Answer:
She will pay $7,500 interest over the 5 years
She will have to pay back $17,500 in total
Step-by-step explanation:
Let us revise the rule of the simple interest
I = Prt and A = P(1 + rt) , where:
A = Total Accrued Amount (principal + interest) P = Principal Amount I = Interest Amount r = Rate of Interest per year in decimalt = Time Period involved in months or years∵ Leah borrows £10,000 over 5 years at a simple interest rate of 15%.
∴ P = 10,000
∴ t = 5
∴ r = 15% = [tex]\frac{15}{100}[/tex] = 0.15
→ Substitute them in the first rule to find the interest
∵ I = 10,000(0.15)(5)
∴ I = 7,500
∴ She will pay $7,500 interest over the 5 years
→ Let us find A
∵ A = 10,000(1 + 0.15×5)
∴ A = 17,500
∴ She will have to pay back $17,500 in total
Write the function in standard form.
f(x) = - 3(x - 7)2 + 15
Answer:
The answer is f ( x ) = − 6 x + 57
Step-by-step explanation:
How much time will Alex need to walk to his school, which is 2 1/4 miles away from his house, if he would walk with the speed of 4 1/2
Answer: 50 mins?
Step-by-step explanation: 2 1/4 divided by 4 1/2 =.50
A farmer wants to set up a pigpen using 40ft of fence to enclose a rectangular area of 51 square feet. Find the dimensions of the pigpen.
Answer:
The sides of the pigpen are 3 by 17
Step-by-step explanation:
Perimeter of pigpen => 2x + 2y = 40
Area of pigpen => xy = 51 (this is assuming x = length, and y = width)
Let's isolate "y" for the first equation;
2x + 2y = 40
2(x + y) = 40
x + y = 20
y = 20 - x
xy = x(20 - x) = 51 = 51
20x - x^2 = 51
x^2 - 20x + 51 = 0
According to the quadratic equation =>
x = ( - (- 20) + √(- 20)^2 - 4 * 1 * 50 ) / 2 * 1 = 17
x = ( - (- 20) - √(- 20)^2 - 4 * 1 * 50 ) / 2 * 1 = 3
The dimensions of the pigpen are actually 17 by 3
Proof: 17(3)= 51, 2(17) + 2(3) = 40
You know that the Customer Acquisition Cost is the cost associated with convincing a customer to buy a good or service. It includes the product, research, marketing, and accessibility costs. You also know that it equals the marketing expenses per month divided by the number of new customers per month.
You have determined that two certain groups of customers are the largest groups of buyers. You want to know which group will be more profitable to target in terms of marketing. You check the company’s big data and find that the marketing expense per month for targeting the first group is $30,000, while the second group requires $60,000. You estimate that this marketing campaign will be able to attract 1,000 new customers for demographic group 1 and 1,500 for demographic group 2.
A B C
1 Marketing Expenses Number of Customer
for Targeting Customers Customers Acquisition Cost
2
What is the Customer Acquisition Cost for each customer in demographic group 1?
a. $50.
b. $40.
c. $30.
d. $60.
What is the Customer Acquisition Cost for Group 2?
a. $80.
b. $40.
c. $60.
d. $100.
Answer:
The Customer Acquisition Cost for each customer in demographic group 1
The correct option is c
The Customer Acquisition Cost for Group 2
The correct option is b
Step-by-step explanation:
From the question we are told that
The marketing expenses per month for targeting the first group is [tex]E = \$ 30,000[/tex]
The marketing expenses per month for targeting the second group is [tex]F = \$ 60,000[/tex]
The number of customers for the demography of group 1 that will be attracted is N = 1000
The number of customers for the demography of group 2 that will be attracted is M = 1500
Generally the customer acquisition cost for group 1 is
[tex]K = \frac{E}{ N}[/tex]
=> [tex]K = \frac{30000}{ 1000}[/tex]
=> [tex]K = \$ 30 [/tex]
Generally the customer acquisition cost for group 2 is
[tex]Z = \frac{F}{ M}[/tex]
=> [tex]Z = \frac{60000}{ 1500}[/tex]
=> [tex]Z = \$ 40 [/tex]
What is the equivalent of 7(7q+5)
Answer:
14q + 35
Step-by-step explanation:
Step 1: Write expression
7(7q + 5)
Step 2: Distribute 7 to each term
14q + 35
Question 3: If Eli’s odds of winning a game is 3:1, what is Eli’s probability of winning?
