Colin invests £1100 into his bank account. He receives 5% per year simple interest. How much will Colin have after 6 years? Give your answer to the nearest penny where appropriate.

Answers

Answer 1

Answer:

Step-by-step explanation:

P = £1100

r = 5%

t = 6 years

I =P*r*t

[tex]I =1100*\frac{5}{100}*6\\\\I=11*5*6\\\\I = 330[/tex]

Amount = P + I = 1100 + 330 = £1430


Related Questions

Match each graph to the corresponding linear equation. help plzzzz i hate math

Answers

ANSWER:

GRAPH A: Equation 4

GRAPH B: Equation 3

GRAPH C: Equation 2

GRAPH D: Equation 1

If A is the reference angle, which side is the opposite?
AB
BC
AC
Explain your thinking.


Answers

Answer:

BC

Step-by-step explanation:

it would be BC because you are basically taking the angle and drawing an arrow to the opposite side. another trick would be choosing an answer choice without the letter in it. also you didn't put what shape so I assumed it was a triangle

Right triangle XYZ is drawn with a 23° angle. For right triangles with an angle of 23° the ratio of the leg adjacent the 23° angle compared to the hypotenuse is 0.92 If the leg adjacent to the 23° angle has a length of 46 units, what is the length of the hypotenuse?

Answers

Answer:

50

Step-by-step explanation:

In a right angled triangle :

Ratio of the leg Adjacent an angle to the hypotenus can be obtained using the Cosine trigonometric ratio

For an angle of 23° and and adjacent leg of 46

Cos 23 = adjacent / hypotenus

Adjacent / hypotenus = 0.92

46 / hypotenus = 0.92

Hypotenus = 46 / 0.92

Hypotenus = 50

A cylinder has a base radius of 3m and a height of 17m. What is its volume in cubic m, to the nearest tenths place?

Answers

Answer:

V=  480.7 m cubed

The volume of the cylinder nearest to tenths place is 480 m^3.

What is cylinder?

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface.

For the given situation,

The formula for volume of the cylinder is [tex]V=\pi r^{2} h[/tex]

Radius of the cylinder,r = 3 m

Height of the cylinder, h = 17 m

The value of π = 3.14

On substituting the above values,

[tex]V=(3.14) (3^{2})(17)[/tex]

⇒ [tex]V=480.42[/tex] ≈ 480

Hence we can conclude that the volume of the cylinder is 480 m^3.

Learn more about volume of cylinders here

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i need help asap!! i would really appreciate this

A 30°-60°-90° triangle has a shorter leg with a length of 14 cm. The hypotenuse of the triangle is ___ cm.

Answers

Answer:

23

Step-by-step explanation:

Q12.
Which relation is a function?

A
{(-1, 3), (-2, 6), (0, 0), (-2, -2)}

B
{(-2, -2), (0, 0), (1, 1), (2, -2)}

C
{(7, 4), (8, 8), (10, 8), (10, 10)}

D
{(4, 0), (4, 1), (4, 2), (4, 3)}

Answers

D I’m guessing since it’s the only one that makes sense

Given b=4, c=1, A=120° for a triangle with sides a, b, c and angles A, B, C. What is the area of the triangle? Round to the nearest hundredth.

Answers

Answer:

1.73 units

Step-by-step explanation:

The area of a triangle with sides a, b, c and angles A, B, C is given as

Area = 1/2 bc sin A

Given that b=4, c=1, A=120° for a triangle with sides a, b, c and angles A, B, C then the area

= 1/2 * 4 * 1 * sin 120

= 2 sin 120

= 2 * √3/2

= √3

= 1.732

To the nearest hundredth = 1.73

Use cosine law to find the value of x. Show working. use ^ for power and sqrt for square root

Answers

See the picture below

Answer:

x ≈ 11.89

Step-by-step explanation:

Using the cosine rule

x² = 4² + 9² - ( 2 × 4 × 9 × cos128° )

    = 16 + 81 - 72cos128°

     = 97 - (- 44.33 )

      = 141.33 ( take the square root of both sides )

x = [tex]\sqrt{141.33}[/tex] ≈ 11.89 ( to 2 dec. places )

type the correct answer in each box. if necessary, use / for the fraction bar(s). If a = 0.6 and b = 0.75, then a•b = ____ and a/b = _____

Answers

Answer:

If a=0.6 and b=0.75, then a·b=9/20 and a/b=4/5

Step-by-step explanation:

The value of a•b =0.045 and a/b = 8

What is fraction?

