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makvit [3.9K]
2 years ago
6

Greg invested $9,000 in an investment account that earns 4.2% interest compounded monthly.

Mathematics
1 answer:
Ulleksa [173]2 years ago
6 0

Answer:

Step-by-step explanation:

y=a(1+r/c)^{ct}\\ \\ y=9000(1+.042/12)^{12t}\\ \\ y=9000(1.0035)^{12t}\\ \\ a)\ y=9000(1.0035)^{12(10)}=\$ 13687.61\\ \\ b)\ 15400=9000(1.0035)^{12t}\\ \\ 1.0035^{12t}=77/45\\ \\ 12t ln(1.0035)=ln(77/45)\\ \\ t=(ln(77/45))/(12ln(1.0035))\\ \\ t\approx 12.8\ years

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a flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is 19 feet mor
Neporo4naja [7]

Let's assume

shorter side as x

so, first side =2x

third side =x+19

now, we can find perimeter of triangle

perimeter of any triangle is

first side + shortest side + third side

so, we get

P=2x+x+x+19

we are given perimeter=187

so, we can set it to 187

and then solve for x

187=2x+x+x+19

187=4x+19

4x+19-19=187-19

4x=168

x=42

so,

shortest length is x=42 feet

First side =2x=2*42=84feet

third side =x+19=42+19=61 feet

so, dimensions are

first side is 42 feet

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third side is 61 feet................Answer

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3 years ago
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skelet666 [1.2K]

Check the picture below.

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3 years ago
In ∆ABC, AC = 15 centimeters, m B = 68°, and m C = 24°. What is BC to two decimal places?
Ahat [919]

B

C

=

16.17

(

2

d

p

)

c

m

Explanation:

In triangle ABC, side

A

C

=

15

, Angles are

∠

B

=

68

0

;

∠

C

=

24

0

and

∠

A

=

180

−

(

68

+

24

)

=

88

0

We know by sine law

A

C

sin

B

=

B

C

sin

A

or

15

sin

68

=

B

C

sin

88

or

B

C

=

15

⋅

sin

88

sin

68

=

16.17

(

2

d

p

)

c

m

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Geometry pls help thanks
sveta [45]

Answer:

x=30

Step-by-step explanation:

it is an equilateral triangle, so all angles are the same. each angle is 60 degrees. 60/2 is 30, so 30 degrees is the answer.

5 0
2 years ago
Which equivalent fractions can you use to find the sum of 2/8 + 3/9?
sattari [20]
You can you 72 which would make 2/8 18/72 and 3/9 24/72 which makes the sum 42/72.
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