Answers
Answer:
The mid point of the line segment is [tex]$ \bigg(- \frac{3}{2}, -\frac{3}{2} \bigg ) $[/tex].
Step-by-step explanation:
From the graph we can find the end points of the line segment. The end points are: [tex]$ (- 1, - 4) $[/tex] and [tex]$ (4, 1) $[/tex].
When the end points of a line segment are known, the mid point of the line segment is given by:
[tex]$ \bigg ( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \bigg ) $[/tex]
where [tex]$ (x_1, y_1) $[/tex] and [tex]$ (x_2, y_2) $[/tex] are the end points.
Here: [tex]$ (x_1, y_1) = (- 1, - 4) $[/tex] and [tex]$ (x_2, y_2) = (4, 1) $[/tex]
Therefore, the mid point of the line segment would be:
[tex]$ \bigg ( \frac{- 1 + 4}{2}, \frac{- 4 + 1}{2} \bigg) $[/tex]
[tex]$ \bigg(- \frac{3}{2}, -\frac{3}{2} \bigg ) $[/tex] is the required answer.
Related Questions
Analyze the following pattern
1, 2, 5, 10, 17,....
what's the 8th term of the pattern
Answers
Answer:
50
Step-by-step explanation:
Add the next odd number to get the next term
1
1+1=2
2+3 =5
5 + 5 = 10
10 + 7 = 17
17 + 9 = 26
26 + 11 = 37
37 + 13 = 50
Use substitution to determine the solution of the system of equations.
y = −2x − 7
2y − x = 1
A. (−1,0)
B. (212,−28)
C. (−6,−52)
D. (−3,−1)
Answers
Answer:
Option D is correct
( -3, -1 )
Step-by-step explanation:
equation 1 is
y = -2x -7
and equation 2 is
2y - x = 1
so from 1 we have y = -2x - 7 put in 2
2 ( -2x - 7 ) -x = 1
-4x - 14 - x = 1
- 5x = 1 + 14
X = 15/-5
X= - 3
put in equation 1
Y = - 2 ( -3) - 7
Y= 6 - 7
Y = - 1
Solution of the given equations D.[tex]\boldsymbol{(-3,-1)}[/tex].
An equation is a mathematical expression that contains an equals symbol.
Given equations are as follows:
[tex]y=-2x-7[/tex]
[tex]2y-x=1[/tex]
Put value of [tex]\boldsymbol{y}[/tex] from the first equation to the second equation.
[tex]2(-2x-7)-x=1[/tex]
[tex]-4x-14-x=1[/tex]
[tex]-5x=15[/tex]
[tex]x=-3[/tex]
Now, put value of [tex]x[/tex] in the equation [tex]2y-x=1[/tex].
[tex]2y-(-3)=1[/tex]
[tex]2y=-2[/tex]
[tex]y=-1[/tex]
Option D. is correct.
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Select the appropriate terms from the drop down boxes below to correctly complete the statement.
The quadrilaterals are similar because quadrilateral FGHJ is the image of quadrilateral ABCD under a dilation with a center of
Answers
Answer: The quadrilaterals are similar because quadrilateral FGHJ is the image of quadrilateral ABCD under a dilation with a center of.....
all of it! it school! very inappropriate!
Step-by-step explanation: it looks like it's inappropriate
Answer:
all
Step-by-step explanation:
Which graph represents the solution set of the compound inequality Negative 4 less-than-or-equal-to 3x minus 1 and 2 x + 4 less-than-or-equal-to 18?
A number line goes from negative 10 to positive 10. A closed circle appears at negative 1 and positive 7. The number line is shaded from negative 1 to positive 7.
A number line goes from negative 10 to positive 10. A closed circle appears at negative 7 and positive 1. The number line is shaded from negative 7 to positive 1.
A number line goes from negative 10 to positive 10. A closed circle appears at negative 1. The number line is shaded from negative 1 toward negative 10.
A number line goes from negative 10 to positive 10. A closed circle appears on positive 7. The number line is shaded from positive 7 toward positive 10.
Answers
Answer:
A number line goes from negative 10 to positive 10. A closed circle appears at negative 1 and positive 7. The number line is shaded from negative 1 to positive 7.
Step-by-step explanation:
The set of compound inequality are - 4 ≤ 3x - 1 and 2x + 4 ≤ 18.
Now, - 4 ≤ 3x - 1
⇒ 3x ≥ - 3
⇒ x ≥ - 1
And, 2x + 4 ≤ 18
⇒ 2x ≤ 14
⇒ x ≤ 7
Therefore, the solution will be 7 ≥ x ≥ - 1
Hence, the graph that shows the solution is 'a number line goes from negative 10 to positive 10. A closed circle appears at negative 1 and positive 7. The number line is shaded from negative 1 to positive 7'. (Answer)
Answer:
Graph A is your answer.
Step-by-step explanation:
What is 4f - 24 + 4f = -8
Answers
Answer:
F = 2
Step-by-step explanation:
4f-24+4f=-8
collect like terms
8f-24=-8
move constant to the right
8f=-8+24
calculate
8f=16
divide both sides by 8
Answer F = 2
3/8s of the students in Ms Mull’s class ride the bus. If there are 24 students in the class how many students ride the bus?
Answers
Answer:
9
Step-by-step explanation:
to work this out you would divide the class by the denominator and then multiply by the numerator.
24÷8=3
3×3=9
Hadley has 3/6 of a box of white envelopes and 1/3 of a box of gray envelopes. When full, each box of envelopes has the same number of envelopes. Hadley said she has 4/9 of a box when she puts the white envelopes and gray envelopes together. Which statements describe this situation? Select the two statements that apply.
A. Hadley’s answer is incorrect, because 3/6 is equal to 1/2 , and 4/9 is less then 1/2 .
B. Hadley's answer is incorrect, because 3/6 plus 1/3 equals 5/6.
C. Hadley's answer is incorrect, because 3/6 plus 1/3 equals 2/6 .
D. Hadley's answer is correct, because 3 and 1 is 4, and 6 and 3 is 9.
PLS HELP I WILL MARK BRAINLIST IF CORRECT !! :) SELECT 2 ANSWERS !!
Answers
Answer:
The two statements that apply are A and B.
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
White envelopes Hadley has = 3/6 of a box
Gray envelopes Hadley has = 1/3 of a box
When full, each box of envelopes has the same number of envelopes
Hadley said she has 4/9 of a box when she puts the white envelopes and gray envelopes together.
2. Which statements describe this situation? Select the two statements that apply.
Let's add 3/6 and 1/3
3/6 + 1/3 = 3/6 + 2/6 = 5/6
A. Hadley’s answer is incorrect, because 3/6 is equal to 1/2 , and 4/9 is less then 1/2 . This is correct.
B. Hadley's answer is incorrect, because 3/6 plus 1/3 equals 5/6. This is correct.
C. Hadley's answer is incorrect, because 3/6 plus 1/3 equals 2/6. This is wrong
D. Hadley's answer is correct, because 3 and 1 is 4, and 6 and 3 is 9. This is wrong.
The two statements that apply are A and B.
Answer: Answer:
The two statements that apply are A and B.
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
White envelopes Hadley has = 3/6 of a box
Gray envelopes Hadley has = 1/3 of a box
When full, each box of envelopes has the same number of envelopes
Hadley said she has 4/9 of a box when she puts the white envelopes and gray envelopes together.
2. Which statements describe this situation? Select the two statements that apply.
Let's add 3/6 and 1/3
3/6 + 1/3 = 3/6 + 2/6 = 5/6
A. Hadley’s answer is incorrect, because 3/6 is equal to 1/2 , and 4/9 is less then 1/2 . This is correct.
B. Hadley's answer is incorrect, because 3/6 plus 1/3 equals 5/6. This is correct.
C. Hadley's answer is incorrect, because 3/6 plus 1/3 equals 2/6. This is wrong
D. Hadley's answer is correct, because 3 and 1 is 4, and 6 and 3 is 9. This is wrong.
Step-by-step explanation: A B
Find the exact values below. If applicable, click on "Undefined".
cot 7pi/6
Answers
Answer:
√3
Step-by-step explanation:
We cannot solve this operation directly. Because cot7pi/6 is undefined.
We know that 1/tan= cot.
so we will first take the reciprocal of cot that is 1/tan.
So,
cot7pi/6= 1/tan 7π/6
∵7π/6 = 210 where pi=180
so cot7π/6 =1/tan210
cot7π/6 =1/1÷√3
cot7π/6 = √3
which point is a solution to the equation Y = 4x - 5
A. (-3,-17) B. (4,7) C. -2,-18) D. (3,17)
Answers
Answer:
A
Step-by-step explanation:
To determine which point is a solution, substitute the x- coordinate into the equation and if the value obtained agrees with the y- coordinate of the point then it is a solution.
A (- 3, - 17)
y = 4(- 3) - 5 = - 12 - 5 = - 17 ← (- 3, - 17) is a solution
B (4, 7)
y = 4(4) - 5 = 16 - 5 = 11 ≠ 7 ← not a solution
C (- 2, - 18)
y = 4(- 2) - 5 = - 8 - 5 = - 13 ≠ - 18 ← not a solution
D (3, 17)
y = 4(3) - 5 = 12 - 5 = 7 ≠ 17 ← not a solution
Greatest Common Factor (GCF)
1. 12a - 27
Answers
Answer:
3
Step-by-step explanation:
The factors of 12a are ...
2×2×3×a
The factors of 27 are ...
3×3×3
The only common factor is 3.
_____
12a -27 = 3(4a -9)
Final answer:
The Greatest Common Factor (GCF) of the expression 12a - 27 is 3, since 3 is the highest number that divides evenly into both 12 and 27 with no common variables present.
Explanation:
To find the Greatest Common Factor (GCF) of the expression 12a - 27, you look for the highest number and any variables that divide evenly into both terms. Note that 12 and 27 can both be divided by 3. Therefore, 3 is a common factor. Since there are no more common variables or higher factors, the GCF of 12a and 27 is simply 3.
To calculate the GCF, divide each term by 3:
12a ÷ 3 = 4a
27 ÷ 3 = 9
While the expression is factored as 3(4a - 9), the GCF is just the number 3.
A company rents bicycles for a few of $10 plus $4 per hour of use. Write an algebraic expression for the total cost in dollars for renting a bicycle for h hours.
Answers
Answer: Cost(c) t（time)
c=10+4t
Step-by-step explanation:
If you knew that two angles were complementary and were given the measure of one of those angles, would you be able to find the measure of the other angle? Explain your reasoning.
Answers
If we knew that two angles were complementary and were given the measure of one of those angles, then we can find the measure of the other angle by subtracting the given measure of one angle from 90
Solution:
Given that,
If you knew that two angles were complementary and were given the measure of one of those angles, would you be able to find the measure of the other angle
Yes we can find the measure of another angle
Complementary angles:
Complementary angles are two angles whose sum is 90 degrees
Therefore, if measure of one angle is given, then we can find the measure of another angle
Measure of another angle = 90 - measure of one angle
Example:
If x and y are complementary angles
Given that measure of angle x is 45 degrees
Then we can say,
According to complementary angles definition
x + y = 90
45 + y = 90
y = 90 - 45
y = 45
Thus measure of other angle y is found to be 45 degrees
Knowing the measure of one angle in a pair of complementary angles allows you to find the measure of the other angle because the sum of their measures is equal to 90 degrees.
Explanation:Yes, you would be able to find the measure of the other angle. This is because in geometry, two angles are said to be complementary if the sum of their measures is equal to 90 degrees. Thus, knowing the measure of one angle allows you to find the measure of the other angle by subtracting the known angle from 90.
For instance, if you were told one angle measures 35 degrees and you know the two angles are complementary, you could calculate the measure of the other angle as follows: 90 - 35 = 55 degrees. So, the other angle measures 55 degrees.
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Fractions to percentage
Answers
Answer:
If u want to change fraction into percentage then multiply it with 100.for eg.83/90*100%
jamal ate 1/4 bag of peanuts. his 3 friends ate equal shares of the remaining peanuts. which expression represents the peanuts that each friend ate?
Answers
Answer:
4/4-1/4 is 3/4 so 3/4 divided by 3 is 1/4 bag of peanuts per friend.
