Answer:
a)
[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]
b)
The total amount accrued, principal plus interest, from compound interest on an original principal of $ 4,200.00 at a rate of 3.6% per year compounded 12 times per year over 10 years is $5667.28.
Step-by-step explanation:
a. Write the function that represents the value of the account at any time, t.
The function that represents the value of the account at any time, t
[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]
where
P represents the principal amount
r represents Annual Rate
n represents the number of compounding periods per unit t, at the end of each period
t represents the time Involve
b) What will the value be after 10 years?
Given
The principal amount P = $4200
Annual Rate r = 3.6% = 3.6/100 = 0.036
Compounded monthly = n = 12
Time Period = t
To Determine:
The total amount A = ?
Using the formula
[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]
substituting the values
[tex]A\:=\:4200\left(1\:+\:\frac{0.003}{12}\right)^{\left(12\right)\left(10\right)}[/tex]
[tex]\:A\:=\:4200\left(1.0025\right)^{120}[/tex]
[tex]A=5667.28[/tex] $
Therefore, the total amount accrued, principal plus interest, from compound interest on an original principal of $ 4,200.00 at a rate of 3.6% per year compounded 12 times per year over 10 years is $5667.28.
The are 425 apples in basket A and 381 apples in Basket B. How many apples are there in the two baskets?
Answer:
There are 806 apples in the combined two baskets.
Step-by-step explanation:
Just add the amount of apples in basket A and B to get the answer.
What is the perimeter of a square with an area of 81 cm??
Answer:
36 cm
Step-by-step explanation:
Answer:
162
Step-by-step explanation:
81÷2=40.5
40.5×4=162
Use the graph to estimate the solution to the quadratic-linear system
6
How many solutions does the system of linear equations represented in the graph below have?
Infinitely many solution
One solution
No Solution
None of the above
What is the solution to the system?
Answer:
(1, 3)
Step-by-step explanation:
The solution to these kinds of graphs is where the 2 lines intersect, in this case they intersect at (1, 3), so (1, 3) is the solution
From looking at a parabola from a graph, I can kinda figure out the vertex form of it, and then factor it out to standard form.
but, in vertex form, which is a(x=h)+k, how do I figure out the a. usually, it's 1, but if it's not, how do i know that by just looking at the graph
Answer:
mhm
Step-by-step explanation:
Answer:
sure
Step-by-step explanation:
Tell whether the ordered pair is a solution to the inequality.
Answer:
If an ordered pair is a solution to an inequality, plug it into the inequality and simplify. If you get a true statement, then the ordered pair is a solution to the inequality. If you get a false statement, then the ordered pair is not a solution.
In 5 rounds of a game, Jill scored -3, 8, 9, -7, and 13. What integer represents her average score for 5 rounds? Please answer ASAP!!!
Answer:
4
Step-by-step explanation:
-3 + 8 + 9 + (-7) + 13 = 20
20/5 = 4
I don’t know how to do this I’m so confused
Answer:
You have to graph it
Step-by-step explanation:
Step-by-step explanation:
take the value in that BIG curly bracket as X terms....then substitute one by one to the equation given below to get Y values...after that u have cordinates then u can draw the graph..
[tex]x \: \: \: y \\ - 2 = - 8 \\ - 1 = - 10 \\ 0 = - 12 \\ 1 = - 14 \\ 2 = - 16[/tex]
this is for the first equation..so the coordinated are...
(-2,-8), (-1,-10), (0,-12), (1,-14), (2,-16)
use the same methord to find the others
Which table of values is correct for the equation
y=-x+3.
it's the fourth option D
Answer:
The answer is the fourth table
Step-by-step explanation:
In the table -3 gets changed to 3 because of the equation so 3+3=6
0+3=3
3 gets changed to -3 in the equation so -3+3=0
So the answers are 6
3
0
Simplify the expression.
