Answers
Answer:
6: 56
Step-by-step explanation:
Related Questions
Colin invests £2350 into a savings account. The bank gives 4.2% compound
interest for the first 4 years and 4.9% thereafter. How much will Colin have after
10 years to the nearest pound?
Answers
Answer:
£3691 (nearest pound)
Step-by-step explanation:
Consider the rate of compound interest is r and the initial amount of savings is P, hence
[tex]P \ + \ P \ \times \ r \ = \ P \ (\ 1 \ + \ r \ ) \qquad (Final \ amount \ for \ the \ 1st \ year ) \\ \\ \ P \ (\ 1 \ + \ r \ ) \ + \ P \ (\ 1 \ + \ r \ ) \ \times \ r \ = \\ \ P\ ( \ 1\ + \ r \ ) \ ( \ 1 \ + \ r \ ) \ = \ P \ {( \ 1 \ + \ r \ )}^2 \qquad (Final \ amount \ for \ the \ 2nd \ year) \\ \\ \ P \ {(\ 1 \ + \ r \ )}^2 \ + \ P \ {(\ 1 \ + \ r \ )}^2 \ \times \ r \ = \\ \ P\ {( \ 1\ + \ r \ )}^2 \ ( \ 1 \ + \ r \ ) \ = \ P \ {( \ 1 \ + \ r \ )}^3 \\ \\ (Final \ amount \ for \ the \ 3rd \ year)...[/tex]
Therefore, the final amount of savings after nth years of compund interest is
[tex]P \ {( \ 1 \ + \ r \ )}^n[/tex].
Given that 4.2% compound interest was used for the first 4 years to a savings of £2350, thus
[tex]Final \ amount \ for \ the \ first \ 4 \ years \ = \ 2350 \ {( \ 1 \ + \ \frac{4.2}{100} \ )}^4 \ = \ 2770.36[/tex]
Then, taking the final amount of savings previously into an initial amount for the next 6 years with 4.9% compound interest.
[tex]2770.36 \ {( \ 1 + \frac{4.9}{100} \ )}^6 \ = \ 3691.40 \ = \ 3691 \ (nearest \ pound)[/tex]
what is 25% off $27
Answers
Answer:
6.75 $
Step-by-step explanation:
25%
= 25 / 100
= 1 / 4
25% of $ 27
= ( 1 / 4 ) x ( 27 )
= ( 1 x 27 ) / 4
= 27 / 4
= 6.75 $
Answer:
$20.25
Step-by-step explanation:
[tex] \sf2 + 63 - 36 - 2[/tex]
Here's some points ~
Answers
Bye hope this help!
A pet store sold 36 Siamese cats. If the ratio of Siamese cats to house cats sold was 4:9, what is the combined amount of cats sold
Answers
The combined amount of cats sold is 117.
Ratio expresses the relationship between two variables. It shows the frequency of which that one value is contained within another variable.
The ratio of Siamese cats to house cats = 4 : 9
Number of Siamese cats = 36
Number of combined cats = c
This equation can be formed using the above information:
4/13 x c = 36
4c = 468
c = 468 / 4
c = 117
A similar question was answered here: https://brainly.com/question/411732
What is the exact value of tan(−π4)?
Enter your answer in the box.
Answers
Answer:
What is the exact value of tan(−π4)? is 20
IF YOUR QUESTION IS...
What is the exact value of tan(-pi/4)?
Answer: -1
5/6 divided by 3/4 in simplest form
Answers
Answer: The answer is 1 1/9.
Explanation: Multiply the numerator by the reciprocal of the denominator(5/6 x 4/3). Cancel the common factor of 2, then multiply 5/3 x 2/3. The result is 10/9, which is an improper fraction which should be converted to the mixed fraction 1 1/9.
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Answers
Scale down 1/2 and a 180 degree flip
Hey y’all, please help me with this.
Answers
Answer:
Select all numbers greater to or equal to 48. (48, 49, 51, 53, 58)
x ≥ 48
Step-by-step explanation:
If you divide both sides by two because you have a 2x and you need to get a single x, you would get x ≥ 48 (96 divided by 2) you would select all numbers greater to or equal to 48.
Answer:
48, 49, 51, 53, 58
Step-by-step explanation:
Equivalent inequality
96 ≤ 2x
A small town has two local high schools. High School A currently has 800 students and is projected to grow by 55 students each year. High School B currently has 950 students and is projected to grow by 25 students each year. Let AA represent the number of students in High School A in tt years, and let BB represent the number of students in High School B after tt years. Write an equation for each situation, in terms of t,t, and determine the interval of years, t,t, for which High School A will have more students than High School B.
Answers
Answer:
40
Step-by-step explanation:
2x+y=−1.5
y=3.5x+15.
Answers
Answer:
x=-3, y=4.5
Step-by-step explanation:
You want to make sugar cookies and chocolate chip cookies. You have only one dozen eggs and 20 cups of flour. For each batch of sugar cookies you need 1 egg and 2 cups of flour, for chocolate chip cookies you need 2 eggs and 2 cups of flour per batch. You know you need to make at least 3 batches of sugar cookies. How many of each type should they make to get the best profit?
Answers
Answer:
check online for more information
The number of purchases made on a new online store is modeled by
p(d) 15d + 45, where d is the number of days since the store opened.
The average amount spent in dollars per purchase is modeled by
s(d) = 0.15d? – 4d + 80. Write a function R(d) to model the total daily
revenue. Then predict the total amount of revenue on the 23rd day.
-
Answers
The total amount of revenue on the 23rd day is 322.65
Given the following parameters:
purchases made p(d) = 15d + 45sales made s(d) = 0.15d² – 4d + 80The revenue will be exprssed as:
r(d) = s(d) - p(d)
r(d) = 0.15d² – 4d + 80 - (15d + 45)
r(d) = 0.15d² – 19d + 35
Hence a function R(d) to model the total daily revenue is r(d) = 0.15d² – 19d + 35
To get the total amount of revenue on the 23rd day, you will substitute t = 23 into the function
r(d) = 0.15d² – 19d + 35
r(23) = 0.15(23)² – 19(23) + 35
r(23) = 79.35 - 437 + 35
r(23) = -322.65
Hence the total amount of revenue on the 23rd day is 322.65
Learn more on function here: https://brainly.com/question/14307385
6. Kiara's father is paying for a $40 meal. He has a 20%-off coupon for the meal. After the discount, a 6% sales tax is applied. What does Kiara's father pay for the meal? Explain or show your reasoning.
Answers
Answer:
33.92
Step-by-step explanation:
40 x .2= 8
40-8= 32
32x.06=1.92
32+1.92= 33.92
over what interval function is this graph constant
Answers
my Christmas present to you
Answers
oh wow, thank you!
Hope you have a merry christmas!
What is the circumference of the top of the water buoy? Round your answer to the nearest tenth.
37.7 feet
28.3 feet
113.0 feet
84.8 feet
Answers
Answer:16.3 inches. What is the area of this plate? Use 3.14 for pi. Round to the nearest whole number.
Step-by-step explanation:
PLEASE HELP!! I need someone who know probability and statistics please.
A store manager claims that 60% of shoppers who enter her store make a purchase. To investigate this claim, she selects a random sample of 40 customers and finds that 40% of them make a purchase. She wants to know if the data provide convincing evidence that the true proportion of all customers who enter her store that will make a purchase differs from 60%. The P-value of this test is 0.0098. Interpret the P-value.
A. Assuming the true population proportion of shoppers who will make a purchase is 0.60, the probability of obtaining a sample statistic of 0.40 in a random sample of 40 customers is 0.0098.
B. Assuming the true population proportion of shoppers who will make a purchase differs from 0.60, the probability of obtaining a sample statistic of 0.40 in a random sample of 40 customers is 0.0098.
C. Assuming the true population proportion of shoppers who will make a purchase is 0.60, the probability of obtaining a sample statistic as extreme as or more extreme than 0.40 in a random sample of 40 customers is 0.0098.
D. Assuming the true population proportion of shoppers who will make a purchase is different from 0.60, the probability of obtaining a sample statistic as extreme as or more extreme than 0.40 in a random sample of 40 customers is 0.0098.
Answers
6 remainder 1 as a fraction
Answers
Erick paid a $75 registration fee to join the gym. He pays $15 each month.
How much will Erick pay to use the gym for 5 months?
Answers
Answer:
$150
Step-by-step explanation:
Erick has to pay $15 per month so for 5 months he will have to pay $75 because 15 times 5 is 75. So $75 for registration fee + $75 for 5 months to use the gym give us $150
i need help asap)))))))))))))))))))))
Answers
Answer: a
Step-by-step explanation:
u do 1+1
Write 6(2x + 4) – 2(x + 7) +5 in the form a(bx+c)
where a, b and c are integers
and a > 1
Answers
Answer:
5(x + 3)
Step-by-step explanation:
6(2x + 4) - 2(x + 7) + 5
12x + 24 - 2x - 14 +5
10x + 24 - 9
10x + 15
5(x + 3)
The perimeter of a rectangle is 18 inch. The length is three inches more than width. What is length?
Answers
Answer:
6 inches.
Step-by-step explanation:
If the width is x inches then the length is x + 3.
S0
Perimeter = 2x + 2(x +3)
18 = 2x + 2x + 6
4x = 18 - 6 = 12
x = 3.
So the length = 6 inches.