A number expressed as a quotient, in which a numerator is divided by a denominator

given: a=0.6, b= 0.075

Now, a*b= 0.6*0.075

               = 0.045

and, a/b

= 0.6/0.075

=8

Hence, a*b= 0.045 and a/b =8

Learn more about fraction here:

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Which of the following do not represent the measures of the sides of a triangle?
A)57, 80, 24
B) 43, 133, 89
C) 5, 6, 7
D 20, 20, 30

Answers

Answer:     B) 43, 133, 89

===========================================================

Explanation:

For this answer choice, we have p = 43, q = 133, and r = 89. Note how p+r = 43+89 = 132, which is not larger than the third remaining side q = 133. Therefore, p+r > q is false and a triangle cannot be formed.

A triangle is only possible if and only if adding any two sides leads to a sum larger than the third side (triangle inequality theorem).

Put another way, we must have these three conditions hold true for a triangle to form:

p+q > rp+r > qq+r > p

If any of those three are false, then we cannot make a triangle with side lengths p,q,r

-----------------

Let's go over choice C for an example in which we can form a triangle

p = 5, q = 6, r = 7

We can see that,

p+q = 5+6 = 11 which is greater than r = 7. So p+q > r is true.p+r = 5+7 = 12 which is greater than q = 6. So p+r > q is true.q+r = 6+7 = 13 which is greater than p = 5. So q+r > p is true.

All three conditions are true, and therefore we have a triangle that is possible with side lengths p = 5, q = 6, r = 7. I recommend cutting out slips of paper with these lengths to try it out yourself, so you have a real world example to play with. Choices A and D are a similar story to choice C, so we can rule out all three of these choices.

B is the answer to this question

A survey asked first-year college students, "How many miles is this college from your permanent home?" Students had to choose from the following options: 5 miles or less, 6 to 10 miles, 11 to 50 miles, 51 to 100 miles, 101 to 500 miles, or over 500 miles. The bar chart below shows the percent of students at public and private 4-year colleges who chose each option.

Answers

Answer:

Students who attend a private college are more likely to travel a farther distance to attend college.

Step-by-step explanation:

Rick wants to use multiplication to solve {k} = 7 \div \dfrac13k=7÷ 3 1 ​ k, equals, 7, divided by, start fraction, 1, divided by, 3, end fraction. Which multiplication equation can Rick use? Choose 1 answer: Choose 1 answer: (Choice A) A \dfrac13\times{k} =7 3 1 ​ ×k=7start fraction, 1, divided by, 3, end fraction, times, k, equals, 7 (Choice B) B \dfrac13={k}\times7 3 1 ​ =k×7start fraction, 1, divided by, 3, end fraction, equals, k, times, 7 (Choice C) C \dfrac13\times7 = {k} 3 1 ​ ×7=kstart fraction, 1, divided by, 3, end fraction, times, 7, equals, k

Answers

Answer: (a)

Step-by-step explanation:

Given

Equation is

[tex]k=\dfrac{7}{\frac{1}{3}}[/tex]

Write the cross-multiplication of the given equation i.e.

[tex]\Rightarrow \dfrac{1}{3}\times k=7[/tex]

This corresponds to the option (a).

