Help, please???? This work is hard...

formula used : [tex]\sf A = P(1 + \dfrac{r}{n})^{nt}[/tex]

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✔A) A 2-year loan with a 4.75% interest rate compounded annually.

[tex]\hookrightarrow \sf A = 10,000 (1 + \dfrac{4.75\%}{1})^{(1)(2)}[/tex]

[tex]\hookrightarrow \sf A = \$10,972.56[/tex]

B) A 3-year loan with a 4.00% interest rate compounded annually.

[tex]\hookrightarrow \sf A = 10,000 (1 + \dfrac{4.00\%}{1})^{(1)(3)}[/tex]

[tex]\hookrightarrow \sf A = \$11248.64[/tex]

C) A 4-year loan with a 3.75% interest rate compounded annually.

[tex]\hookrightarrow \sf A = 10,000 (1 + \dfrac{3.75\%}{1})^{(1)(4)}[/tex]

[tex]\hookrightarrow \sf A = \$11586.50415[/tex]

D) A 5-year loan with a 3.00% interest rate compounded annually.

[tex]\hookrightarrow \sf A = 10,000 (1 + \dfrac{3.00\%}{1})^{(1)(5)}[/tex]

[tex]\hookrightarrow \sf A = \$ 11592.74074[/tex]

Thus loan of 2-year loan with a 4.75% interest which is compounded annually will allow him to pay the least interest of only $972.56.

The least interest is 972.56 dollars. Then he has to select a 2-year loan with a 4.75% interest rate compounded annually.

Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.

We know that the formula for the amount will be

[tex]A = P (1 + r) ^t[/tex]

A = Amount

P = Loan amount

r = rate of interest

t = time

The interest is given as

Interest = A - P

Charles needs a $10,000 loan in order to buy a car.

A) A 2-year loan with a 4.75% interest rate compounded annually. Then the amount will be

[tex]\rm A = 10000(1.0475)^2\\\\A = 10972.56[/tex]

Then the interest will be

Interest = 10972.56 - 10000

Interest = 972.56

The amount of interest is $972.56.

B) A 3-year loan with a 4.00% interest rate compounded annually.  Then the amount will be

[tex]\rm A = 10000(1.04)^3\\\\A = 11248.64[/tex]

Then the interest will be

Interest = 11248.64 - 10000

Interest = 1248.64

The amount of interest is $1248.64.

C) A 4-year loan with a 3.75% interest rate compounded annually.  Then the amount will be

[tex]\rm A = 10000(1.0375)^4\\\\A = 11586.50[/tex]

Then the interest will be

Interest = 11586.50 - 10000

Interest = 1586.50

The amount of interest is $1586.50.

D) A 5-year loan with a 3.00% interest rate compounded annually. Then the amount will be

[tex]\rm A = 10000(1.03)^5\\\\A = 11592.74[/tex]

Then the interest will be

Interest = 11592.74 - 10000

Interest = 1592.74

The amount of interest is $1592.74.

More about the compound interest link is given below.

https://brainly.com/question/25857212

Answer:

10

Step-by-step explanation:

Because the greatest was 15 and the least was 5. So 15-5=10. Hope this helps <3

Answer:

12cm

Step-by-step explanation:

The formula to find the area of a trapezoid is A = [tex]\frac{a + b}{2}[/tex]h. We replace the "a" and "b" with 6cm. We then replace the "h" with 12cm as your height is 12cm. The new formula is A = [tex]\frac{a + b}{2}[/tex]h = [tex]\frac{6 + 6}{2}[/tex] x 12. The answer to that equation is 12cm.

Answer:

focus only on parallel lines which are A and B

angle 5 = angle 6

angle 4 = angle (4x+5)

angle 1 equals angle 3

angle 2 equals angle (3x+7)

notice pattern

look in your notes to see what these angles are called

see pattern?

another pattern......

on same side of parallel lines,

the angles equal same

so angle 3 = angle 6= angle (3x+7)

equals angle (4x+5)

and on left side of parrallel line with intersection ;line,... same concept all same

so if 4x +5 equals 3x+7...... what would be the next step?

stop and think... .... you can solve with those two equations

look above at statement with equals.... what math symbol do you replace with equals?   use algebra to solve

Step-by-step explanation:

Answer:

The answer is 63

Step-by-step explanation:

You multiply all of the numbers together getting you 189. You then divide that by three because is a pyramid that gets you 63.

