5
A new business borrows $320,000 at a yearly simple interest rate of 7%. The total
amount the company repays for the loan and interest is $678,400. How long did it
take to pay off the loan?
Interest = (principal)(rate in decimal)(time in years)
1 = (p) (0) (t)
1. Read the word problem and circle and label the
interest, principal, rate, and time in years given in
the problem.
2. Underline the question(s)
3. Make any conversions needed for example:
a. Percent into decimals
b.
Months into years
4. Write down the simple interest formula
5 Plug in the known variables into the interest formula
6. Solve for the unknown
7. Answer the questions using complete sentences
and question stem

Answer:

1024pi/3

Step-by-step explanation:

to find the volume of a sphere you use the equation 4/3*pi*r^3

4/3*pi*8^3

4/3*pi*512

2048/3 pi

This is the volume of the whole sphere but we only need half so we can just divide by 2.

(2048/3 pi)/2

1024/3 pi

Answer:

15 sq cm

Step-by-step explanation:

Let 3x = area of 1st rectangle

7x = area of 2nd rectangle

8x = area of 3rd rectangle

(3x + 7x + 8x)/3 = 18

3x + 7x + 8x = 54

18x = 54

x = 3

3x = 3(3) = 9 = area of 1st rectangle (smallest)

8x = 8(3) = 24 = area of 3rd rectangle (biggest)

24 - 9 = 15 sq cm

Answer:

fr.ee points for base brain.liest if you translate this.

Step-by-step explanation:

ok

Answer:

fr.ee points for base brain.liest if you translate this.

Step-by-step explanation:

Me smurt

Answer:

Distance between mall and library is 6.32 miles.

Step-by-step explanation:

Coordinates of the door to the library is at (2, 4) and door to the mall is at (8, 4).

Since, distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

By this formula,

Distance between (2, 4) and (8, 4) will be,

Distance = [tex]\sqrt{(8-2)^2+(2-4)^2}[/tex]

               = [tex]\sqrt{36+4}[/tex]

               =  [tex]\sqrt{40}[/tex]

               = 6.32 miles

Answer:

the answer for this problem is x^2+2x-15

Step-by-step explanation:

(x+5)(x-3)

x(x-3)+5(x-3)

x^2-3x+5(x-3)

x^2-3x+5x-15

=x^2+2x-15

Answer:

Step-by-step explanation:

4.)

x-4

5.)

Eucardo's collection of butterflies: 12+2x

Answer:

B.

–80, –110

Step-by-step explanation:

-80 and -110

It is an arithmetic sequence. The difference = -30. It is the difference between each number in the sequence: 10-40=-30

-50-30=-80

-80-30 =-110

-80

First Identify the sequence being made here.

10-40 = -30

-20-10 = -30

-50-(-20) = -30

Therefor this pattern is decreasing by a rate of 30 so to continue this, just subtract 30 from -50.

-50-30 = -80

The next term is -80.

Hope I helped!

Answer:

m= 10,000(1+.05)^t

Step-by-step explanation:

hope this helps:)

Answer: The correct answer is B. 523.3...cm^3

Step-by-step explanation:

4/3*pi*r^3 is the formula

first, divide the diameter by 2 to get the radius, now, you will begin solving.

4/3*5^3*3.14

5*5*5=125

4/3*125*3.14

125*3.14=392.5

4/3*392.5

523.3...

Answer:

(3 × 10^4 ) + (6 × 10^-2)

30000+6/100

(3000000+6)/100=3000006/100=30000.06

Answer:

11

Step-by-step explanation:

2 times 6 is 12 minus 1 is 11

Input interpretation:

2 x - 1 where x = 6

Result:

11

Answer:

Step-by-step explanation:

10 times 10 times 60 = 6000

6000 - (1600 + 2000) = 2,400

Answer:

7200 [tex]in^3[/tex]

Step-by-step explanation:

volume of the bottom + volume of the middle part + volume of the top part (I'm sorry this is so vague T-T)

[tex](8*60*10)+(2*40*10)+(8*20*10)= 4800+800+1600=7200[/tex]

Answer:

72

Step-by-step explanation:

Answer:

h = 6

Step-by-step explanation:

Area of a trapezoid formula:

[tex]A=\frac{a+b}{2} *h\\\\h=2*\frac{A}{a+b}[/tex]

Given:

A = 48

a = 4

b = 12

Work:

[tex]h=2*\frac{A}{a+b} \\\\h=2*\frac{48}{12+4} \\\\h=2*\frac{48}{16}\\\\h=2*3\\h=6[/tex]

Answer:

I'll help you if I can, what is your question? Comment it and I'll try to help.

