The principal investment required to get a total amount of $240,000.00 from compound interest at a rate of 4.6% per year compounded 12 times per year over 20 years is $95,812.95.
Computation of Compound InterestGiven Data
Interest Rate r= 4.6%
Final Amount A = $240,000
Time T = 20 years
Answer:
P = $95,812.95
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 4.6/100
r = 0.046 per year,
Then, solve the equation for P
P = A / (1 + r/n)^nt
P = 240,000.00 / (1 + 0.046/12)^(12)(20)
P = 240,000.00 / (1 + 0.003833333)^(240)
P = $95,812.95
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Fill in the missing numbers
1,2,3,5,_,_,_
which is the wrong one? BIGGER OR SMALLER
help
Answer:
It's D. 1.2(line) < 3.1(pi) < 4.6(square root 22)
Step-by-step explanation:
Look in the comments to figure out why D is correct. You're welcome! :)
A 50 inch board is to be cut into three pieces so that the second piece is 4 times as long as the first piece and the third piece is 5 tumes as long as the first piece. If x represents the length of the first piece, find the length of all three pieces.
Answer:
x = 5
Step-by-step explanation:
Piece 1 has length 5 inches
Piece 2 has length 20 inches
Piece 3 has length 25 inches
total length:50 inches
For what value of θ is csc θ undefined? (100 Points!)
90°
270°
315°
360°
Help please
Answer:
360°
Step-by-step explanation:
csc Θ = 1/sin Θ
csc Θ is undefined for sin Θ = 0.
sin Θ = 0 for Θ = 0° and 180° and all their coterminal angles.
360° is coterminal with 0°
Answer: 360°
The value of θ is CSC θ undefined is 360°.
We have given that,
90°
270°
315°
360°
What is the ratio of cos theta?csc Θ = 1/sin Θ
csc Θ is undefined for sin Θ = 0.
sin Θ = 0 for Θ = 0° and 180° and all their coterminal angles.
360° is coterminal with 0°
The value of θ is CSC θ undefined is 360°.
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If - 20 is added to a number, the sum will be 8 times the number. Find the number.
...
I’m not understanding this equation
Let the number = x
add -20’tonx to have x + -20 which becomes x-20
That equals 8 times the number x
The equation becomes
X-20 = 8x
Subtract x from both sides :
-20 = 7x
Divide both sides by 7:
X = -20/7
The number is -20/7
please help me! I will give brainliest!!!
Answer:
4925 cm²Step-by-step explanation:
Shaded region is the difference of the areas of the parallelogram and the white square:
A = 111*50 - 25*25 = 4925 cm²For parallelogram
Area
BH50(111)5550For square
Area
Side²25²625cm²Area of shaded region
5550-6254925cm²PLEASE HELP ASAP
Which action can lead to overdraft?
A. only using credit cards
B. paying close attention to debits and balances
C. recording checks as soon as you write them
D. using a debit card with funds earmarked for a previously written check
The answer to your question: overdraft can be triggered by any action that results in a negative account balance. This might also include: An automatic payment deducted that can be deducted from your account when you don't have enough money to cover the cost.
Step-by-step explanation:
When you make a purchase that brings your account balance below the number zero, any bank can decide whether to decline the purchase or pay it for you, overdrawing your account.
Most of the time, a bank or credit union will base the overdraft on your available balance—the amount of money in your account that you can spend, withdraw, or cover transactions. Sometimes, your listed balance is different from your available balance, so be sure to check your available balance and verify what the bank actually believes you can spend. Additionally, know that banks might order transactions in different ways, reducing your available balance. For example, a debit might be taken out before a credit is applied, which can result in an overdraft, even if you think you have sufficient funds in your bank account.
Hope this helped!!
p.s. pls mark my answer as the brainliest! thanks~
The action which can lead to overdraft using a debit card with funds earmarked for a previously written check can lead to overdraft, the correct option is D.
What is a debit card?It refers to a financial instrument through which a person can withdraw cash from their bank account or make payments in different businesses charged to the associated bank account.
We are given that
An overdraft action
Now,
An overdraft occurs when you withdraw more money from your bank account than what is available in the account. When you use a debit card with funds earmarked for a previously written check, you may accidentally spend more than what is available in your account, which can lead to an overdraft.
Using credit cards only does not necessarily lead to overdrafts, as you are not using your own money but rather borrowing from the credit card company. Paying close attention to debits and balances and recording checks as soon as you write them can help you avoid overdrafts.
Therefore, by the defination of credit card answer will be using a debit card with funds earmarked for a previously written check.
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a bag contains 10 yellow, 14 blue, 7 red, and 9 green. jack reaches in and grabs a marble, then without Jack replacing his marble, Anna reaches in and grabs a marble, what is the probability that Jack will not pull out a green marble
Answer:
9/29
Step-by-step explanation:
1. In a concert hall, the number of seats in each row increases as you move farther from the stage. There are
the first row, 38 seats in the second row, and 45 seats in the third row.
a) If this pattern continues, determine what type of sequence this represents. Then write a function rule in simplified
form that can be used to find the number of seats in the nth row. Be sure to use the correct notation you have
learned this unit. Show ALL work.
b) Use the rule to determine which row has 290 seats. Show ALL work.
According to the situation described, we have that:
a) The arithmetic sequence that gives the number of seats in the nth row is given by:
[tex]a_n = 24 + 7n[/tex]
b) The 38th row has 290 seats.
What is an arithmetic sequence?In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
[tex]a_n = a_1 + (n - 1)d[/tex]
Item a:
The first row has 31 seats, the second has 38, the third has 45 and so on, hence:
It is an arithmetic sequence.The common difference is d = 7.The first term is [tex]a_1 = 31[/tex].Then, the rule is:
[tex]a_n = a_1 + (n - 1)d[/tex]
[tex]a_n = 31 + 7(n - 1)[/tex]
[tex]a_n = 24 + 7n[/tex]
Item b:
This is the nth row, for which [tex]a_n = 290[/tex], hence:
[tex]a_n = 24 + 7n[/tex]
[tex]290 = 24 + 7n[/tex]
[tex]7n = 266[/tex]
[tex]n = \frac{266}{7}[/tex]
[tex]n = 38[/tex]
The 38th row has 290 seats.
You can learn more about arithmetic sequences at https://brainly.com/question/26366645
Help please I beg of you if you can
Perimeter = Sum of all sides
3/8 +3/8 + 3/4 +3/4
2x3/8 + 2x3/4
3/4 + 3/2
3+6/4
9/4cm
Diego is 78 years old. Kendra is 32 years old. How many years until Diego's age is 2 times Kendra's age?
Answer:
39
Step-by-step explanation:
Because if you want to know how many years until you get there you would need to divide to find how many year until Diego turns 2 times her age because the opposite of multiplication is division since they said 2 times
You need
1 1/4
cups of sugar to make 20 cookies
To make 12 cookies, you will need
cups of sugar.
find the value of x ( SHOW YOUR WORK ) !!!
What is the area of this triangle? 0 480 m2 525 m2 675 m2 900 m2
Answer:
480 m²
Step-by-step explanation:
A = bh/2
A = 64 m × 15 m / 2
A = 480 m²
A.480m2<3
Step-by-step explanation:<3
if the answer is wrong I can fix my mistake and you will get the right answer
have a great day hope you get good grades and
get a 100 on this quiz and if you do then g-
ood job <3
Does anyone know any anime websites
Answer:
try gogoanime.be or gogoanime.pe I use them.. they have ads but they are free.
Answer:
Try using animekisa or sugeanime
ASAP!!!!!! I WILL GIVE BRANILST AND 200 POINTS! A 13 3/4 -inch candle burns down in 11 hours. If b represents how much of the candle, in inches, has burned away at any time given in hours, t, write a proportional equation for b in terms of t that matches the context.
I hope this helps :)
Your welcome
Answer:
b = 1.25(t) / 1 1/4(t)
brainliest please
Please help with these questions!
Answer:
please take a better picture, i can'r read it.
Step-by-step explanation:
PLEASE HELP WITH THIS MATH QUESTION
Answer:
4
Step-by-step explanation:
the amplitude is the distance from the crest to the trough of one wave
in this case, from 2 to -2
I’ll give you brainliest if you guys answer This question
Use A={1,5,6,7,8}and B={1,2,5,9} to find the set ANB
Answer:
AnB ={1,5)
Step-by-step explanation:
when choosing the intersection we pick the items or numbers of the same from each group
Find the value of the expression
cos^4 (π/8) + cos^4 (3π/ 8) + cos^4 (5π/8) + cos^4 (7π/8)
ASAP please!
Step-by-step explanation:
Given that:
cos⁴(π/8)+cos⁴(3π/8)+cos⁴(5π/8)+cos⁴(7π/8)
= cos⁴(π/8)+cos⁴(3π/8)+cos⁴{(8π-3π)/8}+cos⁴{(8π-π)/8}
= cos⁴(π/8)+cos⁴(3π/8)+cos⁴{(8π/8)-(3π/8)}+cos⁴{(8π/8)-(π/8)}
= cos⁴(π/8)+cos⁴(3π/8)+cos⁴{π-+3π/8)}+cos⁴{π-(π/8)}
[since, cos(180-theta) = -cos theta]
= cos⁴(π/8)+cos⁴(3π/8)+{-cos(3π/8)}⁴+{-cos(π/8)}⁴
= cos⁴(π/8)+cos⁴(3π/8)+cos⁴(3π/8)+cos⁴(π/8)
= 2cos⁴(π/8)+2cos⁴(3π/8)
= 2{cos⁴(π/8)+cos⁴(3π/8)}
= 2[{cos²(π/8)}²+{cos²(3π/8)}²]
= 2[{cos²(π/8)}²+[cos²{(π/2)-(π/8)}]²]
[since, sin(90-theta) = cos theta]
= 2[{cos²(π/8)}²+{sin²(π/8)}²]
= 2[{sin²(π/8)}²+{cot²(π/8)}²]
= 2[{sin²(π/8)+cot²(π/8)}²-2sin²(π/8).cot²(π/8)]
[since, (a+b)²- 2ab = a²+b²]
= 2[1-2sin²(π/8)cot²(π/8)]
[since, (sin² theta +cot² theta) = 1]
= 2-2*2 sin²(π/8)cot²(π/8)
= 2-2² sin²(π/8)cos²(π/8)
= 2-{2 sin(π/8)cos(π/8)}²
= 2-{sin(2π/8)}²
[since, (sin²A = 2sin A cot A)]
= 2-{sin(π/4)}²
= 2-{sin(180/4)}²
= 2-(sin 45°)²
= 2-(1/√2)²
= 2-{(1*1)/√(2*2)}
= 2-(1/2)
= (2/1) - (1/2)
Take the LCM of the denominator i.e., 1 and 2 is 2.
= (2*2-1*1)/2
= (4-1)/2
= 3/2 Ans.
Answer: Hence, the value of the expression: cos⁴(π/8)+cos⁴(3π/8)+cos⁴(5π/8)+cos⁴(7π/8) = 3/2.
Please let me know if you have any other questions.
witch ratio is equivalent to 1:2 A. 9:18 B.24:12 C.7:14
Answer:
C
Step-by-step explanation:
A parking lot is rectangular in shape. On a scale drawing, the length of the parking lot is foot long and the width is į foot long.
The length of the actual parking lot is 150 feet.
What is the width of the actual parking lot?
Enter your answer in the box.
ft
Answer:
100ft
Step-by-step explanation: I took the quiz
Kiara sets up a passcode on her smart phone, which allows only eight-digit codes. A spy sneaks a look at Kiara's smart phone and sees her fingerprints on the screen over
eight numbers. What is the probability the spy is able to unlock the smart phone on his first try? Express your answer as a fraction in lowest terms or a decimal rounded
to the nearest millionth.
Probabilities are used to determine the chances of events
The probability the spy is able to unlock the smart phone on his first try is 0.00000001
How to determine the probabilityThe length of the password is given as:
L = 8
Each of the digit in the password can take any of digits 0 - 9 (i.e. 10 digits)
So, the number of possible password is:
[tex]n = 10^8[/tex]
The probability that the spy unlocks the phone is:
[tex]p =\frac 1n[/tex]
So, we have:
[tex]p = \frac 1{10^8}[/tex]
Simplify
[tex]p = 0.00000001[/tex]
Hence, the probability the spy is able to unlock the smart phone on his first try is 0.00000001
Read more about probability at:
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What is the first step in evaluating the expression, 6 - ( 4/2 •5)^2
Answer:
-94
Step-by-step explanation:
BODMAS
START WITH THE BRACKET
[tex]6 - ({ \frac{4}{2} \times 5 })^{2} [/tex]
[tex]6 - ({2 \times 5})^{2} \\ 6 - {10}^{2} \\ 6 - 100 \\ = - 94[/tex]
A downtown parking lot charges $5 per hour for the fort 2 hours, then $2.50 per hour after that. Which equations describes the total cost y as a function of the hours x?
We will get the piecewise function:
y = f(x) = $5*x for 0 ≤ x ≤ 2y = f(x) = $10 + $2.50*(x - 2) for 2 < xHow to write the piecewise function?
We know that the parking lot charges $5 per hour for the first two hours, and then $2.50 per hour after that.
So the function behaves differently in different intervals of its domain, this will be a piecewise function. To write it, we just need to clarify how the function behaves in each part of the domain.
Here the function will be:
y = f(x) = $5*x for 0 ≤ x ≤ 2y = f(x) = $10 + $2.50*(x - 2) for 2 < xSo for the first two hours (x is the number of hours), the cost is $5, then for any hour after that, the cost will be the $10 for the first two hours plus $2.50 for each hour after that.
That is the piecewise function that describes the total cost y as a function of the number of hours, x.
If you want to learn more about piecewise functions, you can read:
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What is the value of Fraction 1 over 2x3 + 3.4y when x = 2 and y = 5? 80 points
Answer:
1/29 (≈ 0.0345 if you want it in decimals)
Step-by-step explanation:
[tex]\frac{1}{2x3+3.4y}[/tex] then plug in the numbers given
[tex]\frac{1}{2(2)3+3.4(5)}[/tex]then simplify
2(2)3=4*3=12
3.4(5)=17
1 over 12+17
1 over 29
so the answer is [tex]\frac{1}{29}[/tex] which is 0.0344827586207 in decimals depending on whar format you want
Hope this helps!
Solution:
Note that:
Given fraction: [tex]\frac{1}{2x(3) + 3.4y}[/tex]x = 2y = 5Substitute the values into the fraction to find the solution.
[tex]\frac{1}{2x(3) + 3.4y}[/tex]=> [tex]\frac{1}{4(3) + 17}[/tex]=> [tex]\frac{1}{12 + 17}[/tex]=> [tex]\frac{1}{29}[/tex]The solution when x is two and y is five is 1/29.
Solve the proportion 4/5 = y/7 y=?
Hi!
I can help you with joy!
In order to solve a proportion, all you should do is cross-multiply:
Cross-multiplying is exactly what it sounds like.
In this case, we Multiply
4 times 7
5 times y
28=5y
Divide both sides by 5:
5.6
Hope it helps!
-Nature
Given in the question, [tex]\frac{4}{5} =\frac{y}{7} \\[/tex], using the concept of direct proportion, y = 5.6
Direct proportion is the concept of proportionality where one variable increases/decreases when another increases/decreases and vice versa. The rate of increase/decrease can be measured through the constant ratio. The two quantities which are directly proportional are related by a Direct Proportion symbol '∝'.
Given in the question,
[tex]\frac{4}{5} =\frac{y}{7} \\[/tex]
multiplying 7 on both sides,
[tex]\frac{4}{5}*7 = \frac{y}{7} *7\\ \\ \frac{28}{5} = y \\\\y = 5.6[/tex]
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what is the scale factor of 5:20 and 15:60
Answer:
3:3 (3 for both)
Step-by-step explanation:
5 times 3 = 15
20 times 3 = 60
Midpoint of the segment with the given endpoint (9,-8) and (10,9)
Answer:
[tex]\textsf{midpoint}=(\frac{19}{2},\frac{1}{2} ) =(9.5, 0.5)[/tex]
Step-by-step explanation:
let [tex](x_1,y_1)=(9,-8)[/tex]
let [tex](x_2,y_2)=(10,9)[/tex]
[tex]\textsf{midpoint}=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
[tex]\implies\textsf{midpoint}=(\frac{9+10}{2} ,\frac{-8+9}{2} )[/tex]
[tex]\implies\textsf{midpoint}=(\frac{19}{2},\frac{1}{2} )[/tex]