Answer:
The amount Mary would have in her account in 5 years is approximately £13,131.7
Step-by-step explanation:
The amount Mary deposits in the account, P = £10,000
The amount in interest paid by the account, r = 5.6%
The mode by which the interest is calculated = Compound interest
The number of years for which the amount (£10,000) will be kept in the account, t = 5 years
The number of times that the given interest applies per year, n = 1
The amount, "A", Mary would have in her account in 5 years, is given by the compound interest formula as follows;
[tex]A = P \cdot \left ( 1 + \dfrac{r}{n} \right ) ^{n \cdot t}[/tex]
Where;
A = The amount accrued in the account after the given elapsed periods
P = The principal or initial balance in the account = £10,000
r = The compound interest rate = 5.6/100
n = The number of times the interest is applied in one period of time = 1
t = The sum of the duration for the interest applies = 5
Substituting the given values, we have;
[tex]A = 10,000 \times \left ( 1 + \dfrac{0.056}{1} \right ) ^{1 \times 5} = 13,131.65883211776[/tex]
Therefore, the amount Mary would have in her account in 5 years = A ≈ £13,131.7
a cone has a diameter of 6 inches and a height of 8 inches. find the volume of the both in terms of pi and using 3.14 for pi.
Answer:
24π in³/75.36 in³
Step-by-step explanation:
We are looking for the volume of a cone with a diameter of 6 inches and a height of 8 inches.
First, divide the diameter by 2 to get the radius.
6 in/2 = 3-in. radius
Now, incorporate the formula for the volume of a cone. That is πr²h/3.
3.14 * 3² * 8/3
Square 3 to get 9.
3.14 * 9 * 8/3
Multiply 3.14 by 9 to get 28.26.
28.26 * 8/3
I recommend turning 28.26 into a improper fraction. That would be 1413/50.
1413/50 * 8/3
Can any cross-cancellation be done? Yes!
50 and 8 share a GCF of 2.
1413/25 * 4/3
1413 and 3 share a GCF of 3.
471/25 * 4/1
Multiply 471 by 4, and put it over 25.
1884/25
Simplify your answer.
75 9/25 = 75.36 in³, which is about 24π in³.
Which expression represents "4 times the sum of 3 and 7?
O A 4+7=
B 4x +7
OC 4G+7)
D. 704 + x)
Answer:
associative
Step-by-step explanation:
I need help on these 2 problems
Answer:
The answer to 17 is -8. 2+ = 10 - 12 = -2*4 = -8.
The answer to 18 is 28. 4^2 = 16, 7 + 1 = 9 + 3 = 12, 16 + 12 = 28.
Step-by-step explanation:
10. A bin of books at a bookstore had a 60% markdown off the original price and also offered a 35% coupon to the first 200 customers that entered the store that day. If Ally was the 39th customer, how much would she pay for a book that was originally $12.45?
Answer:
300%
Step-by-step explanation:
bc i know
Find the missing numerical value in the box for which the equation 2/3(6x−12)=8+□(2x−4) has no solution.
Answer:
23
Step-by-step explanation:
Answer:
23
Step-by-step explanation:
You have to fo the equation for both sides then you get 23
4 + 18•2.3
What is the
Second step
Answer:
I believe you have multiply then add
Answer:
45.4
if you are happy with my answer, please give brainliest :)
Step-by-step explanation:
You use order of operations and multiply 18 and 2.3 first
4 plus 41.4
45.4
this is for a retake for geometry pls help
Answer:
B. 40, 51.5, 88.5
Step-by-step explanation:
(5x - 4) + (2x + 3) + (3x- 4) = 180
10x - 5 = 180
10x = 185
x= 18.5
Substitute
5(18.5) - 4 = 88.5
2(18.5) + 3 = 40
3(18.5) - 4 = 51.5
Can someone please help
Answer:
What's your grade. Me grade 6
Step-by-step explanation:
Give me your grade
Are rational expressions closed under addition, subtraction, multiplication, and division?
Answer:
closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions. A rational expression is any polynomial divided by any polynomial except for zero.
Step-by-step explanation:
HOPE IT HELPS YOU!!!) Find the area of a circle with radius, r = 53cm.
Give your answer rounded to 3 SF.
SOMONE help please!!!!!
distance formula:
d = √[( x₂ - x₁ )² + ( y₂ - y₁ )²]
Given:
(0,1) and (6, -8)
x₂ = 6
x₁ = 0
y₂ = -8
y₁ = 1
Solve:
d = √[( 6 - 0 )² + ( (-8) - 1 )²]
d = √[( 6 )² + ( -9 )²]
d = √[36 + 81]
d = √[117]
d = 10.8
Choice 10.8
Can anyone help me solvethis problem its dealing with solving two-step equations. (If you know the answer please help me thank you❤)
2x1=12
Answer:
Your answer will be x=11/2
Step-by-step explanation:
What you want to do first is
Subtract 1 from both sides
2x+1-1=12-1
Simplify
2x=11
Divide both sides by 2
[tex]\frac{2x}{2} =\frac{11}{2}[/tex]
Simplify
[tex]x=\frac{11}{2}[/tex]
if p = 8 what is the value of the expression (15 - 5) x (p - 6)
Answer:
5
Step-by-step explanation:
15-5(p-6)
when p=8,
=15-5(8-6)
=15-5(2)
=15-10
=5
Answer:20
Step-by-step explanation: Do 15-5=10 then plug in 8 as p then subtract 8 from 6which is 2 .Lastly times 10 by 2 which gives you 20.
