Based on the calculations, the amount of money she invested is equal to $3,520.
<h3>How to determine the amount invested?</h3>
First of all, we would assign variables to the amount of money that he invested at different interest rates as follows:
- Let x be the amount of money she invested at 11%.
- Let y be the amount of money she invested at 14%.
Since Lydia invested the same amount of money in both stocks, we have:
x = y ....equation 1.
At the two interest rates, the total amount Lydia gets is given by:
0.11x + 0.14y = 440 ....equation 2.
Solving the equations simultaneously, we have:
0.11y + 0.14y = 440
0.25y = 440
y = 440/0.25
y = $1,760.
Thus, the total investment is given by:
Total investment = 1760 + 1760
Total investment = $3,520.
Read more on interest rates here: brainly.com/question/16793428
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Answer: c=7
Step-by-step explanation:
8c = 56 Divide both sides by 8
c = 7
Answer:
Step-by-step explanation:
welp 32 divided by 2 is 16 soooooo
if you need it to be a scientific notation i gootchuuu
steps
1.)a×10n.
2.)to write it in it's original form you have to multiply it by 10 = 10^1.
3.)⇒16=1.6×101.
basically its the power is gonna be positive which is just 1
and you move left one time and your answer is just 1.6^1
I’m assuming you mean 7.2% for the annual interest rate and not 72%. If the annual interest rate is 7.2% then the interest after 6 months is $54.
To solve this problem, you us the equation A=P(1+rt)
A stands for the amount of money accumulated after t years
P stands for principal
r stands for annual interest rate
t stands for time (in years)
Next you need to plug it into your formula which should look like this...
A=1500(1+(0.072*0.5))
When you plug in your annual interest rate, you have to move your decimal place 2 places to the left. That is why 7.2% is 0.072 in the formula above.
The reason that I plugged in 0.5 for the time instead of 6 months is because the time in this formula is calculated in years. For example, if the question told you the time was 12 months, 12 months is one year, so you would plug in a 1 for t. Since your question asked for 6 months, 6 months is equal to half a year or 0.5 of a year. That is why t is 0.5 in the formula.
Now that you have your problem, the next step is to solve. I will show you what that looks like down below.
A=1500(1+(0.072*0.5))
A=1500(1+(0.036))
A=1500(1.036)
A=1554
From this problem, we just solved for how much money is in this account after 6 months which is $1554. But we’re not done yet, we are looking for how much interest was earned after 6 months.
To find this, all you have to do is subtract the amount earned after 6 months ($1554) by the principal amount ($1500) using this formula (the I stands for Interest).
A-P=I
1554-1500= 54
The interest earned after 6 months is $54.
(If the annual interest rate is 72% and not 7.2%, you can still use the formulas and my lesson to solve it yourself)
