I need help I don't understand​

Using an exponential equation, supposing a rate of 5%, it is found that it will take about 2.9 years for Emma's balance to reach $450.

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

In this problem:

Then:

[tex]A(t) = A(0)(1 + r)^t[/tex]

[tex]A(t) = 300(1 + 0.15)^t[/tex]

[tex]A(t) = 300(1.15)^t[/tex]

It will reach $450 after t years, for which A(t) = 450, hence:

[tex]A(t) = 300(1.15)^t[/tex]

[tex]450 = 300(1.15)^t[/tex]

[tex]1.15^t = \frac{450}{300}[/tex]

[tex]1.15^t = 1.5[/tex]

[tex]\log{(1.15)^t} = \log{1.5}[/tex]

[tex]t\log{1.15} = \log{1.5}[/tex]

[tex]t = \frac{\log{1.5}}{\log{1.15}}[/tex]

[tex]t = 2.9[/tex]

It will take about 2.9 years for Emma's balance to reach $450.

A similar problem is given at https://brainly.com/question/14773454

Answer:

It will take about 2.9 years for Emma’s balance to reach $450.

Answer:

$14.24

Step-by-step explanation:

Answer:

m - 46 = 54

Step-by-step explanation:

46 less than m is 54,

→ m - 46 = 54

Let's solve this equation,

→ m - 46 = 54

→ m = 54 + 46

→ [ m = 100 ]

So, the answer is 100.

Answer:

(1) x=5 (2) I think the answer to 16 is 3/5 but not 100% sure

Step-by-step explanation:

(1) 29=5x+4

Step 1: Flip the equation.

5x+4=29

Step 2: Subtract 4 from both sides.

5x+4−4=29−4

5x=25

Step 3: Divide both sides by 5.

5x /5 =  25 /5

x=5

Answer: 3z+6

Step-by-step explanation:

(3) (z+2)

(3) (z)+(3) (2)

3z+6

Answer:

i think the answer is Devonte's  store because you get 14 shirt for $56

Step-by-step explanation:

Pharaoh's good it's not too expensive but you only get 3 shirts , Diego's is too expensive even if you get 16 shirts it's for $96

Answer:

Step-by-step explanation:

it  is aas triangle

Answer:

Option C

Step-by-step explanation:

[tex]\frac{(2x^3y^2z)^2(-3xyz^2)^2}{18x^6y^7z^3} =[/tex]

[tex]\frac{(4x^6y^4z^2)(9x^2y^2z^4)}{18x^6y^7z^3} =[/tex]

[tex]\frac{36x^8y^6z^6}{18x^6y^7z^3} =[/tex]

[tex]\frac{2x^2z^3}{y}[/tex]

Answer:

 10 1/4

Step-by-step explanation:

Answer:

$ 50.00

Step-by-step explanation:

Hope this helps!

Answer:

I already answered this for someone, but what you want to do is combine/cancel out like terms. So cancel out x on 2+7x/x to get 2+7/1. The first step in solving most rational equations is combining/canceling like terms, so follow through with that here.

Answer:

7/n would be a algebraic express

Step-by-step explanation:

Answer:

35 is already in the simplest form. It can be written as 0.6 in decimal form (rounded to 6 decimal places).

...

Reduce 3/5 to lowest terms

Find the GCD (or HCF) of numerator and denominator. GCD of 3 and 5 is 1.

3 ÷ 15 ÷ 1.

Reduced fraction: 35. Therefore, 3/5 simplified to lowest terms is 3/

Step-by-step explanation:

Answer:

Mark: 54

Trevor: 765

Step-by-step explanation:

For each, you multiply the amount, time period, and the percentage.

(make sure to turn the percentage to a decimal)

I’m so sorry If my answer is wrong

Answer:

-4

Step-by-step explanation:

32÷(-8)=-32÷8

           =-4

Answer:

The next day they will both run on the path is July 27th.

We can find this by making columns writing every date and seeing when they intersect.

4                    5

8                   10

12                  15

16                 20

20

We can then add this to the current date to find the date they will next run together.

Step-by-step explanation:

hope this helps. . . <3

good luck!      UwU

Answer:

The greatest common factor of 4k, 18k4, and 12 is 2.

Answer A 2

Hope this helps

Answer:

Step-by-step explanation:

Length = x

width = x - 7

height = x - 10

volume = 600 in^3

Volume = L * w * h

600 = x * (x - 7)*(x - 10)

600 = x * (x^2 - 17x + 70)

600 = x^3 - 17x^2 + 70x

x^3 - 17x^2 + 70x - 600 = 0

There is a genius somewhere that could solve this using algebra. The rest of us have 2 choices. We can graph it (see below) or we could use a program that solves it for us. I'll do both for you.

a = 1

b  = - 17

c = 70

d = - 600

There is only 1 real solution: x = 15

L = 15

w = 8

h = 5

That has to be one of the ugliest graphs made. It does into the hundreds of thousands and it still looks like a straight line. Trust me. It's not.

Answer:

A. 49

Step-by-step explanation:

ratio of houses is 3 new to 7 old

21 new is 7 times more than 3, so 7 will also be 7 times more

so, 21 to 49

I hope that made sense

Answer:

x ≥ 1

Step-by-step explanation:

→ As it is a shaded circle you know it ≤ or ≥

x ≥ 1

Answer:

  (c)  y = −1/3x −2

Step-by-step explanation:

We notice two things in the table.

__

The slope of the line is ...

  m = (change in y)/(change in x) = +1/-3 = -1/3

Then the slope-intercept equation is ...

  y = mx +b . . . . . . slope m, y-intercept b

  y = -1/3x -2

Answer is C

Step-by-step explanation:

math

Answer:

Step-by-step explanation:

[tex]\sqrt{\frac{7}{8} } = \sqrt{\frac{7}{8}*\frac{8}{8}[/tex]

= sqrt(56)/8

Answer:

  (√14)/4

Step-by-step explanation:

You can "rationalize the denominator" after you take the root, or you can make the denominator a perfect square before you take the root.

  [tex]\sqrt{\dfrac{7}{8}}=\dfrac{\sqrt{7}}{2\sqrt{2}}=\dfrac{\sqrt{7}}{2\sqrt{2}}\cdot\dfrac{\sqrt{2}}{\sqrt{2}}=\dfrac{\sqrt{14}}{4}\\\\\sqrt{\dfrac{7}{8}}=\sqrt{\dfrac{7}{8}\cdot\dfrac{2}{2}}=\sqrt{\dfrac{14}{16}}=\dfrac{\sqrt{14}}{4}[/tex]

Answer:

width of 3 units

Step-by-step explanation:

let 'w' = width

let '4+5w' = length

P = 2l + 2w

44 = 2(4+5w) + 2w

44 = 8 + 10w + 2w

36 = 12w

w = 36/12

w = 3

Answer:

[tex]f(x)=-11\times(7^x^-^1)[/tex]

Step-by-step explanation:

Stare at the numbers. Especially the first two. First one is -11. Second is [tex]-11\times 7[/tex]. Let's guess you keep multiplying. [tex]-77\times 7=-539[/tex]. Smells correct, let's confirm with the last one: [tex]-539\times7 = -3773[/tex]. I think we found a pattern. Each element is 7 times the previous one. With some practice you can just write the function, else let's divide by -11 away and let's see what we get:

[tex]f(1) = 1=7^0; f(2)=7; f(3)=7^2; f(4)=7^3[/tex]. Basically, the exponent is 1 less than the value we're evaluating the function. That leads tho the following

[tex]f(x)=-11\times(7^x^-^1)[/tex]

Answer:

Step-by-step explanation:

seventeen cus it is :)

Answer:

John rented the jet ski for 5 hours

Step-by-step explanation:

Step 1- Subtract $75 from $199.95 and you should end up with $124.95

Step 2- Divide $124.95 by $24.99 and you should end up with 5

Step 3- John rented the jet ski for 5 hours

Answer:

John rented the jet ski for 5 hours.

Step-by-step explanation:

Take the total cost: $199.95, and subtract $75 because that was included in the cost. You get 124.95. Next you divide $24.99 by 124.95, because $24.99 was the amount he paid per hour, and $124.95 is the amount that he paid in total for all the hours that he jet skied, and you get 5 hours.

Answer:

A = positive  

B = positive, negative

C = negative

D = positive, negative

Answer:

A Positive coordinates (5,5)    B Negative and Positive coordinates (-5,5)  C Negative coordinates (-5,-5)  D Negative and Positive coordinates (5,-5)

Step-by-step explanation:

Pls mark brianlist hope this helps .