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tia_tia [17]
2 years ago
10

Chelsey put for $450 into an account with a simple interest rate of 2.5% when she withdrew the money she had earned a total of $

67.50 in interest how long did she leave the money in the account
Mathematics
1 answer:
fgiga [73]2 years ago
6 0

Answer:

5.66 years

Step-by-step explanation:

450 x 1.025^(n) = 450 + 67.50

450 x 1.025^(n) = 517.50

1.025^(n) =(517.50 / 450)

1.025^(n) = 1.15

n = ln(1.15) / ln(1.025)

n = 5.66

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Can someone tell me what the answer for this problem is? (and how you are able to get that answer)
exis [7]
\bf y=\cfrac{1}{2}(x-7)(x-7)

now, if you set y  to 0, so you can solve for "x", you'll notice, you'll get 7 twice, you can see it from (x-7) twice there, it has that root twice.

so, when x = 7, y = 0, that's the x-intercept, or so-called a solution or zeros.

now, it happens twice though, so, that simply means, the root of 7 has a multiplicity of 2  and is an even multiplicity, and even number, and when that happens, the graph doesn't really cross the x-axis, it simply bounces off of it.

so the graph goes down down, gets to 7, bounces back up, well, it made a U-turn, that's the vertex, at 7,0 as well.

to find the y-intercept, simply set x = 0, let's do so

\bf y=\cfrac{1}{2}(x-7)(x-7)\implies y=\cfrac{1}{2}(0-7)(0-7)\implies y=\cfrac{1}{2}(-7)(-7)
\\\\\\
y=\cfrac{49}{2}\implies y=24.5

so is at 0, 24.5

the stretch will be the coefficient in front of the function, in this case is 1/2, is stretches in relation to the y-axis by twice as much.
7 0
3 years ago
Can anyone help solve this for me ASAP. Thanks!
Anuta_ua [19.1K]

Answer:

x = 20

y = 26

Step-by-step explanation:

40 and 2x are vertical angles, so they're equal to each other.

40 = 2x

Divide both sides by 2

x = 20

We see that 40 and 5y + 10 are a linear pair, which means they add up to 180.

5y + 10 + 40 = 180

5y + 50 = 180

5y = 130

y = 26

8 0
2 years ago
Robert's dog is 4 years older than Karen's cat. In 3 years, the sum of the ages of Robert's dog and Karen's cat will be 13. How
mylen [45]

Answer:

5.5 years old.

Step-by-step explanation:

Let D represent present age of Robert's dog and C represent present age of Karen's cat.

We have been given that Robert's dog is 4 years older than Karen's cat. We can represent this information in an equation as:

D=C+4...(1)

We are also told that in 3 years, the sum of the ages of Robert's dog and Karen's cat will be 13. After 3 years age of dog and cat would be D+3 and C+3 respectively.

We can represent this information in an equation as:

D+3+C+3=13...(2)

From equation (1), we will get:

C=D-4

Upon substituting this value in equation (2), we will get:

D+3+D-4+3=13

Combine like terms:

2D+2=13

2D+2-2=13-2

2D=11

\frac{2D}{2}=\frac{11}{2}

D=5.5

Therefore, Robert's dog is 5.5 years old right now.

3 0
3 years ago
What is the y-intercept of the function f(x)=-2/9x + 1/3 ?​
lorasvet [3.4K]

Answer:

Approximately 0.333

Step-by-step explanation:

If we graph this we see that the line goes over the y-axis at (0,0.333)

*I use desmos graphing calculator*

6 0
2 years ago
Read 2 more answers
What is the scale factor of ABC to A DEF?
vampirchik [111]

Answer:

6

Step-by-step explanation:

All sides of triangle EFD have x6 of BAC.

E.g.: BA = 2. ED = 2 x 6 = 12

8 0
3 years ago
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