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romanna [79]
3 years ago
9

A person placed $638 in an investment account earning an annual rate of 3.8%, compound continuously using the formula V=Pe^rt, w

here V is the value of the amount in T years, P is the principal initially invested, E is the base of the natural log rhythm, and our is the rate of interest, determine The amount of money, to the nearest cent in the account after 15 years
Mathematics
1 answer:
Alchen [17]3 years ago
8 0

Answer:

Step-by-step explanation:

V=638e^{0.038(15)}\\ \\ V=\$ 1128.15

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15x7x9=15x7x9 is what property
Crazy boy [7]
Symmetric property of an Equality
4 0
3 years ago
ASNWER CORRECTLY AND YOU WILL GET 40 POINTS ALONG WITH BRAINLIEST
murzikaleks [220]

Answer: Angle ABC = 60, angle CBD = 120 and angle GFH = 60

Step-by-step explanation: Line ABD is parallel to line EFG. Line line CFH is a straight line that cuts across both parallel lines. Therefore, angle FBD and angle HFG are corresponding angles. That means angle FBD equals 3x. Also 3x plus 6X equals 180. That is,

3x + 6x = 180 {Sum of angles on a straight line equals 180}

9x = 180

Divide both sides of the equation by 9

x = 20.

That means angle 6x measures 6(20) and that is 120 degrees.

Also angle 3x measures 3(20) and that is 60 degrees.

Angle ABC + Angle CBD = 180 {Sum of angles on a straight line equals 180}

Angle ABC + 120 = 180

Angle ABC = 180 - 120

Angle ABC = 60

Also angle CBD equals 6x, and x = 20. Therefore angle CBD = 6 x 20

Angle CBD = 120.

And then, angle GFH = 3x, and x equals 20. Hence angle GFH = 60.

Therefore angle ABC = 60, angle CBD = 120 and angle GFH = 60.

7 0
3 years ago
Luis bought stock at $66.80. The next day, the price increased $13.85. This new price changed by −2 3 /4 % the following day. Wh
larisa86 [58]
We know that
1) <span>Luis bought stock at ---------------> $66.80
2) </span><span>The next day, the price increased $13.85--------> $66.80+$13.85=$80.65
3) </span><span>This new price changed by −2 3 /4 % the following day
2 3/4%----> (2*4+3)/4----> 11/4 %----> 2.75%
so
(100%-2.75%)-----> 97.25%
t</span><span>he final stock price is $80.65*0.9725-----> $78.43

the answer is 
</span>$78.43<span>

</span>
6 0
3 years ago
Expand and simplify 5(2x+1)-2(3x-6)
BabaBlast [244]

Answer:

4x + 17

Step-by-step explanation:

10x+5-2(3x-6)

10x + 5-6x+12

6 0
3 years ago
What is the area of a rectangle with vertices at (4, 3), (11, 3), (11, 9), and (4, 9)?
Brums [2.3K]

Answer:

The area of a rectangle is 42 units ².

Step-by-step explanation:

As the diagram is given below.

Distance Formula

Distance\ formula = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

As the rectangle with vertices at A (4, 3), B(11, 3),C (11, 9), and D (4, 9).

Take A (4, 3) to B(11, 3)

AB = \sqrt{(11-4)^{2}+(3-3)^{2}}

AB = \sqrt{(7)^{2}+(0)^{2}}

AB = \sqrt{49}

\sqrt{49} =7

AB = 7 units

As take B(11, 3) to C (11, 9).

BC = \sqrt{(11-11)^{2}+(9-3)^{2}}

BC = \sqrt{(0)^{2}+(6)^{2}}

BC = \sqrt{36}

\sqrt{36} =6

BC = 6 units

As take C (11, 9) toD (4, 9).

CD = \sqrt{(4-11)^{2}+(9- 9)^{2}}

CD = \sqrt{(7)^{2}+(0)^{2}}

CD = \sqrt{49}

\sqrt{49} =7

CD =  7 units

As take  D (4, 9) to  A (4, 3)

DA = \sqrt{(4-4)^{2}+(3-9)^{2}}

DA = \sqrt{(0)^{2}+(-6)^{2}}

DA = \sqrt{36}

\sqrt{36} =6

DA =  6 units

Thus

AB = DC= 7 units

AD = BC = 6 units

Formula

Area of rectangle = Length × Breadth

Length = 7 units

Breadth = 6 units

Put value  in the above

Area of rectangle =  7 × 6  

                             = 42 units ²

Therefore the area of a rectangle is 42 units ².

6 0
3 years ago
Read 2 more answers
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