Answer:
Area = 114
Step-by-step explanation:
We first must find the area of the larger outside rectangle.
Area = length × width
15 × 8 = 120
Then we find the area of the smaller inside rectangle.
4 × 1.5 = 6
Since the small rectangle is not shaded we have to subtract its area from the larger shaded rectangle's area.
120 - 6 = 114
Given
The equation,
9x - 5y = 29.
To find the value of y when x is 1.
Explanation:
It is given that,

That implies,
When x=1,

Hence, the value of y is -4.
Answer:-7v+21
Step-by-step explanation:
You use the distributive property to get your answer and two negatives gives you a positive
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:
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If he starts paying after four years, the worth of the loans by then is b. $31,616.16
<h3>What is a Loan?</h3>
This refers to the amount collected from a lender to be repaid after a given time, usually with added interest.
Hence, we can see that:
The effective monthly interest rate is:
i = 0.053/12 = 0.0044
The effective annual interest rate is:
i = (1 + 0.0044)^12 -1 = 0.0543
The present worth of all the loans is:
P = 6125 + 6125 (1 + 0.0543)^-1 + 6125 (1 + 0.0543)^-2 + 6125(1 + 0.0543)^-3
P = $22,671.40
If he pays them prompty, then the total lifetime cost would be
P = 22671.40 (1 + 0.0543)^4 = $31,616.16
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