Answer:
7
Step-by-step explanation:
Cynthia invests some money in a bank which pays
5% compound interest per year.
She wants it to be worth over £8000 at the end of 3
years.
What is the smallest amount, to the nearest pound, she can invest?
Answer:
£6911 is the smallest amount Cynthia should invest to get £8000 after three years
Step-by-step explanation:
lets Assume that amount needs to invested for three years = £ x Rate of Interest = R = 5% per year Duration in years = n = 3 year
Amount expected after three years when compounded annually = A = £8000 Formula for Amount of compound interest annually is a follows A = P( 1 + R/100)^n In our case Principal P = x , Amount A = 8000 , R = 5% and n = 3( since compounded annually). On substituting these values in above formula we get 8000 = x ( 1 + 5/100)^3 ⇒8000 = x ( 105/100)^3 ⇒8000 = x ( 21/20 )^3 ⇒(8000 × 20 × 20 × 20)/(21×21×21) = x ⇒x = 6910.70≈6911
Hence £6911 is the smallest amount Cynthia should invest to get £8000 after three years
Draw a triangle ABC with A(6,10), B(7,6), and C(10,7).
Translate it 5 squares left and 6 squares down to get A'B'C'.
Write the coordinates of the image.
Answer:
A(1,4) B(2,0) C(5,1)
What are the coordinates of the point labeled Q
Answer:
I have no example to go off
Step-by-step explanation:
How do you find the base of a cylinder?
Answer:
A cylinder is a solid figure with two parallel circles of the same size at the top and bottom. The top and bottom of a cylinder are called the bases. The height h of a cylinder is the distance between the two bases.
Step-by-step explanation:
Formula: Since the base of a cylinder is a circle, we substitute 2πr for p and πr2 for B where r is the radius of the base of the cylinder.
Which of the following best describes how the y values are changing over each interval?
x y
1 2
2 4
3 8
4 16
5 32
They are increasing by 2 each time.
They are increasing by 4 each time.
They are being multiplied by 2 each time.
They are being multiplied by 4 each time.
Answer: They are being multiplied by 2 each time
Step-by-step explanation:
2x2=4 4x2=8 8x2=16 16x2=32
Answer:
They are being multiplied by 2 each time
Step-by-step explanation: hope it helps ^w^
Sumita is following this recipe to make flapjacks.
Sumita uses 25 g of sultanas.
How many flapjacks is Sumita making?
Recipe: Makes 14 flapjacks
250 g margarine
175 g sugar
125 mL syrup
250 g oats
50 g sultanas
Answer:
7......do you need explanation?
3
A specific shade of paint requires 3 part red to 5 parts blue. How
much blue paint must be added to 2 cups of red paint to create the
desired shade?
a. 1 1/5c
b. 3 1/3c
C. 40
d. 5c
A rectangular prism has a volume of 160 cubic centimeters and a height of 4 centimeters. What is the area of its base?
Write the equation of a line (y = mx + b) that has the following characteristics:
Slope = -1 and passes through (2,-4)
I’m pretty sure it’d be y = -x - 2
lmk if it’s wrong.
what is the 34th term in the sequence 7,12,17
Answer:
172 is the 34th term
Given : A toy car is placed on the floor. Its movement details are given
Answer:
Given : A toy car is placed on the floor. Its movement details are given
To find : Distance covered by Car & graph to be plotted
Solution:
Start from rest
u = 0 at t = 0
Constant acceleration for 3 sec reaching velocity 4 m/s
V = U +at
=> 4 = 0 + a(3)
=>a = 4/3 m/s²
Distance here S = ut + (1/2)at²
S = 0 + (1/2)(4/3)3²
=> S = 6 m
deceleration of 0.5 m/s² for 4 sec
=> v = 4 - (0.5)4
=> v = 2 m/s
Distance here = 4(4) - (1/2) (0.5)4²
= 16 - 4
= 12 m
Total Distance = 6 + 12 = 18 m
Total Distance traveled by toy Car = 18 m
Graph attached
Learn more:
Figure given below shows the graph of velocity v ofparticle moving ...
brainly.in/question/11151179
Figure given below shows the graph of velocity v ofparticle moving ...
brainly.in/question/10432386
The graph represents Jason's speed on a recent trip. For which time ...
