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Alisiya [41]
3 years ago
15

A meterstick standing vertically casts a shadow 1.5 meters long on the ground. At the same time, a nearby tree casts a shadow 9

meters long on the ground. About how tall is the tree?
Mathematics
1 answer:
Furkat [3]3 years ago
5 0

Answer:

13.5 meters

Step-by-step explanation:

1/1.5 = 9/?\\\\ 1/1.5 = 9/ 13.5 =

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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
1 year ago
Quadrilateral RSTU has vertices R(-6, -3), S(3, 3), and T(4, -1). What are the coordinates of vertex U if
Natasha_Volkova [10]

9514 1404 393

Answer:

  c)  (-5, -7)

Step-by-step explanation:

In a parallelogram, the midpoints of the diagonals are the same point. This means ...

  (R+T)/2 = (S+U)/2

  R +T -S = U

  (-6 +4 -3, -3 -1 -3) = U = (-5, -7)

7 0
3 years ago
Decrease 1440 by 80%
mario62 [17]

Answer:

288 will be ur ans

Step-by-step explanation:

1440 x 80/100

=1152

1440-1152

=288

5 0
3 years ago
WILL GIVE BRAINIEST 100 PIONTS
antiseptic1488 [7]
Liar. This is only worth 5 points!!!!!!!!!!!!!!!!!!!!
4 0
4 years ago
A certain book had an original rating of 27 out of 30 points on a survey chart. Each month, the rating fell by 3 points. Express
Natali [406]

Answer:

D.) f(m)=27−3m

Step-by-step explanation:

Given that:

Original rating = 27

Total possible rating points = 30

Drop in rating point per month = 3

m = number of months since release :

Hence,

F(m) = original rating - drop in rating per month * number of months since release

F(m) = 27 - 3(m)

F(m) = 27 - 3m

7 0
3 years ago
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