£2,300 is invested for 4 years at 5% per year simple interest work out the total interest​

Answer: y = 14^x

Step-by-step explanation:

Here the options are:

a y = 14^x

b y = -3*(17)^x

c y = 120x

d y = -275x

to see which function increases the fastest (or which function is steeper) we need to look at the first derivations of each one of these, and see which one is larger for every value of x:

the derivations are:

a y = x*14^(x - 1)

b y = -x*3*(17)^(x  - 1)

c y = 120

d y = -275

So we can already discard options c and d, because have constant rate of change.

Then we keep options a and b.

Always when we have an exponential function, like a^x and b^x

The one with the larger base will be steeper.

So if a > b, then:

a^x is steeper than b^x

In this case, the function:

y = -3*(17)^x

has a larger base, but, this function is negative.

This means that as x increases, our function will decrease, then this function will not "increase the fastest" (because it does not increase)

Then the left option (a: y = 14^x)

Will be the correct one.

(this will happen after some value of x, because two of the options have constant derivatives, these may be steeper for smaller values of x, and as x increases, we will see that y = 14^x is the one that increases the fastest)

Answer:

15.66

Step-by-step explanation:

First you find what is 46% of 29.00 which is 13.34

Next do 29-13.34 and that is 15.66

that is your answer hope I helped.   :)

Answer:

4.87500

Step-by-step explanation:

hope this helps

Answer:

4.875

Step-by-step explanation:

78 divided by 16 = 4.875

Answer:

Step-by-step explanation:

3 + 5 = 8

7 + 11 = 18

11 + 19 = 30

9514 1404 393

Answer:

  (5, 3 2/3)

Step-by-step explanation:

The centroid is the average of the vertex coordinates:

  (A +B +C)/3 = ((2, 3) +(8, 1) +(5, 7))/3 = (2+8+5, 3+1+7)/3 = (5, 3 2/3)

Answer:

46940064

Step-by-step explanation:

1)

The angle of inclination is the angle between the horizontal and the ramp.

Using the sine ratio in the right triangle formed by the ground and the ramp

let x be the angle of inclination, then

sinx = \frac{opposite}{hypotenuse}

hypotenuse

opposite

= \frac{0.7}{4.2}

4.2

0.7

, then

x = sin^{-1}sin

−1

(\frac{0.7}{4.2}

4.2

0.7

) ≈ 10° ( to the nearest degree )

(2)

Again there is a right triangle between the ground and the vertical height of the kite, with hypotenuse being length of string.

let y be the height of the kite and x the horizontal distance, then

sin27° = \frac{opposite}{hypotenuse}

hypotenuse

opposite

= \frac{y}{176}

176

y

( multiply both sides by 176 )

176 × sin27° = y , then

y ≈ 80m ( to the nearest metre ) ← height of kite

and

cos27° = \frac{adjacent}{hypotenuse}

hypotenuse

adjacent

= \frac{x}{176}

176

x

( multiply both sides by 176 )

176 × cos27° = x , then

x ≈ 157m ( to the nearest metre ) ← horizontal distance

Answer:

d(t)=8cos((pi/12)t)

Step-by-step explanation:

I think this is correct...

A=8 b/c 40-24=16, 16/2 = 8

B=2pi/per, 2pi/24, B = pi/12

Answer:

27- 1 = 26

Step-by-step explanation:

Answer:

-6 (i can explain if its needed)

Step-by-step explanation:

[tex]2 - {n}^{2} + 3 \times 14 - {n}^{2} = \\ 2 - {n}^{2} + 42 - {n}^{2} = \\ 2 - 25 + 42 - 25 = - 6[/tex]

Answer:

U is (0,-8)

V is (0,-10)

T is (5,-8)

S is (5,(-10)

Answer:

A drawing that shows a real object with accurate sizes reduced or enlarged by a certain amount (called the scale). The scale is shown as the length in the drawing, then a colon (":"), then the matching length on the real thing.

Step-by-step explanation:

Answer:

Answer down below!

Step-by-step explanation:

A scale drawing is a drawing that is downsized. They are usually used to see how small to make a particular thing.

