Question 5 Kori owes a total of 8833 which includes 1.28% interest for the 2 quarters she borrowed the money. How much did she originally borrow? (Round to the nearest cent) Check Answer
Answers
To find the original amount Kori borrowed, we need to first calculate how much of the total amount is the interest.
We know that the total amount includes 1.28% interest for 2 quarters, which is equivalent to 0.64% interest for 1 quarter (since 1.28 divided by 2 is 0.64).
Using this information, we can set up the following equation:
Original amount + (0.64% of original amount for 1 quarter x 2 quarters) = 8833
Simplifying this equation, we get:
Original amount + (0.0128 x original amount) = 8833
Combining like terms, we get:
1.0128 x original amount = 8833
Dividing both sides by 1.0128, we get:
Original amount = 8722.22 (rounded to the nearest cent)
Therefore, Kori originally borrowed $8722.22.
Hi! To determine how much Kori originally borrowed, we'll need to consider the total amount owed (8833) and the 1.28% interest for 2 quarters. First, we need to find the interest rate for the entire period. Since there are 2 quarters, we multiply the quarterly interest rate by 2:
1.28% * 2 = 2.56%
Now, let's denote the original amount borrowed as "P". The total amount owed (8833) can be expressed as the original amount plus the interest, which can be written as:
P * (1 + 2.56/100) = 8833
Next, we'll solve for "P":
P = 8833 / (1 + 2.56/100)
P = 8833 / 1.0256
P ≈ 8610.10
So, Kori originally borrowed approximately $8,610.10 (rounded to the nearest cent).
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Related Questions
The expression (2a)4 is equivalent to
Answers
Answer:
2 is multiplied by -4 and then a4 is gone to the bottom
Answer:
4
Step-by-step explanation:
To make the exponent -4 put it over 1.
\(\frac{1}{(2a)^{4} }\)
\(\frac{1}{2^{4}a^{4} }\)
\(\frac{1}{2x2x2x2xaxaxaxa}\)
\(\frac{1}{16a^{4} }\)
Plzzzz help this is really important!!
Answers
Answer:
i cant see the question it wont load sorry
Step-by-step explanation:
Answer: REDO!
1) 452.16
2) 254.16
3) 314
4) 200.96
Ask for an explanation**
how do you answer this
Answers
Answer:
19 units
Step-by-step explanation:
count the squares around the shape for the slanted part treat it like a rectangle and just count the squares from the pointy spot to the other side where it stops
yeah if yall can get this correct, its 15 points
Answers
James has 27 metres of red wire and 12 metres
of black wire. He needs to cut both wires into
smaller pieces so that all of the smaller pieces are
the same length and there is no wire left over. The
length of each piece must be a whole number of
metres.
What is the longest he can make each smaller
piece of wire? Give your answer in metres (m).
Answers
Answer:
3m
Step-by-step explanation:
red wire = 27
black wire= 12
so, we take HCF (highest common factor)
which would be 3 so all the wires would be cut into 3m long.
I hope it helps.
Answer:2m
Step-by-step explanation:
as the factors of 12 are:1, 2, 3, 4, 6 and 12
and the factors of 26 are:1, 2, 13 and 26
so if you are talking meters 2 would be the longest
i hope you get this right x
22.
A map has a scale of 1 inch : 20 miles. If two
cities are 240 miles apart, how far apart are
they on the map?
NEED HELP FAST!!
Answers
Answer:
12
Step-by-step explanation:
1 inch = 20 miles
240 miles ÷ 20 miles =
12 inches
Answer:
12 inches
Step-by-step explanation:
Hey there!
Well to solve the given question we need to use fractions,
if 1 inch is 20 milles, we can set up the following.
\(\frac{1}{20} = \frac{x}{240}\)
Cross multiply
240 = 20x
Divide both sides by 20
x = 12
So it is 12 inches in the map.
Hope this helps :)
find the equation of a perpendicular line to y-3 passing through the coordinate 2,6?
Answers
The equation of the perpendicular line is x = 2.
The equation of the given line is y = -3. We have to find the equation of the line that is perpendicular to this line, and it passes through the coordinates (2, 6).
The general equation of a straight line is given below :
y = mx + c
The slope of the line is "m" and the y-intercept is "c".
Compare the equation of the given line. We find that the slope of the given line is zero. So, the slope of the perpendicular should be infinite or not defined.
The equation of the required line is given below :
x = c
The line passes through the point (2, 6).
2 = c
Thus, the equation of the line is x = 2.
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Which relation is NOT a function?
{(10, –4), (–10, 14), (14, –10)}
{(–4, –10), (–2, –4), (–10, –1), (–1, –7), (1, 10), (–3, –1)}
{(–4, 10), (14, 3), (15, 14), (10, 3)}
{(11, 16), (12, 14), (14, 14), (11, 13), (21, 12)}
Answers
{(11, 16), (12, 14), (14, 14), (11, 13), (21, 12)}
This is because the the number 11, an x-value, is used twice and if an x-value is used more than once then it is not a function. A function is a relation between sets where there is only one output for each input
Hank and Lynn are both paying off car loans. • Hank paid $2,000 upfront when he bought his car, and he pays $200 each month. • Lynn did not pay any money upfront when she bought her car, and she pays $275 each month. Is the relationship between the number of months and the total amount paid proportionally for both Hank's and Lynn's loans?
Look at picture up above... Then here’s the real question
B. A graph that shows the number of months and the total amount paid by hank would
1. Not be a straight line
2. Be a straight line that passes through the origin
3. Be a straight line that does not pass through the origin
C. A graph shows the number of months and the total amount paid by Lynn would
1. Not be a straight line
2. Be a straight line that passes through the origin
3. Be a straight line that does not pass through the origin
D. The relationship between a number of months and the total amount paid is proportional for
1. Lynn’s loan only
2. Both loans
3. Hanks loans
4. Neither loan
Please answer B, C, and D
Answers
Answer:
if you're doing the I-ready hope this help
Step-by-step explanation:
What are the linear equations for the lines passing through the following points (3,4) and (5,8)
Answers
Answer:
The equation of the line is y = 2x + 2
Step-by-step explanation:
Given:The two points are (3, 4) and (5, 8)To find:- Equation of a linear line Solution:-
Equation of a linear line can be placed in the format:
y = mx + cFormula for finding the slope(m):
\( \sf{}m = \frac{x- x_1}{y - y_1} = \frac{y_2 - y_1}{x_2 - x_1} \\ \\ \sf{}m = \frac{y_2 - y_1}{x_2 - x_1}\)
\( \sf{}m = \frac{8 - 4}{5 - 3} = \cancel \frac{4}{2} = 2\)
Form the intermediate equation:
y = mx + c
\( \mathtt{y = 2x + c}\)
Find the y-intercept:
Substitute (3,4) into the equation
\( : \longrightarrow \: \mathtt{y = 2x + c} \\ \\ : \longrightarrow \:\mathtt{4 = 2(3) + c} \\ \\ : \longrightarrow \: \mathtt{4 = 6 + c} \\ \\ : \longrightarrow \: \mathtt{c = 6 - 4} \\ \\ : \longrightarrow \: \mathtt{c = 2}\)
Form the equation:
\(: \longrightarrow \: \mathtt{y = 2x + c} \: \\ \\ \mathtt{putting \: values \: of \: c} \\ \\ : \longrightarrow \: \mathtt{y = 2x + 2}\)
The equation of the line is \(\underline\mathfrak\red{{{y = 2x + 2}}}\)
What is the solution to the equation One-fourth x + 2 = negative StartFraction 5 Over 8 EndFraction x minus 5? x = negative 8 x = negative 7 x = 7 x = 8
Answers
Answer:
i think its -8
Step-by-step explanation:
sean has a total of 60 books on his book shelf of these, 25 are mystery books, 20 are fantasy books, 10 are biography books, and 5 are science books.
Answers
Answer:
Step-by-step explanation:
total type of books are 4 types
the probability of one book is 60
so the probability of type of a book is 4/60=1/15
\( {7}^{2x + 3} = 1\)
Answers
Answer:
x = -3/2
Step-by-step explanation:
7⁰ = 1 (anything to the power of 0 equals 1)
7²ˣ ⁺ ³ = 7⁰
Since the bases are the same, you 'forget' about the bases and then you solve for x.
2x + 3 = 0
2x = -3
x = -3/2
HELP ASAP DUE LAST WEEK
Answers
Answer:
its 120 lol
do 3x10=30 and then 30x9=120
Answer:
The surface area is 294 inches squared
Step-by-step explanation:
9 x 3 = 27 x 2 = 54
10 x 3 = 30 x 2 = 60
9 x 10 = 90 x 2 = 180
54 + 60 + 180 = 294
Find the distance around the race track. use 3.1 for pi. 30m 100m
Answers
Answer:
293 m
Step-by-step explanation:
Split the figure into 3 parts :
Left semicircleCenter rectangleRight semicirclePerimeter of the left semicircle
P₁ = πrP₁ = 3.1 x 15 [half the diameter]P₁ = 46.5 mPerimeter of the right semicircle
It is the same perimeter of the left semicircle as the diameter is equalP₂ = 46.5 mPerimeter of the rectangle
Here we only need to consider the sum of the lengths of the rectangleP₃ = 2 x 100P₃ = 200Distance around the race track
P₁ + P₂ + P₃46.5 + 46.5 + 200293 mfactorise the following: 9x^2+3x^3
Answers
Answer:
3(x+3)x²
Step-by-step explanation:
Factor out 3
3(x²+x³)
Factor out x²
x²(3+x)
Rewrite the complete factored expression
3x²(x+3)
what is the next number in the sequence? 3….9….27….81….
Answers
Answer:
The next sequence is 243
The pattern is x 3
3 x 3 = 9
9 x 3 = 27
27 x 3 = 81
81 x 3 = 243
Step-by-step explanation:
You're welcome.
Elizabeth has a mask collection of 420 masks. She keeps 65% of the masks on her wall. How many masks does she keep on her wall?
Answers
The number of masks Elizabeth kept on the wall is 273.
How to find the number of mask she keeps on the wall?Elizabeth has a mask collection of 420 masks. She keeps 65 percent of the masks on her wall.
The number of mask she keeps on the wall can be calculated as follows:
Therefore,
number of mask she keeps on the wall = 65 percent of total mask collection
number of mask she keeps on the wall = 65% of 420
number of mask she keeps on the wall = 65 / 100 × 420
number of mask she keeps on the wall = 27300 / 100
Therefore,
number of mask she keeps on the wall = 273
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The 15 Chihuahua puppies ate 63 cups of food last week. If each puppy ate the same amount of food, how many cups of puppy food did each puppy eat?
15 StartLongDivisionSymbol 63.0 EndLongDivisionSymbol minus 60 = a remainder of 30 and a quotient of 4.blank.
How many cups of food did each puppy eat?
4 cups
4.1 cups
4.2 cups
4.ModifyingAbove 2 with bar cups
Answers
Answer:c 4.2 cups
Step-by-step explanation:
just do 63 divided 15
if h(x) = 6 5f(x) , where f(2) = 6 and f '(2) = 5, find h'(2). h'(2)
Answers
The value of h'(2) is 25
What is the chain rule?The chain rule is a fundamental rule in calculus that provides a method to differentiate composite functions.
A composite function is a function that is formed by taking the output of one function and using it as the input of another function.
For instance, if we have two functions f(x) and g(x), then the composite function h(x) can be defined as h(x) = f(g(x)), where g(x) is the input to f(x).
here we have
h(x) = √6 + 5f(x)
Derivative of h(x) with respect to x
h'(x) = d/dx (√6 + 5f(x))
h'(x) = d/dx (√6) + d/dx (5f(x))
h'(x) = 0 + 5f'(x)
h'(x) = 5f'(x)
Now substitute x = 2 and f'(2) = 5, to find h'(2)
h'(2) = 5f'(2)
h'(2) = 5(5)
h'(2) = 25
Therefore,
The value of h'(2) is 25
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Complete Question:
If h(x) = √6 + 5f(x), where f(2)= 6 and f'(2) = 5, find h'(2).
Construct A Truth Table For The Following: Xyz + X(Y Z)' + X'(Y + Z) + (Xyz)' (X + Y')(X' + Z')(Y' + Z') Using De Morgan's Law
Answers
To construct a truth table for the given logical expression using De Morgan's Law, we'll break it down step by step and apply the law to simplify the expression.
Let's start with the given expression:
Xyz + X(Y Z)' + X'(Y + Z) + (Xyz)' (X + Y')(X' + Z')(Y' + Z')
Step 1: Apply De Morgan's Law to the term (Xyz)'
(Xyz)' becomes X' + y' + z'
After applying De Morgan's Law, the expression becomes:
Xyz + X(Y Z)' + X'(Y + Z) + (X' + y' + z')(X + Y')(X' + Z')(Y' + Z')
Step 2: Expand the expression by distributing terms:
Xyz + XY'Z' + XYZ' + X'Y + X'Z + X'Y' + X'Z' + y'z' + x'y'z' + x'z'y' + x'z'z' + xy'z' + xyz' + xyz'
Now we have the expanded expression. To construct the truth table, we'll create columns for the variables X, Y, Z, and the corresponding output column based on the expression.
The truth table will have 2^3 = 8 rows to account for all possible combinations of X, Y, and Z.
Here's the complete truth table:
```
| X | Y | Z | Output |
|---|---|---|--------|
| 0 | 0 | 0 | 0 |
| 0 | 0 | 1 | 0 |
| 0 | 1 | 0 | 0 |
| 0 | 1 | 1 | 1 |
| 1 | 0 | 0 | 0 |
| 1 | 0 | 1 | 0 |
| 1 | 1 | 0 | 1 |
| 1 | 1 | 1 | 1 |
```
In the "Output" column, we evaluate the given expression for each combination of X, Y, and Z. For example, when X = 0, Y = 0, and Z = 0, the output is 0. We repeat this process for all possible combinations to fill out the truth table.
