6. A man invested $16,000. He invested a portion at 6% and the balance at 8%. If he receives $260 every 3
months, how much did he invest at each rate?
1 =
Let p = money invested at 6%. _512000
16,000 - p = money invested at 8% $4,000.
3 1
yr (We need to express time in terms of years. 3 months is of a year.)
12
I = $260
Check
260 = p(0.06 yrs £ ¥r) + (16,000 – p(0.08/yr) ( 4 yr)
260 (2000)(0.0 Gdyncdys)*
(1500072,000.00.0Vgn Gray)
260=180+80
260:260
2602020157 0.02(163000 €)
200=0.05p+320 -0.010
260=390-0.005p
200-320 -0.005
-Go
0.005
0=12000

So I have already solved this problem but I don’t really understand how I solved it if anyone could help me I would really appreciate it!

soory I don't know the answer

Answer:

A number multiplied by its self for ex 7 x 7 = 49 square root of 49 is 7

Answer:

A square root of a number is a value that, when multiplied by itself, gives the number. 6 · 6 = 36, so a square root of 36 is 6. You are probably curious why I said a square root and not the square root. - 6 · - 6 = 36. - 6 is a square root of 36. The symbol is √ which always means the positive square root.

√1 = 1

√4 = 2

√9 = 3

√16 = 4

√25 = 5

√36 = 6

√49 = 7

√64 = 8

√81 = 9

√100 = 10

Answer:

36

Step-by-step explanation:

if we were decreasing it would be 9 but if we are increasing it, it would be 36

just multiply by 2 or divide by 2

Answer:

27

Step-by-step explanation:

increasing by 1 half is like dividing. 4 increased by one half would be 6, because half of four is 2, and you add that on to four. increasing 18 by half, divide 18 by 2, that = 9 then add 9 onto 18. the answer is 27

Answer:

11 1/6

Step-by-step explanation:

Answer:

Hi! answer: v = 33

Step-by-step explanation:

44 - 11 = 33 11 + 33 = 44 so v = 33

Answer:

1.05 * 10⁰

Step-by-step explanation:

Standard form is a way of representing either very large or very small numbers easily.

If a number is to be written in standard form, you have to first write down the number between 1 and 10, then you write × 10(to the power of a number).

Given that the amount of rain that fell near Marie's house is one and five hundredths inches of rain.

Amount of rain = one and five hundredths inches of rain = 1 + 5/100 = 1 + 0.05 = 1.05

Amount of rain in standard form = 1.05 * 10⁰

Answer: -188

Step-by-step explanation: i had to subtract 3 63 times and i got -188

Answer:

Slop of the line M = -2

Step-by-step explanation:

Given coordinates;

(-1 , 1) , (3 , -7)

Find:

Slop of the line

Computation:

We know that;

x1 = -1

x2 = 3

y1 = 1

y2 = -7

Slop of the line M = Δy / Δx

Slop of the line M = (y2 - y1) / (x2 - x1)

Slop of the line M = (-7 - 1) / [3 - (-1)]

Slop of the line M = (-8) / [3 + 1]

Slop of the line M = (-8) / (4)

Slop of the line M = -2

Answer:

6.650, 6.68, 6.803, 6.82

Step-by-step explanation:

You just treat the decimals as you would whole numbers. Try imagineing them as whole numbers and its a lot easier like this. 6.82 and 6.68 as 682 and 668, you can clearly see 668 is lower than 682 so it comes first. Therefore, 6.68 is lower than 6.82 and comes first.

Answer:

The surface area of the green prism is 2.5 times greater than the surface area of the blue prism

Answer:

39

Step-by-step explanation:

Answer:

Solution given:

The length of the garden[l] = 2434 feet.

breadth or width [b]=b

perimeter of his garden = 7012 feet.

2[l+b]=7012ft

2434+b=7012/2

b=3506-2434

b=1072

So the width of the garden is 1072ft.

Step-by-step explanation:

Consider the expression 16 - 4 × 3 + 7. 2a. Use parentheses to rewrite the

expression so that it equals 11.

. Use parentheses to rewrite the expression so that it equals 120.Consider the expression 16 - 4 × 3 + 7. 2a. Use parentheses to rewrite the

expression so that it equals 11.

. Use parentheses to rewrite the expression so that it equals 120.

