Answer:
Katherine would have $109.54 more than Stella.
Step-by-step explanation:
Giving the following information:
Stella:
Initial investment (PV)= $6,100
Interest rate (i)= 0.065/12= 0.0054 per month
Number of periods (n)= 7*12= 84
Katherine:
Initial investment (PV)= $6,100
Interest rate (i)= 0.06625/4= 0.0167
Number of periods (n)= 7*4= 28
To calculate the future value, we need to use the following formula:
FV= PV*(1 + i)^n
Stella:
FV= 6,100*(1.0054^84)
FV= $9,589.5
Katherine:
FV= 6,100*(1.0167^28)
FV= $9,699.04
Difference= $109.54
Katherine would have $109.54 more than Stella.
The average of the first 3 numbers was 28. The average of the next 12 numbers was 38. What was the overall average of the numbers?
***NO SPAM, PLEASE!!!!!!***
Answer:
ther overall average would be 36
Step-by-step explanation:
Please help me with full calculations
Answer:
use formula,
P(x,y)=P'(-y,x)
so.
R(-2,-2)=R'=(2,-2)
S(1,1)=S'(-1,1)
T(-1,-3)=T'(3,-1)
Step-by-step explanation:
plot R,S,T and R',S',T' in the graph
The dollar value of a car is a function, f, of the number of years, t, since the car was purchased. The function is defined by the equation f(t)=12,000(3/4)^t.
A. How much was the car worth when it was purchased? Explain how you know.
B. What is f(2)? What does this tell you about the car?
C. About when was the car worth $6,000? Explain how you know.
Answer:
1.) 12000
2.) 6750
3.) 2.41
Step-by-step explanation:
Given the Equation :
f(t)=12,000(3/4)^t. ; where, t = time ; f(t) = worth of car at time, t
When, car was purchased, t = 0
t = 0
f(0) = 12000(3/4)^0
= 12000 * 1
= 12000
2.)
f(2) ; this mean the worth of the car after 2 years :
f(2)=12,000(3/4)^t.
12000(3/4)^2
12000 * 0.5625
= 6750
When car will be worth 6000
f(t) = 6000
f(t)=12,000(3/4)^t.
6000 = 12,000(3/4)^t
6000 / 12000 = (3/4)^t
1/2 = (3/4)^t
Take the log of both sides :
Log(0.5) = log(0.75)^t
log(0.5) = tlog(0.75)
- 0.301029 = - 0.124938t
t = - 0.301029 / - 0.124938
t = 2.4094
t = 2.41 years
Based on equation of the line of best fit how much money should Millie expect to earn if he works a five hour shift?
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]x = 5[/tex] ---- 5-hour shift
Required
The expected earnings
The question is incomplete, as the equation is not given. A general way to solve this, is to substitute the value of x in the equation, then solve for the y variable.
Take for instance, the equation is:
[tex]y = 10x + 2[/tex]
The expected earnings will be:
[tex]y = 10*5 + 2[/tex]
[tex]y = 50 + 2[/tex]
[tex]y = 52[/tex]
Expected Earnings = $52
NEED HELPPPPP LOL XDDDDD OH MY GODDD
Answer:
yo w t f is thisssssss
Step-by-step explanation:
b c idek im so cluless rn im in 7th grade XD
Find the mode, median, mean and range for this set of data.
Number of Hours Slept: 8.5, 7,6.75,5.75, 8.75,6.25,7,7.5, 4.25
Central Tendency is the statistical measure that can be used to represent all the distribution or a dataset using a single value. The most common measures of central tendency are the mode, median, and mean.
How to determine this
Mode is the value that has the highest frequency in a given data set.
So,
8.75 the highest frequency in the data set
Mode = 8.75
Median is the middle of a sorted list of numbers when arranged in ascending order.
So,
4.25, 5.75, 6.25, 6.75, 7, 7, 7.5, 8.5, 8.75 in ascending order
Median = 7
Mean is the average or the most common value in a given set of values.
Mean = 8.5 + 7 + 6.75 + 5.75 + 8.75 + 6.25 + 7 + 7.5 + 4.25/9
Mean = 61.75/9
Mean = 6.8611
Mean = 6.86 to 2 decimal place
Range is the difference between the highest value and lowest values.
Range = Maximum value - Minimum value
Range = 8.75 - 4.25
Range = 4.5
Read more about Central Tendency
https://brainly.com/question/542771
#SPJ1
Please help me with this homework
Answer:
C.
Step-by-step explanation:
The pythagorean theorem shows a^2+b^2=c^2.
a=8, b=15, c= the unknown distance
8^2+15^2=c^2
Write an equation to represent the following statement.
