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goldfiish [28.3K]

3 years ago

13

A quantity with an initial value of 270 grows exponentially at a rate of 0.1% every 10 decades. What is the value of the quantit

y after 23 years, to the nearest hundredth

1 answer:

NARA [144]3 years ago

6 0

Answer:

270.06

How to solve:

Write a function:

f(t)=270(1+0.001)^{t/10}

23 years→23/10→2.3 decades

Plug in t=2.3

f(2.3)=270(1+0.001)^{2.3/10}

=270.062076106

≈270.06

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A hot air balloon descends from an altitude of 2,000 feet at a constant rate of 90 feet per minute. The graph shows the altitude

liberstina [14]

Answer:

y=90x+2,000

Step-by-step explanation:

90 is the rate of change because the hot air balloon descends 90 feet per minute.

And 2,000 is the starting point because the hot air balloon started the descent at 2,000 feet.

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3 years ago

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Find the surface area of a right cone with diameter 30 in. and slant height 8 in.Your answerEXTRA CREDIT: Find the surface area

Anon25 [30]

<u>Answer:</u>

Surface area = 1084 in²

<u>Step-by-step explanation:</u>

To find the surface area of a right cone, we can use the following formula:

$\boxed{{Area = \pi r^2 + \pi rl}}$ ,

where:

• r = radius

• l = slant height.

In the question, we are told that the diameter of the cone is 30 in. Therefore its radius is (30 ÷ 2 = ) 15 in. We are also told that its height is 8 in.

Using this information and the formula above, we can calculate the surface area of the cone:

Surface area = $\pi \times (15)^2 + \pi \times 15 \times 8$

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$\approx$ 1084 in²

6 0

1 year ago

Elena surveyed her classmates to see how many like to make jewelry. When she asked 20 of her classmates, 50 percent said they li

nordsb [41]

10 students of Elena's classmates like to make jewellery.

<u>Step-by-step explanation:</u>

Let total no.of classmates who liked the jewellery = x

Here, in the given problem, given she asked her classmates '20'. So, it clearly shows that total number of students/classmates = 20. Also, in that, 50% said like to make jewellery. Now find 'x' as below,

$x = 50 \% \text { of } 20$

$x = \frac{50}{100} \times 20$

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Hence, the total number of classmates who liked to make Jewellery = 10

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3 years ago

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Nonamiya [84]

I believe the correct answer would be B. 88 Degrees, because 92 + 88 = 180. Hope this helped!

-TTL

4 0

2 years ago

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Vector u has its initial point at (-7, 2) and its terminal point at (11, -5). Vector v has a direction opposite that of vector u

salantis [7]

$\bf u\implies 
\begin{cases}
(-7,2)\\
(11,5)
\end{cases}\implies [11-(-7)]~,~[5-2]\implies (11+7)~,~(5-2)
\\\\\\
\stackrel{\textit{component form}}{\ \textless \ 18~,~3\ \textgreater \ }\\\\
-------------------------------\\\\
||u||=\sqrt{18^2+3^2}\implies ||u||=\sqrt{333}\implies ||u||=\sqrt{9\cdot 37}
\\\\\\
||u||=\sqrt{3^2\cdot 37}\implies ||u||=3\sqrt{37}\\\\
-------------------------------$

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\\\\\\
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\\\\\\
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7 0

3 years ago

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