There are two square office spaces. The length of a side of one space is 1 meter less than the length of a side of the

levacccp [35]

Answer: Perpendicular because the second line has a 2/3 slope and starts at 4.

7 0

3 years ago

Dean took out a 10-year loan for $40,000 at an APR of 4% compounded monthly. What will his balance be after he has made exactly

damaskus [11]

Answer:

The balance be after he has made exactly half of his monthly payments is $56881.4.

Step-by-step explanation:

Given : Dean took out a 10-year loan for $40,000 at an APR of 4% compounded monthly.

To find : What will his balance be after he has made exactly half of his monthly payments?

Solution :

Formula of monthly payment ,

$M=\frac{\text{Amount}}{\text{Discount factor}}$

Discount factor $D=\frac{1-(1+i)^{-n}}{i}$

Where, Amount = $40,000

Rate r= 4% compounded monthly

$i=\frac{4}{100}=0.04$

Time = 10 years

$n=10\times12=120$

Now, put all the values we get,

$D=\frac{1-(1+i)^{-n}}{i}$

$D=\frac{1-(1+0.04)^{-120}}{0.04}$

$D=\frac{1-(1.04)^{-120}}{0.04}$

$D=\frac{1-0.00903}{0.04}$

$D=\frac{0.9909}{0.04}$

$D=24.7725$

$M=\frac{\text{Amount}}{\text{Discount factor}}$

$M=\frac{40000}{24.7725}$

$M=1614.69$

Half of the monthly payment is $807.345

Payment for 10 years is $807.345\times 120=96881.4$

The balance is $96881.4-$40000=$56881.4

Therefore, The balance be after he has made exactly half of his monthly payments is $56881.4.

3 0

3 years ago

Read 2 more answers

George drives at 45mi/h. write two expressions for the number of miles George travels in h hours

GaryK [48]

45h=miles in h hours

7 0

3 years ago

Read 2 more answers

Matthew is 5 years older than twice the age of his sister. If Matthew is 13, how old is his sister? 3 4 9 31

Zepler [3.9K]

Answer:

4

Step-by-step explanation:

first take away the 5 years (13-5=8)

then divide it by 2 (8÷2=4

4 0

3 years ago

How can I use the golden ratio? Need this answer, stop putting false please.

natulia [17]

Hey, this is photography right?

Step 1: Evaluate the scene

Exactly how you use the golden ratio depends on the scene in front of you. Composition techniques are there to help you think about the scene instead of just pointing and shooting.

Step 2: Determine whether to use the golden ratio or the golden spiral (or even the Rule of Thirds)

Next, choose between the golden spiral and the phi grid. You can’t contort a straight object to fit inside a spiral, so if your scene has great leading lines, try the phi grid.

Step 3: Imagine the overlay and shoot

Imagining a complex spiral aligned over your photo can be tricky at first. If you simplify the concept, it’s a bit easier to manage.

First, check and see which grid overlays your camera has built-in by viewing the options in settings. If your camera has a phi grid or spiral option, turn that feature on. Most will have the Rule of Thirds. Even when that isn’t the composition guide you are using, it’s helpful to enable that feature.

Step 4: Edit

Picturing the phi grid or golden ratio spiral as you shoot is one thing, but what if you want that exact 1.618 magic number? Thankfully Photoshop (and several other photo editors) have tools for that.

Hope this helped!

7 0

3 years ago