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FromTheMoon [43]
3 years ago
12

Me.Pete is building a rectangular fence around his house.The fence will be 32 feet long and 29 feet wide.What will be the perime

ter of the fence?
Mathematics
1 answer:
Bad White [126]3 years ago
3 0

Answer:

122

Step-by-step explanation:

32+32+29+29=122

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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
Chris wants to order blu-rays over the internet. Each Blu-ray cost $29.99 and shipping for
astra-53 [7]

Answer:

4 blu-rays

Step-by-step explanation:

*Note: I'm rounding up to full dollars to make this easier. You will get the same answer, whether you round up or not.

First, get rid of the shipping cost from the budget.

$150 - $10 = <u>$140 left for blu-rays</u>

Then divide $140 by $30, which is the price for a single blu-ray to get the number of blu-rays Chris can get.

$140 ÷ $30 ≈ 4.6 repeating. You can't have a fraction of a movie, so Chris can get 4 blu-rays

4 0
3 years ago
PLEASE HELP ME
vazorg [7]

Answer:

For the first one, just make sure the sides add up correctly and include the sides it gives. The prism will be 9x1x8 = 82 inches cubed.

Step-by-step explanation:

Insta: lankey.t

6 0
3 years ago
WILL MARK BRINLIEST. Can someone help me wit den two questions?
VLD [36.1K]

Answer:1. B 2. D

Step-by-step explanation:

4 0
3 years ago
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The original price of a blender is $18.00. If the blender is discounted 25%, what is the new price?
Ivanshal [37]

Answer:

$4.50

Step-by-step explanation:

Please give brainliest!!

6 0
3 years ago
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