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kirza4 [7]
3 years ago
14

a rug is shaped like a rectangle whose perimeter is 204ft. the length is 5 time as long as the width. Find the length and the wi

dth.
Mathematics
1 answer:
seraphim [82]3 years ago
3 0
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Tyler's mom purchased a savings bond for Tyler. The value of the savings bond increases by 4% each year. One year after it was p
Gemiola [76]

Answer:

The value of the bond when Tyler's mom purchased it was $150

Step-by-step explanation:

we know that

In this problem we have a exponential function of the form

f(x)=a(b)^{x}

where

a is the initial value (y-intercept)

b is the base

r is the rate

b=(1+r)

In this problem

r=4%=4/100=0.04

b=1+0.04=1.04

substitute

f(x)=a(1.04)^{x}

where

x is the number of years since the savings bond was purchased

f(x) is the value of the savings bond

For x=1

f(x)=$156

substitute

156=a(1.04)^{1}

Solve for a

156=a(1.04)

a=\$150

therefore

The value of the bond when Tyler's mom purchased it was $150

8 0
3 years ago
Write an equation in slope-intercept form for the line with slope 8 and y-intercept -9
horsena [70]
Y=8x-9

Hopefully that looks right
5 0
3 years ago
396= (16+2x) x (12+2x)
balu736 [363]

Answer:

X= 3 or x=-17

Step-by-step explanation:

1. Simplify both sides of the equation

2. Subtract 4X to the second power +56X +192 from both sides

3. Factors the left side of the equation

4. Set factors equal to zero

8 0
3 years ago
The base of a rectangle is 6cm longer than its height. The area of a rectangle is 91cm squared. What is the perimeter of the rec
r-ruslan [8.4K]

Width = 7cm

Length = 13cm

<u>Explanation:</u>

Area of rectangle =  91cm^{2}

Let width of the rectangle = b ,  

So, length = b+6

Area of rectangle = (length X width) - eqn 1

Putting the value of length and width in above equation 1,

91cm^{2} = b  (b+6)\\91 = b^{2}+6b\\b^{2} + 6b-91 = 0\\

On solving the quadratic equation we get,

b = 7cm

So, width (b) = 7cm

and length = 7+6

l = 13cm

Hence,  

Width = 7cm

Length = 13cm

6 0
3 years ago
A university's freshman class has 5000 students. 90% of those
exis [7]

Answer:

4,500

Step-by-step explanation:

To find the number of students majoring in economics, you must turn 90% into a decimal making it .9.

Then you multiply the decimal to how many students there are (5000x.9) and that gives you 4,500.

4 0
3 years ago
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