Answer:
![\boxed {\boxed {\sf \$ 100.00}}](https://tex.z-dn.net/?f=%5Cboxed%20%7B%5Cboxed%20%7B%5Csf%20%5C%24%20100.00%7D%7D)
Step-by-step explanation:
The formula for simple interest is
![I=prt](https://tex.z-dn.net/?f=I%3Dprt)
where <em>p</em> is the principal, <em>r </em>is the rate, and <em>t</em> is the time.
The principal, or initial amount is $800 and the time is 5 years The interest rate is 2.5%, but we must convert to a decimal.
Divide by 100 or move the decimal place two spots to the left.
- 2.5/100=0.025 or 2.5 ⇒ 0.25 ⇒ 0.025
Substitute the known values into the formula.
![p= 800 \\r= 0.025 \\t= 5](https://tex.z-dn.net/?f=p%3D%20800%20%5C%5Cr%3D%200.025%20%5C%5Ct%3D%205)
![I= (800)(0.025)(5)](https://tex.z-dn.net/?f=I%3D%20%28800%29%280.025%29%285%29)
Multiply.
![I=20(5)\\I=100](https://tex.z-dn.net/?f=I%3D20%285%29%5C%5CI%3D100)
After 5 years, Suzette's account has earned $100.00
The perimeters of both are equal.
The side of the square is 12.
Therefore, its area equals to : 12² = 144
The rectangle base is 19.
Because it has the same perimeter as the square's, so rectangle perimeter is : 19 + 19 + side + side = 12 + 12 + 12 + 12
= 38 + 2side = 48
= 2side = 48 - 38
= side of rectangle = 5
Therefore, its area is 19 x 5 = 95
If you subtract it from the area of the square, you will get : 144 - 95 = 49.
So the answer is : the area of the square is 49 units largee than the area of the square (C)
Answer:
- a) P(x) = 32000*1.04^x
- b) $37435
- c) During year 7
Step-by-step explanation:
<u>Given</u>
- Initial pay = $32000
- Increase rate = 4%
a. <u>Formula</u>
b. Year 5 is after 4 years, so we are looking for the value of P(4)
- P(4) = $32000*1.04^4 = $37435
c. <u>P(x) = 40000, x = ?</u>
- 40000 = 32000*1.04^x
- 1.04^x = 40000/32000
- 1.04^x = 1.25
- log 1.04^x = log 1.25
- x = log 1.25 / log 1.04
- x = 5.69, this is 6 years after
The required number of the years is 6 + 1 = 7
The situation that is defined by the linear equation P = 40 + 22t is "The initial amount is 40 and the rate of change is 22".
<h3>What is a linear equation?</h3>
Given:
P = 40 + 22t
where,
- P = total price
- 40 = initial amount
- 22 = rate of change
- t = number of rate of change
So,
if t = 3
P = 40 + 22t
= 40 + 22(3)
= 40 + 66
P = 106
Therefore, the initial amount is 40 and the rate of change is 22 describes the linear equation P = 40 + 22t
Learn more about linear equation:
brainly.com/question/14323743