Answer:
FV= $2,571.41
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $1,500
Interest rate (i)= 0.045/12= 0.00375
Number of periods (n)= 12*12= 144 months
To calculate the future value, we need to use the following formula:
FV= PV*(1 + i)^n
FV= 1,500*(1.00375^144)
FV= $2,571.41
Enter the exponential function using t (for time) as the independent variable to model the situation. Then find the value of the function after the given amount of time. A new savings account is opened with $200 and gains 3.1% yearly for 8 years. The exponential function that models the situation is . After 8 years, the savings account has $ . , , , and .
Answer:
[tex](a)\ f(8) = 200(1 + 3.1\%)^8[/tex]
(b) After 8 years, the savings account has $255.32
Step-by-step explanation:
Given
[tex]a = 200[/tex] ---- initial (i.e. when t = 0)
[tex]r =3.1\%[/tex]
[tex]t = 8[/tex]
Solving (a): Model the situation
For growth, an exponential function is represented as:
[tex]f(t) = a(1 + r)^t[/tex]
This gives:
[tex]f(8) = 200(1 + 3.1\%)^8[/tex]
Solving (b): The solution to (a)
We have:
[tex]f(8) = 200(1 + 3.1\%)^8[/tex]
Express percentage as decimal
[tex]f(8) = 200(1 + 0.031)^8[/tex]
[tex]f(8) = 200(1.031)^8[/tex]
[tex]f(8) = 200*1.2766[/tex]
[tex]f(8) = 255.32[/tex]
Drag tiles to fill in the blanks to complete the expression that could be used to predict the number of winners of a game. Tiles may be used once or not at all.
A)Total Number of Possible Outcomes B)Number of Winners
C)Number of Unfavorable Outcomes D)Number of Games
P(event) =
Number of Favorable Outcomes
_________________________
?????????????????????????????
=
?????????????????????????????
_________________________
11 Total Number of Contestants
(Pick two answers)
Answer:
First blank - A)Total Number of Possible Outcomes
Second blank - B)Number of Winners
Step-by-step explanation:
The exact question is as follows :
We know that,
Probability of an event is equals to Total number of Favorable outcomes divided by Total number of outcomes
So,
P(event) = Number of favorable outcomes ÷ Total Number of Possible Outcomes
As we have to predict the Number of winners of a game
So,
P(Number of winner) = Number of winners ÷ Total number of Contestants
∴ we get
P(event) = Number of favorable outcomes ÷ Total Number of Possible Outcomes
= Number of winners ÷ Total number of Contestants
Please help!
A car salesman sells 1 car on his first day, 2 cars on his second day, 4 cars on his third day, and so on, so that every day after the first, he sells twice as many cars as the day before. How many days does it take him to sell a total of at least 1000 cars?
Answer:
10
Step-by-step explanation:
every day he doubles the number of sold cars compared to the previous day.
so the sequence goes along the powers of 2 :
1
2
4
8
16
32
64
128
256
512
1024 - so, latest here, of course, at least 1000 cars were sold. that would be day 11.
but - maybe we reached the total of 1000 cars already before that.
as you can see, the number of cars sold on a day is 1 bigger than the sum of cars sold on all previous days.
e.g. 8 = 4 + 2 + 1 + 1
64 ÷ 32 + 16 + 8 + 4 + 2 + 1. + 1
therefore, 1024 is bigger by 1 than the sum of the cars Sikhs before that day. so, that sum is 1023 and bigger than 1000.
so, with the 512 cars sold on day 10 he reached and surpassed the total 1000 sold cars mark.
It takes 11 days for the salesman to sell at least 1000 cars.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
We can set up an inequality to represent the total number of cars sold after n days using a geometric series, where "a" is the initial number of cars sold, "r" is the common ratio of the series, and "n" is the number of days.
The inequality is : a(1-rⁿ)/(1-r) ≥ 1000
In this case, the initial number of cars sold is 1, the common ratio is 2, and we're trying to find the number of days it takes to sell at least 1000 cars. So we can plug these values into the inequality:
1(1-2ⁿ) ≥ 1000
1-2ⁿ ≥ 1000
2ⁿ ≤ 999
Now we can take the log base 2 of both sides
n ≤ log₂(999) +1
n ≤ 9.97+1
n ≤ 11
As the number of days is an integer, it takes 11 days for the salesman to sell at least 1000 cars.
