Answer:
Step-by-step explanation:Understanding Simple Interest
Interest is the cost of borrowing money. Typically expressed as a percentage, it amounts to a fee or charge that the borrower pays the lender for the financed sum.
Simple interest is an easy way to look at the charge you'll pay for borrowing. The interest rate is calculated against the principal amount and that amount never changes. Neither compounding interest nor calculation of the interest rate against a growing total balance is involved.
That means you'll always pay less interest with a simple interest loan than a compound interest loan if the loan term is greater than one year.
Many debt transactions involve a more complex calculation of interest than simple interest.
Benefits of a Simple Interest Loan
Interest doesn't compound or get added to the principal amount for a larger borrowing cost result. You never pay interest on interest.
Borrowers can save money.
Debts can be easier to pay off.
The simple interest calculation is simple and straightforward.
Simple interest is better for borrowers because it doesn't account for compound interest. On the other hand, compound interest is a key to building wealth for investors.
Simple Interest Formula
The formula for simple interest is straightforward:
Simple Interest
=
�
×
�
×
�
where:
�
=
Principal
�
=
Interest rate
�
=
Term of loan, in years
Simple Interest=P×r×n
where:
P=Principal
r=Interest rate
n=Term of loan, in years
Example of Simple Interest
As a reminder, simple interest paid or received over a certain period is a fixed percentage of the principal amount that was borrowed or lent.
For example, let's say that a student obtains a simple interest loan to pay for one year of college tuition. The loan amount is $18,000. The annual interest rate on the loan is 6%. The term of the loan is three years.
Using the simple interest formula above, the amount of simple interest on the student's loan is:
$
1
8
,
0
0
0
×
0
.
0
6
×
3
=
$
3
,
2
4
0
$18,000×0.06×3=$3,240
Therefore, the total amount of principal and interest paid to the lender is:
$
1
8
,
0
0
0
+
$
3
,
2
4
0
=
$
2
1
,
2
4
0
$18,000+$3,240=$21,240
Can I get help with this, I’m so confused
The linear and exponential equations for the amount of money in the banks indicates;
TCF Bank Equation
y = 100·x + 1000
Well Fargo Bank Equation
y = (1.06)ˣ
The number of years it will take for both accounts to have the same amount of money is about 17 years
What is an exponential equation?An exponential equation is an equation of the form; y = a·bˣ, where the input variable, x is an exponent.
The equation for calculating the amount in each bank, based on the details are;
TCF Bank;
Amount invested = $1,000
Amount added each year = 100·x
The TCF Bank Equation is; y = 100·x + 1000Well Fargo Bank Equation
The percentage of the amount earned as interest each year = 6% = 0.06
The exponential equation for compound interest amount is; y = 1000·(1 + 0.06)ˣ
Therefore; y = 1000·(1.06)ˣ
The Well Fargo Bank Equation is; y = 1000·(1.06)ˣWhen the amount in the two accounts have the same amount of money, we get;
1000·(1.06)ˣ = 100·x + 1000
Therefore; (1.06)ˣ = (100·x + 1000)/1000 = 0.1·x + 1
(1.06)ˣ = 0.1·x + 1
Solving the above equation using the substitution method and graphing indicates that we get;
x = 0, and x ≈ 17.125732
Therefore, it takes about 17 years for the two accounts to have the same amount of money
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plsssssssssssssssssssssss helppppppppppppppppppppp
What is the y-intercept of the line representing Beatrice's monthly music subscription bill as a function of the number of songs she downloaded?
$$
The y-intercept of the line representing Beatrice's monthly music is 20
How to determine the y-intercept of the lineFrom the question, we have the following parameters that can be used in our computation:
y = -.95x + 20
To calculate the y-intercept of the line, we set x = 0
So, we have
y = -.95 * 0 + 20
Evaluate
y = 20
Hence, the y-intercept of the line representing Beatrice's monthly music is 20
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Question
What is the y-intercept of the line representing Beatrice's monthly music subscription bill as a function of the number of songs she downloaded?
The equation is y = -.95x + 20
Find the area of 11 by 2
Cindy and Kendra both want to buy the same dress. The dress costs 2/3 of Cindy's savings, and it costs 1/2 of Kendra's savings. If Kendra has $30 more savings tahn Cindy, how much does the dress cost?Answer: $______
To determine the cost of the dress:
Let the cost of the dress = C
Let the cindy's savings = x
Let the kendra savings = y
Kendra has $30 more savings than Cindy
\(y=30+x\ldots..\text{. }(1)\)The dress cost = 2/3 of cindy's savings and = 1/2 of kendra's savings
\(\begin{gathered} C=\frac{2}{3}x=\frac{1}{2}y \\ \frac{2}{3}x=\frac{1}{2}y \\ \text{cross multiply} \\ 4x=3y \\ 4x-3y=0\ldots\ldots(2) \end{gathered}\)substitute y in equation (2)
\(\begin{gathered} 4x-3y=0 \\ 4x-3(30+x)=0 \\ 4x-90-3x=0 \\ 4x-3x=0+90 \\ x=90 \end{gathered}\)Cost of the dress = 2/3 of cindy's
\(C=\frac{2}{3}x=\frac{2}{3}(90)=\text{ \$60}\)Therefore the cost of the dress = $60
what are the steps to solve this
Answer:
The equation of this line is y = -4.
Answer:
y=-4
Step-by-step explanation:
zero slope m=0
y-y1=m(x-x1)
y-(-4)=0(x-(-9))
y+4=0
y=-4
For the following figure, complete the statement for the specified points.
Points A, B, C, and Q are
o collinear
coplanar
both collinear and coplanar
neither collinear nor coplanar
Answer:
2) Coplanar
Step-by-step explanation:
As points A, Q & C are on a Straight Line so these 3 are Collinear. B & C points are also Collinear. But A, B, C, and Q are not Collinear But these four are on a Single plane So the B option Will be right.
Mark me as Brainliest if you got it.
Answer:
both collinear and coplanar
Step-by-step explanation:
Fill in the missing (yellow) exterior angle with (5x) to solve for x. Diagram may not be to scale.
Step-by-step explanation:
the sum of all exterior angles in a polygon is always 360° (one time around the full circle).
so,
360 = 71 + 85 + 44 + 3x + 5x = 8x + 200
160 = 8x
x = 20
AP TEST QUESTION 1
PLEASE HELP
ILL GIVE BRAINLIST ANSWER
IMAGE ABOVE
On solving the provided question we can say that - from the graphs n f (x) and g( x) are 1 and 5 .
What is graphs?Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph
by graphs of the function f (x) and g( x).
\(lim f ( x) + lim g ( x )\\= -1 + 2 = 1\\ f ( -1 ) + lim g ( x)\\= 3 + 2\\= 5\)
from the graphs n f (x) and g( x) are 1 and 5 .
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Given a conditional statement p → q, find the inverse of its inverse, the inverse of its converse, and the inverse of its contrapositive.
The inverse of an implication p ⇒ q is ¬p ⇒ ¬q.
The converse of p ⇒ q is q ⇒ p.
The contrapositive of p ⇒ q is ¬q ⇒ ¬p.
Then
• the inverse of the inverse of p ⇒ q is p ⇒ q
• the inverse of the the converse of p ⇒ q is ¬q ⇒ ¬p
• the inverse of the contrapositive of p ⇒ q is q ⇒ p
Can anyone help me that would be great
Answer:
0.343, 0.424, 0.443
Step-by-step explanation:
Review the image below. Based on the image, what type of transformation is
this? Be specific and detailed and explain how/why you know. Use details, correct
vocabulary and coordinates to justify your reasoning. Your answer should be in
paragraph form using complete sentences.
Answer:
When you read a sentence, you may first look for the subject or what the sentence is about. The subject usually appears at the beginning of a sentence as a noun or a pronoun. A noun is a word that identifies a person, place, thing, or idea. A pronoun is a word that replaces a noun. Common pronouns are I, he, she, it, you, they, and we. In the following sentences, the subject is underlined once.
Step-by-step explanation:
You will often read a sentence that has more than one noun or pronoun in it. You may encounter a group of words that includes a preposition with a noun or a pronoun. Prepositions connect a noun, pronoun, or verb to another word that describes or modifies that noun, pronoun, or verb. Common prepositions include in, on, under, near, by, with, and about. A group of words that begin with a preposition is called a prepositional phrase. A prepositional phrase begins with a preposition and modifies or describes a word. It cannot act as the subject of a sentence. The following circled phrases are examples of prepositional phrases.
Answer:
this is a rotation. you can tell because point Z is (-5,2) and Z' is (2,5)
Point X was (-5,7) and X' is (7,5) and Point Y was (-2, 2) and Y' is (2,2).
by looking at the picture it was rotated 90 degrees counterclockwise
Step-by-step explanation:
Dylan has a pitcher with 1.65 L of orange juice. He pours out 0.2 L
of the juice. Then he adds some sparkling water to the pitcher to
make orangeade. He ends up with 1.9 L of orangeade. Solve the
equation 1.65 -0.2 + x = 1.9 to find the amount of sparkling
water, x, Dylan adds to the pitcher. Show your work.
Answer:
Step-by-step explanation:
fork knife
18 is 32% of what number w? what is w?
Given: 18 is 32% of a number
To Determine: The number
Let the number be w. Therefore:
\(\begin{gathered} 32\%ofw=18 \\ \frac{32}{100}\times w=18 \end{gathered}\)\(\frac{32w}{100}=18\)\(\begin{gathered} 0.32\times w=18 \\ 0.32w=18 \end{gathered}\)Divide both sides by 0.32
\(\begin{gathered} \frac{0.32w}{0.32}=\frac{18}{0.32} \\ w=56.25 \end{gathered}\)Hence,
an equation is 18 = 0.32 . w
The solution is w = 56.25
The sum of 1/7 of a number and 1/8 of that number gives 12
Answer:
the problem is 1/7x+1/8?
Which statement about the zeros of the graphed function is true?
A polynomial function passes through (0.8, 4), (2, minus 4), (4.6, 0.5), (6, 0), and (7.5, 8) also intercepts the x-axis at 1, 4 and 6 units.
A.
The function has three distinct real zeros.
B.
The function has two distinct real zeros and two complex zeros.
C.
The function has four distinct real zeros.
D.
The function has one distinct real zero and two complex zeros.
The function has three distinct real zeros.
The correct answer is A.
To determine the statement about the zeros of the graphed function, let's analyze the given information.
We have the following points on the graph:
(0.8, 4), (2, -4), (4.6, 0.5), (6, 0), and (7.5, 8)
Additionally, the function intercepts the x-axis at 1, 4, and 6 units.
To find the zeros of the function, we need to identify the x-values where the function intersects the x-axis.
From the given information, we know that the function intersects the x-axis at 1, 4, and 6 units.
These three x-values correspond to three distinct real zeros of the function.
The correct statement about the zeros of the graphed function is:
The function has three distinct real zeros.
The correct answer is A.
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Leon is building a square picture frame. The side of the frame is 335 millimeters long. If a meter of wood costs $8, how much will the wood he needs cost?
Answer: $9.66
Step-by-step explanation: perimeter = 345mm + 345mm + 345mm + 345mm = 1380
We need 1380 millimeters which is equivalent to 1.38 meters.
We can multiply the number of meters by the cost of meters to find the total
Suppose you've just deposited $ 2,004 in a bank account which earns an annual rate of return of 12%. How much will you have in the bank account after 5 years
Answer:
you will get back 167$
Step-by-step explanation:
Including Jose, there are eight people in his family.
If order matters, how many ways can he arrange his family members into a row of five seats if Jose must sit in the first seat?
O 35
O 840
O 1,680
0 2,620
Answer:
840
Step-by-step explanation:
Since the order matters, we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
\(P_{(n,x)} = \frac{n!}{(n-x)!}\)
In this question:
The first seat is Jose's.