Step-by-step explanation:
To find the expression that represents the peanuts that each friend ate, start with the fraction representing the remaining peanuts after Jamal ate 1/4 bag, which is 3/4. Divide the remaining peanuts equally among the 3 friends by dividing the fraction 3/4 by 3, which gives us 1/4. Therefore, each friend ate 1/4 of the peanuts.
Explanation:To find the expression that represents the peanuts that each friend ate, we need to follow the steps:
Start with the fraction representing the remaining peanuts after Jamal ate 1/4 bag, which is 1 - 1/4 = 3/4.Divide the remaining peanuts equally among the 3 friends. This can be done by dividing the fraction 3/4 by 3, which gives us (3/4) / 3 = 1/4.Therefore, the expression that represents the peanuts that each friend ate is 1/4.
Donato is 6 feet 2 inches tall. His sister is 68 inches tall. Donato is how many inches taller.
Answers
After converting Donato's height to all inches (74 inches), we subtract his sister's height (68 inches) to find that Donato is 6 inches taller.
Explanation:The question asks us to compare the heights of Donato and his sister to find out how much taller Donato is. First, we need to convert Donato's height from feet and inches to just inches. There are 12 inches in a foot, so Donato's height in inches is 6 feet imes 12 inches/foot + 2 inches, which equals 74 inches. Donato's sister is 68 inches tall. To find the difference in height, we subtract the sister's height from Donato's: 74 inches - 68 inches = 6 inches. Therefore, Donato is 6 inches taller than his sister.
The area of a square garden is 98m squared. How long is the diagonal?
Answers
Answer:
diagonal is 14 m
Step-by-step explanation:
We are given;
The area of a square garden as 98 m²We are required to determine the diagonal of the square.
We know that;
Area of a square = s² , where s is the side of the square
Therefore;
s² = 98
Thus;
s = √98
To get the diagonal
s² + s² = diagonal squared
Hence;
Diagonal squared = (√98)² + (√98)²
= 98 + 98
= 196
Thus;
Diagonal = √196
= 14 m
Thus, the diagonal is 14 m
write an equation of the line with a slope of 3 and a y-intercept of -3.
Answers
Answer:
solution is
y + 3 = 3(x - 0)
y + 3 = 3x - 0
y = 3x - 3
Two arcs of concentric circles are intercepted by the same central angle. The resulting arc length of the arc of the smaller circle is 36 ft and radius is 30 ft. The radius of thr larger circle is 45 ft. Find tye length of the corresponding arc of the larger circle.
Answers
The length of the corresponding arc of the larger circle = 54 ft.
Step-by-step explanation:
step 1 :
"Concentric circles" have same center but different radius.So, the angle formed by the arcs of the two circles with same center will also be same.step 2 :
Small circle :
Length of the arc = 36 ftRadius of the circle = 30 ftArc length = (∅/360)2πr
where,
∅ = arc angle
π = 3.14
r = radius of circle
step 3 :
Arc length = (∅/360)2[tex]\times[/tex]3.14[tex]\times[/tex]30
⇒ 36 = (∅/360)[tex]\times[/tex]188.4
⇒ ∅ = 36[tex]\times[/tex]360 / 188.4
∅ = 68.79
step 4 :
Large circle :
Radius of large circle = 45 ftThe arc angle, ∅ = 68.79Arc length = (∅/360)2πr
= (68.79/360) 2[tex]\times[/tex]3.14[tex]\times[/tex]45
Arc length = 54 ft
What’s the answer to sin 36/85
Answers
Last year Luis read 187 books. This year he read 224 books. Next year he wants to read 285 books. If Luis reaches his goal , how many books will Luis have read
Answers
-
Luis would have read 696 books if he reaches his reading goal for the next year.
Select the correct graph of −4x + 3y = 6. (1 point)
Answers
Answer:
[tex]Line\ passing\ through\ (-1.5,0)\ and\ (0,2).\\\\Correct\ graph\ is\ attached.[/tex]
Step-by-step explanation:
[tex]The\ given\ equation\ represents\ a\ line\\\\[/tex]
y-intercept:
[tex]Substitute\ x=0\\\\-4\times 0+3y=6\\\\3y=6\\\\y=\frac{6}{3}\\\\y=2\\\\The\ line\ passes\ through\ the\ point\ (0,2).[/tex]
x-intercept:
[tex]Substitute\ y=0\\\\-4x+3\times 0=6\\\\-4x=6\\\\x=-\frac{6}{4}\\\\x=-1.5\\\\The\ line\ passes\ through\ the\ point\ (-1.5,0).[/tex]
The correct graph is attached.
