Hey. Let me help you on this one.
In this problem, we will be needing to calculate values for two different banks with different interest rates. We will need to add both of these values together to find out the total amount of money Gia has. We will also need to find the percentage increase by using the percentage decimal form.
First, let's form two expressions which we can later solve. First account earns an annual 3.4% interest, and the second one earns half of that.
Now that we know the interest rate for both banks (first, and second), we can form an expression for all of them. Before we do this; however, let's find the percentage increase for the banks.
First bank:
Second bank:
Let's form expressions for the banks, now. In order for us to find a certain percentage, we can take the percent in the decimal form, and move the decimal point two spaces to the left.
First bank:
Second bank:
Now, let's add the values together.
Done. We now have our answer. I will be attaching the image that will help you understand what has been done to solve this problem. It should help you on your studies.
Answer: Gia has earned $102 in four years.
Answer:
Step-by-step explanation:
The length of an arc with measure and radius is given by . From the figure, we know that the radius of arc ADC is 4, but we don't know the measure of the arc. Since there are 360 degrees in a circle, the measure of arc ADC is equal to the measure of the arc formed by subtracted from 360. The measure of the arc formed by consists of two congruent angles, and . To find them, we can use basic trigonometry for a right triangle, since by definition, tangents intersect a circle at a right angle.
In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse, or longest side, of the triangle.
We have:
Therefore,
The measure of the central angle of must then be
Thus, the length of is equal to:
(three significant figures as requested by question).
The distance between the points is 5
Answer:
6x-24y
Step-by-step explanation:
Step 1: -30x-12y+36x-12y
Distribute-3 to 10x and 4y
Then distribute 6 to 6x and -2y
Step 2: 6x-24y
After that add up like terms