Matthew invested $3,000 into two accounts. One account paid 3% interest and the other paid 8% interest. He earned 4% interest on the total investment. How much money did he put in each account?

Answer:

55

Step-by-step explanation:

Answer:

Step-by-step explanation:

You can make it by using division +/-. The keystrokes are

+

/

-

a = 13

b = -5

c = 1

x = [-(-5) +/- sqrt( (-5)^2 - 4*13*1) )] / 2

x = [ 5 +/- sqrt( 25 - 52) ] / 2

x = [ 5 +/- sqrt(-27)]/2

x = [5 +/- 3 sqrt(3)i ] / 2

x = 5/2 +/- 3/2 * sqrt(3) i

So x1 = 2.5 + 1.5 sqrt(3)i    or

x2 = 2.5 - 1.5 sqrt(3)i

The third ordered pair positive integers that satisfies the equation is (123, 369).

The given parameters;

The third ordered pair of the equation can be determined by using general equation of a circle;

[tex]a^2 + b^2 = r^2\\\\a^2 + b^2 = (123\sqrt{10} )^2\\\\a^2 + b^2 = (\sqrt{151290} )^2\\\\a^2 + b^2 = 151290\\\\a^2 = 151290- b^2\\\\ a= \sqrt{151290 - b^2}[/tex]

The radius of the circle is calculated as;

[tex]r^2 = 151290\\\\r = \sqrt{151290} \\\\r = 388.96[/tex]

The value of a can be obtained by randomly choosing numbers less than the radius as values of b.

[tex]b < r\\\\b < 388.96[/tex]

[tex]a = \sqrt{151290 \ - \ (387)^2} \\\\a = 39\\\\(39, \ 387)\\\\a = \sqrt{151290 \ - \ (333)^2}\\\\a = 201\\\\(201, \ 333)\\\\a = \sqrt{151290 \ - \ (369)^2}\\\\a = 123\\\\(123, \ 369)[/tex]

Thus, the third ordered pair positive integers that satisfies the equation is (123, 369).

Learn more about equation of circle here: https://brainly.com/question/24810873

0.25 but half but 26:26 Its same but half of half ....

Answer:

3x + 2x - 10 = 25

5x = 35

x = 7 is your answer

Step-by-step explanation:

brainliSt plz

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x=5/2

Decimal Form:

x=2.5

Mixed Number Form:

x=2 1/2

Step-by-step explanation:

Answer:

x <= 4

Step-by-step explanation:

29+9x<65

-29.      -29

9x<36

divide both sides by 9

x less than or equal to 4

Answer:

x ≤ 4

Step-by-step explanation:

29 + 9x ≤ 65

subtract 29 from both sides

29 - 29 + 9x ≤ 65 - 29

9x ≤ 36

divide both sides by 9

9x / 9 = x and 36 / 9 = 4

we're left with x ≤ 4

Answer:14

Step-by-step explanation:

Answer:

no it is really easy question to answered so do it your self

Answer:

8.4

Step-by-step explanation:

edge

Answer:

Step-by-step explanation:

Mistakes: The student did not distribute the 3 into 2, and the student did not distribute the 6 into negative 2. The student also left out the negative 2x in the first half of the equation.

Answer:

y=50

Step-by-step explanation:

[tex]\frac{1}{5}[/tex]y=10

 y=10÷[tex]\frac{1}{5}[/tex]

   =50

Answer:

-8b-24

Step-by-step explanation:

Just ask.

Hope this helps! :)

Answer:

-8b-24

Step-by-step explanation:

you would just distribute that -8 to what's inside the ( ).

Answer:

40,44,48,52

Step-by-step explanation:

These are multiples of 4 because 4 can be multiplied into all of them like

4x11=44

4x10=40

4x12=48

4x13=52

After demonstrating the procedure by algebraic means, the expression [tex](2\sqrt[3]{12} )\cdot (3\sqrt[3]{2} )[/tex] is equivalent to [tex]6\cdot \sqrt[3]{24}[/tex].

In this question we proceed to simplify [tex](2\sqrt[3]{12} )\cdot (3\sqrt[3]{2} )[/tex] by algebraic means into a single radical expression when possible, whose procedure is shown below and explained by appropriate definitions and theorems:

After demonstrating the procedure by algebraic means, the expression [tex](2\sqrt[3]{12} )\cdot (3\sqrt[3]{2} )[/tex] is equivalent to [tex]6\cdot \sqrt[3]{24}[/tex].