Step-by-step explanation:
There is a flu outbreak at your school that starts with 10 people. The number of ill students increases by 20% each hour. Write an exponential function to represent the total number of ill students, f(x), where x is the number of hours after the outbreak. How long does it take for at least 100 people to be ill with the flu?
please explain how you do the problem
thank you
Answer:
y = (10 * 0.2) ^ x
Y = (2)^x
Y = 2^x + 10
6.5 hours
Step-by-step explanation:
Y is the number of people at the school who have been infected with the flu. The 10 is the initial number of infected students which is a constant so it does not change. The 0.2 is the rate of increase, or 20%. The x exponent is the number of hours so that is a changing number. Your answer is 2 to the power of the number of hours which is x. Add ten after that to get your number. to get 100 people ill, it would take about 6.5 hours.
Given that a = 17 m and b = 7.6 m, work out X.
Give your answer rounded to 1 DP.
х
(Pythagoras longer side)
Answer:
Step-by-step explanation:
a^2+b^2=c^2
17^2+7.6^2=c^2
[tex]\sqrt{17^2+7.6^2}[/tex]=c
c=18.6214
corrected to 1dp= 18.6 m
PLEASE HELPPP!!! I will mark you the BRAINLIEST
What is the scale factor and how do you find it?
Please help me!! I need help
Answer:
c=l/--a^2+b^2=l/--45^2+20^2≈49.24429
Step-by-step explanation:
l/-- mean square root
^ means squared/ exponent
Answer:
Since they're asking you to find the missing sides "y" and "x" here's what you need to do....
Step-by-step explanation:
1) This is the 45-45-90 Triangle.
2) y = 20 becasue this is an isocelese triangle - meaning a triangle that has 2 sides of equal lengths!
3) in order to find x (which is the hyptoneus) you have to do
[tex]\sqrt{2}[/tex] * leg (use on of the legs)
= [tex]20\sqrt{2}[/tex]
also I think 45 degrees is there just to throw you off. And I'm pretty positive this is the correct answer, and i'm 100% sure that y = 20 is correct!
Round 23.542 to the nearest tenth.
Answer:
23.5
Step-by-step explanation:
Answer:
23.5
Step-by-step explanation:
Remember...
5 or more? raise the score, 4 and below let it rest
The number in the tenths place, in this case, is 5 and the number next to it is 4, and since 4 is less than 5, you do not round 5 up to 6, you simply leave it alone!
 examples on how you use is mathematics inside or outside of school
PLS HELP!! GIVING BRAINLIST!!
Fred is 4 times as old as Nathan and is also 27 years older than Nathan.
Let f be Fred's age and let n be Nathan's age.
Which system of equations represents this situation?
Answer:
f = 4n
f = n+27
Fred is 36 years old and Nathan is 9 years old.
n = 9
Step-by-step explanation:
Answer:
Step-by-step explanation:
Ooh I love these type of problems
Okay, here we go :
f = Fred and n = Nathan
f = 4n
f = n + 27
Above are the two equations (the words translated into algebra)
Now you can solve using substitution (any method works, but substitution is easiest for this problem)
4n = n + 27
3n = 27
n = 9
Since n = 9 substitute n into either equation
f = 4 * 9
f = 36
Fred is 36 and Nathan is 9
lol :)
Clarissa has 14 3/4 yards of fabric to cover another sofa and chair. The new sofa needs 9 1/6 yards of fabric and the new chair needs 4 1/3 yards of fabric. Estimate to decide if Clarissa had enough fabric. If so, how much fabric will she have left?