Jack is wrong because he used the distributive property wrong. On the top equation, you see 2(4k - 3). The 2 multiplies into the (), so basically you have

2 x 4k - 2 x 3

which gives you

8k - 6

Answer:

Taniyah

Step-by-step explanation:

Taniyah is correct because you need to:

diistribute : 8k - 6 - 6k = 14

combine like terms : 2k - 6 = 14

add 6 to both sides : 2k - 6 + 6 = 14 + 6

simplify : 2k = 20

divide both sides by the same factor : 2k/2 = 20/2

simplify : k = 10

Answer:

[tex]\$1583.33[/tex]

Step-by-step explanation:

Let [tex]d[/tex] be the amount of money you need to save each month to have the full $23,000.

We can write the following inequality:

[tex]4,000+12d\geq 23,000[/tex]

Solving for [tex]d[/tex]:

[tex]4,000+12d\geq 23,000,\\12d\geq 19,000\\d\geq \approx \boxed{\$1583.33}[/tex]

Answer:

B i took the quiz

Step-by-step explanation:

Just trust me bro

The system of equations has infinite solutions.

Option D is correct.

Matrix multiplication is a binary operation whose output is also a matrix when two matrices are multiplied.

To multiply one matrix with another, we need to check first, if the number of columns of the first matrix is equal to the number of rows of the second matrix. Now multiply each element of the column of the first matrix with each element of rows of the second matrix and add them all.

Given

Matrix equations

[tex]\left[\begin{array}{ccc}2&4\\1&2\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}6\\3\end{array}\right][/tex]

L.H.S:

Using Matrix multiplication

[tex]\left[\begin{array}{ccc}2&4\\1&2\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}2x+4y\\x+2y\end{array}\right][/tex]

R.H.S:

[tex]\left[\begin{array}{ccc}6\\3\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}2x+4y\\x+2y\end{array}\right]=\left[\begin{array}{ccc}6\\3\end{array}\right][/tex]

Writing equation from above matrix

2x + 4y = 6

x + 2y = 3

or

2x + 4y = 6

2x + 4y = 6

Because there are two unknown number, but the two equations are consistent.

So, the system of equations has infinite solutions.

Option D is correct.

Find out more information about matrix multiplication here

https://brainly.com/question/14490203

#SPJ2

Answer:

Hello! answer: a = 79

Step-by-step explanation:

This is a complimentary angle so it will add up to 180 so 180 - 101 = 79 so 79 is the answer hope that helps!

===================================================

Explanation:

I've highlighted lines m and k in red (see diagram below). We'll ignore the other lines. On those red lines, I've added blue points with their coordinate locations.

Line m has point A = (-3, 5) and B = (-1, -3). Let's use the slope formula to find the slope through these points

m = (y2-y1)/(x2-x1)

m = (-3-5)/(-1-(-3))

m = (-3-5)/(-1+3)

m = -8/2

m = -4

The slope of line AB, aka line m, is -4.

-------------

Line k has points C = (1, 5) and D = (3, -3) on it. We'll use the slope formula to get...

m = (y2-y1)/(x2-x1)

m = (-3-5)/(3-1)

m = -8/2

m = -4

The slope of line CD, aka line k, is -4

---------------

Both lines m and k have the same slope of -4. Therefore, the two lines are parallel. Parallel lines always have the same slope, but different y intercepts. So these lines will never intersect one another.

Answer:

w = 12°

Step-by-step explanation:

Angle J = Angle H

Angle K = Angle I

So lets find the sum of the entirety of angles

360° = 2w + 34° + 2w + 34° + 4w + 74° + 4w + 74°

360° = 12w + 68° + 148°

360° = 12w + 216°

Subtract 216° from both sides

360° - 216° = 12w + 216° - 216°

144° = 12w

Divide both sides by 12

144°/12 = 12w/12

12 = w

w = 12°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Step-by-step explanation:

Consider that adjacent angles are supplementary in any parallelogram (including rhombus).

Solve for w:

Find the value of ∠J:

Answer:

false fs

Step-by-step explanation:

Answer:

$1783.03

Step-by-step explanation:

Annually compounding interest formula:

PV(1+i)ⁿ

1500(1+.025)⁷

1500(1.025)⁷

1783.028631

which rounds to

1783.03

Answer:

$1783.03

Step-by-step explanation:

You use the formula for finding the interest rate.

So 1500(1+.025)^7

Which you put that in a calculator and it comes to out to 1783.0286. Then just round up.

Hope this helps

Brainliest would be appreciated

Answer:b

Step-by-step explanation:

Answer:4T

Step-by-step explanation:

T

Answer:

Use a calculator and use the formula 1/2 × pi × (radius squared)

Answer: D

Step-by-step explanation:

Answer:

B

Both the domain and range change.

Both the range and domain stay the same.

The domain stays the same, but the range changes.

The range stays the same, but the domain changes.

Step-by-step explanation: