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Alik [6]
3 years ago
13

Aidan has $7565 in his checking account. He invests it in an account that earns 3.5% interest compounded continuously. What is t

he total amount of his investment after 3 years? Round your answer to the nearest hundredth. Enter your answer as the example: $1234.56
Mathematics
1 answer:
Fudgin [204]3 years ago
7 0
Total amount = Pe^(rt)
where
P=principal
e=2.7182818284...
r=0.035
t=3 (years)

Total amount
= 7565(e^(0.035*3)
=$ 8402.53
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A large polar bear may weigh 1600 pounds.What fractional part of a ton is 1600 pounds?
Alenkinab [10]
A ton is 2000 lbs. If a polar bear is 1600 lbs then the fractional part of a ton would be...

1600/2000 which will reduce to

16/20 = 4/5
8 0
3 years ago
Read 2 more answers
Write the equation of a line passing through (6,-2) and perpendicular to -2x + 3y= -6
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Perpendicular lines refers to a pair of straight lines that intercept each other. The slopes of this lines are opposite reciprocal, meaning that it's multiplication is -1.
On this case they give you the equation of a line and a point, and is asked to find the equation of a line that is perpendicular to the given one, and that passes through this point.


-2x+3y=-6                 Add 2x in both sides
3y=2x-6                    Divide by 3 in both sides to isolate y
y=2/3x-6/3


The slope of the given line is 2/3, which means that the slope of a line perpendicular to this one, needs to be -3/2. Now you need to find the value of b or the y-intercept by substituting the given point into the formula y=mx+b, where letter m represents the slope.

y=mx+b                 Substitute the given point and the previous slope found
-2=(-3/2)(6)+b       Combine like terms
-2=-9+b                 Add 9 in both sides to isolate b
7=b

The equation that represents the line perpendicular to -2x+3y=-6 and that passes through the point (6,-2), is y=-3/2x+7.


4 0
4 years ago
If -7.6(x - 1) = 7.3 - 7.4x, find the value of -2x.
Marat540 [252]

Answer:

-3

Step-by-step explanation:

Step 1: Write equation

-7.6(x - 1) = 7.3 - 7.4x

Step 2: Solve for <em>x</em>

<u>Distribute -7.6:</u> -7.6x + 7.6 = 7.3 - 7.4x

<u>Add 7.6x on both sides:</u> 7.6 = 7.3 + 0.2x

<u>Subtract 7.3 on both sides:</u> 0.3 = 0.2x

<u>Divide both sides by 0.2:</u> x = 1.5

Step 3: Find <em>-2x</em>

-2(1.5) = -3

5 0
4 years ago
Read 2 more answers
Which equation in point-slope form contains the points (6, 2) and (2, 4)? A -4=-1/2(x-6) B y – 4 = –2(x – 2) C y-2=-1/2(x-6)
nlexa [21]
Hello!

The equation for point-slope form is 

y - b = m(x - a)

m is the slope
(a, b) is a point the line passes through

We are looking for a equation that follows this

The answer is C because a point the line goes through is (6, 2)

The answer is C

Hope this helps!
5 0
3 years ago
Read 2 more answers
In triangles GHI and RST, ∠G ≅ ∠R, ∠H ≅ ∠S, and segment GI ≅ segment RT. Is this information sufficient to prove triangles GHI a
user100 [1]

The given information is not sufficient to prove ΔGHI and ΔRST are congruent through SSS congruence.

<h3>What is SSS congruence of triangles?</h3>

As per the SSS congruence of a triangle, if all the three sides of a triangle are equal to the all the three corresponding sides of another triangle, then the two triangles are congruent triangle.

Since one side and two angles of the triangle are given, the triangles can not be proved to be congruent as per the SSS congruence of triangles. Hence, the given information is not sufficient to prove ΔGHI and ΔRST are congruent through SSS congruence.

Learn more about SSS Congruence:

brainly.com/question/535562

#SPJ1

3 0
3 years ago
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