I take out a loan for $120,000 at a 5% interest rate. After how many years will I owe $54,000 in interest?

Answer:

Whole

Step-by-step explanation:

1,2,3 are all whole numbers

Answer:

the remaining money is $1189.22

Step-by-step explanation:

Answer:

Area = 64 cm² ; Perimeter = 32 cm

Step-by-step explanation:

Since we know that the side lengths of a square are all equal, this means that all 4 square lengths are 8 cm. Knowing that, we could simply square one of the side lengths to find the area:

8² = 64 cm²

To find the perimeter, just add all the side lengths. There are four sides to a square so we can just multiply the side length by 4:

8 · 4 = 32 cm

Answer:

Step-by-step explanation:

the perimeter P=2(L+W)=54

P=2L+2W=54 OR L+W=27

we know that L=3W+3

P=3W+W=27-3

4W=24

W=6 CM

L=21CM

Answer:

C

Step-by-step explanation:

∠ 4 and ∠ 8 are corresponding angles

Each is in the same position (the lower left angle ) in its group of 4 angles.

Answer:

816 videos

Step-by-step explanation:

The computation of the total videos rented is as follows:

= Monday + tuesday + wednesday + thursday + friday + saturday + sunday + monday

= 130 + 124 + 80 + 74 + 130 + 124 + 80 + 74

= 816 videos

Here we assume that the question asked for total number of days i.e. 8 days

So according to that we calculate it

Answer:

It's 0

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Multiply 70 * 0.4

Answer:

28

Step-by-step explanation:

half of 70- 10% of that

Answer:  [tex]5n + 10d \ge 100[/tex]

===============================================

Explanation:

5n represents the value of all the nickels, where n is the number of nickels. Let's say he had 8 nickels. This would mean 5n = 5*8 = 40 cents is from just the nickels.

The 10d represents the value of all the dimes. For example, if he had d = 2 dimes, then he has 20 cents from those dimes because 10d = 10*2 = 20.

Combining the two expressions leads to 5n+10d as the total value of both types of coins. This total value is in cents. We want this value to be 100 cents or more. This is why we set 5n+10d to be greater than or equal to 100. That's how we arrive to [tex]5n+10d \ge 100[/tex]

Optionally we can divide each term by 5 to get [tex]n + 2d \ge 20[/tex] ,but I'll put the other inequality as the answer because it seems more descriptive in my opinion. Keeping 5n shows each nickel is 5 cents, and 10d shows each dime is 10 cents. Something like n+2d loses a bit of its descriptive nature.

The inequality for the given situation is 5n+10d≥100.

Given that, Matthew has n nickels and d dimes. He has a minimum of $1 worth of coins altogether.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

We know that,

A nickel is worth 5 cents. A dime is worth 10 cents. A dollar is worth 100 cents.

Now, the inequality 5n+10d≥100

Therefore, the inequality for the given situation is 5n+10d≥100.

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Answer:

likley

Step-by-step explanation: edge 2021 on the quiz for me its question 6

Answer:

C. likely

Step-by-step explanation:

It is likely because if the bag holds red and green grapes then its not impossible to get a green grape because there are green grapes in the bag. It is not unlikly because there are 11/15 green grapes there, so there are more green grapes than red. But its still not certain that you will get a green grape, remember there are still quite a few red grapes too! So you would likely get a green grape.

I hope this helps!

Answer: 3

Step-by-step explanation:

Answer:

slope = - 4

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 3 = - 4(x - 5) ← is in point- slope form

with slope m = - 4

Answer:

-4

Step-by-step explanation:

First express it in the form of y=mx+b where m is the slope and b is the y-intercept

y-3=-4x+20

y=-4x+20+3

y=-4x+23 then m=-4 which is the slope

Answer:

1/4

Step-by-step explanation:

Answer:

Thus, 1/4 is the simplified fraction for 25/100 by using the GCD or HCF method. Thus, 1/4 is the simplified fraction for 25/100 by using the prime factorization method.

Answer:

18;1,2,3,6,9,18

24;1,2,3,4,6,8,24

com;1,2,3,6,

Step-by-step explanation:

Answer:

"Y" will be at ( 7 , 8 )

Step-by-step explanation:

"R" is moved up 4, to the right 1.

Doing this to "Y" leads to the answer.

Answer:I’m not able to see your Image

Step-by-step explanation:

Answer:

7(4) - (10+18)

28 - 28

0

Step-by-step explanation:

Step-by-step explanation:

okay, 7 (n) if n = 4 that means 7 times 4 so that equals 28 BUT we do (m + 18) first so if m= 10 that means (10 + 18) would be 28, so

28 - 28= 0

Answer:

(1.135)^[tex]^1/12[/tex]

Step-by-step explanation:

The monthly interest rate is 1.125%

What is rate of change?

The rate of change of a function is the rate at which the output values change over the input value.

The rate of change of a function is one degree less than the actual function.