Learn more about inequalities here:
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PLEASE HELPPP, ITS DUE IN 1 HOUR!! I WILL GIVE BRAINLIEST!! LINKS=REPORT
PLEASE SOLVE FOR THE CHART AND GRAPH. PLEASE SHOW ON GRAPH
Answer:
3=6
4=8
5=10
6=12
graph 1
Step-by-step explanation:
Given: f (x) = 3x^2 + 2x – 1
Find: f (-2)
What is the circumference of this circle
R=2km
Answer:
12.57
Step-by-step explanation:
The formula is
2 (pie) r
2(pie)2
which would equal 12.57
Toni participates in a 10-mile charity walk. For each mile she walks, a sponsor will donate $9 to the charity. The graph
represents the function that models the amount of money the sponsor will donate given the number of miles, x, Toni
walks.
Answer:9 times 10 equal 90 $
Step-by-step explanation:
someone please helppp, i have 2 days to do 28 assignments plus a final exam
NO LINKS OR FILES OR YOU WILL BE REPORTED
9
Step-by-step explanation:
1 = x^2 - 6x
Adding 9 to both sides, we get
1 + 9 = x^2 - 6x + 9
10 = (x - 3)^2
Note that the right hand side is now a perfect square.
Tape diagram
7 a =35
Step-by-step explanation:
7a = 35
a = 35/7 = 5
do you wants to earn money on pàypal???
The quadrilateral shown is rotated 90 degrees clockwise about the origin. In which quadrant is the image of the quadrilateral located? *
Captionless Image
Answer:
Option (2). 1
Step-by-step explanation:
Coordinates of point A, B, C and D are,
A(-4, 4), B(-2, 4), C(-2, 1) and D(-4, 3).
Quadrilateral ABCD when rotated 90° clockwise about the origin,
Rule for the rotation of the vertices,
(x, y) → (y, -x)
Following the rule of rotation coordinates of the image points,
A(-4, 4) → A'(4, 4)
B(-2, 4) → B'(4, 2)
C(-2, 1) → C'(1, 2)
D(-4, 3) → D'(3, 4)
Since all image points have the positive coordinates (x and y coordinates), image quadrilateral A'B'C'D' will be located in 1st quadrant.
Option (2) is the correct option.
that is the answer if it's wrong then it must of been wrong question I gave answer to or I just got it wrong
Rewrite the equation by completing the square. 4x^2-4x+1=0
Answer:
[tex][x+(-1/2)^2]=0[/tex]-------------------
[tex]4x^2-4x+1=0[/tex][tex]4(x^2-x+1)-3=0[/tex][tex]x^2-x+1-3/4=0[/tex][tex]x^2-x+1/4=0[/tex][tex]x^2-2.x.1/2+(1/2)^2=0[/tex][tex](x-1/2^2)=0[/tex][tex]x+(-1/2)^2=0[/tex]---------------------
hope it helps..
have a great day!!
Write an equation if the line that passes through (0,-2) and (2,2)
Answer:
[tex]y=2x-2[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
1) Determine the slope (m)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (0,-2) and (2,2)
[tex]=\frac{2-(-2)}{2-0}\\=\frac{2+2}{2}\\=\frac{4}{2}\\=2[/tex]
Therefore, the slope of the line is 2. Plug this into [tex]y=mx+b[/tex] as m:
[tex]y=2x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=2x+b[/tex]
Plug in one of the given points and solve for b
[tex]2=2(2)+b\\2=4+b[/tex]
Subtract 4 from both sides to isolate b
[tex]2-4=4+b-4\\-2=b[/tex]
Therefore, the y-intercept of the line is -2. Plug this back into [tex]y=2x+b[/tex]
[tex]y=2x-2[/tex]
I hope this helps!
solve the inequality 24<5x-1
Answer:
5 < x
Step-by-step explanation:
24<5x-1
Add 1 to each side
24+1<5x-1+1
25 < 5x
Divide by 5
25/5 < 5x/5
5 < x
Answer:
X>5.
Step-by-step explanation:
First you swap sides, so 5x-1>24. Then simplify to 5x>25, divide 25 by 5 to get 5.
7 marbles are in a bag 2 marbles are red and the rest are black how many marbles in bag are black
Answer:
5 marbles are black.
Step-by-step explanation:
7-2=5
find the area of the shaded region
Answer:
9.82 inches²
Step-by-step explanation:
both areas are equally sized, so they are both half of the whole circle.
circle area : pi × r²
half of the circle area is therefore pi × r² / 2
the picture gives us the diameter of the circle, the radius is half of the diameter.
