Answer:
The length is 5 times the width
Step-by-step explanation:
Let
W ----> the width of the rectangle
L ----> the length of the rectangle
we know that
The area of rectangle is equal to
In this problem we have
----> equation A
----> equation B
substitute equation B in equation A
therefore
The length is 5 times the width
Answer: Opposites are the same distance from 0 as the number line in the opposite direction. The absolute value of any number is its distance from 0
Step-by-step explanation:
Answer: Yes, because they are similar triangles
Step-by-step explanation:
Let ABC be the right triangle with vertical side of 3 and a horizontal side of 7.
And, right angle at B,
Then, AB = 3, BC = 7 ⇒ AC = √58
Again let, DEF be the right triangle with vertical side of 9 and a horizontal side of 21.
And, right angle at E,
Then, DE = 9, EF = 21 ⇒ DF = 3√58
Thus, in triangles ABC and DEF,
Therefore,
By the property of similar triangles,
Since, in both triangles horizontal sides BC and EF are on X-axis,
Therefore,
The second one is correct
Answer:
Yes
explanation: they are similar triangles
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b) a^2 - 2
c) a^2 + 2a
d) a^2 + 2a - 2
To calculate interest over time, you need to use the compound interest formula because monthly deposits are being made. However, without more information on how frequently the interest was compounded, we can't find the exact total interest earned from a retirement plan with a 2.5% rate over 42 years with $520 monthly deposits.
The question asks how much interest was gained from investing in a retirement plan with a rate of 2.5% over 42 years. The total monthly deposits were $520. To calculate this, we need to use the simple interest formula which is I=PRT, where 'I' is the interest, 'P' is the principal amount (the initial investment), 'R' is the rate of interest, and 'T' is the period of time.
However, in this case, because the deposits were made monthly, this is not a simple interest problem but a compound interest problem. In such cases, the formula to calculate compound interest (which includes the initial investment amount and the interest earned) is A = P (1 + r/n) ^ nt, where:
As we don't have enough information to conclude the precise amount (e.g., whether the interest was compounded annually, quarterly, monthly, or daily), we can't calculate the exact value of the interest earned.
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