Here, it is given that :

a credit card company charges 13.5% yearly interest

therefore, to find the rate of interest charged per month divide 13.5% with 12 :

rate of interest charged per month = 13.5%/12

rate of interest charged per month = 1.125%

Therefore, the monthly interest rate is 1.125%

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Answer:

x=11

Step-by-step explanation:

2x + 40 = 62

      -40   -40

2x= 22

/2     /2

x=11

Answer:

c

Step-by-step explanation:

First, I'll isolate the x in x+4y=5 to match with the other equation.

The new equation would be x= -4y+5

Next, we will multiply one equation by 3 and the other by -1 for both to match with the other.

-1(-12y + 15 = 3x )

3(-4y + 5 = x)

The new equations would be :

12y - 15 = -3x

-12y + 15 = 3x

Add the equations and you get

0 = 0

The equation has an infinite amount of solutions

Answer:

[Left question]

A to C = 0.9

[Right question]

-1/3 > -5.4

___________

Explanation:

For the question on the left:

The number line counts by 0.3 every time. For each value in front of -0.5, just add 0.3 and that will be the next value.

For the question on the right:

-1/3 > -5.4 , because negative numbers closer to zero are bigger.

Answer:

Step-by-step explanation:

Here you go mate

Step 1

12x-19=9x+5  Equation/Question

Step 2

12x-19=9x+5  Simplify

12x-19=9x+5

Step 3

12x-19=9x+5  Subtract 9x

3x-19=5

Step 4

3x-19=5  add 19

3x=24

Step 5

3x=24  Divide by 3

answer

x=8

Hope this helps

Answer:

a) 26.3% b) 58.5%

Step-by-step explanation:

(5/19) * 100 = 26.3

(72/123) * 100 = 58.5

Answer:

The answer should be -5.

Step-by-step explanation:

Remember that if there are two negative signs next to each other then it will turn into a positive sign, in which you get the equation -9 + 4.  Your answer should be -5 when you add 4 from -9.

Answer:

a)  [tex]AE=4\sqrt{3}[/tex]

b) [tex]A_s=16(4\sqrt{3}-\pi)\ cm^2[/tex]

Step-by-step explanation:

Lines in a Circle

(a)

Points AEO form a right triangle, which hypotenuse is the radius of the larger circle (8 cm) and one of its legs is the radius of the smaller circle (4 cm).

Thus, the distance AE is calculated by using the Pythagora's Theorem:

[tex]AE^2=8^2-4^2[/tex]

[tex]AE^2=64-16=48[/tex]

[tex]AE=\sqrt{48}[/tex]

Since 48=16*3:

[tex]AE=\sqrt{16}\sqrt{3}[/tex]

[tex]\boxed{AE=4\sqrt{3}}[/tex]

(b)

The shaded area is the area of the rectangle ABCD minus the area of the smaller circle:

[tex]A_s=A_r-A_c[/tex]

The rectangle has a length of twice AE:

[tex]L=8\sqrt{3}\ cm[/tex]

And a width equal to the diameter of the smaller circle:

[tex]W=8\ cm[/tex]

The area of the rectangle is:

[tex]A_r=8\sqrt{3}\ cm*8\ cm[/tex]

[tex]A_r=64\sqrt{3}\ cm^2[/tex]

The area of the smaller circle is:

[tex]A_c=\pi\ r^2[/tex]

[tex]A_c=\pi\ 4^2\ cm^2[/tex]

[tex]A_c=16\pi\ cm^2[/tex]

Thus, the shaded area is:

[tex]A_s=(64\sqrt{3}-16\pi)\ cm^2[/tex]

Factoring:

[tex]\boxed{A_s=16(4\sqrt{3}-\pi)\ cm^2}[/tex]

a. the length of AE is: 6.9 cm

b. the shaded area is: 60.13 sq. cm.

Recall:

a. Find AE:

Considering right triangle AOE, apply the Pythagorean Theorem to find AE, given that,

EO = 4 cm

AO = 8 cm

Thus:

AE = √(AO² - EO²)

AE = √(8² - 4²)

AE = 6.9 cm

b. Shaded Area = Area of rectangle - area of circle

Area of rectangle = length × width = 2(6.9) × 2(4) = 110.4 sq. cm

Area of circle = π(4)² = 50.27 sq. cm

Shaded Area = 110.4 - 50.27 = 60.13 sq. cm.

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Answer:

Step-by-step explanation:

We have,

55 + 35

To find, the distributive property to factor out the greatest common factor,

55 + 35 = ?

We know that,

The distributive property of multiplycation,

The factors of 55 = 1, 5, 11 and 55 and

The factors of 35 = 1, 5, 7 and 35

The greatest common factor of 55 and 35 = 5

Using distributive property of multiplycation,

The greatest common factor = 5

Hence, the greatest common factor of 55 and 35 is .

Answer:

formula: a squared + b squared= c squared

6 squared+ 8 squared= c squared

36+64= c squared

100= c squared

Square root both sides

You get 10= c

Answer:

eqaution 1: Proportinal

eqaution 2:Proportinal

Step-by-step explanation: