The amount of money Candy started with after spending on drinks and cakes is £7.95
How to find the amount of money she started with?She bought a drink for £1.45 and a piece of cake for £1.20.
She has two thirds of here money left.
Let the money she has initially = x
Therefore,
2 / 3 x = x - 1.45 - 1.20
2 / 3 x = x - 2.65
subtract x from both sides
2 / 3 x - x = - 2.65
2x - 3x / 3 = - 2.65
- x / 3 = - 2.65
cross multiply
-x = - 2.65 × 3
- x = -7.95
x = £ 7.95
Therefore, Candy started with £7.95
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describe the slope of the line (-3,1) and (2,-2)
Answer:
1,5
Step-by-step explanation:
You do 2-1 which is 1
Then do 2-(-3) which is 5 so the answer is (1,5)
4. Eddie invests £4000 into a savings account, the bank pays him 4% compound
interest per annum. At the end of n years he has £4679.43 to the nearest
penny. What is the value of n?
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\pounds 4679.43\\ P=\textit{original amount deposited}\dotfill &\pounds 4000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per annum, thus once} \end{array}\dotfill &1\\ t=years \end{cases}[/tex]
[tex]4679.43=4000\left(1+\frac{0.04}{1}\right)^{1\cdot t}\implies \cfrac{4679.43}{4000}=(1.04)^t \\\\\\ \log\left( \cfrac{4679.43}{4000} \right)=\log(1.04^t)\implies \log\left( \cfrac{4679.43}{4000} \right)=t\log(1.04) \\\\\\ \cfrac{\log\left( \frac{4679.43}{4000} \right)}{\log(1.04)}=t\implies 4\approx t[/tex]
please help me lol a lil confused
[tex] \leadsto f( \rm x) = - (x - 3)(x - 5)[/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto f( \rm x) = - ( {x}^{2} - 5x - 3x + 15) \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto f( \rm x) = - ( {x}^{2} - 8x + 15) \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto f( \rm x) = - {x}^{2} + 8x - 15 \\ [/tex]
Answer:
3rd option is correct
Step-by-step explanation:
hope this helps you :)
What sum is represented by the following number line?
A.) 2 3/4 +(-4 3/4) =-1 2/4
B.) 2 3/4 + (-4 1/4) = -1 2/4
C.) -1 1/2 + 2 3/4 = 4 1/4
D.) 2 3/4 + (-3 1/4) = -1 2/4
Answer:
B.) 2 3/4 + (-4 1/4) = -1 2/4
Step-by-step explanation:
blue line: forward with positive +[tex]2\frac{3}{4}[/tex]
red line: backward with negative -[tex]4\frac{1}{4}[/tex]
so the number line follows: [tex]2\frac{3}{4}[/tex] + -[tex]4\frac{1}{4}[/tex] = -1 2/4
Step-by-step explanation:
Mark the end of arrows
2-3/4-4-1/4So add them
[tex]\\ \tt\hookrightarrow 2\dfrac{3}{4}+(-4\dfrac{1}{4})=-1\dfrac{2}{4}[/tex]
Simplify the following expression 5(m+1)-1
[tex]5(m + 1) - 1 \\ 5m + 5 - 1 \\ 5m + 4[/tex]
Answer:
5m+4
Step-by-step explanation:
jayden and chandra are cleaning the house. it has 12 rooms, and each room is about the same size. when jayden cleans by himself, it takes him 6 hours. when chandra cleans by herself, it takes her 12 hours. when they clean the house together, they finish in 4 hours. when they work together, how many rooms does jayden clean and how many does chandra clean?
Jayden's work rate is twice Chandra's work rate, and, the rooms cleaned
by Jayden is twice the number of rooms cleaned by Chandra.
Response:
Jayden cleans 8 rooms while Chandra cleans 4 roomsWhich method can be used to find the number of rooms cleaned by Jayden and Chandra?Number of rooms in the house = 12
The time that Jayden takes to clean the house = 6 hours
Time that it takes Chandra to clean the house by herself = 12 hours
Time it takes both of them to clean the house = 4 hours
Required:
The number of rooms that Jayden clean and the number of rooms that
Chandra cleans when they work together.
Solution:
Given that the time it takes Jayden to clean the house is half the time
taken by Chandra.
Therefore;
The number of rooms Jayden cleans in 4 hours is twice the number of rooms cleaned by Chandra, which gives;
Ratio of the number of rooms cleaned by Jayden to the number cleaned by Chandra is 2 : 1
Total number of rooms cleaned = 12
[tex]Number \ of \ rooms \ cleaned \ by \ Jayden = \dfrac{2}{2 + 1} \times 12 = \underline{8 \ rooms}[/tex]
The number of rooms cleaned by Chandra = 12 - 8 = 4 rooms
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HELP! Problem- Tim has a rectangular garden with an area of 36.63 square meters. The length of the garden is 4.5 meters. What is the width, in meters, of the garden?
