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3 years ago

12

Scott opened a savings account with $5000 and was paid simple interest at an annual rate of 3%. When Scott closed the account, h

e was paid $450 in interest. How long was the account open for, in years?
Thanks.

1 answer:

goblinko [34]3 years ago

3 0

Answer: The account has been open for 3 years.

Step-by-step explanation:

yes

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Find 3 consecutive integets such that the sum of the first two integers is 24 more than the third.

Elina [12.6K]

Answer:

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Step-by-step explanation:

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4 years ago

What are the steps to answer 6x-2=-4x+2

777dan777 [17]

Answer: $x=2/5$ or $x=0.4$

<u>Simplify the equation to the form</u>

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<u></u> $6x+4x=+2+2$ <u></u>

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<u>Simplify left and right side of the equation</u>

<u></u> $10x=+4$ <u></u>

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<u></u> $10x/10=4/10$ <u></u>

<u></u> $x=2/5$ or $x=0.4$

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4 years ago

Read 2 more answers

A population of beetles are growing according to a linear growth model. The initial population (week 0) is P0=9, and the populat

Marat540 [252]

Answer:

y = 4x + 9

week 21

Step-by-step explanation:

first I did 37-9 and got 28 I divide that by 7 ( seven weeks) and got 4 so I know the slope is 4.

so to find how many weeks till 93 I did; 93 = 4x + 9. We have to get x by its self so I minus 9 by both sides and got 84 = 4x. So now we divid both sides by 4 to get x by its self and we end up with 21 = x

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3 years ago

Please help me with these two questions, 10 points for each so in total 20!!

saul85 [17]

Answer:

$\large\boxed{Q2.\qquad C.\ -2x+y=-2}\\\boxed{Q4.\qquad C.\ y=3x+12}$

Step-by-step explanation:

Q2:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (4, 6) and (6, 10). Substitute:

$m=\dfrac{10-6}{6-4}=\dfrac{4}{2}=2$

$y-6=2(x-4)$ <em>use distributive property</em>

$y-6=2x-8$ <em>add 6 to both sides</em>

$y=2x-2$ <em>subteact 2 from both sides</em>

$-2x+y=-2$

Q4:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

Put the slope m = 3 and the coordinateso f the point (-2, 6) to the point-slope form of an equation of a line:

$y-6=3(x-(-2))$

$y-6=3(x+2)$ <em>use distributive property</em>

$y-6=3x+6$ <em>add 6 to both sides</em>

$y=3x+12$

4 0

3 years ago

If ABC=DEF and m <E= 2(m-15)° find m

Lostsunrise [7]

<h3>Answer: m = 25</h3>

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

Work Shown:

Triangle ABC is congruent to triangle DEF. The order of the lettering is important because it tells us how the angles pair up. We see that angle B and angle E are the second letters of ABC and DEF respectively. Because the triangles are congruent, this leads to angle B = angle E.

Angle B is shown to be 20 degrees, so,

angle E = angle B

2(m-15) = 20

m-15 = 20/2

m-15 = 10

m = 10+15

m = 25

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

A slightly alternative way to solve:

2(m-15) = 20

2m-30 = 20

2m = 20+30

2m = 50

m = 50/2

m = 25

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

Checking the answer:

2(m-15) = 20

2(25-15) = 20

2(10) = 20

20 = 20

We get the same thing on both sides, so we end up with a true equation. This means the first equation is true when m = 25. The solution has been confirmed.

3 0

3 years ago