-6q + 7 - 2 + 4q
A: 5 - 2q
B: 2q - 5
C: 5 + 2q
D: 10+2q
Answer:
c
Step-by-step explanation:
-6q+4q=2q and 7-2=5 so 2q+5
The amount of money in a saving account after t years is represented by the function f(t) = 650(1.027)
What does the value 650 represent in this situation?
The amount of money in the savings account increases by $650 each year.
The amount of money in the savings account is 650 times the amount of the previous year.
The amount of money in the savings account decreases by $650 each year.
The initial amount in the account is $650.
Answer: The initial amount in the account is $650.
Step-by-step explanation:
The formula for compound interest is:
Future value = P * (1 + i)^t
Where,
P = Initial amount
i is the interest rate
t is the time period
The equation in the question takes the same format which means that the $600 is the initial amount in the account. It will then be compounded by the interest rate in the brackets over the amount of years the cash will be in that savings account.
What is the measure of m∠6
Answer:
C. 118.2°
Step-by-step explanation:
180-61.8=118.2
Which represents z = 3 (cosine (StartFraction 7 pi Over 6 EndFraction) + I sine (StartFraction 7 pi Over 6 EndFraction) )?
Answer:
The first one
Step-by-step explanation:
Answer:
A on edge
Step-by-step explanation:
A student draws a quadrilateral that has two sides measuring 5 cm and two sides measuring 8 cm, and the sides opposite to each other are parallel.
Which of the following quadrilaterals could the student have drawn?
Select all that are possible.
A.square
B.rectangle
C.rhombus
D.parallelogram
E.trapezoid
Answer:
B
Step-by-step explanation:
two sides are longer than the other two, D could also be one of the choices but rectangles have two parallel lines and have shorter sides at the sides
A sequence is defined by the recursive function f(n + 1) = one-halff(n). If f(3) = 9 , what is f(1) ? 1 3 27 81
Answer:
81
Step-by-step explanation:
The value of f(1) for the recursive function is (d) 81
The recursive function is given as:
[tex]f(n + 1) = \frac 13f(n)[/tex]
Multiply both sides of the equation by 3
[tex]3f(n + 1) = f(n)[/tex]
Rewrite as:
[tex]f(n) = 3f(n + 1)[/tex]
Set n = 2;
[tex]f(2) = 3f(2 + 1)[/tex]
[tex]f(2) = 3f(3)[/tex]
Set n = 1 in [tex]f(n) = 3f(n + 1)[/tex]
[tex]f(1) = 3f(1 + 1)[/tex]
[tex]f(1) = 3f(2)[/tex]
Substitute [tex]f(2) = 3f(3)[/tex]
[tex]f(1) = 3 \times 3f(3)[/tex]
[tex]f(1) = 9f(3)[/tex]
Substitute 9 for f(3)
[tex]f(1) = 9 \times 9[/tex]
[tex]f(1) = 81[/tex]
Hence, the value of f(1) for the recursive function is (d) 81
Read more about recursive functions at:
https://brainly.com/question/1275192
Which number(s) are 6 units from zero on a number line?
0-6
m 12
M6
03
SUBMIT ANSWER
ASK FOR HELP
Answer:
Josie is training for a race. The ratio of
the number of minutes she runs to the
number of miles she runs is 24 to 3.
She plans to run 10 miles. How many
minutes will it take her?
2 A chef planning for a large banquet
thinks that 2 out of every 5 dinner
guests will order his soup appetizer.
He expects 800 guests at the banquet.
Use equivalent ratios to estimate how
many cups of soup he should prepare.
3 Fred is making a fruit salad. The ratio
of cups of peaches to cups of cherries
is 2 to 3. How many cups of peaches
will Fred need to make 60 cups of
fruit salad?
4 A community garden center hosts a
plant giveaway every spring to help
community members start their
gardens. Last year, the giveaway
supported 50 families by giving away
150 plants. Based on this ratio, how
many plants will the center give away
this year in order to support 65 families?
5 The first week of January, there are
49 dogs and 28 cats in an animal shelter.
