GJ is a tangent
АG is a radius
A tangent line to a circle is perpendicular to the radius drawn to the tangent point ⇒ m∠АGJ = 90° ⇒ ΔАGJ is the right triangle.
<span>By the Pythagorean theorem:
</span>AJ² = АG² + GJ²
AJ² = 9² + 12² = 81 + 144 = 225
AJ = √225 = 15 units.
0.3 is 3 tenths.
The order of "ths" is tenths, hundredths, thousandths.
Since there are no numbers after the 3, you simply have to add 2 zeros to make it 300 thousandths.
0.300<span />
It is a good idea to check to see if your answer is reasonable because a. if your answer is reasonable, you have probably done the problem correctly.
Answer:
$36 400
Step-by-step explanation:
Step 1
The first step is to figure out how much money is saved at the end of each month for the period from January 1 to June 15. The amount deposited at the end of each month is obtained by multiplying the amount from the previous month by 3.
The amount deposited in January is ![\$100.](https://tex.z-dn.net/?f=%5C%24100.)
The amount deposited in February is ![1\$00\times 3= \$300.](https://tex.z-dn.net/?f=1%5C%2400%5Ctimes%203%3D%20%5C%24300.)
The amount deposited in March is ![\$300\times 3= \$900.](https://tex.z-dn.net/?f=%5C%24300%5Ctimes%203%3D%20%5C%24900.)
The amount deposited in April is ![\$900\times 3= \$2\700.](https://tex.z-dn.net/?f=%5C%24900%5Ctimes%203%3D%20%5C%242%5C700.)
The amount deposited in May is ![\$2\,700\times 3= \$8\,100.](https://tex.z-dn.net/?f=%5C%242%5C%2C700%5Ctimes%203%3D%20%5C%248%5C%2C100.)
The amount deposited in June is ![\$8\,100\times 3= \$24\,300.](https://tex.z-dn.net/?f=%5C%248%5C%2C100%5Ctimes%203%3D%20%5C%2424%5C%2C300.)
Step 2
The next step is to add up all the money that was deposited into the account. This calculation is shown below,
![\$100+\$300+900+\$\$2\,700+\$8\,100+\$24\,000=\$36\,400](https://tex.z-dn.net/?f=%5C%24100%2B%5C%24300%2B900%2B%5C%24%5C%242%5C%2C700%2B%5C%248%5C%2C100%2B%5C%2424%5C%2C000%3D%5C%2436%5C%2C400)