Dan invests £800 into his bank account.
He receives 5% per year simple interest.
How much will Dan have after 3 years?
Give your answer to the nearest penny where appropriate.​

Answer:

C.6 squared

Step-by-step explanation:

Answer:

$8

Step-by-step explanation:

5 increase 60% =

5 × (1 + 60%) = 5 × (1 + 0.6) = 8

Given:

The function is

[tex]f(x)=-x^2-5x+12[/tex]

To find:

The average rate of change of the function over the interval −5 ≤ x ≤ 4.

Solution:

The average rate of change of a function f(x) over the interval [a,b] is

[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]

Putting x=-5 in the given function, we get

[tex]f(-5)=-(-5)^2-5(-5)+12[/tex]

[tex]f(-5)=-25+25+12[/tex]

[tex]f(-5)=12[/tex]

Putting x=4 in the given function, we get

[tex]f(4)=-(4)^2-5(4)+12[/tex]

[tex]f(4)=-16-20+12[/tex]

[tex]f(4)=-24[/tex]

Now, the average rate of change of the function over the interval −5 ≤ x ≤ 4 is

[tex]m=\dfrac{f(4)-f(-5)}{4-(-5)}[/tex]

[tex]m=\dfrac{-24-12}{4+5}[/tex]

[tex]m=\dfrac{-36}{9}[/tex]

[tex]m=-4[/tex]

Therefore, the average rate of change of the function over the interval −5 ≤ x ≤ 4 is -4.

Answer:

BC=23

Step-by-step explanation:

Use sine rule:

x/sinX=y/sinY

BC/sinA=AB/sinC

BC/sin61=9/sin20

BC=26.3142396015*sin61

BC=23.0149525338

Answer:

1.  A

2.  A

you just have to distribute and add the x's and other numbers together

Answer:

Step-by-step explanation:

1.A

2.A

Answer:

SA: 664 in²

LA: it’s supposed to be 1040cm???

Step-by-step explanation:

SA: find the area of all sides of the prism first (I suppose it’s rectangular?)

80+80+112+112+140+140 = 664

LA: the lateral area formula is (perimeter of base)*height...

perimeter of base = (6+6+14+14) = 40

40 * 26 = 1040

I may be wrong on the second one since I don’t know what the prism’s shape is... Hope it helps though ;)

Answer:

1,092

Step-by-step explanation:

Answer:

(x+10)(x-10)

Step-by-step explanation:

Answer:

You would have to sell 10,000 in a week for the straight commission offer to be at least as good.

Step-by-step explanation:

From the information provided, you can find how much you would have to sell in a week in order for the straight commission offer to be at least as good by establishing an equation in which the amount earned in the first company is equal to the amount earned in the second company:

0.08x=500+0.03x, where x is the amount of sales

Now, you can solve for x:

0.08x-0.03x=500

0.05x=500

x=500/0.05

x=10,000

According to this, the answer is that you would have to sell 10,000 in a week for the straight commission offer to be at least as good.

Answer:

We can use the formula for finding arc length given ccx central angle and radius.(insert formula below) We then substitute 5 in for r and and 60 for x. We multiply 2 pi times 5 which gives us 10. We then reduce the fraction of 60/360 to 1/6. We multiply 10 pi by 1/6 and that gives us

10 pi/6 or 5 pi/3

Step-by-step explanation:

We can use the formula

[tex]2\pi \times r( \frac{x}{360} )[/tex]

to find the arc length where r is the radius.

and x is the arc measure.

Plug it in for the numbers

[tex]2\pi \times 5( \frac{60}{360} )[/tex]

Multiply 2 pi times 5=10 pi

[tex]10\pi( \frac{60}{360} )[/tex]

Simplify 60/360 to 1/6

[tex]10\pi \times \frac{1}{6} = \frac{10\pi}{6} [/tex]

Reduce it to

[tex] \frac{5\pi}{3} [/tex]

Answer:

a=542

Step-by-step explanation:

you welcome have a good day

Answer:

the answer will be a=524

Step-by-step explanation:

Ryan is 22 years old.

What is the system of equations?

A system of equations is a collection of one or more equations that are considered together. The system can consist of linear or nonlinear equations and may have one or more variables. The solution to a system of equations is the set of values that satisfy all of the equations in the system simultaneously.

Let's use the given information to set up a system of equations to solve for Ryan's age.

We know that Ryan's age, y, is twice Chaise's age, x, so we can write:

y = 2x (Equation 1)

We also know that Ryan is 11 years older than Chaise, so we can write:

y = x + 11 (Equation 2)

Now we can substitute Equation 1 into Equation 2:

2x = x + 11

Simplifying, we get:

x = 11

So Chaise is 11 years old.

To find Ryan's age, we can use either Equation 1 or Equation 2. Let's use Equation 2:

y = x + 11

y = 11 + 11

y = 22

Therefore, Ryan is 22 years old.

To learn more about the system of equations visit:

brainly.com/question/25976025

#SPJ1

Answer: 1.175A

Step-by-step explanation:

From the information given in the question, we are told that the amount of money that is in a bank account increased by 17.5% while the money at the beginning of the year is represented by A.

The expression that represents the amount of money in the bank account after the increase will be:

= A + (17.5% × A)

= A + (17.5/100 × A)

= A + (0.175 × A)

= A + 0.175A

= 1.175A

Answer:

in simplest form=81/64

decimal=1.265625

Answer:

x=5y-35

Step-by-step explanation:

Answer:

40% of the fruit in the bowl are oranges.