Answer: 990

Step-by-step explanation:

(18 x 21) + (3 x 18) + (21 x 18) + (2)(21x3) + (3 x 18) = 990

Answer:

A. 990

Step-by-step explanation:

Answer:

y= 28x+8

Step-by-step explanation:

Answer:

16/15 or 1  1/15

Step-by-step explanation:

4/5 divided by 3/4

Flip 3/4 so it is 4/3

Multiply 4/5 by 4/3

16/15

Answer:

A. $37,395

Step-by-step explanation:

correct on edge! hope it helps :)

The savings from the difference between the 30–year loan at 11%, which

is 6% gives an interest when the mortgage is paid of approximately;

a. $37,395.18

The amount paid is given as follows;

[tex]Monthly \ payment, \ M = \mathbf{\dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot }\left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}[/tex]

Which gives;

[tex]M = \dfrac{150000 \times \left(\dfrac{0.11}{12} \right) \cdot \left(1+\dfrac{0.11}{12} \right)^{30 \times 12} }{\left(1+\dfrac{0.11}{12} \right)^{30 \times 12} - 1} \approx \mathbf{1,428.49}[/tex]

Payment in 10 years = $1,428.49 × 120 ≈ $171,418.8

At the lower interest rate the person could have received (11 - 6 = 5)%, we have;

[tex]M = \mathbf{\dfrac{150000 \times \left(\dfrac{0.05}{12} \right) \cdot \left(1+\dfrac{0.05}{12} \right)^{30 \times 12} }{\left(1+\dfrac{0.05}{12} \right)^{30 \times 12} - 1}} \approx 805.23[/tex]

Payment in 10 years = $805.23 × 120 ≈ $92,227.6

Savings = $171,418.8 - $96,627.6 = $74,791.2

The time duration the savings is invested in the account = 30 years - 10 years = 20 years

Which gives;

Simple interest  after 20 years = $74,791.2 × 0.025 × 20 ≈ $37,396.6

Therefore;

The option that best gives the amount of money that would have accumulated in interest is the option a.

a. $37,395.18

Learn more about compound and simple interest here:

https://brainly.com/question/24557100

https://brainly.com/question/9245816

Answer:

x = 7

Step-by-step explanation:

4x−12=16

Step 1: Add 12 to both sides.

4x−12+12=16+12

4x=28

Step 2: Divide both sides by 4.

4x/4 = 28/4 = 7

x=7

Answer:

100

Step-by-step explanation:

360 is the total degree for every quadrilateral. 80+75+105=260. 360-260=100.

Answer:

20%

Step-by-step explanation:

This is because the amount decreased is 17 and 17 is what percent of 85? The answer is 20%.

Answer:

28

Step-by-step explanation:

All angles together in the triangle are 180.

62+90+x=180

x=180-(90+62)

x=180-152

x=28

Answer:

n >_44

Step-by-step explanation:

1/2n>_22

(times 2 on both sides)

n >_44

*** >_ is greater than or equal to sign

Answer:

A)473 = 335 - 46x

B) 3

Step-by-step explanation:

A)

473 = 335 - 46x

x = the hours of labor needed.

B)

Solve for x

473 = 335 - 46x

subtract 335 from both sides

138 = 46x

divide both sides by 46

3 = x

Answer:

A) [tex]46x+335=473[/tex]  B)[tex]x=3[/tex]

Step-by-step explanation:

473 is the total amount, which means it is the end result

335 represents a constant since it is a base price

the hourly rate is a variable, due to the fact that it depends on how many hours he spent working.

variable + constant = total price

[tex]46x+335=473[/tex]

Now to solve this, first subtract [tex]335[/tex] from both sides

[tex]46x=138[/tex]

Next divide both sides by [tex]46[/tex] to isolate the variable

[tex]x= \frac{138}{46}[/tex]

This can be simplified to: [tex]x=3[/tex]

plz mark me brainliest. ;)

Answer:

He invested $13500 in fund A, and $4500 in Fund B

Step-by-step explanation:

maths

Answer:

Step-by-step explanation:

81 = 9 * 9 = 3 * 3 * 3 *3

8 = 2 * 2 * 2 *2

[tex]\sqrt{81 * 8 } = \sqrt{3*3*3*3*2*2*2}\\\\=3 * 3 * 2 \sqrt{2}\\\\= 18\sqrt{2}[/tex]

Answer: x= 10, y= 13. i dont know for sure so i'd wait for someone else to answer

Answer:

x = 12

y = 13

Step-by-step explanation:

by pythagoras theorem

x²=20²-16²

x²=400-256

x²=144

x=12

y²=x²+5²

y²=12²+5²

y²=144+25

y²=169

y=13

Answer:

i did't see the value I in the equation

Step-by-step explanation: