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kirza4 [7]
2 years ago
5

Hans invests $550 at a rate of x% per year compound interest. At the end of 10 years, the value of the investment is $638.30, co

rrect to the nearest cent.
Find the value of x.
Mathematics
1 answer:
cricket20 [7]2 years ago
8 0

Answer:

1.5%.

Step-by-step explanation:

x per cent is written as 0.01x as a decimal fraction.

638.30 = 550(1 + 0.01x)^10

(1 + 0.01x)^10 = 638.30/550

Taking logarithms:

10 ln (1 + 0.01x) = ln ( 638.30/550)

ln (1 + 0.01x) =  ln ( 638.30/550)/ 10

ln(1 + 0.01x) = 0.014889

Converting the logs:-

1 + 0.01x = e^0.014889 = 1.015

0.01x = 1 - 1.015

0.01x = 0.015

x = 0.015/ 0.01

= 1.5.

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if there are 450 campers and 2/3 decides to come back next year how many campers will be coming back next year
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Answer:

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Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A car passes a landmark on a highway traveling at a constant rate of 40 kilometers per hour. Two hours later, a second car passe
Ratling [72]
So first you want to find how much the second car gains on the first car in one hour.

Since the second car travels 65 kph, but the first travels 40, we can just subtract 40 from 65 to find how much faster the second car is than the first.

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So the second car is 25 kph faster than the first.

Since the first car had a 2 hour head start, we first want to calculate how far away the first car got from the sign before the second car reached the sign.

So just 2 hours * 40 kph, which gives you 80 kilometers.

So now we know the second car has to gain 80 km on the first car in order to overtake it.

Since the second car gains 25 km per hour on the first car, we can just divide 80 by 25.

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So the second car will overtake the first car in 3.2 hours, or 192 minutes, which is also 3 hours and 12 minutes.
3 0
3 years ago
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David drives 67.5 miles in 45 minutes. If he drove three hours in total at the same rate, how far did he go?
zepelin [54]

Answer:

270 miles

Step-by-step explanation:

45 minutes = 67.5 miles

1 minute = 67.5 ÷ 45 = 1.5

3 hours = 60 x 3 = 180 minutes

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3 0
3 years ago
The money m (in £) Billy has to spend each week is his wage w (in £) subtract the tax t
Alenkinab [10]

Answer:

Formula : \to \:  \boxed{m  = w - t} \\ he \: can \: spend :  \to \boxed{£108}

Step-by-step explanation:

let \: the  \: money   \: (in \:  £)  \: Billy \:  has  \: to  \: spend  \: be \:  \to \:  \boxed{m} \\ let \: his \: wage  \:  (in \:  £)  \: be \to \:  \boxed{w} \\ let \: the \: tax \:  (in \:  £)  \:  be \:  \to \boxed{t}  \\ then \: the \: required \: formula\: \: is \to \\  \boxed{m =w - t } \\ if \: he \: earns \: £150 \: and \: pays \: £42 \: tax \: :   \: then \: \to \\ m = £150 - £42 \\ m = £108

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8 0
3 years ago
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