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tensa zangetsu [6.8K]
3 years ago
13

An oak tree grows at a rate of 33⁄5 inches per month. How much will the tree grow in 6 1⁄2 months?

Mathematics
2 answers:
nadezda [96]3 years ago
7 0

Answer : The oak tree grows in 6\frac{1}{2}\text{ months} will be, 42.9 inches

Step-by-step explanation :

As we are given that,

The rate of oak tree grows = \frac{33}{5}\text{ inches per month}. Now we have to calculate the height of oak tree in 6\frac{1}{2}\text{ months}=\frac{13}{2}\text{ months}

As per question,

The oak tree grows in 1 month = \frac{33}{5}\text{ inches}

The oak tree grows in \frac{13}{2} months = \frac{33}{5}\text{ inches}\times \frac{13}{2}

                                                      =  42.9 inches

Therefore, the oak tree grows in 6\frac{1}{2}\text{ months} will be, 42.9 inches

Serhud [2]3 years ago
5 0

Answer:

42.9 inch

Step-by-step explanation:

Multiply the amount of inches per month with the amount of months

33/5 x 6.5 = 6.6 x 6.5 = 42.9

42.9 inch is your answer

~

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Find a recurrence relation for the amount of money in a savings account after n years if the interest rate is 6 percent and $50
Korvikt [17]

Answer:

a_n = a_{n-1} (1.06) + 50

Step-by-step explanation:

Suppose, a_0 is initial amount in the saving account,

Here, the annual interest rate is 6% and additional amount in each year is $ 50,

So, the amount after one year,

a_1 = a_0 + 6\%\text{ of }a_0 + 50 = a_0 + 0.06a_0 + 50 = a_0(1.06) + 50

Amount after 2 years,

a_2 = a_1 + 6\%\text{ of }a_1 + 50 = a_1(1.06) + 50

Amount after 3 years,

a_3 = a_2 + 6\%\text{ of }a_2 + 50 = a_2(1.06) + 50

................................., so on....

Hence, by following the pattern,

The amount after n years,

a_n = a_{n-1} (1.06) + 50

Which is the required recurrence relation for the amount of money in a savings account

3 0
4 years ago
NEED HELP HERE ASAP<br><br> 6. Find the cube roots of 27(cos 330° + i sin 330°).
VLD [36.1K]
<span>we have that

the cube roots of 27(cos 330° + i sin 330°) will be
</span>∛[27(cos 330° + i sin 330°)]

we know that
e<span>^(ix)=cos x + isinx
therefore
</span>∛[27(cos 330° + i sin 330°)]------> ∛[27(e^(i330°))]-----> 3∛[(e^(i110°)³)]
3∛[(e^(i110°)³)]--------> 3e^(i110°)-------------> 3[cos 110° + i sin 110°]

z1=3[cos 110° + i sin 110°]

 cube root in complex number, divide angle by 3
360nº/3 = 120nº --> add 120º for z2 angle, again for z3
<span>therefore
</span>
z2=3[cos ((110°+120°) + i sin (110°+120°)]------ > 3[cos 230° + i sin 230°]

z3=3[cos (230°+120°) + i sin (230°+120°)]--------> 3[cos 350° + i sin 350°]
<span>
the answer is 

</span>z1=3[cos 110° + i sin 110°]<span>

</span>z2=3[cos 230° + i sin 230°]

z3=3[cos 350° + i sin 350°]<span>

</span>
7 0
3 years ago
Jackson bought 3 pounds of candies for $9.75.
ElenaW [278]

Answer:

$3.25

Step-by-step explanation:

Since there are three candle, you divide 9.75 by three.

7 0
3 years ago
1: 1/2 km equals to how many metres?
VMariaS [17]
1.
km=kilometers
kilo=1000
1 km=1000meters
so
1/2km= 1/2 times 1000=1000/2=500meters


2. 1/4 km=1000/4=250 meters

3. 1/5 km=1000/5=200 meters

4. 2/5 km=2000/5=400 meters

5. 3/4 km=3000/4=750 meters

6. 1/8 km=1000/8=125 meters
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A card is drawn from a deck of 52 cards. Match the correct fraction with its corresponding probability.
Molodets [167]

1. p=26/52

26/52=.5

50 percent

2. p=29/52

29/52=.56

56 percent

6 0
3 years ago
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