PLZ, help me with this question.

Answer:

5230

Step-by-step explanation:

The amount of money in Carson's account after 14 years would be $5231.6

"Compound interest is the interest which is calculated from the original principal plus accumulated interest."

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

where,

A : Final amount

P : Initial amount (principal)

R : interest rate in percentage

r : interest rate (R/100)

n: number of  times the interest is compounded

t :  the overall tenure

For given question,

P = $3900, R = 2.1%, n = 12 (as compounded monthly), t = 14

for R = 2.1%,

[tex]r=\frac{2.1}{100} \\r=0.021[/tex]

Now, we need to find the value of A.

Using the formula of compound interest,

⇒ [tex]A=3900 \times (1+\frac{0.021}{12} )^{12\times 14}[/tex]

⇒ [tex]A=3900\times (1+0.00175)^{168}[/tex]

⇒ [tex]A=3900\times(1.00175)^{168}[/tex]

⇒ [tex]A=3900\times 1.3414[/tex]

⇒ [tex]A=5231.61[/tex]

⇒ [tex]A\approx \$ 5231.6[/tex]

Hence, there would be $5231.6 in the account after 14 years.

Learn more about compound interest here:

https://brainly.com/question/25857212

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Answer:

( -∞, -0.18 )

Step-by-step explanation:

a < -0.18

Interval Notation: ( -∞, -0.18 )

Answer:

40.9

Step-by-step explanation:

add all the sides

Answer:

48.9 or 40.9

Step-by-step explanation:

10 + 10 + 8 + 8 + 8.9 + 4 = 48.9

this is  INCLUDING the line inside, if youre not including it, then it is 40.9

Answer:

I can help!!

Step-by-step explanation:

Where is it?

Answer:

lol igu

Step-by-step explanation:

Answer:

it takes 2/3 gallons to paint each square yard of wall.

You know that Tyler painted 9/2 square yards area with 3 gallons of paint and want to know many gallons of paint does it take to paint each square yard of wall.

Then 9/2 square yards - 3 gallons

1  square yards - x gallons,

mathematically this is proportion: (in the picture)

The gallons of paint required for one square yard, and its tape diagram is required.

The volume of paint required to paint 1 square yard of the wall is [tex]\dfrac{2}{3}\ \text{gallons of paint}[/tex]

The required tape diagram is attached.

[tex]\dfrac{9}{2}\ \text{square yards}=4.5\ \text{square yards}=3\ \text{gallons of paint}[/tex]

[tex]1\ \text{square yard}=\dfrac{3}{4.5}=\dfrac{2}{3}\ \text{gallons of paint}[/tex]

So, the volume of paint required to paint 1 square yard of the wall is [tex]\dfrac{2}{3}\ \text{gallons of paint}[/tex]

Learn more:

https://brainly.com/question/19660852?referrer=searchResults

Answer 108 and c

Step-by-step explanation:

for question A the angle is a vertically opposite angle so that means that the answer is 108 degrees for B is C because the angles are vertically opposite .

Answer:4

Step-by-step explanation:3-8=-5. But because it is in absolute value, it would be positive 5. And then 5-1=4.

Answer:

[tex]y=\dfrac{-x}{5}+2[/tex]

Step-by-step explanation:

The given equation of line :

y = 5x + 3 ....(1)

The general equation of a line is :

y = mx +b ...(2)

From equation (1) and (2)

Slope, m = 5

The slope of the line perpendicular to this one will have a slope equal to the negative reciprocal such that,

[tex]m_1\times m_2=-1\\\\m_2=-\dfrac{1}{5}[/tex]

The perpendicular slope = -1/5. It contains point A(0,7).

Put x = 0 and y = 7 in eqution (2)

[tex]2=(\dfrac{-1}{5})(0)+b\\\\b=2[/tex]

Hence, required equation that is perpendicular to the line y = 5x + 3 is :

[tex]y=\dfrac{-x}{5}+2[/tex]

Answer:

Flip the image.

Step-by-step explanation:

Count the squares until the axis and flip the image. Just think of it like a mirror.

Answer: 6 cents

Step-by-step explanation:

1 pound = 16 ounces

3 pounds = 48 ounces

2.88 ÷ 48 = 0.06

0.06 = 6 cents.

One ounce of bananas cost 6 cents.

Hope this helps!

Answer:

The answer is -955.

Step-by-step explanation:

1+52−(16)(21)(3)

53−(16)(21)(3)

53−(336)(3)

53−1008

−955

Answer:

$96

Step-by-step explanation:

$128 X 78/100

= $128 X .75

= $96

Dion would buy it, he's rich

Answer:

i dont know you dident add the equation

Step-by-step explanation:

Answer: divided first

Step-by-step explanation:

Answer:

[tex]f(x)=(x+4)(x-7)(x-1)[/tex]

Step-by-step explanation:

zeroes are when you plug in that x value and get y=0

therefore if you set x = that number and solve for 0 you get a "function"

multiplying these together will yield the complete 3rd degree polynomial

x = 1

x-1=0

x=7

x-7=0

x=-4

x+4=0

[tex]f(x)=(x+4)(x-7)(x-1)[/tex]

If needed you could expand but I'm too lazy

Answer:

See below.

Step-by-step explanation:

The table shows the total number of students as 572 (bottom right cell in the table.)

The number of students who are 17 or older are the students in the two groups: 17-18 and 19-20.

There are 151 students with ages 17-18.

There are 34 students with ages 19-20.

The total of all students 17 or older is 151 + 34 = 185.

The probability of choosing a student age 17 or older is the number of students 17 or older (which is 185) divided by the total number of students (which is 572).

p(17 or older) = 185/572 = 0.3234 = 32.34%

We round 32.34% to the nearest integer to get 32%.

Answer:

PC = 12 units

AP = 10 units

Step-by-step explanation:

In ΔACE

∵ P is the centroid of it

∴ P divides CF the ratio 2: 1 from C

∴ PC = 2 PF

∵ PF = 6 units

∴ PC = 2(6)

∴ PC = 12 units

∵ P divides AD at the ratio 2: 1 from A

→ That means AD = 2 + 1 = 3 parts, and AP = [tex]\frac{2}{3}[/tex] AD

∴ AP = [tex]\frac{2}{3}[/tex] AD

∵ AD = 15 units

∴ AP = AP = [tex]\frac{2}{3}[/tex] (15)

∴ AP = 10 units

Answer:

a. [tex]-\frac{576}{365}[/tex]

b. [tex]\frac{23}{16}[/tex]

Step-by-step explanation:

The image below shows step-by-step using Order of Operations (PEMDAS) to solve both of them.

Hope this helps my friend! :)

Answer:

Y = 1/3x + 4

Step-by-step explanation:

y = mx + b

m = slope and b = y-intercept

Hope this helps. Pls give brainliest.

Answer:

y=1/3x+4

Step-by-step explanation:

The slope-intercept from is y=mx+b. the given information provides with the m/slope, but we are missing the b/y-intercept. to find the value we can plug in the x and y values with the given coordinates and solve.

5=1/3(3)+b

5=1+b

4=b

now that we have a y-intercept we can write this in slope-intercept form,

y=1/3x+4

Answer:

600

Step-by-step explanation:

If 30%=180 then you would divide 180 by 3 to get 60 then to get the full amount, multiply it by 100 to get 600

Answer:

29) 10

Step-by-step explanation:

the other I can't do...

Answer:

29) x = 10

30) 1.275 × 10⁻⁵

Step-by-step explanation:

29) 2x / 5 = 4 ⇒ 2x = 20 ⇒ x = 10

Answer:

It's B

Step-by-step explanation:

edge2021

We will see that g(x) is a reflection over the y-axis of f(x).

For a given function f(x), we can define:

In this case we have:

f(x) = 0.7*(6)^x

g(x) = 0.7*(6)^-x = f(-x)

So is ratter easy to notice that g(x) is a reflection over the y-axis of f(x), so the correct option is:

"g(x) is the reflection of f(x) over the y-axis."

If you want to learn more about reflections, you can read:

https://brainly.com/question/4289712

Answer:

39.9km a day

Step-by-step explanation:

Add up the four kilometers cycled and you should get 159.6km cycled in total.  Divide that number by 4 to get 39.9km as a result.  So she's wrong.

Answer:

39.9

Step-by-step explanation:

Because he cycled 4 days and the distances for each days are 32.3 km, 38.7 km, 43.5 km and 45.1 km. The total distance should be,

[tex]Total = 32.3 km + 38.7km + 43.4km + 45.1km\\\\= 159.6km\\[/tex]

Now the average should be,

[tex]Avg = \frac{159.6 km}{4}\\= 39.9 km[/tex]

This is of course less than 40km and you can told her that she's wrong. And, this is true only when the data of each day is accurate and not rounded so that actual total is relatively more than the one I have calculated.

Step-by-step explanation:

0.75x - 6 = x

0.25x = -6

x = -24

Hence the number is -24.

Answer: $17.50.

Step-by-step explanation;

If each muffin cost her $0.25 to make and she spent $8.75 making all muffins, then you can divide this amount to find out how many muffins she made (8.75/0.25), this is 35 muffins. If she sold each muffin for $0.50, multiply the number of muffins (35) by their price ($0.50), this is $17.50. Therefore, Maria received $17.50 from selling her muffins.