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nevsk [136]
2 years ago
11

Akira Chang's uncle dies without a will, leaving an estate of $945,000. His heirs consist of a wife and two adult children. His

state requires that, in the absence of a will, each child is to receive two-thirds as much as a spouse. How much will his wife receive?
Mathematics
1 answer:
OLEGan [10]2 years ago
5 0
Let w represent the amount the wife receives.
.. w +2*(2/3*w) = 945,000
.. 7/3w = 945,000
.. w = (3/7)*945,000 = 405,000

The wife will receive $405,000.
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Convert the angle \theta=\dfrac{29\pi}{15}θ= 15 29π ​ theta, equals, start fraction, 29, pi, divided by, 15, end fraction radian
iren [92.7K]

Answer:

348 degrees

Step-by-step explanation:

29 pi /15  to degrees

To change from radians to degrees, multiply by 180/pi

29 pi /15 * 180/pi

29 * 180/15

348

8 0
2 years ago
Jane wishes to bake an apple pie for dessert. The baking instructions say that she should bake the pie in an oven at a constant
pychu [463]

Answer:

A=152

K= -Ln(0.5)/14

Step-by-step explanation:

You can obtain two equations with the given information:

T(14 minutes) = 114◦C

T(28 minutes)=152◦C

Therefore, you have to replace t=14, T=114 and t=28, T=152 in the given equation:

114=190-Ae^{-14k} (I) \\152=190-Ae^{-28k}(II)

Applying the following property of exponentials numbers in (II):

e^{a}.e^{b}=e^{a+b}

Therefore e^{-28k} can be written as e^{-14k}.e^{-14k}

152=190-Ae^{-14k}.e^{14k}

Replacing (I) in the previous equation:

152=190-76e^{-14k}

Solving for k:

Subtracting 190 both sides, dividing by -76:

0.5=e^{-14k}

Applying the base e logarithm both sides:

Ln(0.5)= -14k

Dividing by -14:

k= -Ln(0.5)/14

Replacing k in (I) and solving for A:

Ae^{-14(-Ln(0.5)/14)}=76\\Ae^{Ln(0.5)} =76\\A(0.5)=76

Dividing by 0.5

A=152

7 0
2 years ago
A cake manufacturer boxes Swiss chocolate and German chocolate cakes at one site. A box of Swiss chocolate cake contains 0.55 lb
Kobotan [32]

Answer:

2,500 German chocolate cake boxes.

1,500 Swiss chocolate cake boxes.

Step-by-step explanation:

Let 'S' be the number of Swiss chocolate cakes boxed and 'G' the number of German cholocate cakes boxed. If all of the available ingredients are used:

0.55*S +0.59*G = 2,300\\0.45*S+0.41*G = 1,700

Solving the linear system above:

(0.55 *S +0.59*G)- \frac{0.55}{0.45} (0.45*S+0.41*G)= 2,300-\frac{0.55}{0.45}*1,700*\\0.088888*G = 222.222\\G=2,500\\S =\frac{2,300-2,500*0.59}{0.55}\\S=1500

2,500 German chocolate cake boxes and 1,500 Swiss chocolate cake boxes can be made each day.

6 0
2 years ago
write the comparison below as a ratio in it's simplest form using a fraction, a colon and the word to. _____ 15 dollars to 27 do
FrozenT [24]

Answer:

Step-by-step explanation:

15/27 - 5/9

5:9

5 to 9 ratio

6 0
2 years ago
Jane max and greg are splitting a 10 ounce bag of popcorn. If they share the popcorn equally how many ounces of popcorn will eac
Sauron [17]
Since it's 3 people splitting 10 oz, we get:
\frac{10}{3}

Which can then be simplified to a mixed fraction:
3 \frac{1}{3}

So, yes, you got it right! Good job!
5 0
2 years ago
Read 2 more answers
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