summer babysitting. She decided
to put this money in a bank that
earns a 5% simple interest rate.
How many years will it take to
double her initial deposit?
A) 10 years
B) 12 years
C) 15 years
D) 18 years
E) 20 years​

Answer:

[tex]12:20[/tex]

Step-by-step explanation:

Given:

The graph of an exponential function.

To find:

The function in the form of [tex]f(x)=ab^x[/tex].

Solution:

The general form of an exponential function is

[tex]f(x)=ab^x[/tex]                ...(i)

From the given graph it is clear that the function passes through the points (0,4) and (1,7). It means these points will satisfy the function.

For x=0 and f(x)=4,

[tex]4=ab^0[/tex]

[tex]4=a(1)[/tex]

[tex]4=a[/tex]

For x=1 and f(x)=7,

[tex]7=ab^1[/tex]

Putting a=4, we get

[tex]7=4(b)[/tex]

[tex]\dfrac{7}{4}=b[/tex]

Substitute a=4 and [tex]b=\dfrac{7}{4}[/tex] in (i).

[tex]f(x)=4\left(\dfrac{7}{4}\right)^x[/tex]

Therefore, the required exponential function is [tex]f(x)=4\left(\dfrac{7}{4}\right)^x[/tex].

Answer:

1/3

Step-by-step explanation:

4/3=1 1/3

1  2/3 - 1 1/3= 1/3

Hope this helps!

Percent means per 100, so 45% would be 45 out of 100, which written as a fraction would be 45/100

The answer would be C.

Answer: The answer is D.

Step-by-step explanation: The bird decreases its heights by 12 feet which is what the question is asking.

Answer:

yes

Step-by-step explanation:

so i was doing some serching online and i typed what does a function mean and this wat came up an activity or purpose natural to or intended for a person or thing. so as i was thinking this answer fits the description on what i was given from the internet

Answer:

x=0.88

y= -3.7

Step-by-step explanation:

-3.7=6x-9

5.3=6x

0.88=x

Answer:

B

Step-by-step explanation:

5:7

5×2 = 10

7×2 = 14

10:14 = 5:7

Answer:

n=16

Step-by-step explanation:

6n=9246n=924 nn

Write the problem as a mathematical expression.

6n=9246n=924 nn

Cancel the common factor of 99 and 2424.

Factor 33 out of 99.

6n=3(3)246n=3(3)24

Cancel the common

Factor 33 out of 2424.

6n=3⋅33⋅86n=3⋅33⋅8

Cancel the common factor.

6n=3⋅33⋅86n=3⋅33⋅8

Rewrite the expression.

6n=386n=38

Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

6⋅8=n⋅36⋅8=n⋅3

Solve the equation for nn.

Rewrite the equation as n⋅3=6⋅8n⋅3=6⋅8.

n⋅3=6⋅8n⋅3=6⋅8

Multiply 66 by 88.

n⋅3=48n⋅3=48

Divide each term by 33 and simplify.

Divide each term in n⋅3=48n⋅3=48 by 33.

n⋅33=483n⋅33=483

Cancel the common factor of 33.

Cancel the common factor.

n⋅33=48

Answer:

1/4

Step-by-step explanation:

The formula is y2-y1 over x2-x1.

(Remember that or another problem like that)

(3, 4) (-5,2)

x1 y1  x2 y2

We would do: 2-4 over -5-3

2-4=-2

-5-3=-8

Your answer would be: -2/-8, which is simplified to 1/4 because when you divide two negative numbers, you get a positive.

Answer:21m, 5n, 2=1

28m, 4n, 2=2

Step-by-step explanation:

Answer:

Length = 15

Width = 6

Area = 90

Step-by-step explanation:

Area of the rectangle = [tex] {x}^{2} + 3x - 6x - 18[/tex]

Lets factorise the polynomial

[tex] = > x(x + 3) - 6(x + 3)[/tex]

[tex] = > (x + 3)(x - 6)[/tex]

We know that Area = Length × Width

Let the length be (x + 3) & width be (x - 6)

Its given in the question that x = 12. So putting the value of x gives ,

Length = [tex]x + 3 = 12 + 3 = 15[/tex]

Width = [tex]x - 6 = 12 - 6 = 6[/tex]

Area = Length × Width = 15 × 6 = 90

2x-7 = 11

7 goes to the other side

2x=11+7

2x = 18

x=18/2

x=9

7x + 1 = 22

1 goes to the other side

7x=22 - 1

7x=21

x=3

3x - 8 = 22

8 goes to the other side

3x = 22+8

3x=30

x=10

8x+5 = 45

5 goes to the other side

8x=40

x=40/8

x=5

Answer:

x = 7

Step-by-step explanation:

[tex]\frac{10}{8} = \frac{3x-6}{12}[/tex] --> Triangle Similarity Theorem

120 = 8(3x - 6) --> Cross Multiplying

120 = 24x - 48 --> Distributing the 8

24x - 48 + 48 = 120 + 48 --> Adding 48 on both sides

24x = 168 --> Simplifying

24x/24 = 168/24 --> Divide 24 on both sides

x = 7 --> Simplifying

Hope this helped! <3

Answer:

35

Step-by-step explanation:

(7x7=49) (7x2=14)

then you do

49-14= 35

Answer:

2^3x7

your welcome

Answer:

23× 7

Step-by-step explanation:

have a wonderful day!!! :) :)

Answer: p = 1

Step-by-step explanation:

2/5 + p = 4/5 + 3/5p

-2/5        -2/5

      p = 2/5 + 3/5p

-3/5p            -3/5p

2/5p = 2/5

Divide both sides by 2/5

p = 1

Answer:

(x-3)² + (y+5)² = 16

Step-by-step explanation:

Radius will be half of diameter means that radius = r = 8/2 = 4.

With Center (h,k) the equation of circle is

(x-h)² + (y-k)² = r²

so by putting values answer will be

(x-3)² + (y+5)² = 4²

(x-3)² + (y+5)² = 16

well that took alot of guesses...

Answer:

155

Step-by-step explanation:

( 25 x 4 ) + ( 3 x 15 ) + 10 = 155

Simplify the expression.

18x + 7y/6

Answer:

2 days

Step-by-step explanation:

Step one:

let the number of days be x

and the total height be y

​Plant A is 6 cm tall and growing at a rate of 4 cm per day.

the total height is

y=6+4x------------1

Plant B is 10 cm tall and growing at a rate of 2 cm per day.​

y=10+2x-----------2

Required

time taken for both plants to have the same height

Step two:

equate the two equations to find when the plants will have the same height

6+4x=10+2x

collect like terms

4x-2x=10-6

2x= 4

divide both sides by 2

x= 4/2

x= 2 days

Answer:

Step-by-step explanation:

Answer:

1/-14 or 1 over - 14

Step-by-step explanation:

The equation you need is: y2-y1  over x2-x1

So if you plug it in it becomes 2-1 over -17 -(-3) so 2 - 1 is 1 that's the easy part, 17 - (-3) is the hard part because you can't minus a negative. So it becomes -17+3 which is still -14 because you take the sign of the bigger number. Sorry if it's hard to understand :(

Answer:

The GCF is 2²

Step-by-step explanation:

The factored expression would be 2²(4x+3) .

[tex]\sqrt{}4^{3}[/tex]

Answer:

The radical form of the expression  is, 8

Answer:

I'm not entirely sure if this is correct.

Step-by-step explanation:

[tex] \frac{2}{3} = \frac{30}{x} \\ 2x = 3(30) \\ \frac{2x}{2} = \frac{90}{2} \\ x = 45[/tex]