Answer:
a. Mariah’s estimate of the time is too low
Step-by-step explanation:
To answer this question, we are going to need to input the values in the question into the compound interest formula:

<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
<em />
First, change 3.75% into a decimal:
3.75% ->
-> 0.0375
Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:


Mariah's estimate of the time is too low. Your answer is A.
Answer:
we can use sas theorum
Step-by-step explanation:
since its given 2 sides are congruent its an isoceles trinangle
whhich means angles opposite to equal sides are equal .
think of it like this, after 1 hour there is 2 inches of rain, after 2 hours there is 4 inches of rain, and after 10, there should be 20, so, as it runs 1 it should rise 2.
The mass of cesium left afer 120 years if the original mass of cesium is 8640 with an half-life of 30 years, is 540 grams.
<h3>What is half-life?</h3>
This can be defined as the time taken for half the amount of a radioactive substance to decay.
To calculate the amount of cesium left after 120 years, we use the formua below.
Formula:
- R' = R/(
)............. Equation 1
Where:
- R = Original amount of Cesium
- R' = New amount of cesium
- T = Total time
- t = Half-life
From the question,
Given:
- R = 8640
- T = 120 years
- t = 30 years
Substitute these values into equation 1
- R' = 8640/(
) - R' = 8640/

- R' = 8640/16
- R' = 540 grams.
Hence, The mass of cesium left afer 120 years is 540 grams.
Learn more about half-life here: brainly.com/question/25750315