Chris borrows £6000 at a simple interest rate of 10% per year.
He pays the money back after 4 years.
How much does he pay back in total?
9514 1404 393
Answer:
£8400
Step-by-step explanation:
The amount due after t years is ...
A = P(1 +rt)
A = £6000(1 + 0.10·4) = £6000·1.40
A = £8400
Chris pays back £8400 in total.
Lincoln middle school plans to collect more than 2,000 cans of food in a food drive. So far, 668 cans have been collected. Write and inequality to find numbers of cams the school can collect on each of the final 7 days of the drive to meet this goal
Answer:
The answer is "[tex]\bold{668 + 7x > 2,000}[/tex]"
Step-by-step explanation:
7x = x is the cans obtained within 7 days 668 is the number of cans that are already obtained. Its number for goal cans is 2000. So, the equation is:
[tex]\to 7 x + 668 < 2000[/tex]
subtract and add the value 668:
[tex]- 668 \ \ \ \ \ -668[/tex]
[tex]\to 7x +0 < 1332[/tex]
Divide the value 7:
[tex]7 \ \ \ \ \ \ 7[/tex]
[tex]\to x < 190.30 \\\\OR\\\\\to x < 190\\\\[/tex]
Identify the area of the polygon that has vertices T(−3,1), S(−5,−4), A(−8,1), and N(−4,5)
Answer:
22.5
Step-by-step explanation:
The area of the polygon ABCD is 3/2 square units.
What is polygon?"It is two dimensional geometric figure having finite sides and vertices." A polygon is a two-dimensional geometric figure that has a finite number of sides. The sides of a polygon are made of straight line segments connected to each other end to end. Thus, the line segments of a polygon are called sides or edges.
here, we have,
we know that,
formula to find the area of the polygon:
"If polygon having vertices (x1, y1), ....(xn,yn) then the area of the polygon is,
A = 1/2 * | (x1y2 - x2y1) + ( x2y3 - x3y2) + .....+ (xny1 - ynx1)
This formula is also known as shoelace formula."
For given example,
the polygon has vertices T(−3,1), S(−5,−4), A(−8,1), and N(−4,5)
Consider given vertices of polygon as,
(x1, y1) = (−3,1)
(x2, y2)=(−5,−4)
(x3, y3)=(−8,1)
(x4, y4)=(−4,5)
Using the formula of area of the polygon the area of the polygon ABCD would be,
A = 1/2 * | (x1y2 - x2y1) + ( x2y3 - x3y2) + .....+ (x4y1 - y4x1)
so, solving we get,
A = 1/2 | 17 + 27 - 36 -11|
A = 3/2
Therefore, the area of the polygon ABCD is 3/2 square units.
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Please help! I will give Brainly (don’t know how to spell the word)
20% of Ms. Royal's students came to class late. If 3 students came late to
class, how many students does Ms. Royal have in her class?
Answer:
15 students
Step-by-step explanation:
i just used multiplication
Answer:
15 students
Step-by-step explanation:
20% is 1/5
So is 3 is 1/5 you multiply 3 by 5 (since 1/5 is 3 and to find 5/5 its you need a full 5/5)
3*5 = 15
8w + 4 > 12, i need help
8w + 4 > 12
-4 -4
8w > 8
/ /
8 8
w > 1
W is anything less than 1.
8w + 4 > 12
- 4 - 4 subtract -4 to both sides.
_________
[tex]\frac{8w}{8}[/tex] > [tex]\frac{8}{8}[/tex] divide 8 to both sides, 8's will cancel on the left side.
[tex]w[/tex] > [tex]1[/tex]
A.
18 cm
B.
40 cm
C.
20 cm
D.
36 cm
Answer:
C
Step-by-step explanation:
108/(108-72) = 108/36 = 3
60/3 = 20
Ten years ago, Victor's age was half of the age he will be in 10 years. How old is he
now?
Answer:
It's the same
Step-by-step explanation:
Cause im smart
Present age of the Victor as per given condition of the equation formed is equals to [tex]30[/tex] years.
What is equation?" Equation is defined as the relation between the variables and numbers using the sign of equality."
According to the question,
[tex]'x'[/tex] represents the present age of the Victor
[tex]'x+10'[/tex] represents the age of the Victor 10 years now
[tex]'x-10'[/tex] represents the age of the Victor 10 years ago
As per condition given equation we get,
[tex]x-10 = \frac{1}{2} (x+10)[/tex]
Simplify the equation to get the present age ,
[tex]2(x-10) = x+10\\ \\\implies 2x-20 = x+10\\\\\implies 2x-x = 20 +10\\\\\implies x =30[/tex]
Hence, present age of the Victor as per given condition of the equation formed is equals to [tex]30[/tex] years.
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Is this table linear
Answer:
yesZ?
Step-by-step explanation:
Answer: Yes the table above is indeed linear
Step-by-step explanation:
Just trust
A lemonade recipe calls for 1/4 cup of lemon juice for every cup of water what does x represent
Answer:
X represents the amount of cups of water
Answer:
x represents the number of cups of water.
Step-by-step explanation:
The recipe calls for ¹/₄ cups of lemon juice per 1 cup of water. This means the amount of lemon juice is dependent on the amount of water. In most functions, x is the independent variable and y is the dependent variable. Since the number of cups of lemon juice is dependent on the number of cups of water, the lemon juice represents y...
...and the water represents x.
I hope this helps you understand more! Have a great day!
9. I NEED HELP ASAP!! PLEASE PUT AND ANSWER AND STEP BY STEP EQUATION!! IF YOU DON'T KNOW THE ANSWER DON'T PUT ANYTHING!!
Write a rule for the linear function in the table.
A. f(x) = 4x
B. f(x) = 4 – x
C. f(x) = x – 4
D. f(x) = x + 4
3 divided by 8. What is the dividend?
Answer:0.375
Step-by-step explanation:
What is the dividend? the question
When using substitution to solve systems of equations that have no solution or indefinitely many solutions, the variable terms are the same on both sides. How is the solution determined by the constants in the equations?
Answer:
e
Step-by-step explanation:
When using substitution to solve systems of equations that have no solution or indefinitely many solutions, the variable terms are the same on both sides. How is the solution determined by the constants in the equations?
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3x - 12 = 3x + 1
help please
Answer:
There's no solution to this equation, when 2 equations have the same slope but different y-intercepts, they're parallel. This means they never intercept and there is NO solution and we can't solve for x.
Jacksons kitty weighed 2 pounds and 3 ounces a month later the kitty weighed 56 ounces how much weight did the kitty gain in that month
Answer:
21 ounces
Step-by-step explanation:
2 pounds→ convert to ounces= 32
32 ounces+ 3 ounces= 35
56 ounces-35 ounces= 21 ounces
Answer:
21 ounces
Step-by-step explanation:
1 pound=16 ounces
16 x 2=32
32+3=35
56-35=21
Josh is building bookshelves to sell at a furniture store. First he built three small bookshelves and one large bookshelf using a total of 136 nails. Later he built nine small bookshelves and eight large book shelves using a total of 698 nails. How many nails does Josh used to build the shelves
Answer:
Step-by-step explanation:
Josh is building bookshelves to sell at a furniture store. First he built three small bookshelves and one large bookshelf using a total of 136 nails. Later he built nine small bookshelves and eight large book shelves using a total of 698 nails. How many nails does Josh used to build the shelves
Priya has completed 9 exam questions. This is 60% of the questions on the exam.
How many questions are on the exam? *
A. 12
B. 15
C. 16
Answer:it’s 15
Step-by-step explanation:because think about it if it was 12 it wouldn’t be 60% it would be 70%
They made $835 in ticket sales
145 people bought tickets
child tickets were $4
adult tickets were $7
how many of each type ticket was sold
Write an equation of the line with a slope of 23and y-intercept of −8.
y=
Answer:
y=23x-8
Step-by-step explanation:
Use the formula y=mx+b
y-intercept is b which is -8
the slope is m which is in this case 23
Easy peasy!
does anyone have a private server on royal high I need the new set pls
Answer:
Nope but I hope you find one soon. -Your friend, Bill Cipher
Step-by-step explanation:
Answer:
I do!! My user is; AngelCookiesSmiles. c:
Step-by-step explanation:
Find an explicit formula for the geometric sequence 96, 24, 6, 1.5, ....
Note: the first term should be b(1).
b(n)=
Answer: 96•(1/4)^n-1
Step-by-step explanation:
help please !! solve for x
Answer:
The value of x=4.5
Step-by-step explanation:
4.5+x=9
or, x=9-4.5
or, x=4.5
Can someone plz help me ?
Answer:
Slope: −10
y-intercept: (0,60)
Equation: y = −10x + 60
Step-by-step explanation:
Find the equation using point-slope formula.
Use the slope-intercept form to find the slope and y-intercept.
I need help with geometry
Answer:
45 is the answer
Step-by-step explanation:
first you have to know the sum of interior angle of that pentagon (540)
then add the all angle.
148 + x + 112 + 90 + 3x + 10 = 540.
or, 360 + 4x = 540
or, 4x = 540 - 360
or, 4x = 180
or, x = 180/4
or, x = 45
hope it will help you☺✌
When looking at a graph where do you find the roots of an equation?
Answer:
The points at which the graph crosses or touches x- axis, give the real roots of the function (or zeros of the function) represented by the graph. If the graph touches x-axis and turns back, then it would be a double root at that point.
Step-by-step explanation:
I HOPE THIS HELPS* :)
5 movie tickets cost $55. At this rate, what is the cost per ticket?
Please help i really need it
Answer:
11
Step-by-step explanation:
55/5 equals 11
Answer:
11
Step-by-step explanation:
55 divided by 5 equals 11
A can contains 414 mL of chicken broth. Rick poured 4 cans of broth into a pot for a soup recipe. How many liters of broth did Rick pour in the soup? 16.56 L 4.14 L 1.656 L 0.1656 L
Answer:
Amount of chicken broth used = 1.656 L
Step-by-step explanation:
Given:
Amount of chicken broth in 1 can = 414 ml
Number of can Rick use = 4 cans
Find:
Amount of chicken broth used
Computation:
Amount of chicken broth used = Amount of chicken broth in 1 can x Number of can Rick use
Amount of chicken broth used = 414 x 4
Amount of chicken broth used = 1,656 ml
Amount of chicken broth used = 1.656 L
The fish population in a local stream is decreasing at a rate of 3% per year. The original population was 48,000. Write an exponential function to model this situation. Then find the population after 7 years.
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Decrease rate (d)= 7%
Number of periods (n)= 7 years
Current population (PV)= 48,000
First, to calculate the future value, we need to use the following decrease exponential formula:
FV= PV*[(1+d)^-n]
After 7 years:
FV= 48,000*(1.07^-7)
FV= 29,892
The fish population after 7 years is 38783
An exponential decay is in the form:
y = abˣ;
where y, x are variables, a is the initial value of y and b is < 1
Let y represent the fish population after x years.
Since there is initially 48000 fish, hence a = 48000. Also it decrease at a rate of 3% per year. Hence b = 100% - 3% = 97% = 0.97
Therefore:
y = 48000(0.97)ˣ
After 7 years:
y = 48000(0.97)⁷ = 38783
Therefore the fish population after 7 years is 38783
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HELPPPP DUE IN 15 MINS!!!!
Triangles ABC and DEF are similar. Find x.
Answer:
8.57
Step-by-step explanation:
We can calculate the value of x using similarity ratio
11/7 = (15 + x)/(15) cross multiply expressions
105 × 7x = 165 subtract 105 from both sides
7x = 60 divide both sides by 7
x = 8.57 approximately
Tom needs 2 tablespoons of cleaning product for every 5 quarts of water. How many tablespoons of cleaning product would he need for 4 quarts of water?
Answer:
The answer is 256 :)
Step-by-step explanation:
You multiply the volume by 64
Select all the situations that describe adding or subtracting opposites to make zero.
7°F increased by 0°F
7°F decreased 0°F
7°F increased by 7°F
7°F decreased by 7°F
-7°F increased by 7°F
-7°F decreased by 7°F