Answer:
25% chance of winning.
Step-by-step explanation:
Hello.. Find an angle between 0 and 2pi (in decimal form) that is coterminal with the given angle.
a. 13pi/5
b. -13pi/3
c. 57pi/2
d. 11pi/7
I know the answer to the first one is 1.88495559215. However, following the formula I was given by my teacher gives me decimals that are higher than the decimal for 2pi or lower than 0, so the other questions keep being wrong. Can someone please help?? I have no idea what to do.
9514 1404 393
Answer:
a. 1.88495559215 radians
b. 5.23598775598 radians
c. 1.57079632679 radians
d. 4.93678845564 radians
Step-by-step explanation:
You want the coefficient of pi to be between 0 and 2. That is, you want its value modulo 2--the remainder from division by 2.
a. 13/5 = 2.6; 2.6 mod 2 = 0.6. 0.6π ≈ 1.88495559215 (as you know)
b. -13/3 = -4 1/3; -4 1/3 mod 2 = 1 2/3*. 5/3π ≈ 5.23598775598
c. 57/2 = 28.5; 28.5 mod 2 = 0.5. 0.5π ≈ 1.57079632679
d. 11/7 = 1 4/7. 11/7π ≈ 4.93678845564
All angles are in radians.
__
* My calculator gives the value of -4 1/3 mod 2 as -1/3. We want the positive value, so must add 2 to this. The attachment shows Desmos is smarter than my calculator.
How to Solve this??! 6x-2=x+13
Answer:
x=3
Step-by-step explanation:
We are given the equation, 6x-2=x+13.
1. 6x=x+15
2. 5x=15
3. x=3
Hope this helps! Good luck on your assignment!
Answer: x=3
Step-by-step explanation:
6x-2=x+13
First get both x’s on one side
We are going to subtract x from both sides
5x-2=13
Now we want to get 5x alone
We are going to add 2 to both sides
5x=15
Now we want to get x alone
We are going to divide by 5
x=3
HELP ASAP!!!! simplify 3^2-4/5
Answer:
9-4/5
5/5 = 1
Step-by-step explanation:
Answer:
1
9-4/5 is equal to 5/5 which is equal to 1
Solve.
(5a^2 + 3) (4a^2 + 3)
Answer:
I think its a... carrot
Answer:
204+272+9
Step-by-step explanation:
Which One Doesn't Belong:
A. 1 + 1/2
B. 6/4
C.3/4
D.30/20
Answer:
30/20
Step-by-step explanation:
Which of the following equations can be used to model the number of meals someone will eat over a period of time if they eat three meals a day?
Answer:
1
Step-by-step explanation:
Answer:
3t + 5 = 32
and
3t+ 2 = 20
Step-by-step explanation:
i got it right :)
Solve the algebraic equation
11 = 3 - 7x
Answer:
-8/7 =x
Step-by-step explanation:
11 = 3 - 7x
Subtract 3 from each side
11-3 = 3-7x-3
8 = -7x
Divide each side by -7
8/-7 = -7x/-7
-8/7 =x
Answer:
x= -8/7
Step-by-step explanation:
1. subtract 3 from both sides
2. divide both sides by 7 to isolate x
3. multiply both sides by -1 so x can become positive
An x-box cost $230 but is discounted 28%. What is the new cost of the x-box?
The new cost of the Xbox is $165.60
1.00 - 0.28 = 0.72
0.72 * 230 = 165.60
Simplify (6^7)^3.
A. 6^21
B. 42^3
C. 6^10
D. (1/6)^21
Answer:
A. 6^21
Step-by-step explanation:
When you see a parenthesis in which the number inside has a power, and there is a power outside the parenthesis, you multiply the powers.
(6^7)^3 = 6^(7 * 3) = 6^21
A. 6^21 is your answer.
~
Answer:
A. 6^21
Step-by-step explanation:
HELP PLEASEE EASY QUESTION
Which statements are true about the polynomial function?
f(x)=x3−x2−4x+4
Select each correct answer.
f(x)=0 when x=−1 .
f(−1)=0
(x−1) is a factor of f(x) .
f(x) divided by (x−1) has a remainder of 0.
Answer:
D. f(x) divided by (x−1) has a remainder of 0.
C. (x−1) is a factor of f(x) .
Step-by-step explanation:
Just took a test with this question these are the answers!
