Question

name: arms - quarter 1 week homework week #4 of 9.15.2025 - 9.19.2025 monday 9.15 solve the following problems without a calculator. you m (7.sp.7) lorenzo has $500 in a savings account. the interest rate is 10% per year and is compounded. how much interest will he earn in 2 years? (8.g.1) what single transformation was applied to triangle a to get triangle b? translation rotation reflection dilation homework - t solve the following problems without a calculator. y (8.g.2)

Explanation:

Step 1: Recall compound - interest formula

The compound - interest formula is $A = P(1 + r)^t$, where $P$ is the principal amount, $r$ is the annual interest rate (in decimal form), and $t$ is the number of years. Here, $P=\$500$, $r = 0.1$ (since $10\%=0.1$), and $t = 2$. First, calculate $(1 + r)^t=(1 + 0.1)^2=1.1^2 = 1.21$.

Step 2: Calculate the final amount

Multiply the principal by the result from Step 1. So, $A=500\times1.21 = 605$.

Step 3: Calculate the interest earned

The interest earned $I$ is the final amount minus the principal amount. So, $I=A - P=605−500 = 105$.

for the geometry part:

Step 1: Analyze the transformation

Translation moves a figure without rotating or reflecting it. Rotation turns a figure around a point. Reflection flips a figure across a line. Dilation changes the size of a figure. Looking at triangles $A$ and $B$, the orientation of the triangle has changed. Since translation and dilation do not change the orientation, and the shape and size seem to be the same, the transformation is a rotation.

Answer:

$105$