Complete question :
The beginning balance of Cooper's savings account for the month of September was $5700, and it remained this way for the first 11 days of the month. On September 12, Cooper made a withdrawal of $900, so his balance changed, and it remained the same for a total of 9 days. On September 20, Cooper made a deposit of $1100, so his balance changed again, and it remained the same for a total of 10 days to finish out the month. Cooper's savings account has an APR of 3.65%, calculates interest daily, and pays interest at the end of the month. Cooper wants to calculate the amount he earned in interest during the month of September.
Part I: What interest rate does Cooper's savings account pay per day?
Part II: How much did Cooper earn in interest during the first 11 days of September?
Answer:
0.01% ; $6.27
Step-by-step explanation:
Given :
Annual percentage interest (APR) = 3.65%
To obtain the daily interest :
APR / Number of days in a year
3.65% / 365
0.0365 / 365
= 0.0001
= 0.0001 * 100
= 0.01%
B.) Interest earned during first 11 days :
Using the relation :
Interest earned = Principal * Rate * Time
Principal = $5700 ; daily rate = 0.0001 ; number of days = 11
Interest earned = (5700 * 0.0001 * 11)
Interest earned = $6.27
Triangle DAC is isosceles with congruent sides AD and AC. Which additional
given information is sufficient for showing that triangle DBC is isosceles?
Select all that apply.
Answer:
A, C, E
Step-by-step explanation:
Welcome :)
Pls help due ASAP ....
please help me almost done
Answer:
x = -8
<XCE = 30
Step-by-step explanation:
Remark
In any question like this, there are 8 possible answers. Of the 8, 4 are acute angles and 4 are obtuse. So any pair are either equal to each other, or they are supplementary. In this case the two given angles are equal.
We have a little bit of both in this question.
Solution
3x + 174 = - 7x + 94 Alternate exterior angles. Add 7x to both sides.
3x+7x +174 = 94 Combine
10x + 174 = 94 Subtract 174 from both sides
10x = 94 - 174
10x = - 80 Divide by 10
x = - 80/10
x = - 8
===================
Check
3x + 174 = -24 + 174 = 150
-7x + 94 = -7*-8 + 94
-7x + 94 = 56 + 94 = 150
<XCE
<XCE = 180 - (3x + 174)
<XCE = 180 - (-24 + 174)
<XCE = 180 - (150)
<XCE = 30
Drag each equation and coordinate to the correct location on the table. Not all equations or coordinates will be used. In the table below, quadratic equations are given in standard form. Rewrite each equation in the form that reveals the maximum or minimum value, and then identify the coordinate point of that extreme value.
Answer:
Standard Form Equivalent Form Extreme Values
y=x^2-6x+17 (x-3)^2+8 (3,8)
y=x^2+8x+21 (x+4)^2+5 (-4,5)
y=x^2-16x+60 (x-8)^2-4 (8,-4)
Step-by-step explanation:
1) Standard form:
y=x^2-6x+17
Equivalent Form:
Can be found using completing the square method.
[tex]y=x^2-6x+17\\y=x^2-2(x)(3)+(3)^2-(3)^2+17\\y=(x-3)^2-9+17\\y=(x-3)^2+8[/tex]
So, Equivalent form is: (x-3)^2+8
Extreme value:
Extreme values are basically the minimum and maximum value of the function.
Minimum Value will be found by finding derivative of the function:
The derivate is: 2x-6
Now, put the derivate equal to zero: 2x-6 = 0
[tex]2x=6\\x=6/3 \\x=3[/tex]
Maximum value can be found by putting minimum value in the given function:
Put x = 3 and solve:
[tex](3)^2-6(3)+17\\9-18+17\\9-1\\=8\\[/tex]
So, the extreme values is: (3,8)
2) Standard form:
y=x^2+8x+21
Equivalent Form:
Can be found using completing the square method.
[tex]y=x^2+8x+21\\y=x^2+2(x)(4)+(4)^2-(4)^2+21\\y=(x+4)^2-16+21\\y=(x+4)^2+5[/tex]
So, Equivalent form is: (x+4)^2+5
Extreme value:
Extreme values are basically the minimum and maximum value of the function.