Throughout the month, the ratio of dogs
to cats remains the same. The last week
of January, there are 20 cats in the
shelter. How many dogs are there?
6 A wedding planner uses 72 ivy stems
for 18 centerpieces. When she
Step-by-step explanation:
i think
Solve the system of linear equations
Answer:
I think its (3,2). you find where they meet and that's your answer
1. What are the coordinates of point D?
Answer:
3,5 or 5,3 i forget i think 5,3
Step-by-step explanation:
Answer:
(5,-3)
Step-by-step explanation:
Reduce a ratio 3/4in: 3/16 ft
Answer:
4in : 1ft
Step-by-step explanation:
We start with:
3/4 in = 3/16 ft
This means that the length of 3/4 inches is the same as the length of 3/16 feet.
To reduce this, we can start by dividing by 3 in both sides of the equation:
(3/4)/3 in = (3/16)/3 ft
1/4 in = 1/16 ft
Now we can multiply both sides by 16:
16/4 in = 16/16ft
4 in = 1ft
now we reduced the ratio to:
4in : 1ft
PLEASE HELP ME!!!! I WILL GIVE BRAINLIEST!!!!!!
Susan is buying three different colors of tiles for her kitchen floor. She is buying 25 more red tiles than beige tiles, and three times as many navy-blue tiles as beige tiles. If Susan buys 435 tiles altogether, how many tiles of each color does she buy?
Solve the system of equations Algebraically.
x+y=-3
y= x + 3
Find the value of.x, then y. Write your answer as an ordered pair.
2. What is the value of x in the following figure?
520
A. 38°
B. 52°
C. 128°
D. 1420
Answer:
38
Step-by-step explanation:
180 - (90 + 52)
180-142= 38
Find g (3) if g(r) = 2r - 1
O 5
07
06
4
Is 12x^2 a factor of 6x
Answer: 12x^2 is 144 because 12 times 12 is 144 which means 6 does not include with those so no 6 is not a factor of that
Step-by-step explanation:
f (x) = 4x² -4x
Find f (-7)
Answer:
f(-7) = 224
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 4x² - 4x
f(-7) is x = -7
Step 2: Evaluate
Substitute in x: f(-7) = 4(-7)² - 4(-7)Exponents: f(-7) = 4(49) - 4(-7)Multiply: f(-7) = 196 + 28Add: f(-7) = 224ILL MARK AS BRAINLESS
Answer:
its liter
Step-by-step explanation:
Answer:
it is 1000% Liters
Step-by-step explanation:
plz mark me brainless
i will give you brainiest :)
solve for k
9/10 = 10/k
Answer:
k = 100/9
Step-by-step explanation:
In this question, we will be solving for "k".
Solve:
9/10 = 10/k
Cross multiply.
(9 · k) = (10 · 10)
9k = 100
Divide both sides by 9
k = 100/9
Your answer would be k = 100/9
♦♦Will mark brainliest♦♦
Anton's family drove 216 mi to the lake averaging 48 mi/h . On the return trip home they averaged 54 mi/h.
What was the total time that Anton's family spent driving to and from the lake?
8.0 h
8.5 h
9.0 h
9.5 h
Answer:
8.5 h
Step-by-step explanation:
55.75
Here are three problems. Select all problems that can be solved using division. Jada cut 4 pieces of ribbon that were equal in length. She used a total of 5 feet of ribbon. How long, in feet, was each piece of ribbon she cut? A chef bought 3 bags of beans. Each bag contains 125 kilograms of beans. How many kilograms of beans did she buy? A printer takes 212 seconds to print a flyer. It took 75 seconds to print a batch of flyers without stopping. How many flyers were in the batch? Andre poured 27 ounces of rice into 6 containers. If all containers have the same amount of rice, how many ounces are in each container? Write an equation to represent the situation. Use a "?" to represent the unknown quantity. Find the unknown quantity. Show your reasoning.
Answer:
A and C
Step-by-step explanation: