i leave £6000 in the bank. the bank pays 5% interest per year. how much do i have after 4 years?

Answer:

Step-by-step explanation:

                 Statements                                          Reasons

1). m∠QPS = m∠TPV                                1). Given

2). m∠QPS = m∠1 + m∠3                        2). Angle addition postulate

    m∠TPV = m∠2 + m∠4                                    

3). m∠1 + m∠3 = m∠2 + m∠4                  3). Given

4). m∠1 = m∠2                                          4). Given

5). m∠1 + m∠3 = m∠2 + m∠4                  5). Subtraction property

    m∠3 = m∠4

Step-by-step explanation:

11.

tan 30 = perpendicular / base = x/ 7

1/√3 = x/7

X= 7/√3

2.

cos 30 = 7/y

√3/2 = 7/y

y = 7×2/ √3

y= 14/√3

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hope this will be helpful to you ☺️.

Answer:

x=−5/2 y+ 3/2

Step-by-step explanation:

Let's solve for x.

2x+5y=3

Step 1: Add -5y to both sides.

2x+5y+−5y=3+−5y

2x=−5y+3

Step 2: Divide both sides by 2.

2x/2

=

−5y+3

2x=

−5y+ 3/2

Answer:

x=−5/2 y+ 3/2

Answer:

x =4 , y = -1

Step-by-step explanation:

I used substitution method.

Hope I was able to help . Good luck!

Answer:

The answer is 8(a³ - 8b⁶)

Step-by-step explanation:

You have take out the common terms :

8a³ - 64b⁶

= 8(a³ - 8b⁶)

P.S.

a and b cannot be factorized because they are different terms.

Answer:

dive by 5 take 20 if 4×5 give u 20 the 20/4 will give you 5

9514 1404 393

Answer:

  x = 58

Step-by-step explanation:

The external angle is half the difference of the intercepted arcs.

  (160° -x°)/2 = 51°

  160 -102 = x = 58

Answer:

34

Step-by-step explanation:

plug the coefficients in the equation, so

-2-2(-2)(-5)+56

Distribute the -2(-2)(-5), so it equals -20

so the equation is -2-20+56

add -20+56, so -2+36

-2+36=34

34 is your answer

Answer:

slope is -1, and y intercept is (0,7)

Step-by-step explanation:

Answer:

84 and 140

Step-by-step explanation:

Jack chooses two numbers between 50 and 150

The two numbers have a Lowest Common Multiple (LCM) of 420

Factors of 420 between 50 to 150

= 60, 70, 84, 105, 140

We are also told that:

They have a Highest Common Factor (HCF) of 28

Hence, we find out of the factors above, which numbers can be divided by 28 without having any remainder.

60/28 = 2.1428571429

70/28 = 2.5

84/28 = 3

105/28 = 3.75

140/28 = 5

Therefore, the two numbers are

84 and 140

Answer:

Its correct answer is sin65°/125.

Answer: x= 14

Step-by-step explanation: look at transversal ED. Angle E and angle D are alternate interior angles of this transversal. Alternate interior angles are equal. Now we need to find angle measure of D to solve. The triangle angle sum theorem states that all interior angles of a triangle sum to 180 degrees. 50+ 48 + D =180.

Measure of angle D is 82. Now that we have the two alternate interior angles, we set them equal to each other to solve.

6x-2= 82. Add 2 to both sides. 6x = 84. Divide both sides by 6. X =14

Answer:

(25 x 3) - 14 = 61!

Step-by-step explanation:

Answer: Y = 7/8x+ 2.25

Step-by-step explanation:

Answer: Probability: 3/12 or 1/4

Step-by-step explanation:

Answer:

z=74

x=15

Step-by-step explanation:

74+8x-14=180

step 1 combine like terms

60+8x=180

step 2 subtract each side by 60

8x=120

step 3 divide each side by 8

x=15

Answer:

z=74

x=15

Step-by-step explanation:

z=74 because vertical angles are the same

you have to add the z and 8x-14 and set it equal to 180 because the angles at supplementary

Answer:

x=4

Step-by-step explanation:

Answer:

[tex]x_{1} = \frac{7 - \sqrt{51} }{4} , x_{2} = \frac{7 + \sqrt{51} }{4} [/tex]

Step-by-step explanation:

attachment.

Answer:

The last two

Step-by-step explanation:

x= 0.6·25

60/100= x/25

Answer:

By using a yard stick taped together maybe

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step 1. It should say that 9 squared + b squared equals 15 squared, where 15 should be c since it’s the hypotenuse.

Answer:

x = - 18

Step-by-step explanation:

Let certain number = x

The difference between half of a certain number and seven

x/2 - 7

is the same as

=

with adding two to that number

x + 2

Find the number

x/2 - 7 = x + 2

x - x/2 = - 7 - 2

( 2x - x ) / 2 = -9

2x - x = -18

x = - 18

Answer:

12/25

Step-by-step explanation:

Answer:

p=19

Step-by-step explanation:

since the instructions say that ([tex]x^{13}[/tex])([tex]x^{6}[/tex]) is equivalent to [tex]x^{p}[/tex], we can make the equation:

([tex]x^{13}[/tex])([tex]x^{6}[/tex])=[tex]x^{p}[/tex]

now, apply the laws of exponents; [tex]a^{m} * a^{n} =a^{m+n}[/tex]

in that case, since we're multiplying x to the 13th power by x to the 6th, the result is [tex]x^{13+6}[/tex], which is [tex]x^{19}[/tex]

the equation now:

[tex]x^{19}[/tex]=[tex]x^{p}[/tex]

since the exponents are at the same base, we can solve the equation

19=p

so p is 19

hope this helps :)

Answer:

z = 106

y = 20

Step-by-step explanation:

Answer:

C

the answer is c I have done this before

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cachemirisufyan

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2a + 2c = 5a - 5b

recopilar términos ligeros.

toma 2a en el otro lado

2c = 5a -2a-5b

2c = 3a - 5b

divide 2c's 2 en ambos lados

y

c = (3a - 5b) / 2

dar un más inteligente por favor. tnx que tengas un buen día.

Answer:

58.28 Sq in

Step-by-step explanation:

Area of the composite figure

=Area of trapezoid + Area of semicircle

[tex] = \frac{1}{2} (15 + 11) \times 4 +\frac{1}{2} \times 3.14\times 2^2 \\ \\ = 26 \times 2+6.28 \\ \\ = 52+6.28=58.28 \: {in}^{2} [/tex]

Answer:

a) 25%

b) 29 - 7 = 22

c) 21

d) 26 - 15 = 11

e) 75%

Step-by-step explanation: