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2 years ago

11

It took azul 1.75 hours to bike the blue mountain trail. azul averaged 12.5 miles per hour. what is the best estemate for the le

ngth of the trail

1 answer:

stepan [7]2 years ago

8 0

Answer:

21.875 Miles

Step-by-step explanation:

If azul averages 12.5 miles per hour, we can multiply the time it took azul to bike up the mountain trail times the distances per hour

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Dave has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly. How much money w

ioda

Dave will have $12,728 after 15 years, if he has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly.

Step-by-step explanation:

The given is,

Investment = $ 8000

No. of years = 15 years

Interest rate, i = 3.1 %

( compounded monthly )

Step:1

For for calculating future value with compound interest monthly,

$A = P (1 +\frac{r}{n})^{nt}$ .................(1)

Where,

A = Future amount

P = Initial investment

r = Rate of interest

n = Number of compounding in a year

t = Time period

Step:2

From given values,

P = $8000

r = 3.1%

t = 15 years

n = 12 ( for monthly)

Equation (1) becomes,

$A = 8000( 1+\frac{0.031}{12} )^{(12)(15)}$

$= 8000 (1+0.002583)^{180}$

$= 8000(1.002583)^{180}$

$= 8000(1.591059)$

$=12728.48$

A = $ 12728.48

Result:

Dave will have $12,728 after 15 years, if he has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly.

8 0

2 years ago

What is the value of x?

kondaur [170]

Because the angels are equivalent, you can set the expressions equal to each other and solve. You will find that x = 54.

Work shown in image - let me know if I made any errors or if you have any additional questions.

5 0

2 years ago

Read 2 more answers

If a musician uses his credit card to pay for a new violin that costs $2,900 and does not pay on it until the second month, what

OLEGan [10]

Answer:

$97.15.

Step-by-step explanation:

We have been given that a musician uses his credit card to pay for a new violin that costs $2,900 and does not pay on it until the second month. The interest rate of credit card is 3.35% monthly.

We will use interest formula to solve our given problem.

$I=PrT$ , where,

$I=\text{Interest}$ ,

$P=\text{Principal amount}$ ,

$r=\text{Interest rate in decimal form}$ ,

$T=\text{Time}$

Let us convert our given interest rate in decimal form.

$3.35\%=\frac{3.35}{100}=0.0335$

Upon substituting our given values in interest formula we will get,

$I=2,900*0.0335*1$

$I=2,900*0.0335$

$I=97.15$

Therefore, the monthly interest charge at the end of the 1st month will be $97.15.

7 0

2 years ago

Find the length of the leg a of a right triangle with leg length b = 21.5 inches and the hypotenuse c = 31.9 inches. Use a calcu

mylen [45]

The length of the leg a of the right triangle is obtained by applying the Pythagorean theorem which is given as:

$\text{opposite}^2+adjacent^2=hypothenus^2$

Thus, we have that:

$a^2+b^2=c^2$

Given that b = 21.5 inches and c = 31.9 inches, we now have:

$a^2+(21.5)^2=(31.9^2)$ $a^2+462.25=1017.61$ $a^2=1017.61-462.25$ $a^2=555.36$ $\begin{gathered} a=\sqrt[]{555.36}=23.57 \\ \Rightarrow a=23.6\text{ inches (to one decimal place)} \end{gathered}$

Therefore, the length of the leg a of the right triangle is 23.6 inches

4 0

7 months ago

Cards are drawn from a standard 52-card deck until the third club is drawn. After each card is drawn, it is put back in the deck

OLEGan [10]

Answer:

Step-by-step explanation:

Given that cards are drawn from a standard 52-card deck until the third club is drawn.

With replacement:

Drawing 3 club prob = 1/52 and non club = 51/52

a) Hence Prob (3rd club is drawn on the 8th selection)

= P(7 non 3 clubs, and one 3 club)

= $(\frac{51}{52} )^7 (\frac{1}{52})$

b) P(first 7 cards non 3 club) = $(\frac{51}{52} )^7$

With replacement

c) P(7 non 3 clubs and 8th 3club)

= $\frac{51C7 }{52C8}$

d) P(atleast first 7 cards non3 club) =1-P(3 club in the 7th draws )= $1-\frac{51C7 }{52(52C8)}$

4 0

2 years ago