Suppose you deposit $5,000 in a savings account that earns 3% annual interest. If you make no other withdrawals or deposits, how many years will it take the account balance to reach at least $6,000? A. 10 years. B. 6 years. C. 7 years. D. 4 years
Answer:
The first x = 4
The second x = 6.25
Step-by-step explanation:
For the first question. We need to make use of the midsegment theorem which says, if you have a trapezoid with base1 and base2, then the midsegment is given as:
(Base1 + Base 2)/2.
We are given Base 1 = 5x + 3 and Base 2 = 12x – 3 and the midsegment, JK = 34. To find x we have:
(5x + 3 + 12x – 3)/2 = 34
This gives: 17x/2 = 34.
Therefore, x = (34 x 2)/17 = 4. Thus, x = 4.
As for the second question, we have two diagonals of the rectangle, FH and JG. We are given that JG = 40. We know that the diagonals of the rectangle are equal, therefore FH = 40 as well.
We are told that M is the midpoint, meaning FM is half of the diagonal FH. Mathematically this can be written as:
FM = FH/2
Given that FM = 3.2x and FH = 40, we have:
3.2x = 40/2
3.2x = 20
x = 20/3.2
x = 6.25
Answer:
Step-by-step explanation:
We have to note that there are 4 kings in a deck of 52 cards.
This makes the probability of choosing a king the first time 
.
We now know that we can choose another king from the deck, but it's important to note that it's not a 
chance. We now only have 51 cards in the deck, and 3 kings left. This means the probability of choosing a king now is 
.
To find the probability of doing both these, we need to multiply the fractions.
Hope this helped!
Given:
Circle radius = 2.75 m
People's reach = 1.5m
Get the area of the circle.
A = π r² ⇒ 3.14 * (2.75m)² ⇒ 3.14 * 7.5625m² = 23.75 m²
Get the area of the inner circle:
r = 2.75 m - 1.5 m = 1.25 m
A = 3.14 * (1.25m)² ⇒ 3.14 * 1.5625 m² = 4.91 m²
Subtract the area of the inner circle from the total area to get the area that people can reach.
A = 23.75 m² - 4.91 m² = 18.84 m²
