Amount invested at 8% is 1800 , and Amount invested in 5% is
.
<u>Step-by-step explanation:</u>
Here we have , An executive invests $21,000, some at 8% and the rest at 5% annual interest. If he receives an annual return of $1,590, We need to find how much is invested at each rate . Let's find out:
Let x be amount invested in 8% , So amount invested in 5% will be
$(21,000-x) . According to question , If he receives an annual return of $1,590
⇒ ![\frac{8(x)}{100} +\frac{(21000-x)(5)}{100} =1590](https://tex.z-dn.net/?f=%5Cfrac%7B8%28x%29%7D%7B100%7D%20%2B%5Cfrac%7B%2821000-x%29%285%29%7D%7B100%7D%20%3D1590)
⇒ ![\frac{(21000(5)-5x)+8x}{100} =1590](https://tex.z-dn.net/?f=%5Cfrac%7B%2821000%285%29-5x%29%2B8x%7D%7B100%7D%20%3D1590)
⇒ ![105000+3x=1590(100)](https://tex.z-dn.net/?f=105000%2B3x%3D1590%28100%29)
⇒ ![3x=159000-105000](https://tex.z-dn.net/?f=3x%3D159000-105000)
⇒ ![3x=5400](https://tex.z-dn.net/?f=3x%3D5400)
⇒ ![x=1800](https://tex.z-dn.net/?f=x%3D1800)
Therefore , Amount invested at 8% is 1800 , and Amount invested in 5% is
.
Answer:
12 in
Step-by-step explanation:
sin(28°)=![\frac{a}{25}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7B25%7D)
a=sin(28°)*25
=11.7367
≈12
Answer:
90
Step-by-step explanation:
3600 / 40 = 90
so
90 x 40 = 3600
Answer:
its -9
Step-by-step explanation:
common difference =difference between 2nd term and first term