Answer:

C

Step-by-step explanation:

ITS C BECAUSE I WASTED A MISTAKE BC OF THE OTHER GUY ON TOP

DONT USE HIS

JUST USE MINE

DONT NEED AN EXPLANATION NOOOOB

how can I do this ???​

Answers

Answer:

The triangle EFG can be constructed with the following specifications: [tex]EF = 8\,cm[/tex], [tex]FG = 7\,cm[/tex], [tex]EG = 12\,cm[/tex], [tex]E \approx 34.093^{\circ}[/tex], [tex]F \approx 106.068^{\circ}[/tex], [tex]G \approx 39.838^{\circ}[/tex].

Step-by-step explanation:

A triangle is formed by either knowing the lengths of its three sides or knowing two angles and the length of a side or knowing a angle and the lengths of two sides. By Geometry, we know that sum of internal angles in triangles equals 180°. In order to construct this triangle, we need to know the measures of angles E, F and G by means of the Law of Cosine:

Angle E

[tex]E = \cos^{-1}\left[\frac{(7\,cm)^{2}-(12\,cm)^{2}-(8\,cm)^{2}}{-2\cdot (12\,cm)\cdot (8\,cm)} \right][/tex]

[tex]E \approx 34.093^{\circ}[/tex]

Angle F

[tex]F = \cos^{-1}\left[\frac{(12\,cm)^{2} - (8\,cm)^{2} - (7\,cm)^{2}}{-2\cdot (8\,cm)\cdot (7\,cm)} \right][/tex]

[tex]F \approx 106.068^{\circ}[/tex]

Angle G

[tex]G = \cos^{-1}\left[\frac{(8\,cm)^{2}-(12\,cm)^{2}-(7\,cm)^{2}}{-2\cdot (12\,cm)\cdot (7\,cm)} \right][/tex]

[tex]G \approx 39.838^{\circ}[/tex]

The triangle EFG can be constructed with the following specifications: [tex]EF = 8\,cm[/tex], [tex]FG = 7\,cm[/tex], [tex]EG = 12\,cm[/tex], [tex]E \approx 34.093^{\circ}[/tex], [tex]F \approx 106.068^{\circ}[/tex], [tex]G \approx 39.838^{\circ}[/tex].

Drew received a bonus check for $2500 and he's going to deposit the money into a bank account there is is 5.5% simple interest amount of interest earned each year is how much

Answers

Answer:

$137.50

Step-by-step explanation:

Simples interest = amount deposited x time x interest rate

2500 x 0.055 x 1 = 137.50

Answer:m

Step-by-step explanation:

Jill needs 3 tonnes of salt. If a packet of salt weighs 600 g how many packets does she need?

Answers

Answer:

Solution given:

1 packet=600g

we have

1 tone =1000000g

3tone=3000000g

we have

no of packet's=[tex] \frac{total weight }{1 packet weight } [/tex]

=[tex] \frac{3000000}{600} [/tex]

=5000

packets she needs is 5000.

PLEASE HELP THANK YOU BRANLIEST IS PROVIDED

Answers

Answer:

Solution given;

area of semi circle=½πr²=1/2×3.14×4²=25.12in²

area of rectangle ABCD=l×b=8×13=104in²

area of rectangle CEFI=l×b=3×6=18in²

Total area =25.12+104+18=147.12in²

Area of circle

πr²π(7+6-5/2)²π(8/2)²16π25.12in²

Area of centre rectangle

8(13)104in²

Area of right rectangle

3(6)18in²

Total

18+104+25.12122+25.12147.12in²

juan bicycles due north at 20mph eric starting at the same point at the same time bicycles due east at 15mph how.

far apart are they after 2 hours?