Step-by-step explanation:

12/30=0.4

Step-by-step explanation:

so do you have building blocks cuz you use it and then after you do that you get the cue that has an eight on it and then you would keep on adding on and then that would be the answer

Answer:

512.

Step-by-step explanation:

8 cubed is the same as 8 to the third power.

We usually use other ways to represent certain number to the power to help make equations easier and write less so,

instead of saying: 2 to the second power; we say 2 squared.

Instead of saying 2 to the third power; we say 2 cubed.

The number 2 was used just as example, it could be any number.

so 8 cubed = 8 to the third power so,

8 cubed = [tex]8^{3}[/tex] = 8x8x8 = 512

Answer:

4.

Step-by-step explanation:

There are 18 squares, if you want to shade 2/9 you have to make the denominator, which is 9 into 18, so you multiply by 2, you will do the same thing to the numerator, 2x2=4 9x2=18.

Brainiest would be appreciated.

There are 4 squares that would have to be shaded so that 2/9 of the shape is shaded.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

We have to determine the number of squares that would have to be shaded so that 2/9 of the shape is shaded

According to the given figure,

There are 3 rows and 6 columns of squares

So the number of squares would be 3 × 6 = 18

There are 18 squares, therefore if you want to shade 2/9, you must first divide the denominator, which is 9 into 18, by 2, and then multiply by 2.

If 2/9 of the shape is shaded: 18 × 2/9 ⇒ 36/9 = 4

Hence, there are 4 squares that would have to be shaded so that 2/9 of the shape is shaded.

Learn more about Arithmetic operations here:

brainly.com/question/25834626

#SPJ2

Answer:

you can answer it like 15 to 3 or

15:3

[tex]\color{plum}\tt(B) \: segment \: \: MA \: ≅ \: segment \: SA[/tex]

Which means, the following are the corresponding(equal/similar) parts :

Thus, the statement (B) is false because there is no evidence to prove that segment MA ≅ segment SA.

Therefore, the correct option is - (B) segment MA ≅ segment SA

The value of x is 3.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

As, we know that The median (also called a midline or midsegment) is a line segment half-way between the two bases.

median = (a+ b ) / 2

So, 12.5 = (3x+1 + 15) / 2

12.5 = 3x + 16 / 2

25 = 3x + 16

3x = 9

x= 3

Hence, the value of x is 3.

Learn more about Equation here:

https://brainly.com/question/29657992

#SPJ2

7384(x)748 (8967-888)

Answer: [tex](x,y) \to (4x,4y)[/tex] which is choice (3)

======================================================

Explanation:

The general transformation of [tex](x,y) \to (kx,ky)[/tex] describes a dilation with scale factor k. If k is not equal to 1, then the resulting image will not be the same size as the preimage.

In this case, k = 4. This means that the resulting image has its side lengths 4 times greater compared to the preimage side lengths. For example, if a side length is 5 units long in the preimage, then its corresponding length in the image is 5*4 = 20 units long.

If this is enlargement applied to all sides, then the perimeter also goes up by the same scale factor (since the perimeter is the sum of all exterior sides). The image perimeter will be four times that of the preimage perimeter.

In summary, if you apply a dilation (where k is not equal to 1), then the perimeter will change. If k > 1, then the perimeter gets larger. If 0 < k < 1, then the perimeter will shrink.

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

Extra info:

Answer:

y = x - 1 3/4*

Step-by-step explanation:

If 1 3/4 is used, then subtracting that from the previous amount will give you the amount that Paula has currently

* My answer is only correct if you meant 1 3/4, not 134. If you meant 134, then the answer would be y = x - 134

Answer:

It's the third one!!

Step-by-step explanation:

grs

Answer:

101

Step-by-step explanation:

the tenth term of the sequence would be 10x10 (10 squared), which equals 100. add 1 to that you get 101.

Answer:

101

Step-by-step explanation:

10 X 10 + 1 = 101

nth term = n^2 + 1

Answer: Your answer will be Option three

Step-by-step explanation: Because she ate 1/3 the rest of the cake.

Have a brilliant day- your friend Lily ^_^

Given:

The sequence is -8, -12, -16.

To find:

The nth and 52th term  of the given sequence.

Solution:

We have,

-8, -12, -16

It is an AP because the difference between consecutive terms are equal. Here, first term is -8 and the common difference is

[tex]r=a_2-a_1[/tex]

[tex]r=-12-(-8)[/tex]

[tex]r=-12+8[/tex]

[tex]r=-4[/tex]

The nth term of an AP is

[tex]a_n=a+(n-1)d[/tex]

Where, a is first term and d is common difference.

Putting a=-8 and d=-4, we get

[tex]a_n=-8+(n-1)(-4)[/tex]

[tex]a_n=-8-4n+4[/tex]

[tex]a_n=-4-4n[/tex]

Putting n=52, we get

[tex]a_{52}=-4-4(52)[/tex]

[tex]a_{52}=-4-208[/tex]

[tex]a_{52}=-212[/tex]

Therefore, the equation for the nth term of the given sequence is [tex]a_n=-4-4n[/tex] and the 52nd term of the sequence is -212.

Answer:

Step-by-step explanation:

Given

Total cost is:

Answer:

10/10

Step-by-step explanation:

pretty good looking pup good snout good fur nice colors overall good pup