To learn more on radical expressions, we kindly invite to check this verified question: https://brainly.com/question/1810591

Answer:

7 and 4

Step-by-step explanation:

If you set up a rectangle you get an area of 28 cm^2

4x7=28

the base is 7 cm

the height is 4 cm

Answer:

2 14/25

Step-by-step explanation:

16/(2+1/2)^2 .        simplify 2+1/2 to 5/2

16/(5/2)^2

16/5^2/2^2

16/25/4

16*4/25

64/25

2 14/25

PEMDAS "P" is first, "E" second and then "D" is last

[tex]16\div \left( 2+\frac{1}{2} \right)^2\implies 16\div \left( \frac{2}{1}+\frac{1}{2} \right)^2\implies 16\div \left( \cfrac{4+1}{\underset{\textit{using this LCD}}{2}} \right)^2 \\\\\\ 16\div\left( \cfrac{5}{2} \right)^2\implies 16\div\cfrac{5^2}{2^2}\implies 16\div\cfrac{25}{4}\implies \cfrac{16}{1}\div\cfrac{25}{4}\implies \cfrac{16}{1}\cdot \cfrac{4}{25} \\\\\\ \cfrac{64}{25}\implies 2\frac{14}{25}[/tex]

Answer:

452.16 cm

28.26 m

113.04 km

Step-by-step explanation:

The equation for area is r^2 π

where you square the radius and multiply by 3.14 or pi or how many digits you need to use.

For example, on the first question, you multiply the radius (12) by itself or square it to get 144.

Then you multiply 144 by 3.14 to get your first answer.

Answer:

4060

Step-by-step explanation:

Answer:4060

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

range is how far the graph goes from bottom to top.

Answer:

Step-by-step explanation:

When the data set has odd number of elements, the median is the middle value.

When a data set has an even number of elements, the median is calculated by averaging the middle two values.

The acceleration of a car that travels in a straight line at a constant speed of 100 km/h is zero. Average acceleration = (change in velocity)/(time it takes). Since the car's change in velocity is zero, its acceleration is zero.

Answer:

  80a²b³c

Step-by-step explanation:

As with numbers, the LCM is the product of the highest-powered factors.

  16ab³ = 2⁴×a×b³

  5a²b² = 5×a²×b²

  20ac = 2²×5×a×c

The highest power of the factor 2 is 2⁴.

The highest power of the factor 5 is 5.

The highest power of the factor a is a².

The highest power of the factor b is b³.

The highest power of the factor c is c.

The LCM is 2⁴×5×a²×b³×c = 80a²b³c

Answer:

There is no solution to this equation.

Hope this helps :)

Answer:

no solution.

Step-by-step explanation:

carry the -5 and - sign and multiply the numbers within the () signs. so - 5×x and -5×6. which is -5x + -30. the other side will be -5x + 9. so then if you take away the -5x your left with -30 = 9 which is impossible.

Answer:

135 tiles

Step-by-step explanation:

3 x 1.8 = 5.4 (m2)

20 cm = 0.2 m

0.2 x 0.2 = 0.04 (m2)

5.4 / 0.04 = 135 (tiles)

Answer:

  $0.25 per ream

Step-by-step explanation:

The costs per ream are ...

  X: $40/(8 reams) = $5/ream

  Y: $19/(4 reams) = $4.75/ream

The savings per ream is $5.00 -4.75 = $0.25 for the cheapest brand.

[tex] \frac{(7 {x}^{2} {y}^{4} ) ^{2} }{49 {x}^{6} {y}^{5} } \\ = \frac{ {7}^{2} {x}^{2 \times 2} {y}^{4 \times 2} }{49 {x}^{6} {y}^{5} } \\ = \frac{49{x}^{4} {y}^{8} } {49 {x}^{6} {y}^{5}} \\ = {x}^{4 - 6} {y}^{8 - 5} \\ = {x}^{ - 2} {y}^{3} \\ = \frac{y ^{3} }{ {x}^{2} } [/tex]

Answer:

[tex] \frac{y ^{3} }{ {x}^{2} } [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.