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aliya0001 [1]
3 years ago
9

It took 5 hours to drive to Durham to Birmingham. The average speed was 48mph. What was the distance from Durham to Birmingham?

Mathematics
1 answer:
Georgia [21]3 years ago
7 0
The distance between Durham to Birmingham is 240 miles
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Jamie invests $1,200 in an account that earns 3% interest. Assuming continuous compounding, how much is in his account after 7 y
goblinko [34]

Answer:

The amount in account after 7 years of investment is $1478.4

Step-by-step explanation:

Given as :

The principal invested in account by Jamie = p = $1200

The rate of interest = r = 3% compounded annually

The Time period of investment = t=  7 years

Let The Amount in Jamie account = $ A

<u>For continuous compounding</u>

Amount = Principal × e^{r \times time}

Or, A = p × e^{r \times time}

Or, A = $1200 × e^{0.03 \times 7}

Or, A = $1200 × 2.71^{0.03 \times 7}

Or, A = $1200 × 1.232

∴  A = $1478.4

So, The amount after continuous compounding = A = $1478.4

Hence , The amount in account after 7 years of investment is $1478.4    Answer

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4 years ago
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Vesnalui [34]
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4 0
3 years ago
A triangle ABC is inscribed in the circle, (ABC = 65° and AB=AC. Find (BDC.
podryga [215]

Answer:

∠BDC=50°

Step-by-step explanation:

∠BDC=∠A[angles at the same segment)

∠A= 180-(65+65)=180-130= 50°

so, ∠BDC=50°

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3 years ago
The sum of two consecutive whole numbers<br> is 35. What are the two numbers?
DaniilM [7]

Answer:

1st number = 17

2nd number = 18

Step-by-step explanation:

Unknown number = x

Since they are consecutive numbers, we add 1 to each other.

=> x + x + 1 = 35

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=> 2x + 1 - 1 = 35 - 1

=> 2x = 34

=> 2x/2 = 34/2

=> x = 17

So, the first number = x = 17

=> Second number = x + 1 = 17 + 1 = 18

1st number = 17

2nd number = 18

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