.06)\times 15 ....... (1)[/tex]
Putting t = 20,
[tex]A(20) = 5000(1.06)\times 20 ....... (2)[/tex]
Average rate of change / year is defined as:
[tex]\dfrac{\text{Change in value of A}}{\text{Number of years}}[/tex]
So, required rate of change:
[tex]\dfrac{A(20)-A(15)}{5}\\\Rightarrow \dfrac{5000 \times 1.06 \times 20-5000 \times 1.06 \times 15}{5}\\\Rightarrow \dfrac{5000 \times 1.06 \times (20-15)}{5}\\\Rightarrow \dfrac{5000 \times 1.06 \times 5}{5}\\\Rightarrow 5000 \times 1.06\\\Rightarrow \$5300\ per \ year[/tex]
So, the answer is:
Average rate of change in dollars per year between years 15 to 20 is:
$5300 per year.
Can someone help me with this question please?
Answer:
In the Business class section not flying for first time is 13
Business class and flying first time is 7
Not in Business class and flying first time is 49
98 that are not first time or business class
Probability is 20/167. I hope this is right and helps!
You are planning a trip to Disney World and you want to get through these five rides the first day: Space Mountain, Tower of Terror, Rock 'n' Roller Coaster, Mission Space, and Dinosaur. How many different routes are possible?
Answer:
i think maybe 5 routs or 7
Step-by-step explanation:
there are diffrent ways to get to rides
There are total 120 possible routes available.
What is combination?A combination is a mathematical technique that determines the number of possible arrangements in a collection of items, where the order of the selection does not matter.
Given that, You are planning a trip to Disney World and you want to get through these five rides the first day: Space Mountain, Tower of Terror, Rock 'n' Roller Coaster, Mission Space, and Dinosaur.
Since, there are 5 five ride, so possible rides = 5!
= 5x4x3x2x1
= 120
Hence, There are total 120 possible routes available.
For more references on combinations, click;
https://brainly.com/question/19692242
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at the end of the football season
Answer:
WHAT?
Step-by-step explanation:
VGTFTUNJMKL
Answer:
Fat monkey
Step-by-step explanation:
What ?
I need to know the volume of this droplet in cubic meters!
Answer:
There are 100³ = 1000000 cubic cm in one cubic meter so the answer is 0.1 / 1000000 = 1 / 10000000 = 0.0000001 cubic meters.
Consider this function. f(x) = x + 4 Which graph represents the inverse of function f?
A.) W
B.) X
C.) Y
D.) Z
Answer:
C
Step-by-step explanation:
just took the unit test
Graph Y represents the inverse of function f.
What is the inverse of a function?In mathematics, the inverse function of a feature f is a function that undoes the operation of f.
How do you find an inverse of a function?To find the inverse of a function, write the function y as a function of x i.e. y = f(x) after which solve for x as a function of y.
Learn more about the inverse of a function here brainly.com/question/24992590
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How much of a radioactive kind of francium will be left after 10 minutes if the half-life is 5 minutes and you start with 96 grams?
Answer:
24
Step-by-step explanation:
96/2=48/2=24
study the diagram of circle K where JL and LM are tangent to circle K at points J and M respectively. Also JL=3x+10 and ML =7x-6
Answer:
22
Step-by-step explanation:
The answer is 22. You solve the equation 3x+10=7x-6 like so
3x+10=7x-6
-3 = -3
10= 4x-6
+6 +6
16=4x
x=4
You then plug in the value of x to the equation for LM.
7x-6 becomes 7*4-6 which is 22.
Four times the difference of 17 and a number is 84.
Which equation below can be used to find the unknown number?
A) 4(17)- n = 84
B) 4 - 17n = 84
C) 17 - 4n = 84
D) 4 (17- n) = 84
Answer:
D)
Step-by-step explanation:
a number: n
difference of 17 and a number: 17 - n
4 times the difference of 17 and a number: 4(17 - n)
4 times the difference of 17 and a number is 84: 4(17 - n) = 84
WILL MAKE BRAINLYEST PLEASE SOME ONE ANSWER MY QUESTION PLEASETo write the best estimate for the following product in scientific notation, what should be the power of ten?
Answer:
2.9403x10^15
Step-by-step explanation:
plsss mark as brainliestt :)
Answer:
2.9403x10^15
Explain:
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Consider the expression. (StartFraction 2 m Superscript negative 1 baseline n Superscript 5 Baseline Over 3 m Superscript 0 Baseline n Superscript 4 Baseline EndFraction) squared What is the value of the expression if m = –5 and n = 3? Negative StartFraction 24 Over 25 EndFraction Negative StartFraction 4 Over 25 EndFraction StartFraction 4 Over 25 EndFraction StartFraction 24 Over 25 EndFraction
Answer:
The correct option is option (3) 4 ÷ 25.
Step-by-step explanation:
The expression in terms of m and n is:
[tex]F(m,n)=[\frac{2m^{-1}n^{5}}{3m^{0}n^{4}}]^{2}[/tex]
Exponent rule of division:
[tex]a^{x}\div a^{y}=a^{x-y}[/tex]
Compute the value of the expression for m = -5 and n = 3 as follows:
[tex]F(m,n)=[\frac{2m^{-1}n^{5}}{3m^{0}n^{4}}]^{2}[/tex]
[tex]F(-5,3)=[\frac{2\csdot (-5)^{-1}\cdot (3)^{5}}{3\cdot (-5)^{0}\cdot (3)^{4}}]^{2}[/tex]
[tex]=\{\frac{2}{3}\times [(-5)^{-1-0}\times (3)^{5-4}}]\}^{2}\\\\=\{\frac{2}{3}\times \frac{-1}{5}\times 3\}^{2}\\\\=\{-\frac{2}{5}\}^{2}\\\\=\frac{4}{25}[/tex]
Thus, the correct option is option (3) 4 ÷ 25.
Answer:
4/25
Step-by-step explanation:
I just did the test
Write the set { 1, 3, 7, 15, 31, 63 } in set builder form
Answer:
{ x : x = 2^n -1 , n ∈ N}
Where N is the set of natural numbers
Step-by-step explanation:
Mathematically, we can rewrite each term in the set as follows;
1 = 2^1 - 1
3 = 2^2 -1
7 = 2^3 -1
15 = 2^4-1
31 = 2^5-1
63 = 2^6 -1
so we can conclude that the nth term is 2^n -1
So writing this in set builder notation, we have;
{ x : x = 2^n -1 , n ∈ N}
Where N is the set of natural numbers
Ramani has 3 times as many two -rupee coins as she has five- rupee coins . If she has in all a sum of Rs.77 , then how many coins of each denomination does she have ?
Answer:
21- two rupee coins
7- five rupee coins
Step-by-step explanation:
3x(2)=5x
6x=5x
6x+5x=77
11x=77
x= 7
thus 3x(2)means she has 21-2 rupee coins and 7-5rupee coins.
P(8,4) is one endpoint of PQ. M(3, 1) is the midpoint of PQ. Determine the coordinates of endpoint Q.
(3 marks)
please write all the steps, summer school is rlly bad I need help.
Answer:
(-2, -2)
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
Simply plug in our known variables and set equation equal:
3 = (8 + x)/2
6 = 8 + x
x = -2
1 = (4 + y)/2
2 = 4 + y
y = -2
1 Dentro de seis años tendré el doble de la edad que tenía hace cuatro años. ¿Qué edad tendré dentro de nueve años?
Answer:
23 años
Step-by-step explanation:
Para resolver la situación, consideremos que x es la edad de la persona. Sabemos que dentro de seis años esta tendrá el doble de la edad que tenía hace cuatro años. La edad dentro de 6 años se puede expresar como x+6 y esto será igual al doble de la edad que tenía hace cuatro años, lo que se puede expresar como 2(x-4). De acuerdo a esto:
x+6=2(x-4)
x+6=2x-8
6+8=2x-x
x=14
Ahora que sabemos que la edad de la persona es 14 años, le sumamos 9 y esto da como resultado 23 y esta es la edad que la persona tendrá en 9 años.