=> r = 5/2 = 2.5
=> shaded area = pi × r² / 2 = pi × (2.5)² / 2 = 9.82 inches²
a triangle flower bed has one angle of 64 degrees. the other two angles are congruent to one another. what are the measures of the two unknown angles?
Answer:
58 degrees
Step-by-step explanation:
well we know that every angle in a tringle adds up to 180 degrees.
so we know that 64 + angle 1 + angle 2 = 180
180-64=116
and since they are congruent (same value as one another) you just divide 116 by 2 and boom!
116/2=58
both are 58 degrees
A quadratic equation that has x-intercepts of (-2,0) and (8,0), a stretch of 3 and a vertex is a minimum. Find the equation of the parabola
Answer:
c) The standard form of the quadratic equation, y = a·x² + b·x + c
The standard form of the quadratic equation is y = 3·x² - 18·x - 48.
Step-by-step explanation:
According to the graph what is the solution to this system of equations?
O 5.-7)
O €7.5)
O 5.7)
O 7.5)
Answer:
you showed no graph dude
This is the graph btw.
How do you tell if a table is linear
Answer:
If x, y increase at a constant rate, it is linear.
Step-by-step explanation:
4x + 3 + (-3) + 7x - 6x
Answer:
5x
Step-by-step explanation:
Answer:
2x+3 is it simplified
Step-by-step explanation:
PLS HELP ILL MARK AS BRAINLIST AND FOLLOW U
Answer:
No
Step-by-step explanation:
For the calculation for triangle area is wrong
The triangles have a scale of 3: 5. What is the value of a? *
Answer:
Step-by-step explanation:
multiply the ratio by 24/5 and you have
72/5 : 24
or
14.4:24
PLEASE ANSWER!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A passenger and a freight train start toward each other at the same time from
two points 300 miles apart. If the rate of the passenger train exceeds the rate
of the freight train by 15 miles per hour, and they meet after 4 hours, what
must the rate of each be?
The rate of the passenger train must be 45 miles per hour, and the rate of the freight train must be 30 miles per hour.
Let's denote the rate of the passenger train as "P" and the rate of the freight train as "F". We are given that the passenger train's rate exceeds the freight train's rate by 15 miles per hour. Therefore, we can write the following equation:
P = F + 15
We are also given that the two trains start from points that are 300 miles apart and meet after 4 hours. We can use the formula distance = rate × time to set up two equations:
Distance covered by the passenger train: P × 4
Distance covered by the freight train: F × 4
Since they meet each other, the sum of their distances should add up to 300 miles:
P × 4 + F × 4 = 300
Substituting P = F + 15 into the equation, we can solve for F:
(F + 15) × 4 + F × 4 = 300
4F + 60 + 4F = 300
8F = 240
F = 30
Now that we have the rate of the freight train, we can substitute it back into the equation P = F + 15 to find the rate of the passenger train:
P = 30 + 15
P = 45
Therefore, the rate of the passenger train must be 45 miles per hour, and the rate of the freight train must be 30 miles per hour.
For such more questions Train Rates
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100 POINTS
which of the following best describes the general situation in post war America
A. low unemployment
B. Great Depression
C. population decrease
D. equality for all
A. low unemployment
I hope this answer helps you...
if the family chooses to give you a 20% tip and the tax rate is 8.5% how much will they pay in total??
Enter cost and tip percent to get a tip amount and total dinner amount. ... how many people? ... Calculate a tip or gratuity and get the total amount to pay. ... If you are splitting the cost at a restaurant among several people you can divide by the ... To calculate a gratuity or tip on any calculator it is a simple multiplication.
Answer:
Step-by-step explanation:
please answer thissssssssssssssssssss
Answer:
B.) The interquartile range of the data is 2
Step-by-step explanation:
Can you find the surface area if it has a height of 5cm.
Answer:
767
Step-by-step explanation:
five hundred dollars and eighty two cents as a decimal
Answer:
500.82
Step-by-step explanation:
Answer: 500.82 mhm mhm yup
need this for final
Write the following statement as an algebraic expression: Five less than the product of 4 and a number.
Group of answer choices
5(4 - x)
5(x - 4)
4x - 5
5 - 4x
Answer:
D
Step-by-step explanation:
it means 5 minus 4x where x is the coefficient of x. Good luck.
is 3.39 a rational number
Answer:
yes it can be written as 'a/b'
Step-by-step explanation:
3.39 is 3 39/100 which, as an improper fraction, is 339/100
as long as a decimal terminates or repeats then it is rational
examples:
.333 repeating is rational
the symbol π does not terminate or repeat so it is considered to be irrational