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Nastasia [14]
3 years ago
10

Find octal expansion of (B5D)16.

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
5 0

b5d₁₆ = 11×16² + 5×16¹ + 13×16⁰

… = 11×(2×8)² + 5×(2×8)¹ + 13×(2×8)⁰

… = 11×4×8² + 5×2×8¹ + 13×8⁰

… = 44×8² + 10×8¹ + 13×8⁰

… = (40 + 4)×8² + (8 + 2)×8¹ + (8 + 5)×8⁰

… = (5×8 + 4)×8² + (1×8 + 2)×8¹ + (1×8 + 5)×8⁰

… = 5×8³ + 4×8² + 1×8² + 2×8¹ + 1×8¹ + 5×8⁰

… = 5×8³ + 5×8² + 3×8¹ + 5×8⁰

… = 5535₈

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You have $55,000 in your savings account that pays 2.5% annual interest and the inflation rate is 3.4%. how much buying power in
lianna [129]
Your interest formula is given to you. 

<span>Interest in a year = principal (the amount invested) * rate (the interest rate) * period (the time you're measuring) </span>

<span>Interest = 55,000 * 2% * 1 year = 55,000 * 0.02 * 1 = $1,100 </span>

<span>How much would you need to have made for your spending power to keep with inflation? Your interest rate would have needed to match the inflation rate, otherwise, prices are going up faster than you're saving. </span>

<span>Required interest = 55,000 * 3.24% * 1 year = 55,000 * 0.0324 * 1 = $1,782 </span>

<span>How much buying power did you lose? The difference between your required interest and your actual interest. </span>
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6 0
3 years ago
Read 2 more answers
You are standing 6 feet away from the stage and your friend is standing 7 feet away from the stage. You are standing on a platfo
coldgirl [10]

Answer:

<em> The distance from your eyes to the stage is 8.85 ft</em>

Step-by-step explanation:

Your distance to the stage is 6 feet

Your eyes are 6.5 feet tall

You need to find the distance of your eyes towards the stage.

This situation can be modeled using a rectangle triangle, where the adjacent side x is the horizontal distance to the stage and the opposite side h is the vertical distance of your eyes to the stage.

<u>Observe the attached image.</u>

Then, we look for the distance z from your eyes to the stage. This distance is the hypotenuse of the right triangle.

So, using the Pythagorean theorem we have:

z ^ 2 = h ^ 2 + x ^ 2\\\\z = \sqrt{h^2 +x^2}

Where

h = 6.5\ ft\\\\x = 6\ ft

therefore:

z = \sqrt{(6.5)^2 +(6)^2}\\\\z =8.85\ ft

4 0
3 years ago
Complete the equation of the line through (-8,-2) and (-4,6).<br> use exact numbers.<br> y= ?
Travka [436]

Answer:hey

Step-by-step explanation:

3 0
3 years ago
The sticker has a base of 6.5cm and a height of 10.1. What is the area of the sticker?
coldgirl [10]

Answer:

65.65

Step-by-step explanation:

1) Carry over the decimals in each number.

2) Multiply. This will give you 6,565.

3) Carry the decimal place and count how many times you moved it over. (2=1+1) Therefore, it gives you 65.65

I hope this helped

4 0
3 years ago
Hey can you please help me posted picture of question
shepuryov [24]
The correct answer is option C.

The solution is shown below:

(8 - 3i)(6 + 5i)

= 8(6 +5i) - 3i(6 + 5i)

= 48 + 40i - 18i - 15i²

= 22i + 48 - 15(-1)

= 22i + 48 + 15

= 22i + 63

= 63 + 22i
6 0
3 years ago
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