Note: The logical operators used in the expression are:
- '+' represents the logical OR operation.
- ' ' represents the logical AND operation.
- ' ' represents the logical NOT operation.
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What is the forecast for May using a five-month moving average?(Round answer to the nearest whole number.) Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47
A. 43 B. 47 C. 52 D. 38 E. 39
Answers
The forecast for May using a five-month moving average is 39 (Option E).
Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.
According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47
We have to add the sales of these five months, which gives:
27 + 40 + 42 + 41 + 47 = 197
To find the moving average for May, we divide this sum by 5:
197 / 5 = 39.4
Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.
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I really need help on this question, because I forgot of how to find the angle of each variable.
Answers
Answer:
a = 38 degree
b = 54 degree
c = 54 degree
Step-by-step explanation:
a = 180 - 142 = 38 ( angle on a straight line is equal to 180)
To determine the value of b, we have to find the other missing angle in the triangle.
the value of the missing angle is 38
Alternate angles are equal. the missing angle is alternate to angle b which has a value of 38
b = 180 - (38 + 88) = 54
c = 54
Triangle ABC is shown in the xy-coordinate plane. The triangle will be translated 2 units down and 3 units right to create triangle A'B'C'. Indicate whether each of the listed parts of the image will or will not be the same as the corresponding part in the preimage (triangle ABC) by selecting the appropriate box in the table.
Answers
The coordinates of A' and C' will not be the same. The perimeter and area of ΔA'B'C' will be the same. The measure of ∠B' and the slope of A'C' will be the same.
What is the transformation of a graph?Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.
If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).
As per the given translation,
2 units down and 3 units right
The coordinate will change as,(x,y) → (x+3,y-2) so it will change.
The transformation consists only of linear transformation no rotation exists thus area and perimeter will remain the same.
The slope and angle are unchanged irrespective of any transformation.
Hence "A' and C' will not have the same coordinates. The boundaries and surface area of ΔA'B'C' will be identical. The slope of A'C' and the measure of ∠B will be equal.".
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Plot the points (5, - 1), (1, - 1) and (- 3, - 1) What the equation of the line that goes through these points?
Answers
Answer:
x−8y=13
Step-by-step explanation:
The equation of the line passing through the points ( 5,-1) and (-3,-2) will be \(y = \dfrac{1}{8} x- \dfrac{13}{8}\).
What is an equation of the line?A line equation is defined as a linear equation with a degree of one. The line equation has two variables, x and y. The third parameter is the line's slope, which represents the line's elevation.
The following is the general form of the line equation:
y = mx + c
m = slope
c = y-intercept
\(m = \dfrac{y_2-y_1}{x_2-x_1}\)
Calculate the slope of the line:-
\(m = \dfrac{y_2-y_1}{x_2-x_1}\)
\(m = \dfrac{ -2 + 1 } { -3 - 5 }\)
\(m = \dfrac{1}{8}\)
The y-intercept will be:-
y = mx + c
\(-2 = \dfrac{-3}{8} + c\)
\(c = \dfrac{-13}{8}\)
The equation can be written as:-
y = mx + c
\(y = \dfrac{1}{8} x- \dfrac{13}{8}\)
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What is 8 1/8 divided by 5/6 as a fraction in simplest form??
Answers
39/4
its mixed from is 9 3/4
The solution of
20-12-
d -12 -15 is d 28
TRUE
FALSE
Answers
Answer:
TRUE
Step-by-step explanation:
6. What are the solutions for p2 - 16 = 0 ?
A) {-4,4} B) {4}
C) {-8, 8} D) {8}
Answers
Answer:
A
Step-by-step explanation:
Given
p² - 16 = 0 ( add 16 to both sides )
p² = 16 ( take the square root of both sides )
p = ± \(\sqrt{16}\) = ± 4
Thus solution is { - 4, 4 } → A
There are 180 girls in a mixed school. lf the ratio of girls is to boys is 4:3 , the total number of students in the school is what?
Answers
Answer:
315
Step-by-step explanation:
No. of girls be g
No. of boys be b
g= 180
g/b = 4/3
b = 3g/4
b= 3(180/4)
b= 3*45
b= 135
.
Find b+g
= 135 + 180
= 315
Expand the expression so there are no exponents. Write the variables side by side, do not write multiplication symbols, do not put any spaces. B^8
Answers
The expanded expression with no exponents is given as follows:
b x b x b x b x b x b x b x b.
How to intepret the expression?An exponential operation is equivalent to consecutive multiplication operations.
For example, the number 3 squared, that is, 3², is that three multiplies it-self once, as follows:
3² = 3 x 3 = 9.
Hence, for the number b^8, the number b multiplies itself 8 - 1 = 7 times, as follows:
b^8 = b x b x b x b x b x b x b x b.
Which is the equivalent expression.
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