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Alexandra [31]
2 years ago
12

Henri has $24,000 invested in stocks and bonds. The amount in stocks is $6,000 more than three times the amount in bonds. Call t

he amount that Henri invested in stocks s and the amount he invested in bonds b.
Mathematics
2 answers:
Pie2 years ago
6 0

Answer:

Bonds: $4,500

Stocks: $19,500

Step-by-step explanation:

In order to solve this you just need to create a litte equation, to represent the bonds we will use "x" so Bonds equals "x" and the stocks are three times the amount of bonds plus 6,000 that is 3x+6,000, if you add both the result will be $24,000

So the equation would be:

x+ (3x+6,000)=24,000\\4x+6,000=24,000\\4x=24,000-6,000\\4x=18,000\\x=4,500

makvit [3.9K]2 years ago
4 0

Answer:

The solve of that problem is that Hernry invested $18.000 in stocks and $6.000 in bonds.

Step-by-step explanation:

First, to explain you have to do a multiplication about 6 on three. Like three times more than bonds, the result is 18. Then you have to do a  subtraction on $24.000 less $18.000, and the result is $6.000, so six is the amount on bonds. And is three times less than stocks, like the questions ask.

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An oblique cone has a height equal to the diameter of the base. The volume of the cone is equal to 18π cubic units. An oblique c
Vilka [71]

Answer:

The radius of the cone is 3 units

Step-by-step explanation:

An oblique cone is a kind of slanted cone. It is a figure such that the tip of the cone is not directly over the center of the circular base of the cone.

While the method for calculating the area of an oblique and a right-circular cone is different, the method for calculating the volume is the same

Mathematically, the volume of an oblique cone = 1/3 * pi * r^2 * h

in this question, we have the height and the volume but we want to calculate the radius

substituting the value for the volume, the height and radius( radius is half diameter = 2x/2 = x) we have

18 pi = 1/3 * pi * x^2 * 2x

divide through by pi

18 = 1/3 * 2x * x^2

54 = 2x^3

divide both sides by 2

x^3 = 54/2

x^3 = 27

x = cube root of 27

x = 3 units

This is the length of the radius

6 0
2 years ago
A stadium asked for $760,000 for naming rights. During a bidding war for the stadium naming rights, one company bid 7% more than
alex41 [277]

Answer:

\$\ 829464

Step-by-step explanation:

Bid of first company:

Bid is 7\% more

7\% of 760000=\frac{7}{100}\times760000=53200

Bid of first =760000+53200=813200

Bid of second company:

Bid of second is 2\% greater than that of first

2\% of first bid =\frac{2}{100}\times 813200=16264

Hence Bid of second company =813200+16264=829464

8 0
2 years ago
In a recent questionnaire about food, a random sample of 970 adults were asked about whether they prefer eating fruits or vegeta
alukav5142 [94]

Answer:

Z_{0.05}=1.645

Step-by-step explanation:

Given :In a recent questionnaire about food, a random sample of 970 adults were asked about whether they prefer eating fruits or vegetables, and 458 reported that they preferred eating vegetables.

To Find :What value of z should be used to calculate a confidence interval with a 95 % confidence level?

Solution:

Confidence level = 95 % i.e.0.95

So, significance level = 5% i.e. 0.05

So, the value of z corresponding to significance level 0.05 should be used  to calculate a confidence interval with a 95 % confidence level

So, Z_{0.05}=1.645

Hence z should be 1.645 to calculate a confidence interval with a 95 % confidence level.

4 0
2 years ago
The price per night for a hotel room is different at three different hotels.
Damm [24]
I think you meant it to be not repeating 3 times so
You do 192/3 is 60*3= 180 leaving you with 12 which is 4*3. So 64 is A
Then it’s 300/5 which is 60
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4 0
2 years ago
RESTAURANT MANAGEMENT
yan [13]

Answer:

33%

Step-by-step explanation:

3 0
1 year ago
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