Answer:
FV= $34,222.33
Step-by-step explanation:
<u>First, we need to calculate the weekly interest rate:</u>
Weekly interest rate= 0.0289/52= 0.00056
<u>To calculate the future value (FV), we need to use the following formula:</u>
FV= {A*[(1+i)^n-1]}/i
A= weekly deposit
n= 15*52= 780
A= $35
FV= {35*[(1.00056^780) - 1]} / 0.00056
FV= $34,222.33
So 20% is 1/5 as a percent.
So 1/5 multiplied by 5 equals 5/5, or 1.
So if 1/5 = 6, then 6 multiplied by 5, or 30, must equal 5/5, or 1.
So the total number of dolls in Amyia's doll collection is 30.
Answer:
y = 2/3x + 3
Step-by-step explanation:
y - 5 = 2/3(x - 3)
y - 5 = 2/3x - 2
y = 2/3x - 2 + 5
y = 2/3x + 3
Given:
m∠B = 44°
Let's find the following measures:
m∠A, m∠BCD, m∠CDE
We have:
• m∠A:
Angle A and Angle B are interior angles on same side of a transversal.
The interior angles are supplementary.
Supplementary angles sum up to 180 degrees
Therefore, we have:
m∠A + m∠B = 180
m∠A + 44 = 180
Subtract 44 from both sides:
m∠A + 44 - 44 = 180 - 44
m∠A = 136°
• m,∠,BCD:
m∠BCD = m∠A
Thus, we have:
m∠BCD = 136°
• m∠CDE:
Angle C and angle CDE form a linear pair.
Linear pair of angles are supplementary and supplementary angle sum up to 180 degrees.
Thus, we have:
m∠D = m∠B
m∠D = 44°
m∠CDE + m∠D = 180
m∠CDE + 44 = 180
Subract 44 from both sides:
m∠CDE + 44 - 44 = 180 - 44
m∠CDE = 136°
ANSWER:
• m∠A = 136°
,
•
,
• m∠BCD = 136°
,
•
,
• m∠CDE = 136°
Answer: a) 30, b) 120
Step-by-step explanation:
Since we have given that
Let the number of points Scored by Dwayne be 'd'.
Number of points in the last basket ball game = 55 points
According to question, we get that

Let the number of points that Chris's score be 'c'.
Number of points Lebron scored = 45
According to question, number of points scored by Chris is given by

a. How many points did Chris score during the game?
c = 30
b. If these are the only three players who scored, what was the team’s total number of points at the end of the game?

Hence, a) 30, b) 120