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ArbitrLikvidat [17]
3 years ago
12

Joseph borrows $10000 from his sister Katie at an annual interest rate of 10%. If the

Mathematics
1 answer:
earnstyle [38]3 years ago
8 0

Answer:

A  =  P  ( 1  + r / n)  ^( t * n)

where

A  =  the amt  owed

P  = amt borrowed

r  = the  interest  rate  as a decimal

n =  the  number of compoundings  per year

t  = the  number of years

A  =    10000  (  1  + .10  / 2)^(2 *1)    =   10000  ( 1.05)^2    =  $11025

Step-by-step explanation:

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The third one is negative im pretty sure
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3 years ago
Benjamin is trying to find the height of a radio antenna on the roof of a local building.
xz_007 [3.2K]

The height of the antenna on the roof of the local building is approximately 8 meters.

The situation forms a right angle triangle.

<h3>Properties of a right angle triangle:</h3>
  • One of its angles is equals to 90 degrees
  • The sides of the triangles can be calculated using Pythagoras theorem.

Therefore, let's find the height of the building and the radio antenna from the eye point.

Using trigonometric ratios,

tan 40° = opposite / adjacent

tan 40° = x / 25

where

x = the height of the building and the radio antenna from the eye point.

x = 25 tan 40

x = 25 × 0.83909963117

x = 20.9774907794 meters

Let's find the height of the building from his eye point.

tan 28° = y / 25

where

y = height of the building from his eye point

y = 25 × tan 28°

y = 25 × 0.53170943166

y = 13.2927357915 meters

Height of the antenna = 20.9774907794 - 13.2927357915 = 7.68475498786

Height of the antenna ≈ 8 meters

learn more on elevation here: brainly.com/question/17582385?referrer=searchResults

8 0
3 years ago
Assignment
KengaRu [80]

Answer:

Total Price = 1.07(0.65x)= 0.6955x.

Step-by-step explanation:

The discount percentage is, <em>d</em>% = 35%.

The sales tax percentage is, <em>s</em>% = 7%.

The variable <em>x</em> represent the original cost of the item(s).

The discount is subtracted from the original amount.

So, the discounted amount will be, 0.65x.

And the sales tax is added to the original amount.

So, the value of tax plus price will be, 1.07x.

Then the final price of the item(s) will be:

Total Price = 1.07(0.65x)= 0.6955x.

7 0
3 years ago
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Formula

\begin{gathered} Z=\text{ }\frac{x-\mu}{\sigma} \\ \text{Where} \\ Z=standardscore \\ x=observedvalue \\ \mu=meanofthesample \\ \sigma=standarddeviationofthesample \\ Z=\text{ }\frac{3.5-4}{1.6} \\ Z=-0.3125 \\  \\  \\ Z=\text{ }\frac{5.5-4}{1.6} \\ Z=0.9375 \end{gathered}

Z=standard score

x=observed value

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standard deviation of the sample

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6. The measures of two acute angles always add to more than 90 degrees.
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I dont think so because an acute angle is always lower than 90 so .. i dnt think even two will add up more than 90
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