33 is 15 less than k.
Answer:
33=k-15
Step-by-step explanation:
I hope this helps:)
Can someone please show me how to do this, I know the answer is 125 a^3 b^2.
The question is shown below in a picture I’m not sure how to do it please explain!
Answer:
Step-by-step explanation:
5^4 = 625. I hope your calculator will do this.
625 / 5 = 125
There is a more general way to do this which will be in harmony with the rest of the question.
5^4 / 5^1 = 5^(4 - 1) = 5^3 = 125
b^4 / b2 = b^(4 - 2) = b^2
a remains as it is at a^3
So the answer is 125 a^3 b^2
38% of y is 494, what is y?
15% of c is 49, what is c?
Answer:
y= 1,300
c= 326.67
Step-by-step explanation:
Solve for b.
-7b – 12 = -61
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{-7b - 12 = -61}[/tex]
[tex]\large\textsf{ADD 12 to BOTH SIDES}[/tex]
[tex]\mathsf{-7b - 12 + 12 = -61 + 12}[/tex]
[tex]\large\textsf{CANCEL out: -12 + 12 because that gives you 0}[/tex]
[tex]\large\textsf{KEEP: -61 + 12 because it helps solve for your b-value}[/tex]
[tex]\mathsf{-61+12=\bf -49}[/tex]
[tex]\large\text{NEW EQUATION: \textsf{-7b = -49}}[/tex]
[tex]\large\textsf{DIVIDE -7 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{-7b}{-7}=\dfrac{-49}{-7}}[/tex]
[tex]\large\textsf{CANCEL out: }\mathsf{\dfrac{-7}{7}}\large\textsf{ because that gives you 1}[/tex]
[tex]\large\textsf{KEEP: }\mathsf{\dfrac{-49}{-7}}\large\textsf{ because that gives you your b-value}[/tex]
[tex]\mathsf{\dfrac{-49}{-7}= \bf b}[/tex]
[tex]\uparrow\large\text{SIMPLIFY ABOVE \& YOU HAVE YOUR ANSWER}\uparrow[/tex]
[tex]\mathsf{-49\div -7= \bf 7}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf b = 7}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Im being asked to put this in simplest form can anyone help me?
What is 0.57 (7 repeating) expressed as a fraction in simplest form?
Answer:
57/100
Step-by-step explanation:
look it up
NO LINKS The circumference of a circle is 36 feet. What is the length of the radius of this circler
O 9 ft
18 ft
36 ft
O 72 ft
Thank you so much for your help! :)
Answer:
18ft
Step-by-step explanation:
Formula of circumference * r x r x 3.14* or d x 3.14*
:DDD And ye glad I could help!
A car lot has both used and new cars. If 86% of the cars on the lot are new and 45% of the cars are new and have a sunroof, find the probability of randomly choosing a car with a sunroof, given that it is a new car
Answer:
0.523
Step-by-step explanation:
Let :
New car = N
Sunroof = S
P(N) = 0.86
P(N n S) = 0.45
Recall :
P(A|B) = p(AnB) / p(B)
Therefore ;
P(S|N) = P(SnN) / p(N)
P(S|N) = 0.45 / 0.86
P(S|N) = 0.523
Use elimination to solve the system of equations. what is x and y
3x – 2y = 24
x + 2y = 48
Answer:
X=7 Y=5
Step-by-step explanation:
Jonathan's mom is buying him a new PS5 for his birthday. The expression 0.07p represents the sales tax on the system price, p. Write an expression in terms of p to represent the total amount that Jonathan's mom spends on the system, including tax.
Answer:
p + 0.07p
Step-by-step explanation:
tax is a compulsory sum levied by the government on goods and services. taxes increases the price paid for products
If sales tax = 0.07p, total price paid increases by 0.07p
total price paid = price of the good + tax
total amount spent by Jonathan's mom = p + 0.07p
An investment of $100 is now valued at $149.18 the interest rate is 8% compounded continuously about how long has the money been invested
question: An investment of $100 is now valued at $149.18 the interest rate is 8% per year, compounded continuously about how long has the money been invested
Answer:
5.2 years
Step-by-step explanation:
Applying
A = P(1+R/100)ⁿ.......................... Equation 1
Where A = amount, P = principle, R = rate, n = time.
From the question,
Given: A = $149.18, P = $100, R = 8%
Substitute these values into equation 1 and solve for n
149.18 = 100(1+8/100)ⁿ
149.18/100 = (1+8/100)ⁿ
1.4918 = (1+0.08)ⁿ
1.4918 = (1.08)ⁿ
Taking the Logarithm of both side
Log(1.4918) = Log(1.08)ⁿ
Log(1.4918) = nLog(1.08)
n = Log(1.4918)/Log(1.08)
n = 0.1737/0.0334
n = 5.2 years.
