at what rate will £420 yield £
£70 in 4 years​

Answers

Answer 1

Answer:

4.16%/ year

Step-by-step explanation:


Related Questions

rearrage and solve 4t-s-2t+25​

Answers

Answer:

See the image below for the answer:)

Step-by-step explanation:

Can someone explain to me the Laws of Sine and Cosine. Will mark brainliest.

Answers

Answer:

here you are

i hope it helps! :)

Step-by-step explanation:

The Law of Sines establishes a relationship between the angles and the side lengths of ΔABC: a/sin(A) = b/sin(B) = c/sin(C). Sine is always positive in this range; cosine is positive up to 90° where it becomes 0 and is negative afterwards

WORTH 20 POINTS


Use the volume formula to find the volume of the prism.






A. 9 cubic units O

B. 18 cubic units

C. 4 cubic units O

D. 7 cubic units

Answers

9514 1404 393

Answer:

  A.  9 cubic units

Step-by-step explanation:

We interpret the smudges in your attachment to be dimensions of 1 1/2, 4, and 1 1/2. The volume is the product of these.

  V = LWH

  V = (4)(1.5)(1.5) = 9 . . . . cubic units

The volume of the prism is 9 cubic units.

Combine any like terms in the expression. If there are no like terms, rewrite the expression.
5t+t–2t

Answers

Answer:

4t

Step-by-step explanation:

Note that teach term has the variable t in it. Also, note that if t is by itself, it actually means 1t. Combine the given constants:

5t + 1t - 2t

= (5t + 1t) - 2t

= (6t) - 2t

= 4t

4t is your answer.

~

Determine how many people will fit in a building with a width of 105 feet and a length of 250 feet, if we use a standard of 16 people per 25 square feet.

Answers

Answer:

16,800 people

Step-by-step explanation:

105 * 250 = 26,250

p = 26250ft² * (16 people / 25ft²)

p = 16,800 people

Answer:

16800

Step-by-step explanation:

105 x 250 = 26250 and then divide it by 25 which is 1050 then multiply by 16 which is 16800

Hope this helps!

Order from least to greatest

1/8, 11/12, 9/8​

Answers

Answer:

Step-by-step explanation:

First make the denominators the same.

Take the LCM of (8, 12 , 8) = 24

So,

      [tex]\frac{1}{8}, \frac{11}{12}, \frac{9}{8} \ becomes \ \frac{3}{24}, \frac{22}{24}, \frac{27}{24}[/tex]

[tex]Order \ from \ least \ to \ greatest \ \\\\\frac{3}{24} < \frac{22}{24} < \frac{27}{24}[/tex]

That is,

           [tex]\frac{1}{8}, \frac{11}{12}, \frac{9}{8}[/tex]

Can somebody help me with this

Answers

Answer:

0.04997916927

Step-by-step explanation:

Answer:

30 degrees

Step-by-step explanation:

arcsin(0.5) deg

= 30

What is the fraction of 100 and 3,000

Answers

[tex]\huge \bf{Question:-}[/tex]

What is the fraction of 100 and 3,000.

[tex]\huge\bf{Answer:-}[/tex]

[tex] \bf{ \frac{100}{3000} } \: simplified \: to \: lowest \: term \: is : - [/tex]

[tex] \bf \pink{ \frac{1}{30}} [/tex]

Ans = 100/3000
=1/30
=0.0333333333

(t+5)(t+2),make t the subject of the formula​

Answers

Answer:

t= 2p+5/p-1

Step-by-step explanation:

The question is not well writen

Assume p = t+5/t-2

We are to make t the subject of the formula

Cross multiply

p(t-2) = t+5

pt - 2p = t+5

pt - t = 2p+5

t(p-1) = 2p+5

t= 2p+5/p-1

Hence the value of t is 2p+5/p-1

Can someone please help?