(–5, –6) a solution to this system of e
quations? 12x − 8y = –12 7x − 6y = 1
Answers
What is 8/12 as a whole number & unit fraction
Answers
Answer:
1/4
Step-by-step explanation:
The fraction 8/12 simplifies to 2/3. The whole number is 0, and the unit fraction is 2/3, which can be expressed as the sum of two unit fractions, 1/2 and 1/6.
Explanation:The fraction 8/12 can be simplified to a whole number and a unit fraction. First, divide both the numerator and denominator by their greatest common divisor, which is 4. This yields the simplified fraction 2/3. Thus, the whole number is '0' and the unit fraction is '2/3' as 2/3 is less than 1 and cannot be represented as a whole number. A unit fraction is a fraction where the numerator is '1'. Although 2/3 is not a unit fraction itself, it can be expressed as the sum of two unit fractions, '1/2 + 1/6'.
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suppose that phil had decided to take out a private loan for $9,000 where loan payments start as soon as the loan amount is deposited in his student account and continue for 10 years.the interest rate is 8.1% what is the total amount he will pay back?
Answers
The total amount he will pay back=$16290
Step-by-step explanation:
Given, Phil had decided to take out a private loan for $9,000 where loan payment start as soon as the loan amount is deposited in his student account for 10 year. The interest rate is 8.1% .
P =$ 9,000 r = 8.1% and t = 10 years
Simple interest
Interest(I) [tex]= \frac{P\times r \times t}{100}[/tex]
[tex]=\$\frac{9000\times 8.1 \times 10}{100}[/tex]
[tex]=\$ 7290[/tex]
The total amount he will pay back =$(7290 + 9,000)=$16290
Final answer:
To calculate the total amount Phil will pay back on a $9,000 private loan with 8.1% interest over 10 years, multiply the principal by (1 + interest rate) raised to the number of years. The total amount paid back is $17,925.56.
Explanation:
To calculate the total amount Phil will pay back, we need to calculate the loan payments for 10 years. First, we can calculate the annual payment using the formula:
Annual Payment = Principal x (1 + Interest Rate)^Number of Years
Substituting in the values Principal = $9,000, Interest Rate = 8.1% (or 0.081), and Number of Years = 10, we have:
Annual Payment = $9,000 x (1 + 0.081)^10 = $9,000 x 1.991729 = $17,925.56
Therefore, the total amount Phil will pay back over 10 years is $17,925.56.
Write an exponential function to model the following situation.
A population of 140,000 grows 5% per year for 16 years.
How much will the popluation be after 16 years?
Write an exponential function in terms of x.
y=
0
Write an exponential function in terms of x
Answers
Answer:
Part 1) The exponential function is [tex]y=140,000(1.05)^x[/tex]
Part 2) [tex]305,602\ people[/tex]
Step-by-step explanation:
Part 1) Write an exponential function
we know that
The exponential growth function is given by the formula
[tex]y=a(1+r)^x[/tex]
where
y is the population
x is the number of years
a is the initial population
r is the rate of change
we have
[tex]a=140,000\ people\\r=5\%=5/100=0.05[/tex]
substitute
[tex]y=140,000(1+0.05)^x[/tex]
[tex]y=140,000(1.05)^x[/tex]
Part 2) How much will the population be after 16 years?
For x=16 years
substitute the value of x in the exponential function
[tex]y=140,000(1.05)^{16}=305,602\ people[/tex]
An exponential function to model the population growth of 5% per year from an initial population of 140,000 after 16 years is y = 140,000(1 + 0.05)^x. After substituting x with 16, you calculate the growth and multiply by the initial population to find the population size after 16 years.
Explanation:To model the population growth in this scenario, we use an exponential growth function. The formula for exponential growth is y = P(1 + r)^t, where y is the final amount, P is the initial principal balance, r is the rate of interest, and t is the number of time periods the interest is applied. In this case, the population P is 140,000, the growth rate 'r' is 5% (or 0.05 when expressed as a decimal), and the number of years 't' is 16.