Minimum Value will be found by finding derivative of the function:
The derivate of x^2+8x+21 is: 2x+8
Now, put the derivate equal to zero:
[tex]2x+8 = 0\\2x=-8\\x=-8/2 \\x=-4[/tex]
So, minimum value is: -4
Maximum value can be found by putting minimum value in the given function:
Put x = -4 and solve:
[tex]x^2+8x+21\\=(-4)^2+8(-4)+21\\=16-32+21\\=5[/tex]
So, Maximum value is: 5
So, the extreme values is: (-4,5)
3) Standard form:
y=x^2-16x+60
Equivalent Form:
Can be found using completing the square method.
[tex]y=x^2-16x+60\\y=x^2-2(x)(8)+(8)^2-(8)^2+60\\y=(x-8)^2-64+60\\y=(x-8)^2-4[/tex]
So, Equivalent form is: (x-8)^2-4
Extreme value:
Extreme values are basically the minimum and maximum value of the function.
Minimum Value will be found by finding derivative of the function:
The derivate of x^2-16x+60 is: 2x-16
Now, put the derivate equal to zero:
[tex]2x-16 = 0\\2x=16\\x=16/2 \\x=8[/tex]
So, minimum value is: 8
Maximum value can be found by putting minimum value in the given function:
Put x = 8 and solve:
[tex]x^2-16x+60\\=(8)^2-16(8)+60\\=64-128+60\\=-4[/tex]
So, Maximum value is: -4
So, the extreme values is: (8,-4)
Answer:
the dude above me i right i got i right on the test in edmentum
Step-by-step explanation:
Cherie accepted a job through an employment agency. The job pays $1,100 a week. The agency charges 30% of her first 4 weeks pay. Find the amount she owes the agency
Cherie owes the employment agency amount of $1,320.
What is the Multiplication operation?In mathematics, Multiplication operations perform Multiplying values on either side of the operator.
For example 4×2 = 8
To determine the amount Cherie owes the agency, we need to calculate 30% of her first 4 weeks of pay.
Since she earns $1,100 a week, the total pay for 4 weeks is $1,100 × 4 = $4,400.
Now that we have the total pay for 4 weeks, we can calculate 30% of that amount by multiplying $4,400 by 0.30.
So, 30% of her first 4 weeks' pay is $4,400 × 0.30 = $1,320.
Therefore, she owes the employment agency $1,320.
Learn more about Multiplication operations here:
brainly.com/question/25834626
#SPJ6
if i have a dog and it barks what do I do
Answer:
reset the dog
Step-by-step explanation:
Answer:
Put it down, its probably autistic. Pls ark brainliest for the good answer! :)
Step-by-step explanation:
−5 − 5/3 =
solve this right and get points!
Answer:
-6.66666666667
Step-by-step explanation:
Answer:
[tex]=\frac{-20}{3}[/tex]
Step-by-step explanation:
[tex]\frac{-5}{1} -\frac{5}{3} =\frac{-20}{3}[/tex]
At a sale, dresses were sold for $24 each. This price was 12% of a dress's original price. How much did a dress originally cost?
Answer:
$200
Step-by-step explanation
24/0.12
=200
Sorry if its wrong :(
please help its urgent Proof
that
if A is a subset of B then AnB =A by contrapositive statement
Answer:
yes because of a postulate or a theorem
Step-by-step explanation:
Some help please
Thank you
Answer:
Step-by-step explanation:
Using pythagoras theorem
AB²+BD²=AD²
5²+BD²=10²
25+BD²=100
BD²=100-25
BD²=75
BD=√75
BD=8.66
For triangle BDC,
Using pythagoras theorem
x²=DC²+BD²
x²=4²+75
x²= 16+75
x²=91
x=9.54
100 points! I will mark brainliest! Only answers if you know it. Random answers WILL be reported
Answer:
2sqrt5
Step-by-step explanation:
We know that the shortest distance would be with drawing a perpendicular line through BC and A.
