Colin invests £2350 into a savings account. The bank gives 4.2% compound
interest for the first 4 years and 4.9% thereafter. How much will Colin have after
10 years to the nearest pound?

Answer:

Its already in factored form.

Step-by-step explanation:

Answer:

x^2 - 4x - 12

Step-by-step explanation:

Using FOIL (first, outside, inside, last), multiply each term in the order:

you should get ---> x^2 + 2x - 6x - 12

now, add like terms

you should get ---> x^2 - 4x - 12

Answer:

f(-2) = -12

Step-by-step explanation:

f(x)= x² + 8x

We want to find f(-2)

f(-2) = (-2)² + 8(-2)

Apply exponent : (-2)² = 4

f(-2) = 4 + 8(-2)

multiply 8 and - 2 : 8 * -2 = -16

f(-2) = 4 - 16

subtract 16 from 4 : 4 - 16 = -12

f(-2) = -12

Step-by-step explanation:

f(-2) = (-2)² + 8(-2) = 4 - 16 = -12

Answer:

Step-by-step explanation:

if you need help let me know

Answer:

Thanks I guess…

Step-by-step explanation:

Answer:

x =27/4

x=6.75

x=6 3/4

Step-by-step explanation:

They are all the same answer just written in different forms. Didn't know what form u wanted so i wrote them all

Answer:

x = 6.75

Step-by-step explanation:

cross multiply 9/16 = x/12

16x = 108

divide by 16 to isolate x

x = 6.75

Answer:

10. y degree = 102 degree

11. x degree = 103 degree

Step-by-step explanation:

The formula to calculate the sum of the interior range of polygons is (n-2) * 180.

With n being the number of sides.

From that sum, you can then deduce the angles of y or x, by substracting the other angles.

10. n = 4 => ( 4 - 2 ) * 180 = 2 * 180 = 360 degree

y = 360 - 120 - 85 - 53 = 102 degree

11. n = 5 => (5 - 2) * 180 = 3 * 180 = 540 degree

x = 540 - 117 - 100 - 105 - 115 = 103 degree

Answer:

obtuse and isosceles

Step-by-step explanation:

[tex]x^2 + \dfrac 1{x^2} = \dfrac{x^4 +1}{x^2}[/tex]

[tex]2+2+x+10+x-2+9=x\\2+2+x+10+x-2+9 -x=0\\(2+2+10-2+9)+(x+x-x)=0\\21+x=0\\x=-21[/tex]

ANSWER: ? = -21

P/s: ? = x < let ? is x >

ok done. Thank to me :>

Answer:

The answer can be 25 or higher.

Step-by-step explanation:

This is because I added: 10+9=19+2+2+2=25. Then we have 2 ? marks. There are + signs next to them so the answer is 25 or higher.

Answer:

12 is not an outlier as it is not greater than 13.

Step-by-step explanation:

2, 2, 3, 3, 4, 5, 5, 6, 7, 9, 12

Median = 5

Q₁ = 3 (3rd term in sequence)

Q₃ = 7 (9th term in sequence)

IQR = 4

Outliers are either values significantly larger or smaller than the rest of values;

The upper limit is the value above which it can be considered an outlier, it is found by: Q₃ + ³/₂(IQR)

The lower limit is found by: Q₁ - ³/₂(IQR)

Outliers < 3 - ³/₂(4)

Outliers < -3

Outliers > 7 + ³/₂(4)

Outliers > 13

The lower limit is -3 and the upper limit is 13

Answer:

4

Step-by-step explanation:

[tex]2.6\le2.6[/tex] classifies as [tex]\text{true}[/tex]

[tex]-6<-6[/tex] classifies as [tex]\text{false}[/tex],

[tex]3.1>-3.1[/tex] classifies as [tex]\text{true}[/tex]

so [tex]-5\ge -5[/tex] classifies as [tex]\text{true}[/tex]

To classify the statements, we need to evaluate each of them:

[tex]\text{Evaluate }2.6\le2.6\\\implies (2.6<2.6)\text{ or }(2.6=2.6)\\\implies \text{false or true}\\\implies\text{true}[/tex]

so [tex]2.6\le2.6[/tex] classifies as [tex]\text{true}[/tex], since the statement also allows [tex]2.6[/tex] to be equal to itself.

[tex]\text{Evaluate }-6<-6\\\implies\text{false}[/tex]

so [tex]-6<-6[/tex] classifies as [tex]\text{false}[/tex], since [tex]-6[/tex] is equal to itself, not smaller.

[tex]\text{Evaluate }3.1>-3.1\\\implies \text{true}[/tex]

so [tex]3.1>-3.1[/tex] classifies as [tex]\text{true}[/tex], since [tex]x>-x[/tex], for all real numbers

[tex]\text{Evaluate }-5\ge-5\\\implies (-5>-5)\text{ or }(-5=-5)\\\implies \text{false or true}\\\implies\text{true}[/tex]

so [tex]-5\ge -5[/tex] classifies as [tex]\text{true}[/tex], since the statement also allows [tex]-5[/tex] to be equal to itself.

Learn more about inequalities here: https://brainly.com/question/24786628

Answer: Y = Z!

Step-by-step explanation: Hopes This Helps!

Answer:

5 hours

Step-by-step explanation:

Your equation is 105 = 15x + 30 subtract 30 from both sides, then divide by 15 to get x = 5 hours.

Brainliest would be apprappreciated. :-)

[tex](x-4)(x-3) =0\\\\\implies x-4 = 0~~ \text{ or}~~ x - 3 = 0\\\\\implies x = 4~~ \text{or}~~ x = 3[/tex]

Answer: [tex]\frac{17}3}[/tex] or 17:3

Step-by-step explanation:

Since Lydia got 17 out of 20 questions correct, that means she got 3 out of 20 incorrect. To get the ratio of correct (17) to incorrect (3) answers, we can simply divide the two numbers as follows:

[tex]\frac{17}3}[/tex] or 17:3

Since this ratio is already in simplest terms, this is the final answer.

Answer:

x is 8.2 I think hold on

yeah I think

Answer:

  (a)  0.4307

  (b)  1.3906

Step-by-step explanation:

  [tex]\log_5{2}=\log_5{8^{\frac{1}{3}}}=\dfrac{1}{3}\log_5{8}=\dfrac{1.2920}{3}\approx0.4307[/tex]

__

  [tex]\log_5{\dfrac{75}{8}}=\log_5{3\cdot5^2\cdot8^{-1}}=\log_5{3}+2\log_5{5}-\log_5{8}\\\\=0.6826 +2-1.2920=1.3906[/tex]

Answer:

6π Km

Step-by-step explanation:

The arc length is calculated as

arc = circumference of circle × fraction of circle

    = 2πr × [tex]\frac{120}{360}[/tex]

   = 2π × 9 × [tex]\frac{1}{3}[/tex]

   = 18π × [tex]\frac{1}{3}[/tex]

  = 6π Km ← exact value

Answer:

neither

Step-by-step explanation:

exponential grows larger with each step and liner is constant

Answer:

Exponential because you don't start at 0

Step-by-step explanation:

Similar triangles that have a scale ratio other than 1 are not congruent triangles.

The true statement about the proportions of the sides is [tex]\frac{AC}{DF} = \frac 52[/tex]

The scale ratio is given as: 5 : 2

And the corresponding sides are given as:

The above highlights mean that,

[tex]\frac{AC}{DF} = \frac{BC}{EF} = \frac{AB}{DE} = \frac 52[/tex]

Hence, the true statement is [tex]\frac{AC}{DF} = \frac 52[/tex]

Read more about similar triangles at:

https://brainly.com/question/14285697

Answer:

3791

Step-by-step explanation:

Answer:

3791

Step-by-step explanation:

2872+919=3791

2872 + 919 = 3791

2872+919=3791

2872+919=3791

Answer:

Petra would need to save for 12 weeks to get 126

126+34.75=160.75

Petra need to save $10.50 to have enough money to buy the electronic reader in 12 weeks.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Petra wants to buy an electronic reader that costs $160.75 including tax. She has saved $34.75.

Here, So far and plans to save an additional $10.50 each week.

Let number of weeks to save $10.50 to have enough money to buy the electronic reader = x

So, We can formulate;

⇒ 10.50x + 34.75 = 160.75

Solve for x;

⇒ 10.50x = 160.75 - 34.75

⇒ 10.50x = 126

⇒ x = 126/10.50

⇒ x = 12

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Answer:

Step-by-step explanation:

Sum of interior angles is 180

Sum of interior angles is 180

Vertical angles are same, the sum of remaining angles is same for both triangles:

Exterior angle is same as the sum of non-adjacent interior angles:

identicalAnswer:

1) 64, 2) 6, 3) 26, 4) 33

Step-by-step explanation:

#1

Sum of interior angles is 180

70 + 46 + x = 180

116 + x = 180

x = 64

#2

Sum of interior angles is 180

84 + 7x + 1 + 9x - 1 = 84

16x + 84 = 180

16x = 96

x = 6

#3

Vertical angles are identical, the sum of remaining angles is the same for both triangles:

35 + 25 = 34 + x

60 = 34 + x

x = 60 - 34

x = 26

#4

The exterior angle is the same as the sum of non-adjacent interior angles:

5x - 7 + 6x + 3 = 84

11x - 4 = 84

11x = 88

x = 8

m∠G = 5x - 7 = 5*8 - 7 = 40 - 7 = 33

Answer:

1) 6 & 2)12

Step-by-step explanation:

Solve the equations backwards-

1) Subtract 6 from 36, and then divide by 5.

36 = 6 + 5x

(36 - 6)/5 = x

x = 6

2) Subtract 7 from 43, and then divide by 3.

43 = 7 + 3y

(43 - 7)/3 = y

y = 12

Answer:

C)12

Step-by-step explanation:

[tex] {y}^{2} = {37}^{2} - {35}^{2} [/tex]

[tex] {y}^{2} = 1369 - 1225[/tex]

[tex] {y}^{2} = 144[/tex]

[tex]y = 12[/tex]