Was I correct? I was having a bit of trouble on C and D :(

Solution :

Given :

Principal amount deposited, P = $ 6000

Rate of interest, r = 5%

Number of years, t = 4 years

When the deposited amount is compounded semiannually, i.e. n = 2

Therefore,

Future value,

[tex]$FV = P\left( 1 +\frac{r}{n}\right)^{nt}$[/tex]

[tex]$FV = 6000\left( 1 +\frac{0.05}{2}\right)^{2 \times 4}$[/tex]

[tex]$FV = 6000 \times (1.025)^8$[/tex]

       = 6000 x 1.2184

        = 7310.4

Therefore, after 4 years there will be $ 7310.4 in the amount when compounded semi annually.

When the deposited amount is compounded quarterly, i.e. n = 4

Therefore,

Future value,

[tex]$FV = P\left( 1 +\frac{r}{n}\right)^{nt}$[/tex]

[tex]$FV = 6000\left( 1 +\frac{0.05}{4}\right)^{4 \times 4}$[/tex]

[tex]$FV = 6000 \times (1.0125)^{16}$[/tex]

       = 6000 x 1.219889

        = 7319.334

Therefore, after 4 years there will be $ 7319.334 in the amount when compounded quarterly.

When the deposited amount is compounded monthly, i.e. n = 12

Therefore,

Future value,

[tex]$FV = P\left( 1 +\frac{r}{n}\right)^{nt}$[/tex]

[tex]$FV = 6000\left( 1 +\frac{0.05}{12}\right)^{12 \times 4}$[/tex]

[tex]$FV = 6000 \times (1.0041667)^{48}$[/tex]

       = 6000 x 1.22089

        = 7325.34

Therefore, after 4 years there will be $ 7325.34 in the amount when compounded monthly.

Answer:

linear

Step-by-step explanation:

If it is linear, for each unit increase in x, there should be a constant change in y.

x=1, y=5

in x=2, we expect y to increase by 5 units, so 5+5 = 10, which is right.

x=3, expect 5 units increase, and we do see that as 10+5 = 15.

x=4, expect 5 unit increase, and 15+5 =20 so we see that

this is linear function, if nonlinear then we would see different changes of y for each unit increase of x.

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Answer:

Option (B) is the correct answer.

Step-by-step explanation:

Let 'x' the starting point be

She walks down 2 flights to visit a friend.

so walking down means we need to add 2 units to the starting point x

[tex]x+2[/tex]

Then he walks up 3 flights to deliver a message to a neighbor.

now subtracting 3 units from (x+2)

[tex]x + 2 - 3 = -1[/tex]

x = -1 means now he is UP to 1 point where he started his flight.

Thus, he needs to walk down 1 more flight to reach her starting point

Thus, -1 is the number of flights Brandie must walk to get back to her starting point.

Therefore, option (B) is the correct answer.

Answer:

it will be the first the 5th the 2nd and the 3rd

Answer:

8

Step-by-step explanation:

Y×2+3=19

19-3=16

16÷2=8

You subtract the 3 first to get what the number was when doubled. After getting that number you would divide it by 2 to get the number that you thought of.

Step-by-step explanation:

the three angles =180

because they are supplementary angles

I hope this help

Porción indefinida de plano limitada por dos líneas que parten de un mismo punto o por dos planos que parten de una misma línea y cuya abertura puede medirse en grados.

ángulos adyacentes Ángulos que tienen el vértice común, un lado común que los separa y los otros dos lados en línea recta.

Answer:

They are adjacent. x=10/3

Step-by-step explanation:

Answer:

(3,0)

Step-by-step explanation:

Hope this helps

Answer:

[tex]\huge\mathtt{{\colorbox{silver}{ANSWER~~~↴}}}[/tex]

ꜰɪʀꜱᴛ ᴡᴇ ᴡʀɪᴛᴇ ᴛʜᴇ ɢɪᴠᴇɴ↴

⇒WIDTH = Y cm

⇒LENGTH =( y+2 )cm

⇒PERIMETER = 32cm

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

solution ↴

perimeter of rectangle = 2 ( length + width)

[tex]32cm = 2( (y +2) +y )cm \\ \frac{32}{2} cm = 2y + 2cm \\ 16cm = 2y - 2cm \\ 16 cm- 2 cm=2y\\ 14cm = 2y \\ y = \frac{14cm}{2} \\ y = 7cm

[/tex]

☛ so the width of the rectangle is 7cm

so we all done :D

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

Answer:

See work below.

Step-by-step explanation:

There are 20 total blocks. 6 of them are painted. We can divide 6 by 20 and multiply that number by 100 to find the percentage of painted blocks.

6/20 = 0.3

Now, we need to multiply by 100 to convert to a percentage.

0.3 x 100 = 30%

Answer:

30% work below

Step-by-step explanation:

There are 20 squares in total if 6 are painted you get the fraction.

[tex]\frac{6}{20} /\frac{2}{2} = \frac{3}{10}[/tex]

3/10 as a decimal is .3

.3 as a percent is 30% because you move the decimal to the right 2 times.

Hope this helps ya!

Answer:

C. 2x² + 6x - 1 = 0

Step-by-step explanation:

2x² - 3 = -6x - 2

2x² - 3 + 6x = -6x + 6x - 2

2x² - 3 + 6x = -2

2x² - 3 + 6x + 2 = -2 + 2

2x² + 6x - 1 = 0

Hope that helps.

Answer:

X: time mowing lawn (325 Cal/hour)

Y:time raking leaves (275 Cal/hour)

325X + 275Y = 885

3 - X = Y

(1.2 hours mowing the lawn, 1.8 hours raking leaves)

Step-by-step explanation:

you forgot to include vital information. When ahmit rakes leaves, he loses 275 calories per hour. When he mows the lawn, he loses 325 calories per hour according to the textbook you got this from. If he works for 3 hours, you need to find the portion of each activity he did by working backwards from the total calories lost, 885.

Answer:

x = 5

Step-by-step explanation:

3x + 2(2x − 1)= 33

simplify

3x + 4x - 2 = 33

7x - 2 = 33

add 2 to both sides

7x - 2 + 2 = 33 + 2

7x = 35

divide both sides by 7

7x/7 = 35/7

x = 5

Answer:

Yes.

Step-by-step explanation:

To find the point of intersection we solve the system:

y = x + 3

y = -x + 7       Subtract:

0 = 2x - 4

2x = 4

x = 2.

She is correct.

Answer:

yes

Step-by-step explanation:

Given the 2 equations

y = x + 3 → (1)

y = - x + 7 → (2)

Substitute y = x + 3 into (2)

x + 3 = - x + 7 ( add x to both sides )

2x + 3 = 7 ( subtract 3 from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

Thus the functions intersect at x = 2

Answer:

30 I am a little confused

Answer:

C. Because they have the same slopes and different y-intercepts

Step-by-step explanation:

Answer:

Your answer would be the 3rd one.

Because they have the same slopes and different y-intercepts.

I hope that this is the answer you were looking for!

Have a great day!

dysodjd kfudoandudslfhsotn

Answer:

-3 and  infant soultion

Step-by-step explanation:

please since i gave u answer can u answe my recent question

Answer:

quadratic function can find and write with the vertex and function the graph better.

Step-by-step explanation:

number 2 is your answer

Answer:

number 2 is your answer

Step-by-step explanation:

Answer:

(1) -27

Step-by-step explanation:

Answer: $7.06

Step-by-step explanation:

$0.98 + $1.19 + $4.89 = $7.06

Answer:19.8

Step-by-step explanation: if you look at the lines it describes the length of the area it’s on. Since there is 4 lines on right side it would be 9.9+9.9 which would give you and answer of 19.8 so CH=19.8

Answer:

CH=12

Step-by-step explanation:

CH=12

9.9+9.9=19.8

19.8x19.8=392.04

8x8=64

392.04-64=328.04

v328.4=18

18-6=12

Answer:

C

Step-by-step explanation:

The percentage is calculated as

% = [tex]\frac{blue}{total}[/tex] × 100%

Total number of cars = 28 + 16 + 24 = 68

number of blue cars = 28, then

% blue = [tex]\frac{28}{68}[/tex] × 100% = 41% ( to the nearest percent )

Answer:

80 buckets of red paint

Step-by-step explanation:

Given

The ratio of buckets of yellow paint to buckets of red paint in the store to be 3:4

Total ratio = 3 + 4 = 7

Amount of yellow paint = 60

Required

Amount of red paint.

First get the total amount of paint used.

3/7 * x = 60

x is the total paint used

3x/7 = 60

3x = 7*60

x = 420/3

x = 140 buckets of paint

Amount of red paint = Total - Amount of yellow paint

Amount of red paint = 140 - 60

Amount of red paint = 80

Hence there are 80 buckets of red paint in the store

Answer:

graph have no common points of intersection

Step-by-step explanation:

since both slopes have a value of 3, the system of equations are two parallel lines.

parallel lines will never meet.

since the y intercepts (plug in 0 for x or look at the constant) are different, they are not the same line

Answer: 54%

Step-by-step explanation: