Answer:
The first amount invested at 3%= x = $7500
The second amount Invested at 5% = y = $17500
Step-by-step explanation:
Juelle had $25,000 to invest.
She invested part of that amount at 3% interest and part at 5% interest for one year.
The amount of interest she earned for both investments was $1100.
The formula for Simple Interest =
Principal × Rate × Time
Let us represent
The first amount invested at 3%= x
The second amount Invested at 5% = y
x + y= $25,000....... Equation 1
x = 25,000 - y
3% × x + 5% × y = $1100...... Equation 2
0.03x + 0.05y = 1100...... Equation 2
We substitute 25000 - y for x in Equation 2
0.03x + 0.05y = 1100
0.03(25000 - y) + 0.05y = 1100
750 - 0.03y + 0.05y = 1100
Collect like terms
- 0.03y + 0.05y = 1100 - 750
0.02y = 350
y = 350/0.02
y = 17500
Solving for x
x = 25,000 - y
x = 25000 - 17500
x = 7500
Therefore:
The first amount invested at 3%= x = $7500
The second amount Invested at 5% = y = $17500
*100 POINTS*
What is the equation for the line in slope-intercept form?
Enter your answer in the box.
Answer:
y = -2x - 4
Step-by-step explanation:
In order to write down the equation of this line in slope-intercept form we will need to know the slope and the y intercept. Since the y intercept is the value of y when x = 0, from this we know that in our case the y intercept is - 4. Now in order of find the slope we can choose any two points on the linear function and then divide the rise by the run of the slope (if you want to understand this more you can read about how to find the slope). In our case I took two points (-2, 0) and (0, -4). Form here we know that the slope is....
Let "m" be the slope...
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1} }= \frac{-4 - 0}{0 + 2} = \frac{-4}{2} = -2[/tex]
We know that the slope-intercept looks like y = mx + b (where m is the slope and b is the intercept) so since we know both the slope and the y interest we can conclude the following.
The equation of the linear function show is y = -2x - 4
what is 1,005 x 105 i need help please
Answer:
105525
Step-by-step explanation:
Answer:
1,005 x 105 = 105,525
Hope this helped! Have a great weekend.
20 points!
I need help!
I will also be doing a 50 point giveaway later!
Answer:
Step-by-step explanation:
6x + 3y = 12 solve for y
Answer:
Y= -2x+4
Step-by-step explanation:
Put it in slope intercept form
y=mx+b
Now subtract 6x on both sides to get y isolated
3y=12-6x
Now divide 3 on both sides to get y by itself
y=4-2x
Now in slope intercept form is
y= -2x+4
Electricity Bill Charges
First 200 units 22p per unit
Remaining units 15p per unit
Mr Powers checks his electricity bill.
Here are his meter readings.
New reading:
Old reading
6538 units
6245 units
a)
Use subtraction to calculate the number of units used.
b)
Calculate the cost of the number of units used.
Answer:
a) 293 units
b) £57.95
Step-by-step explanation:
a)
New reading: 6538 units
Old reading : 6245 units
The amount use is the difference between the two readings.
6538 - 6245 = 293
Answer: 293 units
b)
293 is the same as 200 units plus another 93 units.
The first 200 units are charged at 22p per unit
Cost of the first 200 units: 200 units * 22p/unit = 4400p
Remaining units are charged at 15p per unit
Cost of the additional 93 units: 93 units * 15p/unit = 1395p
Total charge: 4400p + 1395p = 5795p = £57.95
Answer: £57.95
Jan 258:00:56 AM
Watch help video
Write the equation of the line that passes thought the points (0,4) and (-9, -3).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
The equation of the straight line in point-slope form
[tex]y - 4 = \frac{7}{9} (x-0)[/tex]
The equation of the straight line
7x -9y +36 =0
Step-by-step explanation:
Step(i):-
Given that the points (0,4) and (-9,-3)
The slope of the line
[tex]m = \frac{y_{2} - y_{1} }{x_{2}- x_{1} } = \frac{-3-4}{-9-0} = \frac{7}{9}[/tex]
Step(ii):-
Equation of the straight line passing through the point (0,4) and having slope m = 7/9
[tex]y - y_{1} = m (x-x_{1} )[/tex]
[tex]y - 4 = \frac{7}{9} (x-0)[/tex]
9 y - 36 = 7x
9y = 7x + 36
[tex]y = \frac{7x}{9} +\frac{36}{9}[/tex]
Slope - intercept form
[tex]y = \frac{7x}{9} +4[/tex]
Final answer:-
The equation of the straight line in point-slope form
[tex]y - 4 = \frac{7}{9} (x-0)[/tex]
The equation of the straight line
7x -9y +36 =0
which is better Financial manager or accountant?
Answer:
Financial manager sounds more professional.
Step-by-step explanation:
please help me with this math question T-T
a primary school has a running track.
it has two straights of 50 metres.
also there are two bends that are semicircles with diamter 30 metres
work out the distance around the running track
Answer:
Distance around the track = 194.3 metres.
Step-by-step explanation:
Given: The two straight sides are of the track are 50 metres each
Diameter of each bend = 30 metres
Thus;
radius of the bends = [tex]\frac{diameter}{2}[/tex]
= [tex]\frac{30}{2}[/tex]
= 15 metres
So that,
length of the semicircular bend = [tex]\frac{1}{2}[/tex] x 2[tex]\pi[/tex]r
= [tex]\pi[/tex]r = [tex]\frac{22}{7}[/tex] x 15
= 47.143
length of each semicircular bend is 47.14 metres.
Distance around the track = addition of the length of each straight sides + addition of the length of the bends
= 50 + 50 + 47.14 + 47.14
= 194.28
Therefore,
Distance around the track = 194.3 metres.
A package of 8 batteries costs $ 4.72 .What is the cost per battery?
Answer:
The cost of each battery is .59
Step-by-step explanation:
Divide 4.72 by 8 to get the answer
Answer:
$0.59
Step-by-step explanation:
$4.72 is the total cost of 8 batteries.
So, $4.72 ÷ 8 = $0.59
Gary went to the hardware store. He bought five boards for $8 each and a box of nails for $6. What was the change in the amount of money Gary had?
Answer:
$46 lessStep-by-step explanation:
Let Gary had x amount of money.
He spent:
$8*5 + $6 = $46He now has:
x - $46He has $46 less than had before
2. A line has an x-intercept of 2 and a y-intercept of 5. What is the slope
of the line?
Answer:
-5/2
Step-by-step explanation:
Use slope formula:
Given 2 points (x1, y1) and (x2, y2) Slope is
y2-y1/x2-x1
The x intercept is 2, the point would be (2,0)
The y intercept is 5, the point would be (0,5)
So you can do (5-0)/(0-2) which is 5/-2 which then would be -5/2
2x + 4y = 24
if y = -3
then x = ____?
Answer:
x = 18
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
2x + 4y = 24
y = -3
Step 2: Solve for x
Substitute in y: 2x + 4(-3) = 24Multiply: 2x - 12 = 24Isolate x term: 2x = 36Isolate x: x = 18Amber has been working very hard and finally got a salary increase of 100%. She was earning $200 per week. How much is she earning now? *
Answer:
$400
Step-by-step explanation:
Given that:
Earnings per week for Amber = $200
Total increase in the salary as per Amber's hard work = 100%
To find:
Earnings of Amber now?
Solution:
We are given the initial salary and its percentage increase.
We have to find the increased value of salary.
Increase in the salary = 100% of $200
[tex]\Rightarrow \dfrac{100}{100}\times \$200\\\Rightarrow \bold{\$200}[/tex]
Amber's Current salary = Initial salary + Increase in the salary
Putting the values of the initial salary and increase in the salary:
Amber's Current salary = $200 + $200 = $400
Diego is solving the equation x2 – 12x = 21
Which value must be added to both sides of the equation to make the left side a perfect -square trinomial?
A
36
B
32
с
144
D
4
Answer:
[tex]36[/tex]
Step-by-step explanation:
Given
[tex]x^2 - 12x = 21[/tex]
Required
Make a perfect square
First, get the coefficient (k) of x
[tex]k = -12[/tex]
Divide by 2
[tex]\frac{k}{2} = \frac{-12}{2}[/tex]
[tex]\frac{k}{2} = -6[/tex]
Square this result:
[tex](\frac{k}{2})^2 = (-6)^2[/tex]
[tex](\frac{k}{2})^2 = 36[/tex]
Hence, 36 when added to the left-hand side makes it a perfect square trinomial
I need help please and thank you !
Answer:
π(12x^3y^5z)^2
Step-by-step explanation:
I doubt your teacher would want you to evaluate the whole thing but if they do leave a comment
Write and solve an inequality that represents the number of apples, x, you can buy if each apple costs .75 cents and you have to spend less than $9.
Answer:
0.75x<9
Step-by-step explanation:
0.75x<9
0.75/0.75x < 9/0.75
x<12
PLEASE ANSWER TODAY ASAP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER.
A rectangle is 18 meters long and 25 meters wide.
What is the area of the rectangle?
