Given:
The equation of line is
[tex]y=-3x+2[/tex]
To find:
The equation of line parallel to given line and passes through (-5,-8).
Solution:
Slope intercept form of a line is
[tex]y=mx+b[/tex]
where, m is slope and b is y-intercept.
On comparing the equation [tex]y=-3x+2[/tex] with the slope intercept form, we get
[tex]m=-3[/tex]
Slope of given line is -3.
Slope of two parallel lines are same. So, the slope of parallel line is -3.
Equation of line passes thorough the point (-5,-8) with slope -3 is
[tex]y-y_1=m(x-x_1)[/tex]
where, m is slope of the line.
[tex]y-(-8)=-3(x-(-5))[/tex]
[tex]y+8=-3(x+5)[/tex]
[tex]y+8=-3x-15[/tex]
Subtract 8 from both sides.
[tex]y=-3x-15-8[/tex]
[tex]y=-3x-23[/tex]
Therefore, the equation of required line is [tex]y=-3x-23[/tex].
Occasionally a savings account may actually pay interest compounded continuously. For each deposit, find the interest earned if interest is compounded (a) semiannually, (b) quarterly, (c) monthly, (d) daily, and (e) continuously. Use 1 year=365 days
1. Occasionally a savings account may actually pay interest compounded continuously. For each deposit, find the interest earned if interest is compounded (a) semiannually, (b) quarterly, (c) monthly, (d) daily, and (e) continuously. Use 1 year = 365 days.
Principal $1031
Rate 1.4%
Time 3 years
Answer:
a) $ 44.07
b) $ 44.15
c) $ 44.20
d) $ 44.22
e) $ 44.22
Step-by-step explanation:
The formula to find the total amount earned using compound interest is given as:
A = P(1 + r/n)^nt
Where A = Total amount earned after time t
P = Principal = $1031
r = Interest rate = 1.4%
n = compounding frequency
t = Time in years = 3 years
For each deposit, find the interest earned if interest is compounded
(a) semiannually
This means the interest is compounded 2 times in a year
Hence:
A = P(1 + r/n)^nt
A = 1031(1 + 0.014/2) ^2 × 3
A = 1031 (1 + 0.007)^6
A = $ 1,075.07
A = P + I where
I = A - P
I = $1075.07 - $1031
P (principal) = $ 1,031.00
I (interest) = $ 44.07
(b) quarterly
This means the interest is compounded 4 times in a year
Hence:
A = P(1 + r/n)^nt
A = 1031(1 + 0.014/4) ^4 × 3
A = 1031 (1 + 0.014/4)^12
A = $ 1,075.15
I = A - P
I = $1075.15 - $1031
A = P + I where
P (principal) = $ 1,031.00
I (interest) = $ 44.15
(c) monthly,
This means the interest is compounded 12 times in a year
Hence:
A = P(1 + r/n)^nt
A = 1031(1 + 0.014/12) ^12 × 3
A = 1031 (1 + 0.014/12)^36
A = $ 1,075.20
A = P + I where
I = A - P
I = $1075.20 - $1031
P (principal) = $ 1,031.00
I (interest) = $ 44.20
(d) daily,Use 1 year = 365 days
This means the interest is compounded 365 times in a year
Hence:
A = P(1 + r/n)^nt
A = 1031(1 + 0.014/365) ^2 × 3
A = 1031 (1 + 0.00365)^365 × 3
A = $ 1,075.22
A = P + I where
I = A - P
I = $1075.22 - $1031
P (principal) = $ 1,031.00
I (interest) = $ 44.22
(e) continuously. .
This means the interest is compounded 2 times in a year
Hence:
A = Pe^rt
A = 1031 × e ^0.014 × 3
A = $ 1,075.22
A = P + I where
I = A - P
I = $1075.22 - $1031
P (principal) = $ 1,031.00
I (interest) = $ 44.22
Quick I need the answer
Answer:
x = 25!
Hope This Helps!
TWENTY PIONTS!!!!! what completes the prime factorization of 315
Answer:
Positive Integer factors of 315 = 3, 9, 5, 45, 7, 315 divided by 3, 3, 5, 7, gives no remainder. Step-by-step explanation:
find the missing side
C=
Answer:
C = 10
Step-by-step explanation:
[tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex]
[tex]6^{2}[/tex] + [tex]8^{2}[/tex] = 100
[tex]\sqrt{100}[/tex] = 10
What is the graph of the given function?
f(x) = -2(x – 3)2 + 4
Graph
Answer:
the graph attached is the answer
Brainliest!!!!!!!
12(7y+4)
[tex]{\huge{\boxed{\mathcal{\green{ANSWER}}}}} \\ \\ 12(7y + 4) = 0 \\ \\ 84y + 48 = 0 \\ \\ 84y = - 48 \\ \\ y = - 48 \div 84 \\ \\ y = - 0.571 \\ \\ {\huge{\boxed{\mathfrak{\pink{hope \: it \: helps}}}}}[/tex]
The equation 125 + 37.52x = y models the amount of money in your wallet Y is the total amount of dollars and x is the number of weeks from today. Is the equation in slope intercept form? Explain
If you graphed this situation what would the slope represent? Explain
If you graphed this situation what would the y intercept be and what would it represent?
What units make sense for the slope?
Answer:
Please check solution for answer
Step-by-step explanation:
The general equation of for the slope of a line is
y = mx + c
where m is slope and c is the y-intercept
a). Yes it is in the slope-intercept form
b) The slope would represent the amount of money in dollars per week that is in the wallet
c) The y-intercept would be 125 and it is the amount of money present in the wallet before today
d) The slope would have a unit of dollars per week
Giving brainlest to the correct answer
Answer:
The percentage of people surveyed that were satisfied with the car is 55%.
Step-by-step explanation:
1,100/2,000=0.55*100= 55%
Please help!!!! With 8 and 9
Answer:
8. slope: = 1/2
9. equation: y=1/2x
please help and don’t answer if you don’t know
Answer:
2 6
4 20
10 110
-3 6
5 30
7 56
1 2
[tex]rule \: \: y = {x}^{2} + x[/tex]
Step-by-step explanation:
First thing to do is look for a pattern with the current data. What I found was the pattern, ahich is the rule. See below.
[tex]y = {x}^{2} + x[/tex]
Now insert the given values for x and y into the rule.
[tex]y = - {3}^{2} - 3 \\ y = 6 \\ \\ 30 = {x}^{2} + x \\ x = 5 \\ \\ y = {1}^{2} + 1 \\ y = 2[/tex]
Please answer the question below
Answer:
19
Step-by-step explanation:
88 x 88/22 x 11 x 11
Answer:
42592
Step-by-step explanation:
Answer:42592
Step-by-step explanation: So what you do is do 88 times 88/22 and so on :)
5h + 10 = 4h + h + 15
Answer:
h = no solution
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
5h + 10 = 5h + 15
Step 2: Solve for h
Subtract 5h on both sides: 10 ≠ 15Here we see that 10 does not equal 15.
∴ h has no solution.
Final Answer: No Solution
Steps/Reasons:
Step 1: Simplify [tex]4h + h + 15[/tex] to [tex]5h + 15[/tex].
[tex]5h + 10 = 5h + 15[/tex]
Step 2: Cancel [tex]5h[/tex] from both sides.
[tex]10 = 15[/tex]
Step 3: Because [tex]10 = 15[/tex] is false, there is no solution.
No Solution
~I hope I helped :)~
please help first will be brainliest
Answer:
Just multiply or divide the numbers they give you try both
Step-by-step explanation:
Please help me, i can't get this question wrong, please and thank you.
Determine the intercepts of the line. -5x+9y=-18
Answer:
x-intercept = (18/5,0)
y-intercept = (0,-2)
Step-by-step explanation:
I graphed it and found the intercepts
brainliest would be great
She needs to find her maximum heart rate m by subtracting her age a from 220 write an equation she can use
Answer:
220 - a = m
Step-by-step explanation:
her age is the variable "a"
what is 3,910 divided by 25 using the power of 10
A: 25
B: 250
C: 25,000
Answer:
izuocha is superior
Step-by-step explanation:
Answer:
ochaochaochaocha
Step-by-step explanation:
sorry i trying to get attention from someone
How long will it be from December 18 from 8:25 am to December 24 to 4.30 pm
Kim reads 360 words in 3 minutes. It Kim continues to read at the same rate, how many words can she rend in 1 hours?
Answer:
7200 word in 1 hour
Step-by-step explanation:
360/3 to get how many words she can read in a minute which is 120.
Then times it by 60 (60 mins in an hour) to get the total amout of words she reads in an hour. 120 x 60 = 7200 words.
Which is the solution to this system of equations?
x - 2y= 15
2x + 4y = -18
can anyone do division on paper plsss
Answer:
738.75
Step-by-step explanation:
i hope this helps im sorry if im wrong
Step 1: D for Divide. How many times will 80 go into 59100 ? ...
Step 2: M for Multiply. You multiply your answer from step 1 and your divisor: .
Step 3: S for Subtract. Next you subtract. ...
Step 4: B for Bring down. ...
Step 1: D for Divide. ...
Step 2: M for Multiply. ...
Step 3: S for Subtract.
For the sequence an
4n + 7, which term number is 335?
Help. Will give brainliest :)
Jill has a photograph that is 4 inches wide by 6 inches high. If she enlarges it so that the width is 12
inches, what will be the height?
Answer:
18 inches!
Step-by-step explanation:
Since you are multiplying the original size by 3 times (4 in. originally • 3 = 12 inches) you just multiple the original height by 3 (6•3=18)
hope this helped!
Write the first ten terms of a sequence whose first term is -10 and whose common difference is -2. PLS ANSWER CORRECT ANSWER WILL GET BRAINLIEST 100 POINTSSS
Answer:
T
n
+
1
=
T
n
+
d
T
1
=
a
Where the first term is equal to
a
and the common difference is
d
.
Option a can be expressed as follows:
T
n
+
1
=
T
n
+
4
T
1
=
1
Option c can be expressed as follows:
T
n
+
1
=
T
n
−
4
T
1
=
1
Hence both are arithmetic sequences (the other two options are geometric sequences with common ratios of 4 and 0.25 respectively)
Hope that helps :)
Step-by-step explanation:
Consider vectors u and v, where u = (1, -1) and v = (1, 1). What is the measure of the angle between the vectors?
Answer:
I believe the answer is C. 90 degrees
Step-by-step explanation:
First you find the lengths of the two vectors, which are both [tex]\sqrt{2}[/tex]. Then you find the angle given the cos using: cos(∅)=[tex]\frac{u*v}{|u|*|v|}[/tex] = [tex]\frac{0}{\sqrt{2}*\sqrt{2} }[/tex] = 0. Then using ∅=acos(0)=[tex]\frac{\pi }{2}[/tex] = 90°
Answer:
c
Step-by-step explanation:
edge
Find the slope (3,6)
(3,-3) need in 5 minutes
Answer: The slope is undefined.
Step-by-step explanation:
Using the formula given, find the difference in the y coordinates of the points and divide it by the x coordinates.
(3,6)
(3,-3)
y coordinates: 6 - (-3) = 9
x coordinates: 3- 3 = 0
9/0 = undefined.
Any number being divided by 0 is undefined because you can't divide something by anything.
Also remember that if a line is vertical through any of the x coordinate, the slope will always be undefined and the equation of line is x = 3
Use the graph below to answer the question.
On a coordinate plane, a horizontal line is at y = 4.
What is the slope of a line that is parallel to the line in the graph?
Answer:
0
Step-by-step explanation:
edg 2020
Answer:
0
Step-by-step explanation:
if its parallel then its gonna be the same slope
Learning Task 2 without graphing tell whether the graphs of the system of equations are parallel, perpendicular,intersecting or coinciding
1.y = x + 7 and y = - x + 2
2.Y = 5x and y = 5x - 1
3. 2x + y = 1 and 2y + 4x = 2
4. Y = 2x + 3 and y = -x - 4
Answer:
1.Perpendicular
2. Parallel
3. Parallel
4.
Step-by-step explanation:
If two lines are parallel, slope is equal
If perpendicular, product of slopes is -1
y = mx + c is the general equation of a line form
m represents slope
1. slope is -1 and 1, they are perpendicular
2. Slope is 5 in both cases, they are parallel
3. slope is equal; equation ii is same as i if rewritten
They are parallel
4.
PLS HELP 20 POINTS DUE IN TMR