-I hope that helps!

Answer:

Step-by-step explanation:

You can first reduce this fraction by dividing both the numerator and denominator by the Greatest Common Factor of 549 and 999. I know that

61/111

is the same as

61÷111

Then using

Long Division for 61 divided by 111

and rounding to a Max of 4 Decimal Places gives me

=0.5495/.5495

Answer:

The area of the square is x^2

The area of the triangle is x*height/2

The area of the rectangle is x*height of rectangle

X is the length of the square named C

You need to measure these yourself because we don't know whether these are to scale or not.

Step-by-step explanation:

Answer:

0.02

use BODMAS

⇒ 0.6 ÷ 30

⇒ (0.6 ÷ 3) ÷ 10

⇒ 0.2 ÷ 10

⇒ 0.02

Let's see

3×10=30

So

Answer:

the exact vaile is 5250.0128

Step-by-step explanation:

Answer: The answers will be in the photos.

Step-by-step explanation:

Hope this helps, and also my work might be little missy. :/

Answer:

3 cups

Step-by-step explanation:

2/12 = 1/6

1/6 * 3 = 3/18

3 out of 18 cups, so 3 cups.

Answer:

The difference in the populations of the cities when t=4 is 25,800.

Step-by-step explanation:

Given equations each of the city:

-150t+50,000

and

50t+75,000

To find the difference between the population when t=4, we first have to solve both equation when t=4.

For both equations, substitute 4 into t:

-150(4) + 50,000 = 49,400

50(4) + 75,000 = 75,200

Now subtract 49,400 from 75,200 and you get 25,800.

The difference in the populations of the cities when t=4 is 25,800.

Answer:

A

Step-by-step explanation:

X<Y means x is less than y-5 and you get A.

Answer:

x < y - 5

Step-by-step explanation:

"x is less than y minus 5

x < y - 5

Hope this helps!

Answer:

4:7

Step-by-step explanation:

Step-by-step explanation:

The value of x and y based on the percentages that are given will be 11 and 7.

How to calculate the percentage

Since x is 110% of 10. This will be;

= 110% × 10

x = 11

Since y% of 50 is 3.5. This will be:

y% × 50 = 3.5

y% = 3.5/50

0.01y = 3.5/50

y = 7

Therefore, it can be seen that value of x and y based on the percentages that are given will be 11 and 7.

Answer:

A

Step-by-step explanation:

two complementary that have the same measure angels always equals 90

Answer:

90 /180 /280

Step-by-step explanation:

Answer:

About 25%

Step-by-step explanation:

If there are 8 selections the there are two spins

the 2 is divided by eight giving you 0.25 convert that into 25 and add the percentile so 25%.

Sorry if this is wrong. If this is right pls give brainlest.

Answer:

(2x)/((x-3)(x+1))-(5)/((x-3)(x+4))

Answer:

2 by3

Step-by-step explanation:

Answer: 5 over 4

Because I noticed that the other 3 fractions are proper fractions but this one is improper so does not belong Because the numerator is bigger than the demonator. So it is improper and different and does not belong . PLEASE GIVE BRAINLIEST

Answer:

20

Step-by-step explanation:

So, both of those angles are equal to each other because they are congruent. So, we can set their equations equal to each other to find x.

Solve it like this:

3x + 50 = 6x - 10

-3x           -3x    (always subtracts the variables first (x), then the other numbers)

50 = 3x -10

+10        +10

60 = 3x

Then, divide both sides by the number next to the variable (3)

60/3 = 20, 3x/3 = x

So, you get:

20 = x

i did this too and i think it was (-3, 7)

Step-by-step explanation:

Answer: what’s the problem?

Step-by-step explanation: I can help if you want

Answer:

1/24 cm^3

Step-by-step explanation:

V = lwh

V = 1/3(1/2)(1/4)

V = 1/24 cm^3