The cash price for a car was £7460. Mr Roberts bought the car on the
following hire purchase terms: A deposit of 20% of the cash price and 36 monthly payments of £191.60. Calculate the total amount Mr Roberts paid.

Using interest equations, it is found that it will take 1.08 year more for Lydia's money to triple than for Lily's.

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

It is given by:

[tex]A(t) = Pe^{rt}[/tex]

For Lily, the parameters are as follows: r = 0.065, with continuous compounding. The time to triple is t for which A(t) = 3P, hence:

[tex]A(t) = Pe^{rt}[/tex]

[tex]3P = Pe^{0.065t}[/tex]

[tex]e^{0.065t} = 3[/tex]

[tex]\ln{e^{0.065t}} = \ln{3}[/tex]

[tex]0.065t = \ln{3}[/tex]

[tex]t = \frac{\ln{3}}{0.065}[/tex]

[tex]t = 16.90[/tex].

For Lydia, using compound interest, the parameters are: r = 0.06125, n = 12, hence:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]3P = P\left(1 + \frac{0.06125}{12}\right)^{12t}[/tex]

[tex](1.00510416667)^{12t} = 3[/tex]

[tex]\log{(1.00510416667)^{12t}} = \log{3}[/tex]

[tex]12t\log{(1.00510416667)} = \log{3}[/tex]

[tex]t = \frac{\log{3}}{12\log{(1.00510416667)}}[/tex]

[tex]t = 17.98[/tex]

17.98 - 16.9 = 1.08, hence, it will take 1.08 year more for Lydia's money to triple than for Lily's.

More can be learned about interest equations at https://brainly.com/question/25781328

Answer:

-7/8

Step-by-step explanation:

rate of change is the same as slope so -7/8

Answer:

Step-by-step explanation:

find the rate of change from the equation:

y = -7/8x + 3

use the formula: y = mx + b

where:

y = how far up the line goes

m = slope

x = how far along

b = Y-intercept

so the rate of change is the same as the slope

therefore, the slope = -7/8

Answer:

15.5

Step-by-step explanation:

5+2x5-1+6/4=15.5

using a calculator this answer is correct.

Answer:

25%, 50%, 12.5%,12.5%

Step-by-step explanation:

6/24

3/24

12/24

3/24

Answer:

Option 1, 2, 5 are the correct answer.

Answer:

4[tex]\sqrt{2\\[/tex] or 5.7

Step-by-step explanation:

a^2 + b^2 = c^2

4^2 + 4^2 = c^2

16 + 16 = c^2

32 = c^2

4[tex]\sqrt{2\\[/tex] or 5.7

yeah 5 is 5% of 100 i dunno bro

if anything try .25

sorry

Answer:

15m2 is the answer my friend.....

Answer:

Step-by-step explanation:

All you would do is multiply the length and the width, so you would multiply 5m by 3m and get 15m as your answer.

Answer:

12(1+3)

6(3+1)

12(4)

6(4)

48

24

answer = 2

Hi! I hope you're enjoying your day!

Let's add the following polynomials.

How to add them? Just combine like terms. :)

[tex]\bold{2x^2-10x+1 ~and~x^2+15x-8}[/tex]

[tex]\bold{2x^2+x^2-10x+15x+1-8}[/tex]

Hence, the answer is

[tex]\boxed{\boxed{\bold{3x^2+5x-7}}}[/tex]

[tex]\rule{250}{2}[/tex]

[tex]\bold{2x^3-3x^2+5\;and\;5x^2-3x^3+7}}}\\[/tex]

Combine Like terms:

[tex]\bold{2x^3-3x^3-3x^2+5x^2+5+7}[/tex]

Hence, the answer is

[tex]\boxed{\boxed{\bold{-x^3+2x^2+12}}}[/tex]

Hope everything is clear.

If you have any questions, please comment.

#LearningIsFun

Answer:

6

Step-by-step explanation:

it's basically the same equation just different arrangement

Answer: Around 1.2 meters

Step-by-step explanation:

Scale factor

[tex]\\ \rm\rightarrowtail k=\dfrac{y}{x}[/tex]

[tex]\\ \rm\rightarrowtail k=\dfrac{0.5}{2.5}[/tex]

[tex]\\ \rm\rightarrowtail k=\dfrac{1}{5}[/tex]

Answer:

6000/1+0.04 power of 5

= 32,269.44

Answer:

D the number 7 to the right of -4 on the number line

Answer:

The first question I got 1056.25

Step-by-step explanation:

Answer:

Kelsey has 8 plus more entries

8 + x

Answer:

Sum of interior angles of a triangle = 180°

Sine rule to find side lengths:

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

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

Question 1aa

Given: B = 10°, C = 100°, b = 2

10° + 100° + A = 180°

⇒ A = 70°

[tex]\dfrac{a}{\sin 70}=\dfrac{2}{\sin 10}=\dfrac{c}{\sin 100}[/tex]

[tex]\implies a=\sin 70 \cdot \dfrac{2}{\sin 10}=10.82294826...[/tex]

[tex]\implies c=\sin 100\cdot \dfrac{2}{\sin 10}=11.34256364...[/tex]

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

Question 2bb

Given: A = 40°, B = 40°, c = 2

40° + 40° + C = 180°

⇒ C = 100°

[tex]\dfrac{a}{\sin 40}=\dfrac{b}{\sin 40}=\dfrac{2}{\sin 100}[/tex]

[tex]\implies a=\sin 40\cdot\dfrac{2}{\sin 100}=1.305407289...[/tex]

[tex]\implies b=\sin 40\cdot\dfrac{2}{\sin 100}=1.305407289...[/tex]

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

Question 1aa

Given: A = 110°, C = 30°, c = 2

110° + 30° + B = 180°

⇒ B = 40°

[tex]\dfrac{a}{\sin 110}=\dfrac{b}{\sin 40}=\dfrac{3}{\sin 30}[/tex]

[tex]\implies a=\sin 110 \cdot \dfrac{3}{\sin 30}=5.638155725...[/tex]

[tex]\implies b=\sin 40\cdot\dfrac{3}{\sin 30}=3.856725658...[/tex]

Answer:

x = -0.4y

Step-by-step explanation:

Simplifying

15x + 6y = 0

Solving

15x + 6y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6y' to each side of the equation.

15x + 6y + -6y = 0 + -6y

Combine like terms: 6y + -6y = 0

15x + 0 = 0 + -6y

15x = 0 + -6y

Remove the zero:

15x = -6y

Divide each side by '15'.

x = -0.4y

The expression to be evaluated:

For,

First step in evaluating an expression is to substitute the given value of variable into the expression. Then you can finish evaluating the expression using arithmetic.

On putting the values of x and y in the given expression:

‎ㅤ‎ㅤ➝ 2x² - y + 3x

‎ㅤ‎ㅤ➝ 2× ( 3 )² - 7 + 3 × 3

‎ㅤ‎ㅤ➝ ( 2 × 9 ) - 7 + 9

‎ㅤ‎ㅤ➝ 18 - 7 + 9

‎ㅤ‎ㅤ➝ 11 + 9

‎ㅤ‎ㅤ➝ 20

Step-by-step explanation:

1. 1/9 of 450

of is multiply

1/9 × 450

= ???

2. 15/60 = decimal number

change number to percentage = ???

I dont know what 3 is

put answers to 1 and 2 in comments i will mark if u don't understand comment

please mark brainiest

Answer:

[A] y(y + 4) - y = 6

[C] 4 b (b)=0

Step-by-step explanation:

First let know what is a quadratic functions(s):

A function is called Quadratic if it consist of  only one variable, maximum of three terms, and highest degree of the variable  in that Polynomial is 2.

Now let's go through the answer choices:

[A]  

y *(y+4) - y =6

y² + 4 y - y -6=0

y²+3 y -6=0

Thus, This is Quadratic Function.

[B]

3 x +2 + 6 x -1=0

9 x-1=0

Thus, This is not Quadratic Function

[C]

4 b*(b)=0

4 b²=0

Thus, This is Quadratic Function.

[D]

3 a- 7 =2 * (7 a-3)

3 a - 7=14 a - 6

3 a - 14 a = 7 -6

-11 a =1

Thus, This is not a Quadratic Function.

Hence, [A] and [C] are quadratic functions.

[RevyBreeze]

Step-by-step explanation:

Here,

[tex]\angle{ADB}[/tex] = [tex]\angle{BDC}[/tex]

⇒4x-23° = 3x-5°

⇒4x-3x=(-5°)+23°

⇒x=18°

.°. x = 18°

Answer:

x = 18°

Step-by-step explanation:

Answer:

x = 36/5, 7 1/5, or 7.2 (all same, just in different form)

Step-by-step explanation:

Step 1: Subtract 6 from both sides.

Step 2: Multiply both sides by 9/5.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

b i your answer i know it

Step-by-step explanation:

The 3rd Box-and-Whisker Plot correctly depicts the data given.

We have the Box-and-Whisker Plots for the data -

{22, 24, 24, 25, 26, 26, 27, 28, 28, 30} shown in the image.

We can identify the boxplot by the median calculation easily. We can find the median of the given data set as -

[M] = (26 + 26)/2 = (2 x 26)/2 = 26

Therefore, the 3rd Box-and-Whisker Plot correctly depicts the data given.

To solve more questions on Box-and-Whisker Plots, visit the link below

https://brainly.com/question/26963285

#SPJ2

Answer:

F(k) = 2k e-2 / k!

Mean =µ = 2 x 3 = 6

f(k) = 6k e-6 / k!

F(2) = 22 e-2 / 2!

        = 0.2707

F(6) = 66 e-6 / 6!

        = 0.1606

f(5) = 45 e-4 / 5!

      = 0.1563

Step-by-step explanation:

Solution:

Given:

Mean = µ = 2 per time period

Poisson probability:

F(k) = µk e-µ / k!

(a) Poisson probability for one time period.

Put µ = 2 in formula, we get:

F(k) = 2k e-2 / k!

(b) Expected number of occurrence in three time period.

Mean of one time period is multiply with number of time period.

Mean =µ = 2 x 3 = 6

(c) Probability of occurrence in three time period.

Put the value of µ = 6 in the given formula, we get:

f(k) = 6k e-6 / k!

(d) Probability of two occurrences in one time period.

Put k = 2 in given formula:

F(2) = 22 e-2 / 2!

        = 0.2707

(e) Probability of six occurrences in three time period.

Put k = 6, in given formula, we get:

F(6) = 66 e-6 / 6!

        = 0.1606

(f) Probability of five occurrences in two time period.  

Mean of one time period is multiply by the number of time periods.

µ = 2 x 2 = 4

put k = 5 and µ = 4 in formula, we get:

f(5) = 45 e-4 / 5!

      = 0.1563

Answer:

The area of this figure is  106 square meters

Step-by-step explanation:

7*4=28

(10*5)

50+28+28= 106 sq meters

Answer:

I think it's 16

Step-by-step explanation:

your adding 4