Natalie invests £600 for 2 years at 10% per year compound interest. How much interest does she earn?

Answer:

Rewrite as an equation.

log

9(729)=x

Rewrite

log

9(729)=x

in exponential form using the definition of a logarithm. If

x and b

are positive real numbers and b

does not equal 1, then log b(x)=y is equivalent to by=x. 9x=729

Create expressions in the equation that all have equal bases.

(32)x=3

Rewrite

(32)x as 32x. 32x=36

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

2 x 3=6

Solve for

x.x=3

The variable  x

is equal to

3.3

Step-by-step explanation:

The expression not equal to 729 is 6³

Exponents, also known as powers, are values that show how many times to multiply a base number by itself. For example, 43 is telling you to multiply four by itself three time:4³= 4 × 4 × 4 = 64

Given here  3⁶= 3×3×3×3×3×3

                        = 729

                    6³ = 6×6×6

                         = 216

                    9³ = 9×9×9

                         = 729

Hence 6³ is the expression not equal to 729

Learn more about the exponent power rule here:

https://brainly.com/question/29125740

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Answer:

the write answer is

speed over time for a given period

Step-by-step explanation:

please click the like button and follow them

Answer:

(-4,-7)

Step-by-step explanation:

Answer:

y - 7 = -5(x + 2)

Step-by-step explanation:

What's the goal of this problem?  Please include the instructions.

If you want the equation of the line, recognize that a point on the line and the slope of the line are given:  y - k= m(x - h) becomes   y - 7 = -5(x + 2)

Answer:

AAS

Step-by-step explanation:

♪＼(*＾▽＾*)／＼(*＾▽＾*)／

Answer:

i think 36

Step-by-step explanation:

1152 / 32= 36

Answer:

square root of five = 2.2360679775

Answer:

2.23

Step-by-step explanation:

first, what does square root means? it means a number which produces a specified quantity when multiplied by itself.

so in this suation we need to find a number that is multiplied by itself to get 5.

5 does not have a square root in whole numbers it has a square root in decimal. we need to find the closest number to 5 that has a square root and that is a 4. the square root of 4 is 2 so, the 5 square root is gonna be 2 and something decimal.

lets multiply :

2.25*2.25 = 5.0625

the number 5.0635 is a little too big for the number 5

now lets multiply :

2.23*2.23 = 4.9729

if we round the number 4.9729 it will equal 5

so, the square root of 5 is 2.23

[tex]\sqrt{5} = 2.23[/tex]

Have a wonderful day

Answer:

$50.40

Step-by-step explanation

The sculpture cost $24 to make so for her to make a 175% profit think of it as a decimal which is 1.75. So you do 24*1.75=$42. Then retailer marks up an additional 120% so then it'll be 42*1.20= 50.4

Answer:

...

Step-by-step explanation:

Answer:

y=1

Step-by-step explanation:

Answer:

According to the above graphical figure it is found that,

When the input value of x is -7, output value of y is 1.

Location on the graph → (-7,1).

Answer:

Step-by-step explanation:

When you have a negative exponent, you can put a 1 over the entire thing and make the exponent positive:

[tex]\frac{1}{(\frac{1}{4}^2) }=\frac{1}{\frac{1}{16} } =16[/tex]

Answer:

(y+1)(y+5)

Step-by-step explanation:

Answer:

junk personally

Answer:

junk

Step-by-step explanation:

Answer:15%

Step-by-step explanation:

i hope this is the answer

Answer:

Step-by-step explanation:

So

[tex]\\ \rm\Rrightarrow (\dfrac{1}{4}a^4b^5)^2[/tex]

[tex]\\ \rm\Rrightarrow 1/16a^{4×2}b^{5×2}[/tex]

[tex]\\ \rm\Rrightarrow 1/16a^8b^{10}[/tex]

Answer:

B. 7.k+7.3-18

Step-by-step explanation:

Distributive Property,

7 (k+3) = 7 x k + 7x 3

Answer:

Down

3

2

Step-by-step explanation: on edge trust me.

Answer:

Adding –2i to z results in a shift  ✔ down . The resulting number is   ✔ 3  –  ✔ 2 i.

Step-by-step explanation:

just did it on edge :)

good luck

please mark me brainliest!!

Answer:

?????.... hii erica herrrr

Answer:

Hi Liliana i love your name! it's very pretty:) my name is Melody

Step-by-step explanation:

Answer:

Although an individual gene may code for a specific physical trait, that gene can exist in different forms, or alleles.

Step-by-step explanation:

One allele for every gene in an organism is inherited from each of that organism's parents. ... Alleles produce phenotypes (or physical versions of a trait) that are either dominant or recessive.

Answer:

0 years:  500 $

Step-by-step explanation:

and 6 years: 1350 $

9514 1404 393

Answer:

Step-by-step explanation:

The cost of each plan (y) is the sum of the initial fee and the product of the mileage charge and the number of miles (x).

First Plan: y = 40 +0.13x

Second Plan: y = 53 +0.08x

__

We can find when the costs are the same by solving this system of equations. A way to do that is to subtract the second equation from the first:

  (y) -(y) = (40 +0.13x) -(53 +0.08x)

  0 = -13 +0.05x

Multiplying by 20 gives ...

  0 = -260 +x

Adding 260, we have ...

  x = 260

The plans cost the same for 260 miles of driving.

__

The cost of the plans for that distance is ...

  y = 40 +0.13x = 40 +0.13(260) = 40 +33.80

  y = 73.80

The cost when the two plans cost the same is $73.80.

Answer: B.

Step-by-step explanation:

4x + 8y = 2(4y + 2x)

Answer:

B

Step-by-step explanation:

A. 4 (2x + y)

8x + 4y ( So not this! )

B. 2(4y + 2x)

8y + 4x ( This is right! )

C. 4(2x + 4y)

8x + 16y ( So not this! )

D. 8 (y + 2x)

8y + 16x ( So not this! )

Answer:

I cant see whats the question

Step-by-step explanation:

Answer:

-10, -8, -2, 0, 2

Step-by-step explanation:

hope this helps!

Answer:

Step-by-step explanation:

What you must do for this case first is to find the equation of the line.

We have then that by substituting the values of x = 0 and x = 3 we obtain:

y = 0.2

y = 2.2

Respectively.

So, the line is:

y = 2 / 3x + 1/5

Then, the points that satisfy the inequality are all those of the shaded region.

Answer:

The inequality is:

y ≤ 2 / 3x + 1/5

Answer:

i believe it’s 10.5

Step-by-step explanation: