Increase 140 by 45%.

Answer:

a. You are looking for an annuity that will give $41,000 in 5 years with a quarterly compounding rate of 4.25%.

Convert periods and interest to quarterly rate.

Period = 5 * 4 = 20 quarters

Interest = 4.25 / 4 = 1.0625‬%

41,000 = Annuity * ( [ 1  +  i ] ^n - 1 )/i

41,000 = Annuity * ( [ 1 + 1.0625%]²⁰ - 1) / 1.0625%

41,000 = Annuity * 22.1534596596

Annuity = 41,000 / 22.1534596596

= $1,851

b. There were 20 payments of $1,851 made which totals:

= 1,851 * 20

Cash from deposits = $‭37,020‬

Cash from interest = 41,000 - ‭37,020‬ = $3,980

Answer:

Undefined

Step-by-step explanation:

You can't have the same domain.

Answer:

I can't see all the options but just go horizontally to the left 4 then vertically 3 up

Answer:

The Bench is 450 and the Garden table is 364

Step-by-step explanation:

Total of $814 substrate our difference of $86

so 814-86= 728 divide this by the amount of furniture purchased (2)

2/ 728= 364. Add on our difference of 86 to get our larger amount of 450.

Answer:

The bench cost $364

Step-by-step explanation:

Hey there,

Before starting, you want two separate variables to represent both the table and the bench.

Let's do this...

Garden table: x

Bench: y

*Note the variables don't have to be x and y, they just have to be two different variables, I just chose x and y. Any letter works as long as they're different.

We then know that the garden table PLUS the bench had a total cost of $814.

Going back to our variables, we could represent this system by saying...

x + y = 814

(remember x is the garden table and y is the bench)

We also know that the garden table costs $86 LESS than the bench.

Going back to our variables, we could represent this by saying...

x - 86 = y

(x - 86 is basically saying that the garden table minus $86 equals the cost of the bench)

Just by looking at this, we know that y is equal to x - 86.

Here's what you have to do...

Plug in y for the first equation...

x - 86 = y

x + ( x - 86 ) = 814

Now, solve...

2x - 86 = 814

Add 86 on both sides...

2x = 900

divide by two on both sides...

x = 450

We now know that the garden table costs $450. But how do we find the cost of the bench? Plug in x back into the original equation...

x + y = 814

(450) + y = 814

subtract 450 on both sides...

You get y = 364

The bench has a total cost of $364

I really hope this helped :)

Answer:

0.4, 40%

Step-by-step explanation:

Step-by-step explanation:

so we're making two draws *with* replacement (this is important)

step 1: for the first draw, it wants the probability of getting a sour candy. to calculate this:

(# of sour candy) / (total # of candy)

step 2: for the second draw, it wants the probability of *not* getting a sour candy. to calculate this, you can calculate 1 - (the probability form part 1).

step 3: to find the probability of both events happening together, simply multiply the probabilities from part 1 and 2 together

side note: for step 2, you can only do this because the candy is being replaced. if there were no replacement, you'd have to re-calculate (# of non-sour candies) / (total after the first candy is drawn)

Answer:

A. 23%

Step-by-step explanation:

Let's figure out how many pieces of candy there is in total:

10 + 12 + 6 = 28

In total, there are 28 pieces of candy.

Let's find the probability that a piece is sour:

[tex]\frac{10}{28} = \frac{5}{14}[/tex]

The probability of pulling a sour piece out of the bag is 5/14.

This means that the probability that the candy pulled is not sour is 9/15 (or simplified 3/5)

To find the probability that the first candy picked out is sour AND the second candy picked is not sour we have to multiply the probabilities of both:

[tex]\frac{5}{14} *\frac{3}{5} = 0.229 = 23[/tex]

Therefore, A. 23% is the correct answer.

Hope this helps!!

- Kay :)

Answer:

20

Step-by-step explanation:

Answer:

it is a distributive property

Answer:

Step-by-step explanation:

Answer:

Y = negative x + 9

Step-by-step explanation:

Find the equation of the line for side S-

m= 4-1/1-4 = 3/-3 = -1

The Gradient is -1

Since parallel lines share the same gradient, it should be either of the first two options.

We can see side Q shares the same gradient: 3-6/6-3= -1

Find the equation of the line of side Q-

y-y1= m(x-x1)

y-6= -1(x-3)

y-6=-x+3

y= -x+9

Answer:

a

Step-by-step explanation:

Answer:

Expand: x² + 11x + 11x + 121

Simplify: x² + 22x + 121

Step-by-step explanation:

To expand this, you can use the FOIL technique:

First terms

Outer terms

Inner terms

Last terms

(x+11)(x+11)

F - x*x = x²

O - x*11 = 11x

I - 11*x = 11x

L - 11*11 = 121

Put these numbers together (expanded) to get:

x² + 11x + 11x + 121

Put the common terms together (simplify) to get:

x² + 22x + 121

Note:

Not sure if you need this info, but (x + 11)(x + 11) is the same as (x + 11)².

The numbers need to be in the order I put them in because you are supposed to place them in order greatest to least degree.

Hope it helps!

Answer:

0.070

Step-by-step explanation:

To round to a significant figure:

look at the first non-zero digit if rounding to one significant figure

look at the digit after the first non-zero digit if rounding to two significant figures

draw a vertical line after the place value digit that is required

look at the next digit

if it's 5 or more, increase the previous digit by one

if it's 4 or less, keep the previous digit the same

fill any spaces to the right of the line with zeros, stopping at the decimal point if there is one

Answer:

6 < 2n = 4

Step-by-step explanation:

ig

Answer:

2 plants in sf goes to unit rate.

6 plants in 1 sy goes to rate.

8 seeds per sf goes unit rate and the rest goes to rate.

Step-by-step explanation:

Answer:

rate

a square yard for every 100 grass seeds

25 trees per 25 square yards

4 acres for 800 plants

unit rate

2 plants in a square foot

8 seeds per square foot

6 plants in 1 square foot

Step-by-step explanation: trust me I did the test! it's right!

Answer:

a) [tex]\frac{10}{21}[/tex]

b) [tex]\frac{1}{2}[/tex]

c) [tex]\frac{16}{25}[/tex]

d) [tex]\frac{10}{27}[/tex]

e) [tex]\frac{80}{209}[/tex]

f) [tex]\frac{29}{50}[/tex]

Step-by-step explanation:

Ratio means to divide in simple terms, therefore you divide each value by the other.

Answer:

19

Step-by-step explanation:

☺

Answer:

yufcyiciygciykgc, nbhgcv

Step-by-step explanation:

98yfgouyfuchkgcbvkhgcihdiytdiytditdytdiytdityghvhgcxdfsrtyuhkjbhcgfdxzsaewrsdxfhgyujkhjmnb cvngfjkhji

Answer:

2/3 x 12 = 8/x

8x

Answer:

y=6x-6

Step-by-step explanation:

The slope equation is: y=mx+b

Keep in mind that m= slope and b= y-intercept

Since this problem gives us both of the things needed to complete the equation, we just need to plug it in.

m, (slope) = 6

b, (y-intercept) = -9

y= 6x-6

Answer:

x can be 14 or more

Step-by-step explanation:

Answer:

x>13! I hope I helped? :')

Steps for answer!

1. Subtract 11 from both sides.

24−11<x

2. Simplify  24-11 to 13.

13<x

3. Switch sides.

x>13

9514 1404 393

Answer:

Step-by-step explanation:

The angle marked 5x° is one of two acute angles in an isosceles right triangle, so is 45°.

  5x° = 45°

  x = 9 . . . . . . . divide by 5°

__

The side lengths are equal, so ...

  7y -9 = 5y +15

  2y = 24 . . . . . . . . add 9-5y

  y = 12 . . . . . . . . . .divide by 2

Answer: No

Step-by-step explanation:

4.8%

=> 4.8 / 100

=> 4.8 = 0.048

Answer:

15

Step-by-step explanation:

The first thing we have to do is find angle A

I will assume that you know SOH CAH TOA (if not ,ask)

We will use TOA

Tan(angle)=5/10

angle= 26.565

Now that we know angle A we will look at these two triangles as one big one

We know that side CA=30 and that anglea=26.56 so we can use TOA again

Tan(26.565)=x/30

30tan(26.565)=x

x=15

Answer:

the answer is 15

Step-by-step explanation:

Answer:3Y+6=12

3(2)+6=12

Step-by-step explanation:Because 3 + 3 is 6 So That means that you repeat the pattern 4 times 3 Times 4 equals 12

Answer:

The answer is 3

Step-by-step explanation:

3/4x4 =3

4 x 3/4 = 3

All you are doing is reducing the numbers with the greatest common factor which is the number 4.

Answer:

2p-10 trust me sksksksk

Answer:

I'm not sure for my answer but is B

I'm gonna put the steps

Step-by-step explanation:

x2−4x−12as(x+p)(x+q)

=−12apqs−12apsx−12aqsx−12asx2+x2−4x

Answer: 213 2/3 miles

Step-by-step explanation:

first we need to set up an equation to solve

let your equation be in y=mx+b form since we are using a rate

Since this is a word problem, dissect it and match each part with a variable in the slope-intercept equation

y = Budget

m = rate

x = how many miles she can go -- the unknown variable

b = the initial fee

Your equation should be: 50 = 0.15x + 17.95

We want to soIve for x now so first get rid of the coefficient not attached to it

To do this, you do the inverse function of addition, which is subtraction

Subtract 17.95 from both sides

Your new equation will be: 32.05 = 0.15x

0.15 is still attached to x, so we want to do the inverse function of multiplication, which is division

divide both sides by 0.15

Your final answer: 213 2/3 miles

The pre-image of the point is A ( -1 , 9 )

A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.

A translation in the coordinate plane moves every point on a figure a given distance in a given direction. The position of any point (x, y) on the figure changes to (x + a, y + b), where a and b are real numbers.

Given data ,

To determine the coordinates of the pre-image point A, we need to reverse the translation by moving left 4 units and down 5 units from the image point B(3, 14).

Moving left 4 units from B(3, 14) means subtracting 4 from the x-coordinate:

x-coordinate of A = 3 - 4 = -1

Moving down 5 units from B(3, 14) means subtracting 5 from the y-coordinate:

y-coordinate of A = 14 - 5 = 9

Hence , the coordinates of the pre-image point A are (-1, 9)

To learn more about translations click :

https://brainly.com/question/19007400

#SPJ2

Answer:

Third option) y = -2/3x + 2

Step-by-step explanation:

It is parallel to 2x + 3y = 12

Answer:

Step-by-step explanation:

To solve this you need the Law of sines

a, b, c are the sides opposite to angles A, B and C respectively

Applied to the given triangle we have one side given, the opposite angle to be found.