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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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What is 89,659 rounded to the nearest hundred thousand?
n200080 [17]

<u><em>Answer:</em></u>

100,000


<u><em>Explanation:</em></u>

To round a number to the nearest hundred thousands, we need to check the digit in the ten thousands position:

1- If this digit is <u>less than 5</u>, we will round down. This means that the digit in the hundred thousands position will remain the same and all digits after it will be converted to zeroes

2- If this digit is <u>equal to or greater than 5</u>, we will round up. This means that we will add one to the digit in the hundred thousands position and convert all digit after it to zeroes


Now, the given number is:

89,659

The digit in the hundred thousands position is 0

The digit in the ten thousands position is 8 which is greater than 5. Therefore, we will round up following rule 2 written above

This means that 89,659 rounded to the nearest hundred thousands would be 100,000


Hope this helps :)

4 0
2 years ago
Read 2 more answers
Steven Kellogg, a jet airplane mechanic, works at an hourly rate of
lozanna [386]

Answer:

Part a) The straight-time pay is \$1,332

Part b) The overtime  pay is \$432

Part c) The total pay is \\$1,764

Step-by-step explanation:

Part a) What is his straight-time  pay?

To find out his straight-time  pay multiply the hourly rate of $36 by 37 hours worked

so

(36)(37)=\$1,332

Part b) What is his overtime  pay?

we know that

The hourly rate for overtime is equal to

(1.5)(36)=\$54

so

Multiply the hourly rate for overtime by the number of hours overtime

(54)(8)=\$432

Part c) What is his total pay?

we know that

The total pay is equal to sum the straight-time  pay plus the overtime  pay

\$1,332+\$432=\$1,764

3 0
1 year ago
Amy is helping plan her school's new basketball court. The west edge of the basketball court is located on the line y = 2x + 5.
ipn [44]

Answer:

Line of east wedge is: 2x - y = 96

So, Option 1 is correct.

Step-by-step explanation:

The east edge cannot intersect with the west edge means that two lines are parallel.

If the two lines are parallel then they have same slope. We need to find the slopes of given lines and check which line has slope same as slope of west edge.

Slope of west edge.

y = 2x + 5

The standard equation for slope intercept form is:

y = mx+b

where m is the slope. So, m= 2

Now finding line for east edge.

Option 1.

Convert each given equation to standard slope intercept form and find the slope.

2x -y =96

-y = -2x +96

Multiply with -1

y = 2x -96

m = 2

Option 2.

-2x -y = 96

-y = 2x +96

y = -2x-96

m = -2

Option 3

-y-2x =48

-y = 2x +48

y = -2x -48

m = -2

Option 4.

y+2x = 48

y = -2x+48

m = -2

So, only line of Option 1 has slope = 2 which is equal to the slope of west edge.

Line of east wedge is: 2x - y = 96

So, Option 1 is correct.

7 0
1 year ago
What is StartFraction 11 Over 12 EndFraction divided by one-third? A fraction bar labeled 1. Under the 1 are 3 boxes labeled one
Sav [38]

Answer:

<h2>2 and three-fourths </h2>

Step-by-step explanation:

Given the expression \frac{11}{12}/\frac{1}{3}, the equivalent expression can be gotten as shown;

= \frac{11}{12}/\frac{1}{3}\\= \frac{11}{12}*\frac{3}{1}\\  = \frac{11}{4} \\= 2+\frac{3}{4}\\ = 2\frac{3}{4}

2 and three-fourth therefore gives the required expression

8 0
1 year ago
Read 2 more answers
A government official is in charge of allocating social programs throughout the city of Vancouver. He will decide where these so
otez555 [7]

Answer: (0.132132, 0.274368)

Step-by-step explanation:

Given : A simple random sample of 123 people living in Gastown and finds that 25 have an annual income that is below the poverty line.

i.e. n= 123

\hat{p}=\dfrac{25}{123}\approx0.203252

Critical value for 95% confidence interval : z_{\alpha/2}=1.96

Confidence interval for population :

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

i.e. 0.203252\pm (1.96)\sqrt{\dfrac{0.203252(1-0.203252)}{123}}

0.203252\pm (1.96)\sqrt{\dfrac{0.203252(1-0.203252)}{123}}\\\\\0.203252\pm0.071118\\\\=(0.20325-0.071118,\ 0.203252+0.071118)\\\\=(0.132132,\ 0.274368)

Hence, the 95% confidence interval for the true proportion of Gastown residents living below the poverty line : (0.132132, 0.274368)

5 0
2 years ago
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