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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Answer:
The interior of the triangle are congruent as they are equal in size at point at point l, k, m proof is the line of symmetry shows a 4 way rotation.
We know from how the line represents 2 triangles that equally make an equal sided square should we draw lines
For the g, h, i, j to show a 4 way rotation- should we draw 2 more triangles.
The second shape has congruent angles as the rotation is 2 and angles shown indicate the symmetrical value as midway point are the same also. So while all 3 sets of the second angles are congruent if we make a square shape 8/8 angles have the same degree as one another as there will be 4 triangles in shape 1 and shape 2.
Whilst the rotation is less, this is simply as the base is on the outside and sides are the same- creating a wider perimeter as it enlarges the shape. this may confuse but to prove again we can compare a rotation to equal curve triangles folded within a regular circle shape or just like the first example create 4 triangles and draw 2 lines of symmetry. just like folding a regular square. For full flip rotation within a shape we have found side length is not equal but angles must be 3 of the same for 2 way rotation within a larger shape and 3 equal angles with longer length for rotation within its first found square shape.
Step-by-step explanation:
Answer:
Both are congruent
Step-by-step explanation:
7. SSS congruence
KN=KM ........Side
KI=MI ........Side
LN is a common side
Thus by SSS congruence both triangles are congruent
8. ASA congruence
angles PRO=TRS ..........vertically opposite angles are equal
angles POR=RTS ..........given to be equal in the question
angle OPR=180-PRO-POR ...angle sum property of triangle
angle RST=180-RTS-TRS ......angle sum property of triangle
so OPR=RST as PRO=TRS and POR=RTS
line PO=TS .......given in question
so
OPR=RTS ...........angle
line PO=TS .........side
POR=RTS ...........angle
Thus by ASA congruence both triangles are congruent
log2x + log(2x - 1) = log3x
Answer:
x = 5/4
Step-by-step explanation:
1. cancel x for log 3x and 2x
2. multiply log 2x-1 by log 2
3.simplify to log 4x-2 = log3
4.logs will cancel out and leave you with 4x-2 = 3
5. solve and get 5/4
Answer:
x = 5/4
Step-by-step explanation: