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Gnoma [55]
3 years ago
12

Isabella has twice as much money invested at 4% as she has invested at 3%, and she has $500 more invested at 5% than she has at

3%. If the annual income from these three investments is $2025, how much does she have invested at 4%?
Mathematics
1 answer:
leva [86]3 years ago
7 0
.04(2x)+.03(x)+.05(500+x)=2025

.08x+.03x+.05x+25=2025

.16x+25=2025

.16x=2000

x=12500

She has 2x invested at 4%, so she had $25000.00 invested at 4%.
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What is the sum of the sequence 152,138,124, ... if there are 24 terms?
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Answer: -216

Step-by-step explanation:

To solve the exercise you must use the formula shown below:

Sn=\frac{(a_1+a_n)n}{2}

Where:

a_1=152\\a_n=a_{24}

You should find  a_{24}

The formula to find it is:

a_n=a_1+(n-1)d

Where d is the difference between two consecutive terms.

d=138-152=-14

Then:

a_{24}=152+(24-1)(14)=-170

Substitute it into the first formula. Therefore, you obtain:

S_{24}=\frac{(152-170)(24)}{2}=-216

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Answer:

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Step-by-step explanation:

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