A. 10 miles
B. 35 miles
C. 50 miles
D. 70 miles

Answers

I’m not good at math but I think u have to divide or multiply 20 and 15


If you toss a coin eight times and get a head each time, which of the following is true?
A. The probability of getting a head on the next toss is more than %.
B. The probability of getting a tail on the next toss is more than 1.
C. The probability of getting a tail on the next toss is %.
D. The probability of getting a head on the next toss is greater than the probability of getting a
tail

Answers

You just put a percentage sign , but anyways here is an explanation ,every time you get heads the probability that you get it once more decreases

Find the sum of the first 10 terms for the following sequence: a = {-1, 2, 5, ... }

Answers

Answer:

see, to find the next number, you need to add three to the last one

for example, the 3 was added to 2, so we have five here

5+3=8

8+3=11

and ....

so the next ten numbers are:

8, 11, 14, 17,20,23,26,29,32,35

I'm sorry, my mother tongue isn't English so please accept my apology if I haven't been able to explain it clearly, it's a pretty easy math problem so I think you got it

Answer:

it's +3 each time

Step-by-step explanation:

the formula for the nth term of an arithmetic progression is

[tex]a _{n} = d \times n + a _{1} - d[/tex]

Which two products can add to find 9 times 4?

Answers

Answer:

2x18=36

im not sure if that's what you meant but i can answer again if you want

Step-by-step explanation:

Answer:

sin ( 330 )

 csc  ( 60 )

cos  ( 390 )

Step-by-step explanation:

Find the distance between the points (4,3) and (1,0).
Write your answer as a whole number or a fully simplified radical expression. Do not round.
units

Answers

Answer:

[tex]distance = \sqrt{(x_{1} -x_{2})^2+(y_{1} -y_{2})^2 }[/tex]

             [tex]=\sqrt{(1-4)^2+(0-3)^2 } \\=\sqrt{3^2 + 3^2}\\=\sqrt{18}\\=3\sqrt{2}[/tex]

Answer:

3√2

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√(0 - 3)² + (1 - 4)²

√(-3)² + (-3)²

√(9) + (9)

√18

3√2

Find the value of x.l

Answers

Answer:

The value of x is 28°

Step-by-step explanation:

2x + 1 and 33° together forms 90° angle.

So, we need to find the angle at the 2x + 1.

--> 90° - 33°

= 57°

So, 2x + 1 gives 57°.

So, to find x :-

2x + 1 = 57°

2x = 57 - 1

2x = 56

x = [tex]\frac{56}{2}[/tex]

x = 28

is 8 yard, 9 yards, and 12 yards right triangle

Answers

Answer:

No

Step-by-step explanation:

you can check with the pythagorean theory

[tex]8^{2}+9^{2} =12^{2}[/tex]

64 + 81 = 144

145 = 144

this is not true, therefore those side lengths do not make a right triangle.

How do you write 9,600 in scientific notation?
plz only have a few minutes!!

Answers

Answer:

9.6 x 10^3 thats the answer...............................................................

PLS HELP ME WITH THIS QUESTION!!

Answers

Answer:

a

Step-by-step explanation:

I'M A GOOFY ______ !!!!!
A. Kid
B.Guy
C.Dude
D.Goober

Answers

Answer:

D

Step-by-step explanation:

SPONGEBOB!!

Simplifique a expressão: 5 √2^3

Answers

Answer:

10√2

Step-by-step explanation:

5√2³ = 5√8 = 5√(2 x 4) = (2 x 5)√2 = 10√2

HELP ME WITH THIS PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The answer is 5

hope it helps

Answer:

n = 5 units

Step-by-step explanation:

We can solve this using 2 different equations which lead to the same answer:

Equation #1: Sin(30) = n/10

=>Sin(30) * 10 = n

=> 5 = n

Equation #2: Cos(60) = n/10

=> Cos(60) * 10 = n

=> 5 = n

If a number is a whole number, it is in it's simplest radical form, therefore;    n = 5 units is the correct answer

Hope this helps!

Help please I NEED TO PASS :(((((

Answers

Answer:

The answer should be C

Step-by-step explanation:

I just got done calculating it and according to my calculations it should be C

Helpppp chile. I’m stuck sidnfifnfig vkfniffnf

Answers

Step-by-step explanation:

12*4 - 2*2

48 - 4

44 ft of carpet.

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