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viva [34]
3 years ago
7

Nico is saving money for his college education. He invests some money at 6​%, and ​$1600 less than that amount at 4%. The invest

ments produced a total of ​$156 interest in 1 yr. How much did he invest at each​ rate?
He invested ​$___ at 6​% and ​$___ at 4​%.
Mathematics
1 answer:
strojnjashka [21]3 years ago
7 0
Let's say the amounts are "a" and "b"
                                      6%       4%

now... we dunno what "a" is, but nevermind, whatever that is, "b" invested at 4%, is 1600 less than that or less than "a", namely b = a - 1600

so.. "a" is the bigger amount than "b" by 1600, but no matter

what is 6% of a? well, 6/100 * a or 0.06a, that's how much it yielded
what is 4% of b? well, 4/100 * b, or 0.04b, that's much it earned in interests

we know, their yield, or total in earned interest is 156, so.. whatever those yields are, they add up to 156 or

0.06a + 0.04b = 156

now      \bf \begin{cases}
\boxed{b}=a-1600\\\\
0.06a+0.04b=156\\
----------\\
0.06a+0.04\left( \boxed{a-1600} \right)=156
\end{cases}

solve for "a", to see how much was invested at 6%

how much is "b"?  well, b = a - 1600
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4 0
3 years ago
The scale on a road map indicates that 2 inches = 30 miles. How many inches would represent 120 miles on this road map?
STatiana [176]

Answer:

8 inches = 120 miles

Step-by-step explanation:

If 2 inches is equivalent to 30 miles, then divide 120 by 30 then times the answer by two.

120 / 30 = 4

4 x 2 = 8

8 inches = 120 miles

To check;

30 x 4 = 120

8 / 2 = 4

Hope this helps!!!

4 0
3 years ago
Carroll’s is putting a border around the edge of a rectangular bulletin board. One side of the bulletin board measures 2 feet an
guapka [62]
Let's solve this problem step-by-step.

STEP-BY-STEP SOLUTION:

First let's establish that the problem requires the border to be as long as the total perimeter of the rectangular bulletin board.

Therefore:

Total length of border = Perimeter of rectangular bulletin board

As a rectangle has a total of four sides with two equivalent longer sides and two equivalent shorter sides, we must multiply the value of each of the two sides by two.

Total length of border = 2 ( 2 ) + 2 ( 4 )

Total length of border = 4 + 8

Total length of border = 12 feet

12 > 10

ANSWER:

Therefore, 10 feet of border isn't enough.

Please mark as brainliest if you found this helpful! :)
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4 0
3 years ago
A factory creates 80 kilograms of steel in 1 hour. How many kilograms does the factory make in 4 hours?
fgiga [73]

Answer:

320

Step-by-step explanation:

80*4

6 0
2 years ago
The following data pairs represent the average temperature x (in degrees Fahrenheit) and electricity
elena55 [62]

Answer:

<u>The correct answer is C. r = 0 because is most likely the closest to the correlation coefficient of the data.</u>

Step-by-step explanation:

Using Excel, we captured the data provided for the 12 different homes for calculating the correlation coefficient manually, this way:

n = 12

∑x = 904

∑y = 2,169

∑xy = 167,532

∑x² = 69,552

∑y² = 404,615

r =  [n *∑xy  - (∑x * ∑y)]/[√(n * ∑x² - (∑x)²) * (n * ∑y²  - (∑y)²)]

Replacing with the real values, we have:

r = [12 * 167,532  - (904 * 2,169)]/[√(12 * 69,552 - 904²) * (12 * 404,615  - 2,169²)]

r = [2'010,384  -1'960,776]/[√(834,624 - 817,216) * (4'855,380  - 4'704,561]

r = 49,608/√17,408 * 150,819

r = 49,608/ 51'239.215

r = 0.00097

<u>The correct answer is C. r = 0 because is most likely the closest to the correlation coefficient of the data.</u>

4 0
2 years ago
Read 2 more answers
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