The quotient of 15 and a number is 1 over 3 written as an equation

katen-ka-za [31]

If restaurant rotates $60^{0}$ every 15 minutes, then after one hour it will rotate $60^{0}*4=240^{0}$ .
When restaurant makes full rotation $360^{0}$ , the length will be $2 \pi r=2 \pi *80=160\pi$ . But $240^{0}$ is only $\frac{2}{3}$ from the full rotation, so the bird will pass $160\pi * \frac{2}{3} =335$ ft

Answer: B is a correct choice

8 0

2 years ago

Which circle has a radius that measures 10 units?

ZanzabumX [31]

Answer:

dav d

Step-by-step explanation:

5 0

2 years ago

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Darren invests $4,500 into an account that earns 5% annual interests. How much will be in the account after 10 years if the inte

xz_007 [3.2K]

We have been given that Darren invests $4,500 into an account that earns 5% annual interests. We are asked to find the amount in his account after 10 years, if the interest rate is compounded annually, quarterly, monthly, or daily.

We will use compound interest formula to solve our given problem.

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

A = Final amount,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.

$5\%=\frac{5}{100}=0.05$

When compounded annually, $n=1$ :

$A=4500(1+\frac{0.05}{1})^{1\cdot 10}$

$A=4500(1.05)^{10}$

$A=4500(1.6288946267774414)$

$A=7330.025820498\approx 7330.03$

When compounded quarterly, $n=4$ :

$A=4500(1+\frac{0.05}{4})^{4\cdot 10}$

$A=4500(1.0125)^{40}$

$A=4500(1.6436194634870132)$

$A=7396.28758569\approx 7396.29$

When compounded monthly, $n=12$ :

$A=4500(1+\frac{0.05}{12})^{12\cdot 10}$

$A=4500(1.00416666)^{120}$

$A=4500(1.64700949769)$

$A=7411.542739605\approx 7411.54$

When compounded daily, $n=365$ :

$A=4500(1+\frac{0.05}{365})^{365\cdot 10}$

$A=4500(1.0001369863013699)^{3650}$

$A=4500(1.6486648137656943695)$

$A=7418.9916619456\approx 7419.00$

Since amount earned will be maximum, when interest is compounded daily, therefore, Darren should use compounded daily interest rate.

4 0

2 years ago

The graphs shown are of the form y = ax2. Which graph has the smallest value for a?

Talja [164]

$y= x^{2}$ is a parabola (looks like the letter U).

The letter a represents the coefficient of $x^{2}$ and it controls two things (1) how wide or narrow the parabola is and (2) whether it is concave up (like a U) or concave down (like an up-side-down).

The absolute value of a (the number without the sign) controls how wide or narrow it is. If the absolute value is a fraction less than 1 the graph gets wider. The smaller the absolute value of the fraction the wider the graph gets.

If the absolute value of a is greater than 1 the graph gets narrower (it gets skinnier). The bigger the absolute value the narrower the graph.

So, if all the graphs look like a U (concave up) then the one with the smallest a is the one that is the widest.

The a also controls whether the graph is concave up or concave down. If a is negative

If a is negative the graph is concave down so any graph that is concave down has a smaller value of a than any graph that is concave up. However, if the graph is concave down the one with the smallest a would be the most narrow one.

So to find the one with the smallest a...
If they are all concave up (like a U) pick the widest one
and
If they are not all concave up pick the narrowest one that is concave down (looks like an upside down U)

3 0

2 years ago

Due to renovations at her workplace, Lucía must move from her current office into a temporary office. Her current office is a sq

Oksi-84 [34.3K]

Answer:

A. 2x + 15

Step-by-step explanation:

Current office area:

x*x = x²

Temporary office dimensions:

x + 3 and x - 5

Temporary office area:

(x + 3)(x - 5) = x² - 2x - 15

The difference is:

x² - (x²- 2x - 15) =
x² - x² + 2x + 15 =
2x + 15

Correct choice is A

3 0

2 years ago

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