A. 8.14
B. 11.42
C. 12.16
D. 30.62
find the nth term in the sequence:
-5, -2, 3, 10, 19
Answer:
75
Step-by-step explanation:
Start by adding 3 then each time add an odd number to the sequence
First time add 3 then add 5 then add 7 then add 9 etc.
so we have:
-5, -2, 3, 10, 19, 30, 43, 58, 75
so its 75
Please mark Brainliest :)
Answer:
The pattern in +3, +5, +7, +9, +11, +13, +15, +17, +19. . .
6th = 30
7th = 43
8th = 58
9th = 75
10th = 94
Square ABCD is divided into 5 rectangles that all have the same area. FH = 20 and CK = KD. Find the length of BE.
Answer:
8cm
Step-by-step explanation:
The area of a shape is the amount of space it can occupy.
The length of BE is 8 units
The question is incomplete.
So, I will give a general solution
Assume that the length BE is 2/5 of length FH.
Then the length BE would be:
BE = 2/5 * FH
Substitute 20 for FH
BE = 2/5 * 20
Evaluate the product
BE = 8
Using the assumed value, the length of BE is 8 units
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-4
-3
-2
-1
0
1
1
2
3
4
b.
12
5
0
-3
-4.
у
-30
5 12
Answer:
Linear Regression: y = 0x + 2.67
Quadratic Regression: y = 1x^2 + 0x - 4
Step-by-step explanation:
USE STATS CALCULATOR
Help me please I really need help ,,,,…
an employee earns 8% commission on the sale on clothing sold if she sells 4,500 with of clothing worth will help commission be
Answer:
360
Step-by-step explanation:
8% of 4500 is 360
Question is in the picture
What's the ratio for tan B
Answer:
C. [tex]tan(B) =2[/tex]
Step-by-step explanation:
Here we can see tan(B) has a opposite side of 2 and adjacent of 1.
[tex]tan(B) = \frac{opposite}{adjacent}[/tex]
[tex]tan(B) = \frac{2}{1}[/tex]
[tex]tan(B) =2[/tex]
Answer:
[tex]\textsf{tan(B)}=2[/tex]
Step-by-step explanation:
The trig ratio for tan is tan(x) = O/A
where x is the angle,
O = side OPPOSITE to the angle, and
A = side ADJACENT to the angle
For angle B:
O = 2
A = 1
Therefore, [tex]\textsf{tan(B)}=\frac{2}{1}=2[/tex]
0.9(x−20)=830
x=
0.9x+20=830
x=
Answer:
Step-by-step explanation:
1) x-20 = 830/0.9 = 8300/9
So x-20 = 8300/9 -> x=8300 /9 + 20 = 8480/9
2)try on your own
Find the next two terms in this sequence, 4,8 ,16
Answer:
32, 64
Step-by-step explanation:
There is a common ratio between consecutive terms , that is
[tex]\frac{8}{4}[/tex] = [tex]\frac{16}{8}[/tex] = 2
to obtain a term in the sequence multiply the previous term by 2
16 × 2 = 32
32 × 2 = 64
please help meeeeee
Grace takes out a loan of $9,573.00 at a 4% simple rate for 4 years. a) How much interest will be paid after 2 years? b) How much total interest will be paid for this loan?
#1
Time=T=2yrsInterest be I
[tex]\\ \rm\hookrightarrow I=PRT/100[/tex]
[tex]\\ \rm\hookrightarrow I=9573(4)(2)/100=76584/100=765.84\$[/tex]
#2
T=4yrs[tex]\\ \rm\hookrightarrow I=9573(4)(4)/100=153168/100=1531.68\$[/tex]
Answer:
a) $765.84
b) $1,531.68
Step-by-step explanation:
Simple interest formula: SI = PRT
where P = principal amount of loan, R = annual rate of Interest in decimal format, and T = Time.
Given:
P = 9573R = 4% = 4/100 = 0.04a) when T = 2:
SI = 9573 x 0.04 x 2 = 765.84
b) when T = 4:
SI = 9573 x 0.04 x 4 = 1531.68
If x - 5y = 6, what is the value of y when
X= -4?
A:-2
B-2/5
C:2/5
D:2
Answer:
I think the answer is D. 2
Answer:
The answer is A
Step-by-step explanation:
x is equal to - 4
so the the x is replaced by the- 4 and then you will group like- items
Divide both sides by - 5 to get - 2
Ramon read twice on Saturday. In the morning, he read for
1
2
hour. That afternoon, he read for
5
12
of an hour. How much time did Ramon spend reading on Saturday?
Answer:
if the numbers are separated by a fraction bar the response should be 11/12th of an hour on Saturday.
Step-by-step explanation:
1/2=6/12
5/12+6/12=11/12
Find the area of the shape.
Either enter an exact answer in terms of π or use 3.14and enter your answer as a decimal.
some one plssssss
Answer:
50.24 units^2
Step-by-step explanation:
A=(3.14)(4)^2
There are 50 lifeguards working at a beach on a certain day there were 20 lifeguards working what percent of the lifeguards were working that day
Answer: 40 percent
Step-by-step explanation:
To get percentage you divide the part by the whole, so you do 20 divided by 50, which is 40 percent.
A store manager gathers some demographic information from the store's customers. The following chart summarizes the age-related information they collected:
Age Number of Customers
< 20 <20 83
20-29 63
30-39 99
40-49 65
50-59 73
≥ 60 ≥60 69
One customer is chosen at random for a prize giveaway. (Round answers to 4 decimal places.)
a. What is the probability that the customer is at least 20 but no older than 59?
b. What is the probability that the customer is either older than 60 or younger than 40?
c. What is the probability that the customer is at least 60?
Using it's concept, it is found that the probabilities are as follows:
a) 0.6637.
b) 0.6947.
c) 0.1527.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there is a total of 83 + 63 + 99 + 65 + 73 + 69 = 452 customers.
Item a:
63 + 99 + 65 + 73 = 300 are at least 20 but no older than 59, hence:
p = 300/452 = 0.6637.
Item b:
83 + 63 + 99 = 245 are younger than 40.
69 are older than 60.
Hence:
p = (245 + 69)/452 = 0.6947.
Item c:
69 customers are at least 60, hence:
p = 69/452 = 0.1527.
More can be learned about the probability concept at https://brainly.com/question/15536019
Sandy bought a pair of shoes on sale for 40% off the original price and an additional 25% off the discounted price. If the shoes originally cost $60, what was the final cost, without tax, that Sandy paid for the shoes? (I ALREADY KNOW THE ANSWER. BUT I NEED THE WORK FOR THE ANSWER TO SHOW MY TEACHER) (the answer is $27)
The price is $27.00
Step-by-step explanation:
First you find 40% of 60 which is 24.
Next you subtract 24 from 60 (60-24) which equals 36.
Then you find 25% of the discounted price (36) which is 9.
Finally you subtract 9 from 36 (36-9) which is 27.
Conclusion:
So therefore the answer is $27.00.
I don't care if I get brainlyist just glad I could help :)
You are in need of a $7,500 loan, which you plan to repay over 5 years. Your credit score is currently 690. Using the rates and the online calculator below, determine how much your savings would be if your credit score were 700 instead of 690.
Answer:
$232.57
Step-by-step explanation:
1 year = 12 months
⇒ 5 years = 5 x 12 = 60 months
APR credit score of 700 or higher = 13.25%
(using the APR calculator) total payment over term of loan = $10,296.56
APR credit score of 699 or lower = 14.25%
(using the APR calculator) total payment over term of loan = $10,529.13
Savings = $10,529.13 - $10,296.56 = 232.57
What number is half way between –3 and 4 ?
Answer:
.5?
Step-by-step explanation:
I think I'm right.................maybe?????
I have 10 apples and lost 5 then got 5 more apples from my mom. My mom also gave me 20 oranges so i ate 12 oranges and 5 apples how many oranges do i have left over?
Answer:
you would have 8 oranges and 5 apples
A store pays $5 for a computer mouse and marks the price up by 45% what is the amount of the mark-up
Answer:
Mark-up = $2.25
Total price after mark-up = $7.25
Step-by-step explanation:
Well, 45% of $5 is $2.25, so now you just add that back to the total, which would be $7.25.
6 × 1 + 5 × 1/10 please answer
Answer: 13/2 or 6 1/2
Step-by-step explanation:
6 × 1 + 5 × 1/10
6 + 5 x 1/10 <-- Reduce 5 and 10 in 1/10 by the GCF, 5
6 + 1/2
Use 2 as a common denominator so multiply 6 by 2
12/2 + 1/2
13/2 or 6 1/2
Find the missing side lengths. Help pleaseee
Keisha is buying a pair of jeans that are regularly
$54.99. If they are on the clearance rack for 35%
off and sales tax is 7.2%, what is the total amount
she will pay?
Circle the smallest fraction:
1/4
1/5
5/16
1/3
Answer:
B
Step-by-step explanation:
1/4=25%
1/5=20%
5/16=31.25%
and 1/3=33%