1/40 m²
1/20 m²
/220 m²
5/16 m²
To find out the area of a rectangle, you multiply the length by the width.
18 x 25 = 250
Answer: 450 m²
Answer:
18 x 25 = 250
Answer: 450 m²
Step-by-step explanation:
Jev doesn't know you I am sorry...
Find the probability P(E or F) if E and F are mutually exclusive, P(E)=0.41 and P(F) = 0.47
P(E or F) =
Answer:
P(E or F)=P(E)+P(F)=0.41+0.47=0.88
As per the probability of an event, the probability P(E or F) is 0.88, when E and F are mutually exclusive.
What is probability of an event?"Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes how likely they are.
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty. "
Given, the probability of the event E is P(E) = 0.41
The probability of the event F is P(F) = 0.47
Now, the probability P(E or F) is
= P(E) + P(F)
= 0.41 + 0.47
= 0.88
Therefore, P(E or F) = 0.88
Learn more about the probability of an event here: https://brainly.com/question/13974679
#SPJ2
What information could you use to solve the word problem below? Check all that apply.
Answer:
I am not sure but I think the '' D'' answer is correct
Trapezoid ABCD is shown on the graph. If the trapezoid is rotated 90 degrees
counterclockwise about the origin and the resulting image is translated 6
units left, what are the coordinates of C"?
Answer:
The coordinates of C" are (-7, 4)
Step-by-step explanation:
If the point (x, y) rotated about the origin by angle 90° counterclockwise, then its image is (-y, x)If the point (x, y) translated horizontally to the left by h units, then its image is (x - h, y)From the given figure
∵ ABCD is a trapezoid
∵ The coordinates of the ponit C are (4, 1)
∴ x = 4 and y = 1
∵ The trapezoid is rotated 90 degrees counterclockwise about the origin
→ By using the 1st rule above, change the sigh of y and switch them
∴ C' = (-y, x)
∴ C' = (-1, 4)
∵ The resulting image is translated 6 units left
→ By using the 2nd rule above subtract the x-coordinate by 6
∴ C" = (x - h, y)
∵ h = 6
∵ x = -1 and y = 4
∴ C" = (-1 - 6, 4)
∴ C" = (-7, 4)
∴ The coordinates of C" are (-7, 4)
PLEASE HELP ILLL DO ANYTHJNG ITS MY LAST QUESTION PLS HELP!!
Answer: dont know im lost
Step-by-step explanation:
Answer:
y = 2x - 3
Step-by-step explanation:
We first need to find y, which is the slope of the line, in this case is 2/1 or 2. b is the y-intercept, or where the line crosses they y-axis, which here is -3. Now you have y = 2x - 3.
if the simple interest on $3,000 for 2 years is 300 then what is the interest rate
Answer:
The class sociologist Max Weber formulated a three-component theory of stratification that saw political power as an interplay between “class”, “status” and “group power. ” Weber theorized that class position was determined by a person’s skills and education, rather than by their relationship to the means of production
Answer:
Does that make sense??
Step-by-step explanation:
Have A Wonderful Day !!
PLEASE HURRY !! Which point is located at (2, -3)?
Answer:
the answer is K for (2,-3)
I cant figure it out, and if I get this wrong I fail the test
Step-by-step explanation:
x = 1.21212121.....
100x = 121.21212121...
Therefore 99x = 120 and x = 120/99 = 40/33.
Answer:
[tex] \frac{40}{33} [/tex]
Step-by-step explanation:
hope it helpsss:-)
Someone help please ASAP!!!!
The answer to this question is Option C.
As stated in the problem, both programs being Math Master (75% to 87%) and Excel (73% to 81%) increased, therefore, meaning they are both effective as the average test scores increased. However, Math Master had a higher average test score increase compared to Excel, meaning it is even more effective.
Hope this helps :)
PLEASE HELP I WILL HAVE TO DO MATH AGAIN IF I DONT GET THIS RIGHT PLEASE HELP
Answer:
9
Step-by-step explanation:
Given that f(x) = x2 – 14x + 45 and g(x) = 2 – 9, find f(x) – g(x) and
express the result in standard form?
Answer:
x2-14x+52 is the answer in my calculation.
Find the length of side a .
how do I find the length of side a?
Step-by-step explanation:
might be correct
according to PythagorasAnswer:
A. 12
Step-by-step explanation:
AP3X
PLS HELP
what is the slope of the line that contains these points
x 15,17,19,21
————————-
y -10,2,14,26
Answer:
6
Step-by-step explanation:
(15 , -10) (17 , 2)
slope (m) = rise/run = (2 - -10) / (17 - 15) = 12/2 = 6