Answer:
The compounded annually account will earn more interest over 10 years
Step-by-step explanation:
The rule of the simple interest is I = Prt, where
The rule of the compounded interest is A = P
, where
- n is the number of periods
The interest I = A - P
∵ Each account start with $200
∴ P = 200
∵ They have an interest rate of 5%
∴ r = 5% = 5 ÷ 100 = 0.05
∵ One account earns simple interest and the other is compounded
annually
∴ n = 1 ⇒ compounded annually
∵ The time is 10 years
∴ t = 10
→ Substitute these values in the two rules above
∵ I = 200(0.05)(10)
∴ I = 100
∴ The simple interest = $100
∵ I = A - P
∵ A = 200
∴ A = 325.7789254
∵ I = 325.7789254 - 200
∴ I = 125.7789254
∴ The compounded interest = $125.7789254
∵ The simple interest is $100
∵ The compounded interest is $125.7789254
∵ $125.7789254 > $100
∴ The compounded annually account will earn more interest
over 10 years
The mathematical sentence can be written as:
x^3 = y^5
<h3>
How to write the expression?</h3>
A number a to the power of n is written as:
a^n
Then:
"x to the power of 3 is equal to y to the power of 5"
Would be written as:
x^3 = y^5
Particularly, this does not appear in the given options, but this is the correct and simplest way of writing the given mathematical sentence.
If you want to learn more about expressions, you can read:
brainly.com/question/4344214
The answer should be 74% probability
35/50+5/50-3/50= 37/50->74%
The value of the a in the quadratic equation is 4.
According to the statement
we have given that the x = 1 and the given equation is (2x)^2=a
And we have to find the value of A here.
So, For this purpose, we know that the
A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared.
And the given quadratic equation is
(2x)^2 = a
we know that the x = 1 and put the value of x in it then
(2(1))^2= a
(2)^2= a
a = 4.
Now for rechecking of the value, put a = 4 in the given equation then
(2x)^2 = a
Put a = 4
Then
(2x)^2 = 4
2x = 2
And the value of x become
x = 1.
Which equal to the given value of the x which is 1.
So, The value of the a in the quadratic equation is 4.
Learn more about Quadratic equation here
brainly.com/question/1214333
#SPJ4
Answer:
d
Step-by-step explanation:
In all the answer choices, the distance between 0 and 1 is 10.
4/10 = 0.4
The only line that proves this is line d.
Hope this helps!
