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3 years ago

13

Beau can process 36 envelopes for a mailing in 24 minutes. At this rate, how many minutes will it take him to process 120 envelo

pes?

1 answer:

Makovka662 [10]3 years ago

5 0

Idk but my guess would be 80 minutes

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Mr eliot is extremely careful with his money. He recently invested part of his $150,000 life savings in gold bullion and the res

DIA [1.3K]

Answer:

The amount invested in gold bullion by Mr. Eliot = $50,000

Step-by-step explanation:

Total amount of savings Me. Eliot ha s = $150,000

Let us assume the amount invested in gold bullion = $m

So, the amount invested in bank = $150,000 - m

Now, 5% on m = $\frac{5}{100} \times m = 0.05 m$

So, the profit in gold bullion = 0.05 m

and 3% on (150,000 -m) = $\frac{3}{100} \times (150,000 -m) = 0.03 (150,000 -m)$

= 4,500 - 0.03 m

So, the profit in bank = 4,500 - 0.03 m

Now, the total profit = $5,500

⇒Profit from gold bullion + ban = $5,500

⇒0.05 m + 4,500 - 0.03 m = $5,500

or, 0.02 m = 1000

⇒ m = 1000/0.02 = 50,000

Hence, the amount invested in gold bullion = m = $50,000

3 0

3 years ago

Solve equation <br> 0.3 :4=9:y

elixir [45]

Answer:

You should use photomath, it would be more easier for u. Oh, and by the watñy Y=12

3 0

3 years ago

What is 14,000,0000,000 in word form

kvv77 [185]

Huh? there can't be 4 zeroes. but if u mean 140,000,000,000; then it's 140 billion.
it u mean 14,000,000,000; then that's 14 billion.

5 0

3 years ago

Using t=tanx/2, write an expression for sinx and cosx in terms of t.

Dafna11 [192]

Assume 0 < <em>x</em>/2 < <em>π</em>/2. Then

tan²(<em>x</em>/2) + 1 = sec²(<em>x</em>/2) ===> sec(<em>x</em>/2) = √(1 - tan²(<em>x</em>/2))

===> cos(<em>x</em>/2) = 1/√(1 - tan²(<em>x</em>/2))

===> cos(<em>x</em>/2) = 1/√(1 - <em>t</em> ²)

We also know that

sin²(<em>x</em>/2) + cos²(<em>x</em>/2) = 1 ===> sin(<em>x</em>/2) = √(1 - cos²(<em>x</em>/2))

Recall the double angle identities:

cos(<em>x</em>) = 2 cos²(<em>x</em>/2) - 1

sin(<em>x</em>) = 2 sin(<em>x</em>/2) cos(<em>x</em>/2)

Then

cos(<em>x</em>) = 2/(1 - <em>t</em> ²) - 1 = (1 + <em>t</em> ²)/(1 - <em>t</em> ²)

sin(<em>x</em>) = 2 √(1 - 1/(1 - <em>t</em> ²)) / √(1 - <em>t</em> ²) = 2<em>t</em>/(1 - <em>t</em> ²)

7 0

2 years ago

Hi please help me solve this!!!

dezoksy [38]

Answer: I think the answer might be the first option

Step-by-step explanation:

8 0

2 years ago