The remaining four are organized among the other 7 members. So
\(P_{(7,4)} = \frac{7!}{(7-4)!} = 840\)
So the correct answer is:
840
Answer:
The answer is B on Edge 2020
Step-by-step explanation:
I did the Exam
35-pound mixture of metal includes 20 pounds of aluminum, 10 pounds of nickel and 5 pounds of copper. What is the ratio of mixture to copper?
The ratio of mixture to copper is equal to 6:1.
Given the following data:
Quantity of aluminum = 20 pounds.Quantity of nickel = 10 pounds.Quantity of copper = 5 pounds.To determine the ratio of mixture to copper:
What is ratio?Ratio is a mathematical expression that denotes the proportion of two (2) or more quantities with respect to one another and the total quantities.
First of all, we would determine the total quantity of mixture of metal as follows:
\(Mixture = 20+10\)
Mixture = 30 pounds.
For the ratio:
\(M:C = 30:5\)
Dividing both sides by 5, we have:
\(M:C = 6:1\)
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In the year 1985, a house was valued at $110,000. By the year 2005, the value had appreciated to $148,000. What was the annual growth rate between 1985 and 2005? Assume that the value continued to grow by the same percentage. What was the value of the house in the year 2010?
Answer:
The step by step explanation isn't your problem but it is a way to see how to do your problem
Step-by-step explanation:
This is an exponential growth equation, therefore, it follow the standard form:
where y is the value of the house after a certain number of years,
a is the initial value of the house,
b is the growth rate, and
x is the year number.
We are going to make this easy on ourselves and call year 1985 year 0. Therefore, is year 1985 is year 0, then year 2005 is year 20, and year 2010 is year 25. We will make these the x coordinates in our coordinate pairs.
(0, 113000) and (20, 155000)
Filling into our standard form using the first coordinate pair will give us the initial value of the house at the start of our problem:
Anything raised to the 0 power is equal to 1, so
113000 = a(1) and
a = 113000
Now we will use that value of a along with the second pair of coordinates and solve for b, the growth rate you're looking for:
Start by dividing both sides by 113000 to get a decimal:
To solve for b, we have to undo that power of 20 by taking the 20th root of b. Because this is an equation, we have to take the 20th root of both sides:
The 20th root and the power of 20 undo each other so all we have left on the right is a b, and taking the 20th root on your calculator of the decimal on the left gives you:
b = 1.0159 which rounds to
b = 1.02 This is our growth rate.
Now we can use this growth rate and the value of a we found to write the model for our situation:
If we want to find the value of the house in the year 2010 (year 25 to us), we sub in a 25 for x and do the math:
Raise 1.02 to the 25th power and get:
y = 113000(1.640605994) and multiply to get a final value of
y = $185,388
Consider the first payment against a $200,000 mortgage that last for 25 years. Fixed repayments are made on a monthly basis. The first row of the amortization schedule is shown below. Payment # Payment Interest Debt Payment Balance 1 d 716.67 P1 bi 2 Calculate d, the fixed monthly payments that are made. Round your answer to the nearest cent.
Calculating the value of d and the fixed monthly payments against a $200,000 mortgage that last for 25 years
The value of d = $1088.63fixed monthly payments made = $372Given that :
Present value ( PV ) $200,000
Period = 25 years
Total period ( n ) = 25 * 12 = 300
also PMT is done monthly
∴ monthly interest rate = ( 716.67 / 200,000 ) * 100 = 0.358% ( r )
i) Next step : Calculate the value of PMT
using the equation below
\(PMT = [\frac{PV}{\frac{1-(1+r)^{-n} }{r} } ]\) where : PV = $200,000, r = 0.358% , n = 300
input values into equation
∴ d = PMT = $1088.63
ii) Fixed monthly payments
= d - 716.67
= 1088.63 - 716.67 = $372
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Answer:
b1=$200,000−$372.41=$199,627.59
$199,628
If z/4+3=-2 what is the value of z/4+7?
Put your answer in the form of [x]
Answer: x=2
Step-by-step explanation:
x=z/4+7
x=z/4+3+4
x=(z/4+3)+4
x=-2+4
x=2
the pro shop at the wildwood country club ordered two brands of golf balls. par one balls cost $2.10 each and the supra balls cost $1.00 each. the total cost of par one balls exceeded the total cost of the supra balls by $330.00 . if an equal number of each brand was ordered, how many dozens of each brand were ordered?
Step-by-step explanation:
x = number of par one balls ordered.
y = number of supra balls ordered.
2.10×x = 1.00×y + 330
2.1x = y + 330
y = 2.1x - 330
x = y (equal number was ordered).
so,
x = 2.1x - 330
0 = 1.1x - 330
330 = 1.1x
x = 330/1.1 = 300
y = x = 300
1 dozen = 12 pieces
so,
300/12 = 25 dozens
25 dozens balls were ordered from each brand.
Coordinates problems:
you start at (5, 1)You move up 2 units and down 8 units. where do you end
Pls answer will reward
The f(8) of the exponential function is 131072
How to find f(8) of the exponential function?
The general form of the exponential function is f(x) = abˣ
First, derive the function using the table. That is:
From the table, when x = 0, f(x) = 2. Substitute the values into the function:
f(x) = abˣ
2 = ab⁰ (Note: b⁰ = 1)
2 = a(1)
2 = a
a = 2
Also, from the table, when x = 3, f(x) = 128. Substitute the values into the function:
128 = 2 × b³
128 = 2b³
64 = b³
b³ = 64
b = ∛64
b = 4
We can now write the exponential function for the data:
f(x) = abˣ
f(x) = 2(4)ˣ
Thus, f(8) = 2(4)⁸ = 131072
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Christina is buying a $170,000 home with a 30-year mortgage. She makes a $20,000 down payment.
Use the table to find her monthly PMI payment.
A. $51.25
B. $37.50
C. $23.75
D. $42.50
The monthly PMI Payment for Christina's loan is $37.50.The correct answer is option B.
To determine Christina's monthly PMI (Private Mortgage Insurance) payment, we need to find the corresponding interest rate for her loan-to-value (LTV) ratio. The LTV ratio is calculated by dividing the loan amount by the property value.
The loan amount can be calculated by subtracting the down payment from the property value:
Loan amount = Property value - Down payment
= $170,000 - $20,000
= $150,000
Now we can calculate the LTV ratio:
LTV ratio = Loan amount / Property value * 100
= $150,000 / $170,000 * 100
= 88.24%
Since Christina is obtaining a 30-year mortgage, we need to look at the interest rates for LTV ratios between 85.01% and 90%. According to the table, the interest rate for this range is 0.30%.
To calculate the PMI payment, we multiply the loan amount by the PMI rate and divide it by 12 months:
PMI payment = (Loan amount * PMI rate) / 12
= ($150,000 * 0.30%) / 12
= $450 / 12
= $37.50
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The Probable question may be:
Christina is buying a $170,000 home with a 30-year mortgage. She makes a $20,000 down payment.
Use the table to find her monthly PMI payment
Base to loan% = 95.01% to 97%,90.01% to 95%,85.01% to 90%,80.01% to 85%.
30-year fixed-rate loan = 0.55%,0.41%,0.30%,0.19%
15-year fixed-rate loan = 0.37%,0.28%,0.19%,0.17%.
A. $51.25
B. $37.50
C. $23.75
D. $42.50
Pleaseee helpppp it dueee in 10 minutessss!!!
Answer:
I believe the answer will be C
Step-by-step explanation:
hope this helps
Translate the triangle.
Then enter the new coordinates.
Answer:
B'(-1,6)
C'(2,6)
Step-by-step explanation:
You just have to change the x by -2 and the y by +4 because we know that (3,4) turned to (1,8)
Hope this helped!
What is the degree of the polynomial, y^2+7x^14-10x^2?
The degree of the polynomial is 14
How to determine the degree of the polynomial?The polynomial is given as:
y^2+7x^14-10x^2
Here, we assume that the variable of the polynomial is x
The highest power of x in the polynomial y^2+7x^14-10x^2 is 14
Hence, the degree of the polynomial is 14
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