Perimetre = 18 inch
Let the width be x
length = x+3
Perimetre of rectangle = 2(length+width)
18 = 2[(x+3)+x]
18 = 2(2x+3)
18 = 4x+6
4x = 18 - 6
4x = 12
•°• x = 12/4 = 3
Length = x+3 = 3+3 = 6
•°• The length of rectangle is 6 inch.
here's another one
Answers
Answer:
Supplementary Angles
x = 62
Step-by-step explanation:
Supplementary angles equal 180.
180 - 118 = 62
I hope this helps!
Grade 4c left their school at7:30 am for their trip to the market. They return at 10:45 am how much time did they spend on the trip?
Answers
Step by step explanation:
10:45
-7:30
———
3:15
Ryan and Taylor are both saving money to buy new video game equipment. Ryan's savings plan can be modeled by the function s= 15m + 50 where m represents the number of months since Ryan started his plan, and s represents the amount of money saved in dollars. The table shown represents Taylor's savings plan.
Taylor's Savings Plan --- In the file (Picture).
a. Ryans rate of change is_________Taylor's rate of change.
b. Ryans starting balance is _________Taylor's starting balance.
Answers
a. Ryan's rate of change is $15 per month;
Taylor's rate of change is $20 per month
b. Ryan's starting balance is $50;
Taylor's starting balance is $25.
Recall:
A linear function is modelled by the equation, y = mx + b, where m is the rate of change and b is the initial value (starting value).Rate of change = change in y/change in xRyan's Savings Plan Function:
s = 15m + 50
Thus, the starting value (starting balance) modelled by this function is $50
The slope/rate of change is $15 per month
Taylor's Savings Plan:
Given the table, the starting value will be the amount saved (initial value) at 0 number of months.
Therefore, Taylor's starting balance is: $25Using (0, 25) and (1, 45) find the rate of change:
Rate of change = (45 - 25)/(1-0) = 20/1 = $20In summary:
a. Ryan's rate of change is $15 per month;
Taylor's rate of change is $20 per month
b. Ryan's starting balance is $50;
Taylor's starting balance is $25.
Learn more about linear function on:
https://brainly.com/question/15602982
-3/10 + 4/15
Solve the above problem
Answers
Answer:
-1/30
Step-by-step explanation:
find the lcm of 10 and 15
then solve it
Are these geometric shapes ASA, SSS, SAS or None?
I WILL GIVE BRAINLIEST TO BEST ANSWER!
refer to image.
Answers
Answer:
4)ASA
6) ASA
2) SSS
8) SAS
Step-by-step explanation:
numbers 4 and 6 are ASA because we have 2 congruent angles and one congruent side. Also, they r in the pattern angle, side, angle. Which makes it ASA
number 2 is SSS because all 3 sides are congruent
number 8 is SAS because because there are 2 congruent sides and one congruent angle. They are seen in the pattern side, angle, side. Which makes it SAS
hope that helps and I apologize about earlier
have a wonderful day!
Answer:
2) None, 4) ASA, 6) ASA, 8) ASAStep-by-step explanation:
#2We have two parallel sides.
This gives us two pairs of alternate interior angles and one pair of vertical angles.
In total 3 congruent angles. This is not enough to state congruence.
None
#4We have two pairs of congruent angles and an included common side.
This is good to state the triangles are congruent by ASA
#6Similarly to above question, we have two pairs of congruent angles and an included common side.
This is good to state the triangles are congruent by ASA
#8We have one pair of congruent sides and the parallel sides gives us two pairs of alternate interior angles and a pair of vertical angles.
We can state the triangles are congruent by ASA as the congruent side is included.
On Thursday, a local hamburger shop sold a combined total of 444 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Thursday?
Answers
Answer:
They sold 111 Hamburgers
Step-by-step explanation:
Turn this into an equation: first, take the amount of hamburgers and call it 3x due to it being 3 times more than the amount of cheeseburgers, which we will can call x.
So, X+3X=444 is what you need to solve this. This is the same as 4x=444
So, x=111
Now, Input 111 for the final answer; 333 cheeseburgers and 111 hamburgers
What is the height of a triangle with an area of 67. 5 square meters and a base of 9 meters?.
Answers
The height of the triangle is 15 meters.
A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.
Types of triangles
Right triangle Equilateral triangle Isosceles triangle Scalene triangleArea of a triangle = 1/2 (base x height)
height = (2 x area ) / base
(2 x 67.5) / 9
= 135 / 9
= 15 meters
Please find attached an image of a triangle. A similar question was answered here: https://brainly.com/question/7655890
To join the tennis club, there is a $18.50 initial fee and a $1.10 yearly fee. What would be the value of the y-intercept in this situation?
Answers
Y = 18.50
Please tell me if it is right XD <3