Answer:
The opening balance is the amount of funds in a company's account at the beginning of a new financial period. It is the first entry in the accounts, either when a company is first starting up its accounts or after a year-end.
The initial balance in the account was approximately $4215.
How to find the initial balance in the account?The formula represents the relationship between the initial balance, the interest rate, the compounding period, and the time period.
To determine the initial balance in the account, we can use the formula for compound interest:
A = P(1 + r)ⁿ
where:
A = the ending balance
P = the initial balance
r = the annual interest rate as a decimal (5% = 0.05)
t = the number of years
Substituting the given values, we get:
[tex]5000 = P(1 + 0.05)^{(3.5)}[/tex]
[tex]5000 = P(1.05)^{(3.5)}[/tex]
Dividing both sides by [tex](1.05)^{(3.5)}[/tex], we get:
[tex]P = 5000/(1.05)^{(3.5)}[/tex]
Using a calculator, we get:
P ≈ $4215
Therefore, the initial balance in the account was approximately $4215.
To learn more about the interest click here:
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The question seems incomplete, the correct question would be as:
An account with an ending balance of $5000 earns 5% interest for 3.5 years. What is the initial balance in the account?
The sum of 3 consecutive even
numbers is 78.
Write the variable representation for each of
the three numbers in this sequence.
Answer:
The variable representation is x, x+2 and x+4 for this sequence.
Step-by-step explanation:
Given that:
The sum of 3 consecutive even numbers is 78.
Let,
The first even number is represented by x.
As the numbers are consecutive, thus,
First even number = x
Second even number = x+2
Third even number = x+4
Hence,
The variable representation is x, x+2 and x+4 for this sequence.
a ball is randomly selected from a bag conraining 12 yellow balls,5red balls,and 7 white balls. find p(white ball). round to the nearest hundredth if necessary?
Answer:
P(white ball)=0.29
Step-by-step explanation:
12 yellow balls
5 red balls
7 white balls
12+5+7=24
so 24 balls in the bag
[tex]\frac{7}{24}[/tex]=0.2916
rounded to the nearest is 0.29
write the tangent ratios for angle p and angle q, reduce if needed
Answer:
tanP = [tex]\frac{20}{21}[/tex] , tanQ = [tex]\frac{21}{20}[/tex]
Step-by-step explanation:
tanP = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{QR}{PR}[/tex] = [tex]\frac{20}{21}[/tex]
tanQ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{PR}{QR}[/tex] = [tex]\frac{21}{20}[/tex]
mother i need of the assistance i have fallen of my scooter
Answer:
ok....
Step-by-step explanation:
Umm I don't think this is a question but....
Oh my lord how did you fall off!!
I am going to call 911
They will be here in 5 minutes!!
Can you also explain it? Use the distributive property to simplify the expression.
4 (1a + b – 6)
Answer:
4a + 4b - 24
Step-by-step explanation:
You first start off by giving (multiplying) 4 to everything that's in the parenthesis.
Second you multiply:
4 x 1a = 4a
4 x b = 4b (also remember that a variable by its self is just 1)
4 x -6 = -24
Lastly you put it together:
4a + 4b - 24
For the -24 you can either do it the way I did or this way -> (-24) but teachers will look mostly for -24 way. But use whichever one is easier for you :)
Hope this helps!
What is the value of x in the equation 3x – y = 18, when y = 27?
a.5
b.7
c.45
d.63
Answer:
x = 15
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
3x - y = 18
y = 27
Step 2: Solve for x
Substitute in y: 3x - 27 = 18Isolate x term: 3x = 45Isolate x: x = 15Answer:
15
Step-by-step explanation:
3x - y = 18
Insert the value of y in the equation.
3x - 27 = 18
Shift -27 to the other side of the equation.
3x = 18 + 27
3x = 45
x = 45 ÷ 3
x = 15
So please check if your options and the equation are correct.
plz help with this question
Answer:
q⁸/16p¹²Step-by-step explanation:
Use of formulas:
(a/b)⁻ⁿ = (b/a)ⁿ(aᵇ)ⁿ = aᵇⁿSimplifying
(2p³/q²)⁻⁴ =(q²/2p³)⁴ =(q²)⁴/(2p³)⁴ =q⁸/2⁴p¹² =q⁸/16p¹²Answer:
[tex] { (\frac{2 {p}^{3} }{ {q}^{2} }) }^{( - 4)} = \frac{{2}^{(-4)} {p}^{(3 \times ( - 4))} }{ {q}^{(2 \times ( - 4))} } = \frac{ {p}^{ (- 12)} }{16 {q}^{( - 8)} }=\boxed{\frac{ {q}^{8} }{ 16{p}^{12} }} \\ [/tex]
q⁸/16p¹² is the right answer.Please help I really do not understand this yeah I can be weird sometimes but please help will mark the correct answers brainiest
Answer:
Step-by-step explanation:
1.0.39
2.0.33
3.Loose
4.0.14
I did the first four... hope that helps
for the equation 2(4x+10)=8x+k what value of k will create infineltly many solutions please help
Answer:
The value of k = 20 for equation 2(4x+10)=8x+k to have infinitely many solutions.
Step-by-step explanation:
Given the expression
[tex]2(4x+10)=8x+k[/tex]
solving
[tex]2(4x+10)=8x+k[/tex]
[tex]8x+20 = 8x+k[/tex]
We know that the equations with infinitely many solutions have the same expressions on both sides
It means the value of k can be determined by further simplifying such as
[tex]8x+20 = 8x+k[/tex]
8x+20-8x = k
20 = k
Therefore, the value of k = 20 for equation 2(4x+10)=8x+k to have infinitely many solutions.
VERIFICATION:
Given
[tex]2(4x+10)=8x+k[/tex]
[tex]8x+20 = 8x+k[/tex]
Put k = 20 in the equation
[tex]8x+20 = 8x+20[/tex]
[tex]8x+20 - 8x+20 = 0[/tex]
[tex]0 = 0[/tex]
equations with infinitely many solutions have the same expressions on both sides.
This means the statement is always true.
Figure this out for brainlest thanked daily and 5 stars
Good luck :))
Answer:70 minutes
Step-by-step explanation:this is because since 1 min =6 cartons .And u are figuring out for 420 cartons ,you think what is 420 divide 6 which is 70 .So it means 70.
1 min = 6 cartons
x min = 420 cartons
do 420 times 1 it gives u 420 then divide by 6.
13 POINTS
A plan for a dog house has a scale of 4 inches 1 fool. The plan shows the
measurements of the dog house Noor as 16 inches by 10 inches. Which is the actual
area of the dog house floor to the nearest tenth inch?
40,0 square feet
53.3 square feet
10.0 square feet
13.3 square feet
Which equation represents a direct linear variation?
A) 7=x+2
B) y=1/2x
C) y=1/x
D) 7=x^2
Answer:
B
Step-by-step explanation:
The equation representing direct linear variation is
y = kx ← k is the constant of variation
The only equation in this form is
y = [tex]\frac{1}{2}[/tex] x ( with k = [tex]\frac{1}{2}[/tex] )
round 5,816 to the nearest hundred
Answer:
5800
Step-by-step explanation:
that is to the nearest hundred
Answer:
5,800
Step-by-step explanation:
In 5,816. the number in the hundred place is the 8. The rule in rounding is 5 and above goes up, under 5 stay the same. The number after the 8 is the 1 and 1 is less than 5, so stays the same. So the 5,816 rounded to the hundred place is 5,800.
The value of seven in 17.92 is what times as much as the value of seven in 92.17
Answer:
100
Step-by-step explanation:
In 17.92, the 7 is in the ones digit, so its value is 7.
In 92.17, the 7 is in the hundredth digit, so its value is 0.07
7 is 100 times 0.07
Expand and simplify
2(x + 7) + 3 (x + 1)
Answer:
Step-by-step explanation:
2x + 14 + 3x + 3
Solving like terms
5x + 17
I am a number between 17 and 25
I am a multiple of 3
6 is not a factor of mine
Answer: 21
Step-by-step explanation:
Possible outcomes: 18,19,20,21,22,23,24
18, 21, and 24 are multiples of 3.
18 and 24 are multiples of 6
21 is the answer
A submarine changed its depth by -24 feet each minute for six minutes.
What was the total change in depth at the end of the 6 minutes?
Answer:-144
Step-by-step explanation:
What is the answer to 5 divided by 2/7
Answer:
17 1/2
Step-by-step explanation:
To divide a whole number and a fraction, write the whole number as a fraction (in this case, 5 becomes 5/1). Then, change the division symbol to a multiplication symbol. After that, you flip the second number and multiply. As you can see, you get 35/2 as the answer. To simplify that, divide 35 by 2. The answer becomes the whole number, the divisor becomes the denominator, and the remainder becomes the numerator. That means our simplified answer is 17 1/2.
please help. Will give brainliest!!
