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zysi [14]
3 years ago
9

PLZ HELP William’s typical running speed is 6 km/h. The difference between his fastest speed and his typical speed is 1.5 km/h.

The equation f-1.5=6 can be used to represent this problem, where f is William’s fastest speed. What is William’s fastest speed?
Mathematics
2 answers:
Jet001 [13]3 years ago
7 0

Answer:

William's fastest speed is 7.5 km/h

Step-by-step explanation:

Let the fastest speed of William is f therefore from the question's statement the equation will be

f - 6 = 1.5

Here difference between William's fastest speed and typical speed is 1.5 km/h

Now we will add 6 on both sides of the equation

(f - 6) + 6 = 1.5 + 6

f = 7.5 km/h

So the fastest speed is 7.5 km/h

yarga [219]3 years ago
4 0
I might not be right but I think William's fastest speed is 7.5 km/h. 
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4 years ago
A credit card company charges 18.6% percent per year interest. Compute the effective annual rate if they compound, (a) annualy,
Darina [25.2K]

Answer:

a) Effective annual rate: 18.6%

b) Effective annual rate: 20.27%

c) Effective annual rate: 20.43%

d) Effective annual rate: 20.44%

Step-by-step explanation:

The effective annual interest rate, if it is not compounded continuously, is given by the formula

I=C(1+\frac{r}{n})^{nt}-C

where

<em>C = Amount of the credit granted </em>

<em>r = nominal interest per year </em>

<em>n = compounding frequency </em>

<em>t = the length of time the interest is applied. In this case, 1 year. </em>

In the special case the interest rate is compounded continuously, the interest is given by

I=Ce^{rt}-C

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I=C(1+\frac{0.186}{1})-C=C(1.186)-C=C(1.186-1)=C(0.186)

The effective annual rate is 18.6%

(b) Monthly

<em>There are 12 months in a year </em>

I=C(1+\frac{0.186}{12})^{12}-C=C(1.2027)-C=C(0.2027)

The effective annual rate is 20.27%

(c) Daily

<em>There are 365 days in a year </em>

I=C(1+\frac{0.186}{365})^{365}-C=C(1.2043)-C=C(0.2043)

The effective annual rate is 20.43%

(d)  Continuously

I=Ce^{0.186}-C=C(1.2044)-C=C(0.2044)

The effective annual rate is 20.44%

3 0
3 years ago
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