See the attached picture:
Answer:
A(10) = $13,961.50
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 5.25/100
r = 0.0525 rate per year,
Then solve the equation for A
The formula is given as:
A = Pe^rt
P = 8259
r = 0.0525
t = 10 years.
Hence,
A = 8,259.00 × e^(0.0525×10)
A = $13,961.50
Therefore, the money that will be in the account after 10 years is $13,961.50
<span>When flipping two standard American quarters, there are four independent possible outcomes:
-Tails, tails
-Heads, heads
-Heads, tails
-Tails, heads
Looking, then, at these four outcomes, there are three of those that include at least one head. As such, the answer to this question is three possibly different ways for her to achieve the desired outcome.</span>
Question 1:
Since this is an isosceles trapezoid angle J is equal to angle M
20x + 9 = 14x + 15
Subtract both sides by 14x and 9
6x = 6
Divide both sides by 6
x = 1
Plug this into 14x + 15 and 20x + 9
You get 29 degrees.
Now, multiply that by 2.
29 * 2 = 58
Subtract that from 360 to get the sum of angles K and L
360 - 58 = 302
Now, divide that by 2 since we know that angles K and L are congruent.
302 / 2 = 151
That's the measure for both angle K and L.
The first choice is your answer.
Question 2:
The diagonals of a rhombus are always perpendicular. That means angles 1, 2, and 3 are all equal to 90 degrees.
Although it may seem that we'll have to solve for x, y, and z. We really only need to solve for z.
For angle 2, we know that x + y = 90.
Now, let's solve for z.
30z = 90
Divide both sides by 30
z = 3
Now, add them all together
x + y + z
= 90 + 3
= 93
The first choice is your answer.
Question 3:
The diagonals of a rectangle are always congruent.
6x + 16 = 49
Subtract both sides by 16
6x = 33
Now, divide both sides by 6
x = 5.5
The last choice is your answer.
Have an awesome day! :)