From the list below, select the two properties that are NOT necessarily true for a rhombus.
A
Each pair of opposite sides are congruent.
B
Each pair of opposite angles are congruent
С
All sides are congruent.
D
All angles are congruent.
E
Diagonals are congruent.
F
Diagonals are perpendicular.
Answer:
D, E
Step-by-step explanation:
D. all angles do not have to be congruent
E. diagonals do not have to be congruent
Option D is incorrect 100%
Option E should be incorrect aswell.
Owen and Jesse go to a restaurant for breakfast. A 7% sales tax is applied to their $21.60 bill. If Owen and Jesse add a 15% tip after the tax is applied, what is the total cost, including tip?
Answer:
The total cost is 26.6 dollars
Step-by-step explanation:
Given
The total bill of the breakfast = $ 21.60
Sales tax = 7% of the total bill value
Total bill after adding the 7% sales tax
$ 21.60 + 7% of $ 21.60
[tex]21.60 + \frac{7}{100} * 21.60\\21.60 + 1.512\\23.112[/tex]dollars
After adding 15% of the tip values to the payable amount of $ 23.112, the total bill becomes
$ 23.112 + 15% of $ 23.112
[tex]23.112 + 3.4668 = 26.5788[/tex]
The total cost is 26.6 dollars
FREEEE POINTS REALLY
Answer:
x is less than 46
x<46°
Step-by-step explanation:
............
y=
y=
\,\,x^{2}+1
x
2
+1
Answer:
numbers are fun
Step-by-step explanation: teacher
Which of the following functions is not linear?
Answer:
third bubble, y = (1/3)^x
Step-by-step explanation:
The owner of a flower shop on H street sells 28 roses for $140. What is the cost in dollars per rose?
Answer:
$5 ( sorry if it is incorrect)
Step-by-step explanation:
Find the m BD, given: mZCPA= 42, ZFPC = 90°
and CD & AB are diameters.
HELP PLZZZZ!!! PLZZZ SHOW WORK!!
The mean score on a physics test was 75 points. Amy’s score was 67 points, which was 2 standard deviations below the mean.
What is the variance of the data set?
2
4
8
16
. im only asking because someone asked it and the answers said 2. like no hunny it was 16 and i gatta help out the future ppl who are chea- i mean in need of help . follow mw on insta lol ms.roslynn
Answer:
16
Step-by-step explanation:
Solve for m.
3m = 15
A. m = 45
B. m = 35
C. m = 12
D. m = 5
Answer:
D.
Step-by-step explanation:
Have a Nice Day
Answer:
it's D.
Step-by-step explanation:
Tell if the number is rational or irrational. 3.65028
Answer:
Irrational
Step-by-step explanation:
Answer: YES
Explanation: 3.65028 is a terminating decimal, or decimal that ends, and all terminating decimals are rational numbers.
What is the distance between the points (5, -1) and (5,
3)
By using distance formula (which is attached below), you can solve this problem:
√(x2-x1)^2+(y2-y1)^2
(5, -1) and (5, 3)
√(5-5)^2+(3-(-1))^2
√0^2+4^2
√0+16
√16
4
The distance between the two points is 4.
What is m∠BAC.
............
Answer:
37 degrees
Step-by-step explanation:
1. m∠CBA = 71+45 = 116 degrees
2. m∠CBA = m∠CDA because of the quadrilateral property of opposite sides.
3. m∠CBA + m∠CDA = 2*116 = 232.
4. Total angle measure of a quadrilateral is 360 degrees, so m∠BAD + m∠BCD = 360-232 = 128 degrees.
5. m∠BAD = m∠BCD = 128/2 = 64 degrees
6. m∠BAC = m∠BAD - m∠CAD = 64 - 27 = 37 degrees
anybody know the answer? please help
Answer:
the first one. slope is 1/2 and y intercebt (b value) is positive 2.
Step-by-step explanation:
Answer:
y=1/2x+2
Step-by-step explanation:
This equation is linear because the graph is a straight line. Therefore, use the slope-intercept form y=mx+b to create the equation.
To find m (the slope), pick two points like (0,2) and (2,3). Find the change in y over the change in x: (y2-y1)/(x2-x1).
y2=3, y1=2, x2=2, x1=0
(3-2)/(2-0)= 1/2
This is the slope which means the equation is one of the first 2 options.
Next find b (the y-intercept) by finding the y value on the graph when x=0. When x=0, y=2. Therefore, b=2 and the final equation is y=1/2x+2