In Spencer’s garden, the number of rose bushes is 7 less than 1.5 times the number of carnation bushes. If the number of carnati
2 answers:
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Using it's formula, it is found that the monthly payment should be of $688.49 in order to pay off the debt in 15 years.
<h3>What is the monthly payment formula?</h3>It is given by:
In which:
- P is the initial amount.
- r is the interest rate.
- n is the number of payments.
For this problem, the parameters are given as follows:
A = 90000, r = 0.045, n = 15 x 12 = 180.
Hence:
r/12 = 0.045/12 = 0.00375.
Then we solve for A to find the monthly payment, as follows.
A = $688.49
More can be learned about the monthly payment formula at brainly.com/question/22846480
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Answer:
Step-by-step explanation:
We want to find the value of x that satisfies both
- 9x + 4y = 8
and
-3x-y= 4
given the same value of y.
This is the x-value of the point of intersection of the graph of the two lines.
We make y the subject of the bottom equation to get:
y=-3x-4
We substitute y=-3x-4 into the top equation to get:
-9x+4(-3x-4)=8
Expand to get:
-9x-12x-16=8
Group like terms
-21x=24
Answer:
Distance from the base of the escalator to the point on the first floor directly below the top of the escalator = 27.5 feet
Step-by-step explanation:
Given:
Length of escalator = 30 feet
Distance between the floors = 12 feet
To find the distance from base of escalator to the point on the first floor directly below the top of the escalator we will create the figure for the situation.
From the figure we see that a triangle ABC is formed.
We see that the Δ ABC is a right triangle.
Applying Pythagorean theorem for right triangle ABC to find the missing side.
AB = 30 feet
BC = 12 feet
Plugging in values in the theorem.
Solving for AC.
Subtracting both sides by 144.
Taking square root both sides.
∴ feet.
∴ Distance from the base of the escalator to the point on the first floor directly below the top of the escalator = 27.5 feet