I hope it helps :)
A biology class examined some flowers in a local meadow. Out of the 10 flowers they saw, 2 were perennials. What percentage of the flowers were perennials?
Answer:
yea
Step-by-step explanation:
yea
I need help PLEASEE!!! I’ll give BRAINLIEST for the right answer :)))
Answer:
2.4
Step-by-step explanation:
2.4444 is a decimal and 244.44/100 or 244.44% is the percentage for 22/9.
Answer:
2.4444 so c I believe
Step-by-step explanation:
rounded down is 2.4
please help if ya know it :D
Answer:
C (0.9)
Step-by-step explanation:
Key skills needed: Solving one variable equations
1) we have the equation --> 12.72 = 5.52 + 8x
2) We need to solve for x.
To get x by itself, we subtract 5.52 from both sides. (12.72 - 5.52 = 7.2)
This means 8x = 7.2
3) Divide by 8 from both sides, and you will get x = 0.9 (7.2/8 = 0.9)
All Items 1 2 GE 6 7 8 10 4. Which statement describes a unit rate? A Joan played 1 game. В. Joan wrote 6 letters and 2 postcards. c. Joan threw the ball at 40 miles per hour. D. Joan has 3 candy bars and 1 pack of gum.
Answer:
5 candy bars because then it will get eaten. i think. so then you add the 500 and he 2 and get your answer :)
can someone tell me what’s the answer please ?!
Answer:
no se
Step-by-step explanation:
math is hard help plsp0
Answer:
hgj
Step-by-step explanation:
A group of geometry students wrote the following definitions
for parallel lines.
• Jennifer: Two lines that never intersect.
• Bethany: Two lines whose perpendicular distance
between points remains constant.
• Darius: Two lines are parallel if and only if they lie in the
same plane and corresponding points are equidistant.
A
Which definition(s) is/are the most precise?
Bethany
Darius
Jennifer
All are precise definitions.
B
c
D
Answer:
jennifer
Step-by-step explanation:
Solve the inequality and enter your solution as an inequality comparing variable to solution-31>x-48
Answer:
solving the inequality [tex]-31>x-48[/tex] we get: [tex]\mathbf{x<17}[/tex]
Step-by-step explanation:
We need to solve the inequality [tex]-31>x-48[/tex]
Solving the inequality and finding value of x:
[tex]-31>x-48[/tex]
First we will be switching sides i.e. left hand side will become right hand side and right hand side will become left hand side. In doing so, the inequality sign i.e. > will be reversed and changed with <
[tex]x-48<-31[/tex]
Now, for finding value of x, we will be adding 48 on both sides
[tex]x-48+48<-31+48\\x<17[/tex]
The value of x is less than 17 i.e. [tex]\mathbf{x<17}[/tex]
So, solving the inequality [tex]-31>x-48[/tex] we get: [tex]\mathbf{x<17}[/tex]
Based on this graph, how much would 10 concert tickets cost?
Answer:
120...............
Step-by-step explanation:
1=$20
10×20=120
10 tickets would cost 200$
Step-by-step explanation:
10×20=200$
Which tool would be best to solve this problem?
Pythagorean Theorem
Triangle Angle Sum Theorem
Tangent Ratio
Sine Ratio
Cosine Ratio
Use that tool to solve for x. Show all work on the sketch
pad or on your paper.
Answer:
The pythagorean theorem would be the most helpful.
To solve this problem:
[tex]x^2 + 8^2 = 15^2\\x^2 + 64 = 225\\x^2 = 161\\x = \sqrt{161}[/tex]
Answer:
Pythagorean Theorem
Step-by-step explanation:
You want to use Pythagorean Theorem on right degree triangles. Using the formula:
a^2 + b^2= c^2, where a and b are the legs while c is the hypontuse( the slanted side of the triangle and the longest.) let plug in the numbers.
8^2+ x^2=15^2; Subsitution
64+x^2=225: Equalvelent Equation
x^2= 161: Subtraction Poperty of Equality
sqr root of 161= 12.688 or 12.69 or 12.7
x=12.689 ( if rounded to nearest hundredth) or x=12.7 if rounded to nearest tenth.
[tex]\sqrt{161}[/tex]
If you pay $3.36 in tax, what was the original price at an 8% sales tax
Answer:
$42Step-by-step explanation:
Given
8% = $3.36100% = xCross multiply and solve for x:
x = $3.36*100/8 = $42Find the slope of (5, 8) and (3, 12).
Select all ratios equivalent to 24:15.
16:10
48:30
5:3
Answer:
The only one that works is 48:30
Step-by-step explanation:
You can't divide 24 by anything to get 16, nor 15 to get 10
5:3 means 15 was divided by 3, 24 divided by 3 is 8
Is 10 a perfect square? Is 100 perfect square? Explain
Answer:
No, 10 is not a perfect square.
Yes, 100 is a perfect square.
Step-by-step explanation:
10 is not because in order for a number to be a perfect square, you have to see if the numbers that are multiplied to get it are the same.
100 is because 10 x 10 <---- exact same number being mutiplied.
Write the equation in point-slope form that has a slope of -3/4 and passes through the point (2, -9).
PLEASE HURRY WILL GIVE BRAINLIEST!!!
Answer:
y=-¾x-15/2
Step-by-step explanation:
y--9=-¾(x-2)
y+9=-¾(x-2)
4y+36=-3x+6
4y=-3x+6-36
4y=-3x-30
y=-¾x-15/2
Which of the following is not a function?
Answer:
option d.
{(1,3),(4,2),(2,0),(3,4)}
Work out the value of (2^3)^2
Answer:
(2^3)^2
=2^(3x2)
=2^6=64