each month, how long will it take him to pay off his mortgage?
A. 217 months
B. 197 months
c. 177 months
D. 222 months
Answer: 177 months
Step-by-step explanation:
Answer: 177 months
Step-by-step explanation:
Hey there!
First, set up an exponential equation that represents the rate at which your original amount, 1000, gains interest:
y = 1000(1.24)^x
Y represents the value after X years. 1.24 represents the rate at which the money gains interest, 1 + 0.24 (your 24% interest rate in decimal form). 1000 is your original amount.
Now, set this equation equal to 64000, graph y = 64000 and y = 1000(1.24)^x on a graphing calculator, and see where the two equations intersect in order to solve for x.
They intersect when x is about 19.334, as seen in the graph below (it is very zoomed in so that you can see where the two functions intersect). Therefore, it will be about 19 years after the year in which you deposited the 1000 dollars before the money is worth 64000 dollars.
Answer:
40 feet of the wall will be covered.
Step-by-step explanation:
A row of plaques cover an area of 120 square feet of space on the wall.
Height of the plaques is 3 feet then we have to tell the length of the wall that will be covered.
Area of the wall covered by plaques = Length of Plaques × width of the plaques
120 = length × 3
length = 120 ÷ 3 = 40 feet.
Therefore plaques will cover 40 feet of the wall.
To find the value of x in the given context of parallellines intersected by a transversal, we need to consider the properties of parallel lines such as corresponding angles being equal, alternate interior angles being equal, and interior angles on the same side of the transversal being supplementary. The actual numeric value of x however cannot be determined without knowing the values of other angles in the diagram or seeing the diagram itself.
Based on the information provided, if line p is parallel to line f and line t intersects both, we need to consider the properties of parallel lines intersected by a transversal to find the value of x. According to this concept, corresponding angles are equal, alternate interior angles are equal, and interior angles on the same side of the transversal are supplementary (their sum is 180 degrees).
In the diagrams, if the angle's measure associated with variable 'x' is a corresponding angle or alternate interior angle with a known angle, then x is equal to that known angle. If the 'x' is related to an unknown angle which forms an interior angle on the same side of the transversal with a known angle, then x = 180 - the known angle, due to the interior angles' supplementary property on the same side of transversal.
However, without the specific diagram or the values of the other angles, it is impossible to provide a definite numeric value for x.
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