BC is y = -2x+1
Therefore a perpendicular line should have slope 1/2
y = 1/2x + b
-3 = 1/2*-3 + b
b = -3/2
y = -2x+1
y = 1/2x - 3/2
-2x+1 = 1/2x - 3/2
-4x+2 = x - 3
5 = 5x
x = 1
y = 1
now of course the graph shows that already, but we're just proving that again
The x-difference is 4, the y difference is 2, so 16+4 = 18, sqrt20 = 2sqrt5
Answer:
Solution given:
AB=
[tex]AB = \sqrt{( - 3 +1 {)}^{2} + ( - 3 - 3 {)}^{2} } = 6.32units[/tex]
[tex]AC= \sqrt{( - 3 - 1) ^{2} + ( - 3 + 1) {}^{2} } = 4.5[/tex]units
[tex]AD= \sqrt{( - 3 - 0) {}^{2} + ( - 3 - 1) {}^{2} } = 5units[/tex]
so shortest distance=AC=4.5units
Mark was thinking of a number. Mark doubles it, then adds 11 to get an answer of 52.6. What was the original number?
Answer:
20.8
Step-by-step explanation:
The first step you need to do is to subtract 11:
52.6 - 11 = 41.6
The second step is to divide it by 2:
41.6 / 2 = 20.8
Mark was thinking of 20.8
Answer:
the original number is 20.8
Step-by-step explanation:
because 2x + 11 = 52.6
2x = 41.6 -->x = 20.8
Assess why Sunni Muslims do not believe in the
Imamate - Please help!!
(100 points and will give brainliest - putting this in maths so ppl will see it!)
Answer:
Sunni Muslims accept all four leaders, including Abu Bakr and Ali, as the rightful successors of Muhammad. Shi'a Muslims, also called 'the party of Ali', believe that Muhammad chose Ali as his successor rather than having a bloodline successor.
Imamate is the Shi'a belief that all modern imams should be spiritual descendants of the Prophet Muhammad. Shi’a Muslims believe that imams protect the religion and help to guide Muslims along the right path. Today, Shi'a Muslim communities are led by imams, who are seen as having been chosen by God. Shi’a Muslims believe that imams are exemplary individuals who obey all teachings. Shi’a Muslims believe that imams are inspired by God, are without sin and are infallible, which means that they can interpret the teachings of the Qur’an without making any errors.
Today, Shi’a Muslim communities are led by imams, who are seen as having been chosen by God. Imams should be exemplary individuals who obey all teachings.
Origins of Imamate
After the Prophet Muhammad died, the Muslim community had to choose a successor. Abu Bakr, who was Muhammad’s father-in-law and closest friend, became the leader of the Sunni Muslim community.
Sunni Muslims, who make up around 90 per cent of the global Muslim population, agree that the rightful successor to Muhammad was Abu Bakr, Muhammad’s father-in-law. They recognise two further leaders who came after Abu Bakr. They then recognise a fourth leader, Ali (Muhammad’s cousin). Sunni Muslims accept all four leaders, including Abu Bakr and Ali, as the rightful successors of Muhammad.
Shi’a Muslims, also called ‘the party of Ali’, believe that Muhammad chose Ali as his successor rather than having a bloodline successor. After Ali’s death, Shi’a Muslims were led by twelve imams, whom they believe were spiritual successors to the Prophet Muhammad rather than having any family connection to him. This was the beginning of the Imamate. Shi’a Muslims make up around 10 per cent of the global Muslim population.
Hope this helps..!
Step-by-step explanation:
Help plsssss I will mark as brainlest if correct
Replace x with a couple of numbers, solve for Y them mark those points on the graph and connect with a line.
See picture:
What is x in the similar triangles? Please help:)
Answer:
x = 18
Step-by-step explanation:
Since both right triangles are similar, therefore:
[tex] \frac{2x - 6}{20} = \frac{39}{x + 8} [/tex]
Cross multiply
[tex] (2x - 6)(x + 8) = 39*20 [/tex]
[tex] 2x(x + 8) -6(x + 8) = 780 [/tex]
[tex] 2x^2 + 16x - 6x - 48 = 780 [/tex]
[tex] 2x^2 + 10x - 48 = 780 [/tex]
Subtract 780 from both sides
[tex] 2x^2 + 10x - 48 - 780 = 0 [/tex]
[tex] 2x^2 + 10x - 828 = 0 [/tex]
[tex] 2x^2 + 46x - 36x - 828 = 0 [/tex]
[tex] 2x(x + 23) - 36(x + 23) = 0 [/tex]
[tex] (x + 23)(2x - 36) = 0 [/tex]
x + 23 = 0
x = -23
Or
2x - 36 = 0
2x = 36
x = 18
PLEASE HELP URGENT!!!!!