The statements that are true about the polynomial function are;
(x−1) is a factor of f(x). f(x) divided by (x−1) has a remainder of 0.Given the polynomial function [tex]f(x)=x^3-x^2-4x+4[/tex]
If x = -1, hence;
[tex]f(-1)=(-1)^3-(-1)^2-4(-1)+4\\f(-1)=-1-1+4+4\\f(-1)=-2+8\\f(-1) =6[/tex]
This shows that f(x) ≠ 0 when x = −1 .
To check if x - 1 is a factor, we will substitute x = 1 into the function and check if the result is zero as shown:
[tex]f(1)=1^3-1^2-4(1)+4\\f(1)=1-1-4+4\\f(1) =0[/tex]
This shows that (x−1) is a factor of f(x).This also shows that if f(x) divided by (x−1) has a remainder of 0.
Learn more here: https://brainly.com/question/18820029
Write the
slope-intercept form
of the equation of the
line described:
Perpendicular to y=x+4 and passes through the point (2,2)
Answer:
y=-1x+4
Step-by-step explanation:
On average, Joanne writes
9 emails per day. How long
will it take Joanne to write
279 emails?
Answer:
It will take 31 days (4 weeks and 3 days) to write 279 emails
Step-by-step explanation:
279 emails ÷ 9 emails per day = 31 total days to write 279 emails
Simplify 3-8 divided by 3-2
Answer:
-5
Step-by-step explanation:
[tex] \frac{3 - 8}{3 - 2} [/tex]
[tex] \frac{ - 5}{1} [/tex]
[tex] - 5[/tex]
How is the Remainder Theorem related to the process of synthetic division?
Answer:
The Remainder Theorem states that f(c) = the remainder. So if the remainder comes out to be 0 when you apply synthetic division, then x - c is a factor of f(x). by x - 2. Use the result to find all zeros of f
15 less than a number is equal to 12
Answer:
Step-by-step explanation:
x - 15 = 12
x = 27
you drink a beverage with 120 mg of caffeine. Each hour, the amount m of caffine in a persons system decreases by 12%. About how much caffeine will be in your system after 3 hours? Round your answer to the nearest milligram
Answer:43.2
Step-by-step explanation: multiply 120 x 0.12 and you get 14.4, since it’s 3 hours multiply 14.4 3 times and u get 43.2
The scatterplot shows the relationship between the number of slices of pizza eaten by each member of a football team (x) and the number of laps around the block the player could run immediately afterward (y). The equation of the regression line shown on the graph is y = 10 – 0.67x:
Use the equation above to predict the number of laps a player who ate 7 slices can run.
Answer:
5.31
Step-by-step explanation:
Given the regression line equation, [tex] y = 10 - 0.67x [/tex], where,
x = number of slices of pizza eaten
y = number of laps run immediately
Number of laps run by a player who ate 7 slices of pizza can be predicted by plugging in x = 7 into the regression line equation to find y:
[tex] y = 10 - 0.67x [/tex]
[tex] y = 10 - 0.67(7) [/tex]
[tex] y = 10 - 4.69 [/tex]
[tex] y = 5.31 [/tex]
how many inches smaller is a 13.26 inch worm than a 14.13 inch worm
How to write Eight more than four times a number is -12 as an equation
Step-by-step explanation:
4x +8=-12 is the answer
I’m just testing to see how long it takes for someone to answer. Please answer!!!
Answer:
Um, hi...do you have a question at all??
Step-by-step explanation:
If the tax rate is 7%, what is the tax on a $60 stuffed animal?
Answer:
$4.20
nice
Step-by-step explanation:
what is the tenth term in the sequence 25, 43, 61, 79, 97,....? a)187, b)151, c)133, d)115
Answer:
The tenth term would be: 187
Step-by-step explanation:
Best to make a table and apply the rule being used in order to find the pattern. The rule in this case is:
25 --- 43 --- 61 --- 79 --- 97--- ___ --- ___ --- ___ and so on
First we must find how 25 gets to 43, 61 to 79, and so on.
25 + 18 = 43
43 + 18 = 61
61 + 18 = 79
97 + 18 = 115
And you may continue this till you get to the tenth term!
6) 115
7) 133
8) 151
9) 169
10) 187
This is your answer!
A)
Answer:
A.187
Step-by-step explanation:
True or false the ordered pair (3,28) is a solution to the equation 3x-2y=-8
Answer:
true.................................
What is The opposite of -4