Step-by-step explanation:

Answer:

A 57.6

Step-by-step explanation:

I took the quiz

Answer:a

Step-by-step explanation:

Answer:

1/8 to the power of 3

Step-by-step explanation:

its 1/2 length x 1/2 width x 1/2 height

Answer:

10.5.

Step-by-step explanation:

By similar  triangles:

IJ / 21 = 8 /(8+8) = 1/2

IJ / 21 = 1/2

IJ = 1/2 * 21

= 10.5.

Answer:

A = 20 degrees

Step-by-step explanation:

Both legs of the triangles are 2x and equal, so we know that the triangle is isoceles. That means both acute angles are equal as well.

In a triangle there are 180 degrees

180 - 140 = 40

40 remainding degrees/ 2 equal angles

A = 20 degrees

Answer:

angle a = 20

Step-by-step explanation:

So like the person above me said

180-140=40

40 divided by 2 is 20

(I don't know if I can delete answers so I just fixed this one)

Sorry about that, here's the answers.

1. expanded form

2. regroup

3.  place value

4. A, C, D. The strategy I used was place value and regrouping. I chose these by using place value to help me understand how to regroup and what each option would sum to.

5. D. Ten thousands place

Answer:

1. Expanded form

2. Regroup

3. Place value

4. A, C, D,

C is correct because a one is equal to 1.

1 x 4,200 = 4,200. Therefore 4,200 ones is equal to 4,200. D is correct because a ten is equal to 10. 10 x 420 = 4,200. Therefore, 420 tens is equal to 4,200. A is the same as the rest but with hundreds.

5. A

Step-by-step explanation:

1. Expanded form refers to when a number is separated by place values. Like 555,555 being turned into 500,000 + 50,000 + 5,000 + 500 + 50 + 5.

2. Regrouping is separating number by places values to do an equation like subtraction. For example, 5 tens - two ones.

3. Place values refers to a digit in a number like the 1 in 2,134 is in the hundreds place and the 5 in 5,677 is the thousands place.

4. My answer explains it.

5. A is correct as the 2 in 321,705 is 20,000 while the 2 in 32,571 is 2,000. 20,000 is 10 times larger than 2,000. So the answer is 10.

Answer:

$265.27

Step-by-step explanation:

Aaron invested $7,000 in an account paying an interest rate of 3 5/8 compounded continuously. Mia invested $7,000 in an account paying an interest rate of 3 3/4% compounded monthly. After 17 years , how much more money would Mia have in her account than aaron, to the nearest dollar?

Aaron:

A = Pe^rt

r = 3 5/8%

r = 3.625/100

r = 0.03625 rate per year

A = Pe^rt

A = 7,000(2.71828)^(0.03625)(17)

= 7,000(2.71828)^0.61625

= 7,000(1.8519693482716)

A = $12,963.79

Mia:

A = P(1 + r/n)^nt

r = 3 3/4%

r = 3.75/100

r = 0.0375 rate per year

A = P(1 + r/n)^nt

A = 7,000(1 + 0.0375/12)^(12)(17)

A = 7,000(1 + 0.003125)^(204)

A = 7,000(1.003125)^204

A = 7,000(1.8898660935607)

A = $13,229.06

Difference between Mia and Aaron account

Mia - Aaron = $13,229.06 - $12,963.79

= $265.27

Answer:

19.1

Step-by-step explanation:

Pythagorean theorem: a^2+b^2=c^2

4^2+7^2=c^2

16+49=c^2

C^2=65

c=hypotenuse =root 65

Perimeter =7+4+root65=19.1ft

Answer:

70

Step-by-step explanation:

Your sister's job requires a lot of traveling. Last week, she drove a different distance each day: 135, 150, 86, 54, and 105 miles. Find the first quartile of the set of distances.

We rearrange the terms

54, 86, 105, 135, 150

First Quartile formula =

1/4 (n + 1)th term

Answer:

85 m.

Step-by-step explanation:

Use Pythagoras Theorem:

x^2 = 51^2 + 68^2

=  7225

x = √7225

= 85

Answer:

1/9 = 3^-2

1/8 = 2^-3

9 = 3²

8 = 2³

ANS

9 quarters and 5 dimes