Heather invested $2,200 at 9% and invested $3,700 at 4%
What represents the amount invested in each asset?
The amount invested at 9% can be represented as x whereas the balance invested at 4% is (5900-x), as a result, the interest earned on each is computed thus:
Interest 9%=x*9%
interest at 9%=0.09x
Interest at 4%=(5900-x)*4%
interest at 4%=236-0.04x
Total interest=0.09x+236-0.04x
total interest=0.05x+236
Total interest earned=346
346=0.05x+236
346-236=0.05x
110=0.05x
x=110/0.05
x=$2,200(invested at 9%)
amount invested at 4%=5900-2200
amount invested at 4%=$3,700
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That is called an acute angle if it’s more than 90 degrees it’s called o tuse angle
N =9/8
n = 1 1/8
Hope this helpsb☺
A. Every month Population will increase by a factor of 0.84%.
B. Every 3 months Population will increase by a factor of 2.5%.
C. Increase in population in every 20 months is 10% + 6.72% = 16.72%.
<u>Step-by-step explanation:</u>
Here, we have number of employees in a company has been growing exponentially by 10% each year. So , If we have population as x in year 2019 , an increase of 10% in population in 2020 as
which is equivalent to
.
<u>A.</u>
For each month: We have 12 months in a year and so, distributing 10% in 12 months would be like
. ∴ Every month Population will increase by a factor of 0.84%.
<u>B.</u>
In every 3 months: We have , 12 months in a year , in order to check for every 3 months
and Now, Population increase in every 3 months is
. ∴ Every 3 months Population will increase by a factor of 2.5%.
<u>C.</u>
In every 20 months: We have , 12 months in a year in which increase in population is 10% . Left number of moths for which we have to calculate factor of increase in population is 20-12 = 8. For 1 month , there is 0.84% increase in population ∴ For 8 months , 8 × 0.84 = 6.72 %.
So , increase in population in every 20 months is 10% + 6.72% = 16.72%.