Need to know cos(G), sin(G), and tan(G)
WILL GIVE BRAINLIST
HELP HELP LOOK BELOW
Answer:
y= 1/4x - 1
Step-by-step explanation:
it passes through the points (-4,-2) and it is parallel to the line 1/4x+3
after a year how much did nadia make?
Answer:
Hey!
Step-by-step explanation:
We need to know all of the info on nadia, can you report this question with all the info?
if I buy 52 packs of cookies and 16 cookies are in each pack how many cookies do I have all together .
Answer:
68 cookies
Step-by-step explanation:
Yun is curious what proportion of users will click an advertisement that appears on his website. He takes a
random sample of 200 users and finds that 34 of them clicked the advertisement. He's willing to assume
independence between users in the sample.
Based on this sample, which of the following is a 99% confidence interval for the proportion of users that click
the ad?
Answer:
Step-by-step explanation:
The department of transportation was doing a study and found thint at the intersection in front of the school
that an average of 19 cars per minute go through the intersection. Based on this statistic, how many cars
would you estimate go through that intersection in a year?
what's the answer to question c in the graph below
Answer:
3
Step-by-step explanation:
3is tha answer of pair of shoes..
am i rght
Answer:
3
Step-by-step explanation:
3 is right answer because it is largest pair of number
MARKING BRAINLIEST!!!!
Answer:
12
Step-by-step explanation
Gloria is an artist and is making paintings for a show 6 months from now. She made a purchase of items she would need in order to create her paintings. The paints and brushes she purchased were enough for all of her paintings for a 6 month period. She also need canvas' to paint on and planned to purchase them as needed over the 6 month period. The equation to represent her total cost is given by T = $38.40c + $2,472.00 where T is the total cost and c is the number of canvas' Gloria purchased. Choose 3 answers to answer the 3 questions. a) How much did Gloria pay for the brushes and the paints? b) How much will Gloria pay for each canvas? c) If Gloria makes a total of 35 paintings, what is her total cost?
Answer:
$2,472 ; 38.40 ; $3816
Step-by-step explanation:
Given the equation to represent Gloria's cost of painting :
T = $38.40c + $2,472.00 ;
T = total cost ; c = number of canvas' Gloria purchased
General form of a slope-intercept equation :
y = mx + c
m = gradient ; c = intercept
Cost of brushes and paint corresponds to the intercept of the equation : since she has already gotten them on ground.
Hence, Cost of brushes and paint is $2472
B.) cost of each canvas is denoted by the slope of the model = $38.40
C.) if number of painting made = 35
Number of canvas, c = 35
Total cost :
T = 38.40(35) + 2,472.00
Total cost = $3816
What is x in the equation 5^{3-2x} = 5^{-x}
A) x = 3
B) x = 1
C) x = -1
D) x = -3
Answer:
The answer is A) x equals 3
A triangle has sides with lengths of 5 yards, 12 yards, and 15 yards. Is it a right triangle? PLEASE HELP!
Answer:
The triangle is right angled
Step-by-step explanation:
Explanation:
As the largest side is
15 yards and smaller sides are 9 yards and 12 yards
from Pythagoras theorem, if the triangle is right angled square of largest side should be equal to sum of the squares of smaller two sides.
Answer:
no its not
Step-by-step explanation:
i did the same question
You just had dinner at your favorite restaurant. The total bill is $63.50 not including tax. What would your total be if you left a 15% tip and the sales tax of 9.5%?
$18 for 3 bracelets; $30 for 5 bracelets
Answer: oooo those seem like a good deal
Step-by-step explanation:
8g+7+3g+12 can be written as?
Answer:
11g + 19
Hope this helps
Step-by-step explanation:
Answer:
It can be also written as 11g+19.
Step-by-step explanation:
First, you would add the numbers with the 'g'
11g+7+12
then you would add the regular numbers.
11g+19
What value of y makes the equation true -2y+3=-7y+19
Answer:
16/5
Step-by-step explanation:
-2+3=-7y+19
-2+7y+3=19
5y+3=19
5y=19-3
5y=16
y=16/5