Kristen invested $1,800 in an account paying 6.5% simple interest. After 5 years, what is the balance of her account?

John, Johan, and Jonathan collect postage stamps. Johan and Jonathan have the same number of stamps. Two times Johan’s collectio

kati45 [8]

Let d = number of stamps from John (4 letters, d is 4th letter, etc)
Let e = number of stamps from Johan 
Let h = number of stamps from Jonathan 

Johan and Jonathan have the same number of stamps, so: 

e = h 

2 times Johan's collection is 11 less than 5 times John's collection, so: 

2e = 5d - 11 

3 times Jonathan's collection is 3 less than 7 times John's collection,so: 

3h = 7d - 3 

Now we have three equations and three unknowns. You're asked for the number of stamps in John's collection, so you want the value to variable "d". 

Since e = h, we can substitute "h" for "e" in the second equation. 

2h = 5d - 11 
3h = 7d - 3 

now we have two equations and two unknowns. I'll use elimination, starting with multiplying the first equation by -3 and the second one by 2. 

-6h = -15d + 33 
6h = 14d - 6 

now add both together and you have an equation with one unknown remaining: 

0 = -d + 27 
d = 27 

So your answer is 27 stamps. If you want to know how many stamps the others have, you can work back and solve for e and h.

7 0

4 years ago

Read 2 more answers

Peter uses the equation y = StartFraction 13 over 4 EndFraction x to model the number of miles that he has walked in x hours. Wh

Alla [95]

The statement C is true about the proportional relationship that is modeled by Peter’s equation. Peter walks at a rate of 13/4 miles per hour.

<h3>What is the equation?</h3>

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

The complete question is

"Peter uses the equation Y=13/4x to model the number of miles that he has walked in x hours. Which statement is true about the proportional relationship that is modeled by the peat there's the equation?

A: Peter walks a rate of 4/13 miles per hour.

B: Peter walks at a rate of 4 miles per hour.

C: Peter walks at a rate of 13/4 miles per hour.

D: Peter walks at a rate of 13 miles per hour."

Given equation;

Y=13/4x

Where,

y represents the number of miles

x is the time period

The equation shows Peter walks at a rate of 13/4 miles per hour.

Hence statement C is true about the proportional relationship that is modeled by Peter’s equation.

To learn more, about equations, refer;

brainly.com/question/10413253

#SPJ1

6 0

2 years ago

PLEASE HURRY add n to the product of 7 and 5

Mariulka [41]

Answer:

[See Below]

Step-by-step explanation:

Multiply 7 by 5.

*35

Now add n to it.

*35 + n

7 0

4 years ago

The area of the base of a rectangular prism is 32 1/ 2 cm2. The height of the prism is 8 cm. What is the volume of the prism? A)

Fiesta28 [93]

<h2>Math Question Answered. </h2><h2>100% Correct. C;</h2>

Answer:

1. What is the area of the green triangle?

A) 23 cm2

B) 30 cm2

C) 46 cm2

D) 65 cm2

Correct answer is : D) 260 cm3

Step-by-step explanation:

260cm3

V = (area of base)(height)

(32 1/

2 cm2) (8cm)

260 cm3

2. Answer:

What is the volume of the triangular prism?

A) 8 ft3

B) 12 ft3

C) 16 ft3

D) 24 ft3

Correct Answer is: A) 8 ft^3

Step-by-step explanation:

Volume = 1

/2 × base × height × length

Volume = 1

/2 × 4 × 4 × 1 = 8

3. Answer:

What is the surface area of the triangular prism?

A) 991 cm2

B) 1024 cm2

C) 1400 cm2

D) 1984 cm2

Correct answer: D) 1984 cm2

Step-by-step explanation:

SA = bh + (s1 + s2 + s3)H

SA = 24(16) + (24 + 20 + 20)25

SA = 384 + (64)(25)

SA = 384 + 1600

SA = 1984 cm2

Answer:

What is the area of the green triangle?

A) 23 cm2

B) 30 cm2

C) 46 cm2

D) 65 cm2

Correct Answer: D) 65 cm2

<h2>HOPE THIS HELPED YOU A-LOT </h2>

7 0

4 years ago

The radius of the semicircle in the following composite figure is 8.5 millimeters. What is the area of the semicircle rounded to

padilas [110]

You will find the area of the semicircle by finding the area of the circle with a radius of 8.5 mm and the dividing it by 2.

A = pi x r^2
3.14 x 8.5^2
A = 226.865 square mm
226.865/2
113.43

The approximate area of the semi circle is 113.43 mm².

3 0

4 years ago