Samuel invests £45 500 in an account that pays 4.5% compound interest per annum for the five years, then 3.5% . Work out how much money Samuel will have in his account in 13 years.

Answer:

y ≈ 9.24

Step-by-step explanation:

Using the cosine ratio in the right triangle.

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{8}{y}[/tex] ( multiply both sides by y )

y × cos30° = 8 ( divide both sides by cos30° )

y = [tex]\frac{8}{cos30}[/tex] ≈ 9.24 ( to the nearest hundredth )

Answer:

Length of sandbox (3w + 1) = 9.1 m

Width of sandbox = 2.7 m

Step-by-step explanation:

[tex]w(3w + 1) = {5}^{2} \\ \\ 3 {w}^{2} + w = 25 \\ \\ 3 {w}^{2} + w - 25 = 0 \\ \\ equating \: it \: with \\ \\ a {x}^{2} + bx + c = 0 \\ \\ a = 3 \\ b = 1 \\ c = - 25 \\ \\ {b}^{2} - 4ac \\ = {1}^{2} - 4 \times 3( - 25) \\ \\ = 1 + 300 \\ \\ = 301 \\ \\ w = \frac{ - 1 \pm \sqrt{301} }{2 \times 3} \\ \\ w = \frac{ - 1 \pm 17.3493516 }{6} \\ \\ w = \frac{ - 1 \pm 17.3493516 }{6} \\ \\ considering \: only \: + ve \: sign \\ \\ w = \frac{ - 1 + 17.3493516 }{6} \\ \\ w = \frac{16.3493516 }{6} \\ \\ w = 2.72489193 \\ \\ w = 2.7 \: m[/tex]

3w + 1 = 3*2.7 + 1 = 8.1 + 1 = 9.1 m

Answer: i think its 17

Step-by-step explanation:

Answer:

x=4 or x=2

Step-by-step explanation:

Answer:

Step-by-step explanation:

WE KNOW THAT THE SUM OF THE ANGLES IN A TRIANGLE=180

9g+2g+7g=180

18g=180

g=180/18

g=10

Answer:

pretty sure its equation, if its wrong im sorry!

Step-by-step explanation:

[tex]6p \geqslant - 42 \\ p \geqslant - 7[/tex]

Answer:

hmm

Step-by-step explanation:

Answer:

80 degrees

Step-by-step explanation:

angle c=50

this is an isoceles triangle in which both base angles are same

so, angle e=50

now we will use angle sum.property which states that the sum of all the interior angles of a triangle is equal to 180

so, 50+50+angle d=180

100 + angle d = 180

angle d =180-100

angle d = 80 degrees

Answer:

53

Step-by-step explanation:

when c=6 and d=5 we want to substitute the variables with the numbers in the equation so we'll have

(5) + 8(6)

after evaluating we come up with the answer 53

Answer:

8 pounds

Step-by-step explanation:

x = number of pounds

5x<40

x<40/5

so she can buy X<8 pounds

Answer/Step-by-step explanation:

1.

✔️a = 180 - 110 (consecutive angles are supplementary)

a = 70°

✔️b = a (corresponding angles are congruent)

b = 70°

✔️c = 110° (alternate interior angles are congruent)

2.

✔️a = 180 - 120 (linear pair)

a = 60°

✔️b = a (corresponding angles are congruent)

b = 60°

✔️c = a (alternate interior angles are congruent)

c = 60°

3.

✔️a = 55° (corresponding angles are congruent)

✔️b = 55° (Vertical angles are congruent)

✔️c = 180 - 55 = 125° (linear pair)

4.

✔️a = 115° (corresponding angles are congruent)

✔️b = 180 - a (linear pair)

b = 180 - 115

b = 65°

✔️c = b (vertical angles are congruent)

c = 65°

5.

✔️a = 180 - 25 = 155° (supplementary angles)

✔️b = 25° (corresponding angles)

✔️c = 25° (vertical angles)

6.

