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aliina [53]
4 years ago
5

Multiply the following fractions. give the final answer in simplest terms. 4/7 x 5/12=

Mathematics
1 answer:
brilliants [131]4 years ago
3 0

4/7 * 5/12

...multiply straight across...

20/84

...simplify by dividing by 2/2

10/42

...simplify again

5/21; there you go

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PLEASE DONT WASTE MY POINTS ITS THE 5TH TIME POSTING
emmasim [6.3K]

Given:

Initial cost of living = $44,000

Rate of increase = 5% = 0.05

To find:

The cost of living in 20 years.

Solution:

The exponential growth model is:

y=a(1+r)^t

Where, a is the initial value, r is the growth rate and t is the number of years.

Putting a=44000,r=0.05, t=20 in the above model, we get

y=44000(1+0.05)^{20}

y=44000(1.05)^{20}

y=116745.099026


y\approx 116745.10


Therefore, the cost of living in 20 years is about $116745.10.

5 0
3 years ago
If 5x + 3 = 38, what is the value of x?
forsale [732]

Answer:

x=7

Step-by-step explanation:

5x=35

x=7

6 0
3 years ago
Read 2 more answers
Match the reasons with the statements in the proof to prove that triangle AXC is congruent to triangle BXC, given that angles 3
castortr0y [4]

Answer:

The reasons are given below.

Step-by-step explanation:

In triangle ΔAXC and ΔBXC, we are given that angles 3 and 4 are right angles and AX = BX. we have to match the reasons in the given proof of congruency of triangles △AXC ≅ △BXC

In ΔAXC and ΔBXC,

AX=BX               (Given)

∠3 = ∠4 = 90°    (both right angles)

CX=CX           (Common i.e reflexive property of equality)

Hence by SAS similarity theorem  ΔAXC ≅ ΔBXC

hence, the above are the reasons of the statements in given proof.


5 0
3 years ago
Read 2 more answers
The total charge that has entered a circuit element is q(t) = 6 (1 - e-7t) when t ≥ 0 and q(t) = 0 when t < 0. The current in
Bess [88]

Answer:

A=42, B=-7

Step-by-step explanation:

The current function of time is defined as follows:

I(t)=\frac{dq(t)}{dt}

where q(t) is the charge function.

For the given charge function of time q(t)=6\left( 1-e^{-7t}\right) we have the following current function:

I(t)=\frac{d}{dt} \left(6\left( 1-e^{-7t}\right)\right)=42e^{-7t}

In the problem it is proposed that I(t)=Be^{-At}.

Examining the expression of I(t) we obtained by deriving q(t) with the expression proposed by the problem and comparing term by term:

I(t)=Be^{-At}=42e^{-7t}

We conclude that A=-7 and B=42.

4 0
3 years ago
Explain why a 75% discount followed by an additional 25% discount is not the
Lubov Fominskaja [6]

Answer:

Because you first take 75% off of the first price then 25% off the discounted price

Example:

Lets say you have a item that cost $50 and you use a 75% discount card that will make the item $37.5. The you add an additional 25% off which will equal $9.38.

5 0
3 years ago
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