Answers

it is 7/8 the last one
7/8 because 3+4=7 and since the denominator is the same we dont have to change it

What is m∠A?
Help plz

Answers

Answer:

66

Step-by-step explanation:

180 - 57-57

Helpppppppp me plzzzzzzz

Answers

Answer:

Length of Line AC = 26 units

Step-by-step explanation:

Given:

Line AC = [3x + 1] + 8

Line BC = [x - 2] + 2

Find:

Length of Line AC

Computation:

Line AB ║ Line L

So,

Using Mid-Point theorem;

[3x + 1] / 8 = [x - 2] / 2

2[3x + 1] = 8[x - 2]

6x + 2 = 8x - 16

8x - 6x = 16 + 2

2x = 18

x = 9

So,

Line AC = [3x + 1] + 8

Line AC = [3(9) + 1] + 8

Line AC = [27 + 1] + 8

Line AC = 28 + 8

Length of Line AC = 26 units

prove that (Cos A +cosB)^2+(SinA+sinB)^2=4cos^2(A-B/2)

Answers

Answer:

[tex](cosA + cos B)^2 + (sin A +sinB)^2 \\\\= cos^2A + cos^2B + 2cosA cosB + sin^2A +Sin^2B +2sinAsinB\\\\=(cos^2A + sin^2 A) + (cos^2B +sin^2B) +2cosAcosB + 2sinAsinB\\\\= 1 + 1 + 2cosAcosB + 2sinAsinB\\\\=2 + cos(A+B)+cos(A-B) + cos(A-B) -cos(A+B)\\\\=2 + 2cos(A-B)\\\\=2(1 + cos(A-B))\\\\=2\times 2 cos^2(\frac{A-B}{2})\\\\=4cos^2(\frac{A-B}{2})[/tex]

Hence proved .

Solve the following equation for x: 6( 4X +5) = 3( X +8) +3

Answers

Answer:

x= -1/7

Step-by-step explanation:

 

10 points will give brainliest

Answers

Answer:

A. 9/2 × 3/8

Step-by-step explanation:

______________

A - 9/2 x 3/8
hope this helps

divide k800. in the ratio of 5:3​

Answers

Answer:

k500: k300

Step-by-step explanation:

5 parts :3 parts

there are 5+3=8 parts in total

800 divide by 8 parts = 100 in each part

k800 is 5:3  is k500: k300

6x-5

Step-by-step explanation:

4/5÷4/10

12×2 -64×-11,×+1

×3-×2+7×

___________

6x-5 answer

Find the slope on the line?

Answers

Answer:

slope=0

Step-by-step explanation:

Hi there!

We're given a graph with a line and two marked points on the graph: (-1,3) and (3,3)

the formula given for slope calculated from two points is (y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are points

we have our two points: (-1,3) and (3,3) and we can label them:

x1=-1

y1=3

x2=3

y2=3

now substitute into the formula

note: Remember the formula shows SUBTRACTION, even though we have NEGATIVE numbers. When we simplify, we'll add the numbers.

slope=(3-3)/(3--1)

simplify

slope=0/4

divide

slope=0

Hope this helps!

You start at (2, -1). You move down 3 units and left 3 units. Where do you end?

Answers

Answer:

(-1,-4)

Step-by-step explanation:

(2, -1)

Moving down 3 means subtract 3 from the y value

Left 3 means subtract 3 from the x value

(2-3, -1-3)

(-1,-4)

(-1,-4) is the answer

If the above cube is a container with an inside length of 25cm, how many
3.3.3
litres will it hold?

Answers

Answer:

Capacity of cube in liter = 15.625 liter

Step-by-step explanation:

Given:

Side of cube = 25 cm

Find:

Capacity of cube in liter

Computation:

Volume of cube = Side³

Volume of cube = 25³

Volume of cube = 15,625 cm³

We know that

1 cm³ = 0.001 liter

Capacity of cube in liter = Volume of cube in cubic cm x 0.001

So,

Capacity of cube in liter = 15,625 x 0.001

Capacity of cube in liter = 15.625 liter

PLS HELP ASAP! WILL GIVE U BRAINLIEST
Valid or Invalid: If a number is even, then it is a multiple of 4.
A. Invalid

B. Valid

Answers

Answer:

valid

Step-by-step explanation:

it's valid because for example here are some even numbers, 0, 2, 4, 6, 8, they're are all multiples of four.

hope that helped :)

mark me brainliest pls

Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. They randomly survey 387 drivers and find that 298 claim to always buckle up. Construct a 84% confidence interval for the population proportion that claim to always buckle up.

Answers

Answer:

The 84% confidence interval for the population proportion that claim to always buckle up is (0.74, 0.80).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

They randomly survey 387 drivers and find that 298 claim to always buckle up.

This means that [tex]n = 387, \pi = \frac{298}{387} = 0.77[/tex]

84% confidence level

So [tex]\alpha = 0.16[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.16}{2} = 0.92[/tex], so [tex]Z = 1.405[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 - 1.405\sqrt{\frac{0.77*0.23}{387}} = 0.74[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 + 1.405\sqrt{\frac{0.77*0.23}{387}} = 0.8[/tex]

The 84% confidence interval for the population proportion that claim to always buckle up is (0.74, 0.80).

What is the M.A.D. of this data set? 3,6,6,7,8,11,15,16

Answers

the answer is 8 because it was in the middle

it's 8

How does the distance traveled and time elapsed compare for Carrie and Kevin as they traveled from mile marker 225 to mile marker 230?

Answers

Answer:

This implies that they traveled the same distance and they spend the same amount of time from 225 to 230 mile marker

Step-by-step explanation:

Given

See attachment for graph

Required

Compare the distance and time travel

From the attached graph, we have the origin to be (0,0).

This represents the mile marker 225

Mile marker 230 is represented by point 5 on the y-axis.

Kevin's line at point 5 is represented as: (16,5)

Carrie's curve at point 5 is represented as: (16,5)

Both points are equal; i.e.

[tex](16,5) =(16,5)[/tex]

This implies that they traveled the same distance and they spend the same amount of time from 225 to 230 mile marker

is (0,0) a solution to this system

Answers

is (0,0) a solution to what system?

A die is rolled 2 times. What is the probability of getting a 2 on the first roll and a 5 on the second roll?

Answers

Answer:

1/36

Step-by-step explanation:

the chance of rolling a 2 on a 6-sided die is 1/6 and rolling a 5 on a 6-sided is also 1/6.

So, 1/6 * 1/6 = 1/36

Hope this is helpful

Answer:

Step-by-step explanation:

six sided die gives you 6 possibilities

probability of rolling a 2 is 1/6

probability of rolling a 5 on the second roll is 1/6

Oscar bought 12 lunches for 30$ what was the unit cost

Answers

Each lunch cost him $2.50

$30 / 12 = 2.5
the unit cost is $2.50

The spread of a rumor in a town can be modeled as , where N is the number of people who have heard of the rumor, and t is time (in days). How long will it take until 2000 people know about the rumor?

Answers

Answer:

the time is 16 days

Step-by-step explanation:

The computation of the time period is given below:

N = 500 √t

2000 = 500 √t

√t = 4

Now do the square on both the sides

SO,

t = 16

Hence, the time is 16 days

We simply applied the above method to determine the time period

The diameter of a circle is 2 meters. What is the circles circumftance

Answers

Answer:

2π or 6.284 meters

Step-by-step explanation:

Circumference = πd

= 2π

Lin and Claire each threw a rock into a stream. The black graph represents the height of a stone t seconds after it was tossed up by Lin and the purple graph represents the height of a stone t seconds after it was tossed up by Claire.
1) Whose stone hit the water second, and at what time?

2) How long did it take for Claire's rock to reach its maximum? What is the maximum height?

3) Who had the higher initial height? What was it?

Answers

Answer:

1) claire's stone at 1.25 seconds

2) 0.5 seconds and its max height was 9

3) lin at 8ft

Step-by-step explanation:

the intercepts tell you the first and third question and then the max height is the highest point on the graph

not sure what measurements you were supposed to use so I used seconds and feet and if that's not it then it's the same numbers just different words

Question 20
Josh says that has the same quotient as Is this true or false?
O True
O False

Answers

Josh says that has I don’t understand..
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