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spayn [35]
2 years ago
11

Alex borrows $2500 from a bank that has a rate of 5.5% with continuous compounding. How much does he owe after 2 years? Round to

the nearest hundredths.
Mathematics
1 answer:
Vesnalui [34]2 years ago
3 0

Answer:

$5282.70

Step-by-step explanation:

the formula for calculating future value when there is continuous compounding is : A x e^r x N

A= amount e = 2.7182818

N = number of years

r = interest rate

2500x e^0.055 x 2 = 5282.70

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A dog chases a squirrel. The dog is originally 200 feet away from the squirrel. The dog's speed is 150 feet per minute. The squi
Dafna11 [192]

Answer:

15 seconds

Step-by-step explanation:

If you make a table of values for the dog and the squirrel using d = rt, then the rates are easy:  the dog's rate is 150 and the squirrel's is 100.  The t is what we are looking for, so that's our unknown, and the distance is a bit tricky, but let's look at what we know:  the dog is 200 feet behind the squirrel, so when the dog catches up to the squirrel, he has run some distance d plus the 200 feet to catch up.  Since we don't know what d is, we will just call it d!  Now it seems as though we have 2 unknowns which is a problem.  However, if we solve both equations (the one for the dog and the one for the squirrel) for t, we can set them equal to each other.  Here's the dog's equation:

d = rt

d+200 = 150t

And the squirrel's:

d = 100t

If we solve both for t and set them equal to each other we have:

\frac{150}{d+200} =\frac{100}{d}

Now we can cross multiply to solve for d:

150d = 100d + 20,000 and

50d = 20,000

d = 400

But we're not looking for the distance the squirrel traveled before the dog caught it, we are looking for how long it took.  So sub that d value back into one of the equations we have solved for t and do the math:

t=\frac{100}{d}=\frac{100}{400} =\frac{1}{4}

That's 1/4 of a minute which is 15 seconds.

6 0
3 years ago
Read 2 more answers
Suppose f(x) is continuous on [2,8] and −4≤f′(x)≤5 for all x in (2,8). Use the Mean Value Theorem to estimate f(8)−f(2).
bazaltina [42]
<span>2≤x≤8</span> <span>−4≤<span>f′</span>(x)≤5</span> f is continuous in differentable on [2,8] so we know there is c btw 2 and 8 such that <span><span>f′</span>(c)=<span><span>f(8)−f(2)</span><span>/8−2</span></span></span> And we know <span>−4≤<span>f′</span>(c)≤5</span> => we have <span>−4≤ <span><span>f(8)−f(2)</span><span>/8−2</span></span> ≤<span>5</span></span>
6 0
3 years ago
Miguel’s team won the game. What is the negation of this statement?
Pavel [41]

Answer:

answer: "Miguel's team did not win the game".

Step-by-step explanation:

Negation of a statement means if a statement is true then it's negation is false and if a statement is false then it's negation is true.

Here, we are given a true statement "Miguel's team won the game" so it's negation will be a false statement "Miguel's team did not win the game".


6 0
2 years ago
As a fraction in simplest terms, what would you multiply the first number by to get the second?
Leya [2.2K]
It’s 2.148 but u got to simplify
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3 years ago
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PLEASE HELP, I NEED THIS OR I WILL FAIL MY CLASS PLZZZZ. <br> 30 POINTS AND BRANILEST
Eva8 [605]

Answer:

-1

Step-by-step explanation:

8 0
2 years ago
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