Answer:
Step-by-step explanation:
3/4 x 9/4 = 1.6875 or 27/16
Deposit $625 into a money market account with a 5% rate for 1 year would result in more money.
<h3>The interest rate of the bank</h3>
To do this, we make use of 1.50% interest rate
<h3>The exponential
growth equation</h3>
Here, we have:
Initial, a= 625
Rate, r = 1.5%
The exponential growth equation is
A(t) = a * (1 + r)^t
So, we have:
A(t) = 625 * (1 + 1.5%)^t
Evaluate
A(t) = 625 * 1.015^t
Hence, the exponential growth equation is A(t) = 625 * 1.015^t
<h3>The
value in 25 years</h3>
Here, t = 25.
So, we have:
A(25) = 625 * 1.015^25
Evaluate
A(25) = 906.84
Hence, the value in 25 years is $906.84
<h3>The investment with more money</h3>
<u>#Investment A</u>
a = 625
r = 1.5%
t = 5
So, we have:
A(5) = 625 * 1.015^5
Evaluate
A(5) = 673.3
<u>#Investment B</u>
a = 625
r = 5%
t = 1
So, we have:
A(1) = 625 * 1.5^1
Evaluate
A(1) = 937.5
By comparison, 937.5 is greater than 673.3
Hence, deposit $625 into a money market account with a 5% rate for 1 year would result in more money.
Read more about exponential growth equation at:
brainly.com/question/23729449
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Answer:
sin 33° = 0.545
Step-by-step explanation:
complementary angle to 57° is 33°
sin 33° = 0.545
Answer:
=
1
1
=
−
1
1
Step-by-step explanation:
You need to find a scale factor of dilation (probably contraction) to make the replica.
Given that the units of the original painting are centimeters and the units of the sheet of paper are in inches, you have to convert one of the units.
I choose to covert inches to centimeters.
To do that, use the conversion factor 1 = 2.54 cm / inch
=> 8.5 in * [2.54 cm/in] = 21.59 cm
=> 11 in * [2.54 cm/in] = 27.94 cm
Now determine the scale factor to convert 77 cm to 27.94 cm and 53 cm to 21.59 cm. That just require use of division operation:
77 / 27.94 = 2.76
53 / 21.59 = 2.45
Then the higher scale factor is the relevant one, and you have to reduce the original painting by a factor of (1 / 2.76) which will lead to fit in the sheet of paper.