3/5 times by 210 equals
Answer:
it equals 315
Step-by-step explanation:
Graph the solution to this inequality on the number line.
0.3(x − 4) > -0.3
Answer:
Please refer to the attached image in the answer area.
Step-by-step explanation:
The given inequality is:
[tex]0.3(x -4) > -0.3[/tex]
To find:
The graph of inequality on the number line.
Solution:
First of all, let us simplify the inequality.
[tex]0.3(x -4) > -0.3[/tex]
Dividing it with 0.3 on the both sides:
[tex]x -4 > -1\\\text{Adding 4 on both sides}\\\Rightarrow x > 3[/tex]
i.e. all the values x > 3 will be our solution. There is no equal sign in the inequality so 3 will not be included in the solution.
Please refer to the attached image for the solution graph of the given inequality.
3 has an empty circle drawn over it which signifies that 3 is not included in the solution set.
Red line shows that all the values greater than 3 are included in the solution.
Write an equation for each translation of y
|x1.
2.5 units left
Answer:
Step-by-step explanation:
the translation of y = |x| 2.5 units to the left is:
y = |x+2.5|
What is the next number in the pattern below? 3, 5, 9, 15, 23, ___ A. 31 B. 33 C. 35 D. 37
Answer:
33. numbers are being increased by a certain number, that number being increased by 2 every time
Step-by-step explanation:
Can some one help me on this 10pts
Answer:
x = 20
Step-by-step explanation:
Since the triangles are congruent then corresponding angles are congruent, that is
∠ A = ∠ D , thus
3x - 10 = 2x + 10 ( subtract 2x from both sides )
x - 10 = 10 ( add 10 to both sides )
x = 20
Karen Gaines invested $12,000 in a money market account with an interest rate of 2.25% compounded semiannually. Six years later, Karen withdrew the full amount to put toward the down payment
on a new house. How much did Karen withdraw from the account?
(Round to the nearest cent as needed.)
Answer:
$13,724
Step-by-step explanation:
From the above question, we are given the following values:
Principal = P = $12,000
Interest = r = 2.25% = 0.0225
Compounded semi annually = n = 2
Time (t) = 6 years
From the question, we understand that we are to find the total (full) Amount Karen withdrew.
The formula to use to calculate the Total Amount of money given that this is a compound interest question is:
Total(full) Amount = P( 1 + r/n) ^n/t
= $12,000( 1 + 0.0225/2) ^2×6
= $12,000(1.01125)^12
= $13724.093289
Approximately to the nearest cent
≈ $13,724
Therefore, Karen withdrew $13,724 from the account.
Karen Gaines invested $14000 in a money market account with an interest rate of 2.75% compounded semiannually. Six years later, Karen withdrew the full amount to put toward the down payment
Round to the nearest cent as needed.)
Identify the range of the function shown in the graph.
A. y is all real numbers.
B. {-2,2}
C. -2 < y < 2
D. Y > 0
Answer:
A. y is all real numbers.
Step-by-step explanation:
The range is the possible values that y can take
In this graph y goes from negative infinity to infinity so y can be all real numbers
The HCF of 59 and 62 is (a) 4 (b) 28 (c) 6 (d) None of the above
Answer:
An object balances itself when a perpendicular line drawn through its Centre of Gravity (CG), passes through its base.
See the picture of a popular toy given below. The horse, the rider and the ball are all joined together as one single unit. This entire unit is balanced on the thin black rod shown. At which of the indicated positions, could the Centre of Gravity (CG) of the horse, rider and ball unit be?
July 10 book Science up55 down8
AA BB
CC DD
Step-by-step explanation:
Answer:
The answer is d. none of the above
Step-by-step explanation:
59= 1,59
62= 1, 2, 31, 62
Common factors= 1
HCF = 1
I hope this helps.
Please help me:((((((( It is real urgent! Please and thank you
Answer:
B. p > 12.80(160) + 8235.
Step-by-step explanation:
Since he wants to make a profit, the price he will need to receive for his crop will have to exceed his costs. So, the equation would use the > sign rather than the >= sign.
He harvests crops for $12.80 per acre, with 160 acres. That would be 12.80(160).
He is spending $8235, which adds to the costs of harvesting.
So, the answer will be B. p > 12.80(160) + 8235.
Hope this helps!
Given the functions, f(x) = x2 + 2 and g(x) = 4x - 1, perform the indicated operation. When applicable, state the domain restriction.
g(f(x))
Answer:
4x2-7
Step-by-step explanation:
4(x2+2)-1=4x2+8-1=4x2=7
The following expression models the total number of pizzas sold in an hour, where x represents the number of discount coupons
offered. 41x/5x+2+12
What does the constant term in the above function represents?
Answer:
A. The constant term 12 represents the number of pizzas sold in an hour if 0 discount coupons are offered.
Step-by-step explanation:
Below is the complete question
What does the constant term in the above function represents?
A. The constant term 12 represents the number of pizzas sold in an hour if 0 discount coupons are offered.
B. The constant term 12 represents the maximum number of pizzas sold in an hour.
C. The constant term 12 represents the amount of additional pizzas sold for each additional discount coupon offered.
D. The constant term 12 represents the number of discount coupons offered in an hour.
An interval estimate for the weight of a species of primates is (12, 15) kg. Find the point estimate for the species
of primates.
Answer:
12 + 15= 27/2 = 13.5 kg
Step-by-step explanation:
The altitude of a triangle is 1cm shorter than the base. If the area of the triangle is 15cm2, calculate the altitude.
Answer:
5 cm
Step-by-step explanation:
We khow that the altitude of this triangle is 1cm shorter than the base
Let H be our altitude and B our base and A the area of the triangleA= (B*H)/2 ⇒ 15=(B*H)/2 H is 1cm shorter than B ⇒ B=H+1H*(H+1)/2=15 ⇒ H*(H+1)=30⇒ H²+H=30⇒H²+H-30+0that's a quadratic equation . Let's calculate the dicriminant .
Let Δ be the dicriminant
a=1b=1c= -30 Δ=b²-4*a*c = 1²-4*1*(-30)=1+4*30=121≥0 Δ≥0⇔ that we have two solutions x and y x= (-1-[tex]\sqrt{121}[/tex])/2= (-1-11)/2= -6 y= (-1+[tex]\sqrt{121}[/tex])/2= 10/2 = 5We have a negative value and a positive one
The altitude is a distance so it can't be negative
H= 5cm
One morning, Marcia works from 08 20 to 11 15.
Find how long slie works for.
Give your answer in hours and minutes.
Answer:
2:55. That's Two hours and 55 minutes.
Step-by-step explanation: From 8:20 to 11:20 would be three hours. But the actual time is five minutes less. There are 60 minutes in one hour. So change one hour to 60 minutes and subtract 5 minutes.
2:60 - :05 = 2:55
Answer:
2 hours and 55 minutes
Step-by-step explanation:
Take 11:15 and subtract 8:20
11 : 15
-8:20
------------
We need to borrow from the hours
11 becomes 10 and 1 hour = 60 minutes so add 60 to the 15
10 :75
-8:20
------------
2: 55
This is 2 hours and 55 minutes
Determine the number of solutions for the equation shown below x= x - 9
Answer:
None (0)
Step-by-step explanation:
x = x - 9
-x -x
0 = -9
No solution
please help i will give out brainliest
answer on image attached. pls give brainliest :)