Answer:
śhĺò býò 1/2 ýāèd ļanid inch
For the function g(x) =10 x ^5/x-2, what is the inverse function?
Answer:
[tex]g^{-1}(x) =(\frac{x}{10})^{5} +2[/tex]
Step-by-step explanation:
So we have the function [tex]g(x)=10\sqrt[5]{x-2}[/tex]. To find the inverse, we first set the function equal to y:
[tex]y=10\sqrt[5]{x-2}[/tex]
Then, we switch all the y and x variables, like this:
[tex]x=10\sqrt[5]{y-2}[/tex]
Now, we solve for y to find the inverse function:
[tex]x=10\sqrt[5]{y-2}[/tex]
[tex]\frac{x}{10} =\sqrt[5]{y-2}[/tex]
[tex](\frac{x}{10})^{5} =y-2[/tex]
[tex](\frac{x}{10})^{5} +2=y[/tex]
[tex]y=(\frac{x}{10})^{5} +2[/tex]
[tex]g^{-1}(x) =(\frac{x}{10})^{5} +2[/tex]
The system of equations y = -2x+4 and
y = $x-3 is graphed below. What is the
solution to the system of equations?
Y
2
-1
Plsss help anyone
Answer:
The answer is (3,-2)
Step-by-step explanation:
[tex] \frac{1}{3} x - 3 = - 2x + 4 \\ \frac{1}{3} x + 2x = 7 \\ \frac{7}{3} x = 7 \\ x = 3 \\ then \: \\ y = - 2[/tex]
In the figure at the right points A,B,C are on OO, and mZACB=69°. What is the mZAOB?
A. 69° B. 138° C. 278° D. 360°
Answer:
I am not sure but A.69° . anything else but wrong answer sorry
Step-by-step explanation:
and thanks for you free points .
What would number 35 and 36 Be?
Answer:
35 c 36 d
Step-by-step explanation:
PLEASE HELP ITS DUE SOON, ILL GIVE BRAINLEST
Answer:
2
Step-by-step explanation:
(6*2.5)/6.5 = 30/13
Answer:I think its B 30/13
Step-by-step explanation:
I used a calculator
Mr Bryce planted a garden in his backyard the length and width of the garden are shown below. what is the area, in square meters, of Mr. Bryce's garden.
Answer:
35
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
Write an equation in point-slope form and slope-intercept form for each line.
1. passes through (4, 7), slope = 2
2. passes through (–2, –1), slope = 4
3. passes through (8, –4), slope = 1/2
Answer:
y=2x-1
y-7=2(x-4)
2x-y-1
//
y=4x+7
y--1=4(x--2) = y+1=4(x+2)
4x-y+7
//
y=1/2x-8
y--4=1(x-8) = y+4=1(x-8)
1x-y-12
Step-by-step explanation:
here u go
Write about a
way
how
you have used mathematics inside or outside of school. *
Plsss help it is important
Answer:
I have used mathematics at the store when i am buying something.
Step-by-step explanation:
which statement is true about points located in quadrant ll in the coordiante?
Answer:
The x coordinate is negative, and the y coordinate is positive.
Hope that helps!
Step-by-step explanation:
I will give brainiest pls
Answer:
C. 14 feet
Step-by-step explanation:
THIS IS TO FIGURE OUT THE TRIANGLE
You have to do the Pythagorean Theorem, which is a² + b² = c²
Since h is the entire piece of wood including the additional 2 feet, I will use m as variable for triangle
Fill in for variables: 5² + m² = 13²
Simplify: 25 + m² = 169
Subtract 25 from both sides: m² = 144
Square root both sides to get m alone: m = 12
Now, you have to add the additional 2 feet above the triangle: 12 + 2 = 14
Therefore, h=14
Answer:
12
Step-by-step explanation:
The only answer that makes sense. If you use pythagorean theorem which is a^2+b^2=c^2, and c is the hypotenuse, which is the slanting side, you do this
12^2+5^2=13^2?
144+25=169
169=169
it checks!