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DerKrebs [107]
3 years ago
7

Write the next three terms in the pattern. What is each pattern rule?

Mathematics
1 answer:
Lelechka [254]3 years ago
5 0
-70, -100, +20


Step by step explanation: Follow the pattern.
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We can think of the division expression 10 divided by 2 1/2 as the answer to the question “how many groups of 2 1/2 are in 10 an
mrs_skeptik [129]

Answer:

<em>4 Groups</em>

Step-by-step explanation:

2 1/2 can be written as 2.5, and since this is division, all we have to do is divide 10 by 2.5.

10/2.5=4

8 0
2 years ago
Taiga wants to make a circular loop that she can twirl around her body for exercise. He will use a tube that is 2.5 meters long.
Travka [436]

Answer: 0.796 meters

Step-by-step explanation:

Circumference of circle = 2\pi r , where r=radius

Here, Circumference of loop = 2.5 meters

i.e. 2\pi r=2.5

\Rightarrow\ r=\dfrac{2.5}{2\pi}

\Rightarrow\ r=\dfrac{2.5}{2\times\dfrac{22}{7}}\\\\\Rightarrow\ r=\dfrac{2.5\times7}{2\times22}\\\\\Righttarrow\ r=0.398\ m

Diameter = 2r = 2(0.398) = 0.796 meters

Hence, The diameter of Taiga's exercise hoop = 0.796 meters

7 0
3 years ago
Otto invests $1,000 at age 20. Otto wants theinvestment to be worth $4,000 by age 30. Ifinterest is compounded continuously, wha
AveGali [126]
r\approx0.139

1) Since this is a Continuously Compounded operation in a 10 yrs period, then we can write out the following equation:

\begin{gathered} A=Pe^{rt} \\  \end{gathered}

2) Plugging into the equation the given data and since Otto is 20 yrs old and he plans to get $4,000 in ten years, we can write out:

\begin{gathered} 4000=1000e^{\mleft\{10r\mright\}} \\ \frac{4000}{1000}=\frac{1000e^{10r}}{1000} \\ 4=e^{10r} \\ \ln (4)=\ln (e)^{10r} \\ 10r=\ln (4) \\ r=\frac{\ln (4)}{10} \\ r=0.1386 \end{gathered}

3) Thus the rate Otto needs is

r=0.1386\approx0.139

Note that since the 0.1386 the six here is greater than 5 then we can round up to the next thousandth, in this case: 0.139. For the 0.1386 is closer to 0.139 (0.004) than to 0.138 (0.006).

Or 13.9%

8 0
11 months ago
Write a function in terms of t that represents the situation.
Nina [5.8K]
S(t) = S0·(1 + rate)t<span>S(t) = salary at year t
<span>S0 = starting salary = $35,000
</span>rate = 4% = 0.04
<span>t = years</span></span>
6 0
3 years ago
Read 2 more answers
12.
Genrish500 [490]

Answer:

I'm pretty sure the answer is D

4 0
3 years ago
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