Answer:
A.
Step-by-step explanation:
For starters, we can combine like terms. we can combine -3 with -2 to get -5, and [tex]\frac{3}{5} x[/tex] with [tex]\frac{-1}{5} x[/tex] to get [tex]\frac{2}{5} x[/tex]. Now, we have [tex]\frac{2}{5} x-5[/tex] as our final answer, or answer A. Also, brainliest is not necessary. Hope this helps!
Write an equation of the line with the given slope that contains the given point.
a) Q(5,2), slope -2
Answer:
[tex]y=-2x+12[/tex]
Step-by-step explanation:
We can use the point-slope form given by:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is the slope and (x₁, y₁) is a point.
So, we will substitute -2 for m and (5, 2) for (x₁, y₁). This gives us:
[tex]y-(2)=-2(x-(5))[/tex]
Simplify:
[tex]y-2=-2(x-5)[/tex]
Distribute:
[tex]y-2=-2x+10[/tex]
Add 2 to both sides. Hence, our equation is:
[tex]y=-2x+12[/tex]
You want to put $2,500 in a simple interest account. It has a 4% annual interest rate. How long must you invest that money to earn $500 in iterest?
Answer:
5 years
Step-by-step explanation:
2500 x 0.04 = 100
500/100 = 5
I need help or me mommy will get mad
Answer:
2 inches
Step-by-step explanation:
[tex]\frac{.25}{4} =\frac{x}{32} \\[/tex]
(0.25*32)/4=2
Answer:
2 inches
Step-by-step explanation:
please mark this answer as brainliest
trayvon bought 2 gallons of milk at the supermarket how many quarts of milk did he buy
Answer: He bought 8 quarts
Step-by-step explanation:
There are 4 quarts in a gallon so if you multiply 4 by 2 then you get 8,
Answer:
8 quarts
Step-by-step explanation:
1 gallon is equal to 4 quarts, so from there you just multiply 2 times 4 and you get 8 !
checkers is one of the oldest board games still played today. the oldest known checkerboard is over 5,000 years old. a standard checkerboard is square and has an area of 64 square inches. what is the length of one side of the board? PLEASE HELP
Answer:
I think its 8 because 8 plus 8 is 64
What is the reference angle for 7pi/6?
A. pi/6
B. pi/4
C. pi/3
D. 5pi/6
E. pi
Answer:
pi/6
got it right on plato
Divide x3 + x2 - X+ 2 by r+ 4 using long division.
Answer:
6-x+2bry
Step-by-step explanation:
Answer:
Here are the steps required for Dividing by a Polynomial Containing More Than One Term (Long Division):
Step 1: Make sure the polynomial is written in descending order. If any terms are missing, use a zero to fill in the missing term (this will help with the spacing).
Step 2: Divide the term with the highest power inside the division symbol by the term with the highest power outside the division symbol.
Step 3: Multiply (or distribute) the answer obtained in the previous step by the polynomial in front of the division symbol.
Step 4: Subtract and bring down the next term.
Step 5: Repeat Steps 2, 3, and 4 until there are no more terms to bring down.
Step 6: Write the final answer. The term remaining after the last subtract step is the remainder and must be written as a fraction in the final answer.
Example 1 – Divide: Example 1
Drac
write vowels along
the horizontal line and
number
of
times a vowel scoundring
along
the vertical axit
Answer:
I o u a e
Step-by-step explanation:
these are the vowels
If i roll 2 dice what is the probability that neither of them are prime nor even?
Answer:
There are 3 prime numbers shown on the die: 2, 3 and 5. The probability of showing a prime number on a single die is 1/2, hence the probability of not showing a prime number is also 1/2. Total possible outcomes when two dice are rolled = 6*6 = 36. Total possible outcomes when two dice are rolled = 6*6 = 36.
The graph above shows marnie's rate while walking. Which of the following is an ordered pair on the graph??
A.(2,100)
B.(3,200)
C.(4,250)
D.(8,500)
Answer:
A.(2,100)
have a nice day and I hope it helps
Answer:
A
Step-by-step explanation:
I only need help with 19-21. Any help is appreciated