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harina [27]
3 years ago
9

What is 3y-5=6-4x in standard form

Mathematics
1 answer:
dem82 [27]3 years ago
7 0
3y - 5 = 6 - 4x

Standard Form:
4x + 3y = 11
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Answer:4mph

5mph

Slower

Step-by-step explanation:

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3 years ago
Find the slope of the line that passes through the pair of points (5,-6),(2,-3)​
ss7ja [257]

Answer:

-1is your answer to the question

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If Tanisha has ​$1000 to invest at 7​% per annum compounded semiannually​, how long will it be before she has ​$1600​? If the co
Sphinxa [80]

Answer:

Using continuous interest 6.83 years before she has ​$1600​.

Using continuous compounding, 6.71 years.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.

Continuous compounding:

The amount of money earned after t years in continuous interest is given by:

P(t) = P(0)e^{rt}

In which P(0) is the initial investment and r is the interest rate, as a decimal.

If Tanisha has ​$1000 to invest at 7​% per annum compounded semiannually​, how long will it be before she has ​$1600​?

We have to find t for which A(t) = 1600 when P = 1000, r = 0.07, n = 2

A(t) = P(1 + \frac{r}{n})^{nt}

1600 = 1000(1 + \frac{0.07}{2})^{2t}

(1.035)^{2t} = \frac{1600}{1000}

(1.035)^{2t} = 1.6

\log{1.035)^{2t}} = \log{1.6}

2t\log{1.035} = \log{1.6}

t = \frac{\log{1.6}}{2\log{1.035}}

t = 6.83

Using continuous interest 6.83 years before she has ​$1600​

If the compounding is​ continuous, how long will it​ be?

We have that P(0) = 1000, r = 0.07

Then

P(t) = P(0)e^{rt}

1600 = 1000e^{0.07t}

e^{0.07t} = 1.6

\ln{e^{0.07t}} = \ln{1.6}

0.07t = \ln{1.6}

t = \frac{\ln{1.6}}{0.07}

t = 6.71

Using continuous compounding, 6.71 years.

7 0
3 years ago
An airplane flies at 250 mph. How far will it travel in 5 hours at that rate of speed?
Paul [167]
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4 0
4 years ago
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What is 0.8% of 50?<br> A. 0.04<br> B. 0.4<br> C. 4<br> D. 40
BaLLatris [955]

Answer:

It would be A!

Step-by-step explanation:

.08 times .50 would be 0.04. (It's a quick way to be able to solve problems similar to that! :)

7 0
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