✔️a = 180 - 10 = 170° (linear pair)

✔️b = a (corresponding angles are congruent)

b = 170°

✔️c = 10° (corresponding angles are congruent)

Answer:

gdghdhsxjsjsj

Step-by-step explanation:

jcjcjcjcjjcjcjcjcjc

Answer:

t is a regular hexagon of side 2′. So it can be divided into 6 triangles equal in all respects.The sum of all interior angle of hexagon =(n-2)*180 = (6–2)180 =720 deg. each interior angle =720/6 =120 deg.Side of the triangle divides this angle into two equal halves each = 60 deg.when two base angles of each triangle are 60 and 60 third angle will also become 60 making it as equilateral triangle. N ow the area of hexagon =6*the area of each equilateral triangle of base 2 ft.=6*1/2*2*h. h is the altitude of the triangle=2/2*tan 60 = rt3 =1.732 .NOW area of hexagon =6*1.732 = 10.392 sq.ft

Answer:

m = 3/5

Step-by-step explanation:

use the formula so m = -5 - -2 / 5 - 10 , so m = -5+2 / -5

m = -3/-5 so m = 3/5

Answer:

124

Step-by-step explanation:

Answer:

So it's either 12.1

Step-by-step explanation:

So you must multiply them to get the answer cause it tells how much fiction books are in there, and It 55% of the total so to find the total you must multiply them.  

But if you have a percent you have to make that into a decimal. So 55% will be 55/100 so that's .55, so all you have to do now is multiply them.

Answer: 40 books

Step-by-step explanation:

First divide 22/55 then multiply the product by 100.

22/55= 0.4

0.4*100=40

Hope this helps u Emilee :)

Answer:

x=8

Step-by-step explanation:

23x=184

x=8

Answer:

A(-2/3)

B(-1/6)

C(1/2)

D(4/3)

Step-by-step explanation:

There are 6 tics in each section.

That means each tic is 1/6

A(-4/6) -> (-2/3)

B(-1/6)

C(3/6) -> (1/2)

D(8/6) -> (4/3)

Answer:

The only difference between the two equations is that, a linear equation gives a line graph whereas a linear inequality shows the area of the coordinate plane that satisfies the inequality. A linear inequality graph usually uses a borderline to divide the coordinate plane into two regions.

Step-by-step explanation:

Your profile picture lol

Answer:

Trust me his/her answer are correct.....

Answer:

a) 15.28 hours

Step-by-step explanation:

535/-35

≈-15.28

but time is always positive so it would take him 15.28 hours

Answer:

3

Step-by-step explanation:

3x+1=10 subtract 1 to both sides

3x+1-1=10-1

3x=9 divide both sides by three

3x/3=9/3

x=3

Answer: x = 50

Step-by-step explanation:

-0.2(x - 20) = 44 - x

-0.2x + 4 = 44 - x (distribute the -0.2)

  + x                + x

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

0.8x + 4 = 44

        - 4    - 4

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

0.8x = 40 (divide by 0.8)

x = 50

Answer: 20

Step-by-step explanation:

Answer:

h = 2.7 m

Step-by-step explanation:

The larger triangle and the smaller triangle are similar so ratios of corresponding sides are equal, that is

[tex]\frac{6}{6+12}[/tex] = [tex]\frac{0.9}{h}[/tex] , that is

[tex]\frac{6}{18}[/tex] = [tex]\frac{0.9}{h}[/tex] ( cross- multiply )

6h = 16.2 ( divide both sides by 6 )

h = 2.7 m

Answer:

34

Step-by-step explanation:

Answer:

5%

Step-by-step explanation:

487/9374=0.05

0.05 would translate to 5%

Hope this helps! :)

Answer:

F (5%)

Step-by-step explanation:

To find the percentage of questions he got correct:

487/9374=0.051....

So, assuming an F is less than 50%, he got an F.

Answer: I already answered this question already

Step-by-step explanation:

independent- x or hours

dependent- y or money earned

y=8x