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Natasha_Volkova [10]
3 years ago
9

Leela invests $500 at 4.5% interest according to the equation mc018-1.jpg, where Vl is the value of the account after t years. A

dele invests the same amount of money at the same interest rate, but begins investing two years earlier according to the equation mc018-2.jpg. The total value of Adele’s account is approximately what percent of the total value of Leela’s account at any time, t?
Mathematics
1 answer:
Karolina [17]3 years ago
8 0
ΔThe Answer to your question is D).<span>109.2%</span>Δ
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Evaluate the expression if a = -1 and b = 1/2.<br> 3+a/2 - 6b
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nasty-shy [4]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
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Manav is painting a rectangular room and the dimensions of this room are given by x,y and z feet. Manav takes 8 hours to paint a
zhenek [66]

Answer:

B) 36 cubic feet

Step-by-step explanation:

Dimensions of the room are x, y and z feet. It is given that x = 6 feet.

Manav took 8 hours to paint the wall with dimensions x and z.

This means, in 8 hours Manav painted area = xz = 6z

In 1 hour Manav painted area = \frac{6z}{8}

Manav took 4 hours to paint the wall with dimensions y and z.

This means, in 4 hours Manav painted area = yz

In 1 hour Manav painted area = \frac{yz}{4}

Manav took 12 hours to paint the ceiling with dimensions x and y.

This means, in 12 hours Manav painted area = xy = 6y

In 1 hour Manav painted the area = \frac{6y}{12}=\frac{y}{2}

Since, Manav works at constant rate, this means the worked done in 1 hour in all 3 cases would be the same. So we can write:

\frac{6z}{8}=\frac{yz}{4}=\frac{y}{2}

Using the first two equations, we get:

\frac{6z}{8}=\frac{yz}{4}\\\\ \frac{6}{8}=\frac{y}{4}\\\\ y=\frac{6}{8} \times 4\\\\ y = 3

Using the last two equations, we get:

\frac{yz}{4}=\frac{y}{2}\\\\ \frac{z}{4}=\frac{1}{2}\\\\z=2

So, we have the follwoing dimensions of the room:

x = 6 feet

y = 3 feet

z = 2 feet

So the volume of the room is =  6 x 3 x 2 = 36 cubic feet

7 0
3 years ago
Given: RS and TV bisect each other at point X. TR and SV are drawn Prove: TR || SV
TiliK225 [7]

Answer with Step-by-step explanation:

We are given that

RS and TV bisect each other at point X.

VX=XT

SX=XR

We have to prove that TR is parallel to SV.

In triangle TXR and VXS

VX=XT

Reason: Given

SX=XR

Reason: Given

\angle TXR=\angle VXS

Reason: Vertical opposite angles

\triangle TXR\cong \triangle VXS

Reason:SAS Postulate

\angle TRX=\angle VSX

Reason: CPCT

TR\parallel SV

Reason: Converse of alternate interior angles theorem

Hence, proved.

3 0
3 years ago
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