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Darina [25.2K]
3 years ago
8

Shana plans to borrow $1,300 to buy a guitar. One bank is offering a simple interest rate of 5% per year on borrowed amounts. An

other bank is offering a simple interest rate of 4%. Shana plans to repay the loan in 3 years. In dollars, how much can she save by borrowing from the bank with the lower interest rate? Record your answer in the box.
Mathematics
1 answer:
kykrilka [37]3 years ago
3 0

Answer:

5% times 3=15%

4% times 3=12%

15-12=3

1300 times 0.03= $39

39 dollars.

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Suppose you have a light bulb that emits 50 watts of visible light. (Note: This is not the case for a standard 50-watt light bul
natali 33 [55]

Answer:

0.049168726 light-years

Step-by-step explanation:

The apparent brightness of a star is

\bf B=\displaystyle\frac{L}{4\pi d^2}

where

<em>L = luminosity of the star (related to the Sun) </em>

<em>d = distance in ly (light-years) </em>

The luminosity of Alpha Centauri A is 1.519 and its distance is 4.37 ly.

Hence the apparent brightness of  Alpha Centauri A is

\bf B=\displaystyle\frac{1.519}{4\pi (4.37)^2}=0.006329728

According to the inverse square law for light intensity

\bf \displaystyle\frac{I_1}{I_2}=\displaystyle\frac{d_2^2}{d_1^2}

where

\bf I_1= light intensity at distance \bf d_1  

\bf I_2= light intensity at distance \bf d_2  

Let \bf d_2  be the distance we would have to place the 50-watt bulb, then replacing in the formula

\bf \displaystyle\frac{0.006329728}{50}=\displaystyle\frac{d_2^2}{(4.37)^2}\Rightarrow\\\\\Rightarrow d_2^2=\displaystyle\frac{0.006329728*(4.37)^2}{50}\Rightarrow d_2^2=0.002417564\Rightarrow\\\\\Rightarrow d_2=\sqrt{0.002417564}=\boxed{0.049168726\;ly}

Remark: It is worth noticing that Alpha Centauri A, though is the nearest star to the Sun, is not visible to the naked eye.

7 0
3 years ago
Pls Help ASAP..................
AlekseyPX

Answer:

1. 8+(30/(2+4)) = 8+(30/6) = 8+5 = 13

2. ((8+30)/2)+4 = (38/2)+4 = 19+4 = 23

Step-by-step explanation:

:)

4 0
3 years ago
Read 2 more answers
A 400 gallon swimming pool is being drained. After three hours, 250 gallons have been drained. If the rate of drainage continues
Nezavi [6.7K]
If you would like to know how long will it take to drain the pool, you can calculate this using the following steps:

3 hours ... 250 gallons
x hours = ? ... 150 gallons (= 400 - 250)

3 * 150 = 250 * x
x = 3 * 150 / 250 
x = 1.8 hours

3 hours + 1.8 hours = 4.8 hours

The correct result would be B. 4.8 hours.
8 0
3 years ago
Is the answer option d?
Eddi Din [679]

Answer:

D

Step-by-step explanation:

Yes it's D. Answered by Gauthmath

8 0
3 years ago
Which inequality is true? Use the number line to help
Nuetrik [128]

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6 0
3 years ago
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