The exponential function in terms of 'x' (where 'x' represents the number of years) will be: y = 140,000(1 + 0.05)^x.
After plugging in 't' as 16 years, we calculate the population after 16 years as follows: y = 140,000(1 + 0.05)^16. Now we calculate the growth factor (1 + 0.05)^16 and multiply this by the initial population of 140,000 to determine the population after 16 years.
What is the slope of the line represented by the equation f(x) = -3x + 7?
Answers
When we look at both equations, m=-3 because -3 lines up with m.
To find the slope of this particular number, you would need to put a 1 under -3 to make it a fraction. (-3/1)
Since the fraction three over one is negative, this will be a negative slope.
Starting at y=7 , or the point (0,7) (y intercept will be interpreted as “b” in this equation) you would need to go DOWN 3 units (boxes) , and RIGHT 1.
Once you’ve plotted at least 3 points, take a straight edge, connect the dots and extend the line. Don’t forget to put arrows at the end of the line!!
Answer:
Step-by-step explanation:
.........................................................................................
Answers
Answer:
...................................../................................................................
Step-by-step explanation:
......................................................................................
3b+14 b=0
random stuff cuz need to reach limit
Answers
[tex]\text{Hey there!}[/tex]
[tex]\mathsf{If\ b = 0\ then\ replace\ b\ in\ the\ equation\ with\ 0\ to\ make\ it\ easier\ to\ solve}[/tex]
[tex]\mathsf{New\ equation: 3(0)+ 14}[/tex]
[tex]\mathsf{3(0) + 14=\ ?}\\\mathsf{3(0) = 0}\\\mathsf{0+14=?}\\\mathsf{0+14=14}\\\boxed{\boxed{\bf{Answer:\mathsf{14}}}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
B = 0
You solved it thx for the points :v
Sales Tax
nbsp Selling Price nbsp
nbsp Rate of Sales Tax nbsp
nbsp Sales Tax nbsp
$70.00
3%
?
Answers
1) To find the sales tax, 70 is your 100%
So since you’re trying to find the sales tax, you add the 3% to the 100%, which gets you to 103%.
2) Now you turn 103 to a decimal (if you want to. This is my preferred option to make this easier)
3) 103 turns into 1.03.
4) Now you multiply 70 and 1.03.
Answer: $72.10
The sales tax for an item priced at $70.00 with a tax rate of 3% is $2.10. This can be found by multiplying the selling price by the tax rate.
Explanation:To find the amount of sales tax, you can multiply the selling price by the rate of sales tax. In your case, the selling price is $70.00 and the rate of sales tax is 3%. So, your calculation will look like this: $70.00 * 0.03 (because 3% is the same as 0.03 when used in a calculation). The result of this multiplication will be the amount of sales tax. So, the sales tax for an item which costs $70.00 at a tax rate of 3% is $2.10.
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Nancy opened a savings account 7 years ago. The account earns 5% interest, compounded quarterly. If the current balance is $1,000.00, how much did she deposit initially?
Answers
The amount deposited initially is $ 706.22
Solution:
The formula for amount using compound interest is given as:
[tex]A = p(1+\frac{r}{n})^{nt}[/tex]
Where,
A = the future value of the investment/loan, including interest
P = the principal investment amount (the initial deposit or loan amount)
r = the annual interest rate (decimal)
n = the number of times that interest is compounded per unit t
t = the time the money is invested or borrowed for
From given,
t = 7 years
A = 1000
P = ?
[tex]r = 5 \% = \frac{5}{100} = 0.05[/tex]
n = 4 (since compounded quarterly)
Substituting the values we get,
[tex]1000 = p(1+\frac{0.05}{4})^{4 \times 7}\\\\1000 = p(1+\frac{0.05}{4})^{28}\\\\1000 = p(1+0.0125)^{28}\\\\1000 = p(1.0125)^{28}\\\\1000 = p \times 1.4159923\\\\p = \frac{1000}{1.4159923}\\\\p = 706.2185 \approx 706.22[/tex]
Thus amount deposited initially is $ 706.22